diff --git a/Makefile b/Makefile
index 6c8f38633fde1688eec11b88611940852922c3b3..09aa037b487ff0c210810246275a77a76c882fdd 100644
--- a/Makefile
+++ b/Makefile
@@ -6,6 +6,8 @@
 SUBDIRS = src examples jni
 
 include config.mk
+TOPLEVEL=.
+include common.mk
 
 CONFIG_VARS= INCLUDE_TESTS
 
diff --git a/README.md b/README.md
index 91ee36c02e214e266e0d4a333abbd9b7823f637c..c1c1293c2c5ff954bf589c9b93885640c285174a 100644
--- a/README.md
+++ b/README.md
@@ -12,8 +12,8 @@ Features
 * Parsing backends:
   * Packrat parsing
   * LL(k) 
-  * GLR (not yet implemented)
-  * LALR(8) (not yet implemented)
+  * GLR 
+  * LALR
   * Regular expressions 
 * Language bindings: 
   * C++ (not yet implemented)
@@ -28,7 +28,7 @@ Features
 Installing
 ==========
 ### Prerequisites
-* make
+* SCons
 * a JDK
 
 ### Optional Dependencies
@@ -36,11 +36,15 @@ Installing
 * glib-2.0 (>= 2.29) (for `make test`)
 * glib-2.0-dev (for `make test`)
 
-To install, type `make`. To run the built-in test suite, type `make test`.
+To build, type `scons`. To run the built-in test suite, type `scons test`. For a debug build, add `--variant=debug`
 
-If jni.h and jni_md.h aren't already somewhere on your include path, prepend `C_INCLUDE_PATH=/path/to/jdk/include` to that.
+If jni.h and jni_md.h aren't already somewhere on your include path, prepend
+`C_INCLUDE_PATH=/path/to/jdk/include` to that.
 
-There is not currently a `make install` target; to make Hammer available system-wide, copy `libhammer.a` to `/usr/lib/` (or `/usr/local/lib/`, or wherever ld will find it) and `hammer.h` to `/usr/include/`. 
+There is currently no `install` target; to make Hammer available system-wide,
+copy `libhammer.a` and `libhammer.so` from `build/opt/src` to `/usr/lib/` (or
+`/usr/local/lib/`, or wherever ld will find it) and `hammer.h` to
+`/usr/include/`. 
 
 Usage
 =====
diff --git a/SConstruct b/SConstruct
index 10bcdecd437b0842162dc6a643fe487aa13242cc..c652b808abd60ac09dcb2fa4e41160ef4240708e 100644
--- a/SConstruct
+++ b/SConstruct
@@ -8,7 +8,7 @@ AddOption("--variant",
           dest="variant",
           nargs=1, type="choice",
           choices=["debug", "opt"],
-          default="debug",
+          default="opt",
           action="store",
           help="Build variant (debug or opt)")
 
@@ -28,3 +28,5 @@ Export('env')
 
 env.SConscript(["src/SConscript"], variant_dir='build/$VARIANT/src')
 env.SConscript(["examples/SConscript"], variant_dir='build/$VARIANT/examples')
+
+env.Command('test', 'build/$VARIANT/src/test_suite', 'env LD_LIBRARY_PATH=build/$VARIANT/src $SOURCE')
\ No newline at end of file
diff --git a/common.mk b/common.mk
index 26734952f3cde74e9b9b42c9c1330653ad4a3ef1..e98d3a2b2330f38ce1922e2d227269e55f18688d 100644
--- a/common.mk
+++ b/common.mk
@@ -1,3 +1,7 @@
+ifneq ($(REALLY_USE_OBSOLETE_BUILD_SYSTEM),yes)
+$(error This is the old build system. Use "scons" to build, or use $(MAKE) REALLY_USE_OBSOLETE_BUILD_SYSTEM=yes)
+endif
+
 # Check to make sure variables are properly set
 ifeq ($(TOPLEVEL),)
 $(error $$TOPLEVEL is unset)
diff --git a/examples/rr.c b/examples/rr.c
index 2ba85341d0f444924f9801656eeb8fa94728ac3e..dd250637a7eaccf1074f9441bb6d273452cc130d 100644
--- a/examples/rr.c
+++ b/examples/rr.c
@@ -181,7 +181,7 @@ HParser* init_rdata(uint16_t type) {
   parsers[16] = txt;
 
   // All parsers must consume their input exactly.
-  for(uint16_t i; i<sizeof(parsers); i++) {
+  for(uint16_t i = 0; i<RDATA_TYPE_MAX+1; i++) {
     if(parsers[i]) {
       parsers[i] = h_action(h_sequence(parsers[i], h_end_p(), NULL),
 			    act_index0);
diff --git a/src/Makefile b/src/Makefile
index 7fac881ae0882fb0d436005d65dd63125914af4c..9ce6d9f8314ddbf22f1083c880dad86a349b82d9 100644
--- a/src/Makefile
+++ b/src/Makefile
@@ -27,8 +27,10 @@ PARSERS := \
 
 BACKENDS := \
 	packrat \
+	regex \
 	llk \
-	regex
+	lalr \
+	glr
 
 HAMMER_PARTS := \
 	bitreader.o \
@@ -42,6 +44,8 @@ HAMMER_PARTS := \
 	benchmark.o \
 	cfgrammar.o \
 	glue.o \
+	backends/lr.o \
+	backends/lr0.o \
 	$(PARSERS:%=parsers/%.o) \
 	$(BACKENDS:%=backends/%.o)
 
diff --git a/src/SConscript b/src/SConscript
index 70868a41aa6e354b18ff972a1b6d02fda0302a18..e87a038cb85568a2d23843be1c52ec0a7ee46c46 100644
--- a/src/SConscript
+++ b/src/SConscript
@@ -1,3 +1,4 @@
+# -*- python -*-
 Import('env')
 
 parsers = ['parsers/%s.c'%s for s in
@@ -27,7 +28,7 @@ parsers = ['parsers/%s.c'%s for s in
             'xor']] 
 
 backends = ['backends/%s.c' % s for s in
-            ['packrat', 'llk', 'regex']]
+            ['packrat', 'llk', 'regex', 'glr', 'lalr', 'lr', 'lr0']]
 
 misc_hammer_parts = [
     'allocator.c',
diff --git a/src/allocator.c b/src/allocator.c
index e345c875317716da362e5b8ca9ed35298dc32e59..80fa92172eb9f0c785fdc4f94960d34cf6d0ff75 100644
--- a/src/allocator.c
+++ b/src/allocator.c
@@ -65,10 +65,10 @@ void* h_arena_malloc(HArena *arena, size_t size) {
   if (size <= arena->head->free) {
     // fast path..
     void* ret = arena->head->rest + arena->head->used;
-    arena->used += size + 1;
+    arena->used += size;
     arena->wasted -= size;
-    arena->head->used += size + 1;
-    arena->head->free -= size + 1;
+    arena->head->used += size;
+    arena->head->free -= size;
     return ret;
   } else if (size > arena->block_size) {
     // We need a new, dedicated block for it, because it won't fit in a standard sized one.
diff --git a/src/backends/contextfree.h b/src/backends/contextfree.h
index 9c2ec4598cb703ba773c4d515b90a2165a73c336..b387e55df21387d4be137d7ff159889de50985ba 100644
--- a/src/backends/contextfree.h
+++ b/src/backends/contextfree.h
@@ -11,6 +11,8 @@ struct HCFStack_ {
   int count;
   int cap;
   HCFChoice *last_completed; // Last completed choice.
+                             // XXX is last_completed still needed?
+  HCFChoice *prealloc; // If not NULL, will be used for the outermost choice.
 };
 
 #ifndef UNUSED
@@ -25,11 +27,13 @@ static HCFStack* h_cfstack_new(HAllocator *mm__) {
   stack->count = 0;
   stack->cap = 4;
   stack->stack = h_new(HCFChoice*, stack->cap);
+  stack->prealloc = NULL;
   return stack;
 }
 
 static void h_cfstack_free(HAllocator *mm__, HCFStack *stk__) UNUSED; 
 static void h_cfstack_free(HAllocator *mm__, HCFStack *stk__) {
+  h_free(stk__->prealloc);
   h_free(stk__->stack);
   h_free(stk__);
 }
@@ -56,7 +60,9 @@ static inline void h_cfstack_add_to_seq(HAllocator *mm__, HCFStack *stk__, HCFCh
 }
 
 static inline HCFChoice* h_cfstack_new_choice_raw(HAllocator *mm__, HCFStack *stk__) {
-  HCFChoice *ret = h_new(HCFChoice, 1);
+  HCFChoice *ret = stk__->prealloc? stk__->prealloc : h_new(HCFChoice, 1);
+  stk__->prealloc = NULL;
+
   ret->reshape = NULL;
   ret->action = NULL;
   ret->pred = NULL;
diff --git a/src/backends/glr.c b/src/backends/glr.c
new file mode 100644
index 0000000000000000000000000000000000000000..353d0e6433100357287e40487299aa8327baad07
--- /dev/null
+++ b/src/backends/glr.c
@@ -0,0 +1,294 @@
+#include <assert.h>
+#include "lr.h"
+
+static bool glr_step(HParseResult **result, HSlist *engines,
+                     HLREngine *engine, const HLRAction *action);
+
+
+/* GLR compilation (LALR w/o failing on conflict) */
+
+int h_glr_compile(HAllocator* mm__, HParser* parser, const void* params)
+{
+  int result = h_lalr_compile(mm__, parser, params);
+
+  if(result == -1 && parser->backend_data) {
+    // table is there, just has conflicts? nevermind, that's okay.
+    result = 0;
+  }
+
+  return result;
+}
+
+void h_glr_free(HParser *parser)
+{
+  h_lalr_free(parser);
+}
+
+
+/* Merging engines (when they converge on the same state) */
+
+static HLREngine *lrengine_merge(HLREngine *old, HLREngine *new)
+{
+  HArena *arena = old->arena;
+
+  HLREngine *ret = h_arena_malloc(arena, sizeof(HLREngine));
+
+  assert(old->state == new->state);
+  assert(old->input.input == new->input.input);
+
+  *ret = *old;
+  ret->stack = h_slist_new(arena);
+  ret->merged[0] = old;
+  ret->merged[1] = new;
+
+  return ret;
+}
+
+static HSlist *demerge_stack(HSlistNode *bottom, HSlist *stack)
+{
+  HArena *arena = stack->arena;
+
+  HSlist *ret = h_slist_new(arena);
+
+  // copy the stack from the top
+  HSlistNode **y = &ret->head;
+  for(HSlistNode *x=stack->head; x; x=x->next) {
+    HSlistNode *node = h_arena_malloc(arena, sizeof(HSlistNode));
+    node->elem = x->elem;
+    node->next = NULL;
+    *y = node;
+    y = &node->next;
+  }
+  *y = bottom;  // attach the ancestor stack
+
+  return ret;
+}
+
+static inline HLREngine *respawn(HLREngine *eng, HSlist *stack)
+{
+  // NB: this can be a destructive update because an engine is not used for
+  // anything after it is merged.
+  eng->stack = demerge_stack(eng->stack->head, stack);
+  return eng;
+}
+
+static HLREngine *
+demerge(HParseResult **result, HSlist *engines,
+        HLREngine *engine, const HLRAction *action, size_t depth)
+{
+  // no-op on engines that are not merged
+  if(!engine->merged[0])
+    return engine;
+
+  HSlistNode *p = engine->stack->head;
+  for(size_t i=0; i<depth; i++) {
+    // if stack hits bottom, respawn ancestors
+    if(p == NULL) {
+      HLREngine *a = respawn(engine->merged[0], engine->stack);
+      HLREngine *b = respawn(engine->merged[1], engine->stack);
+
+      // continue demerge until final depth reached
+      a = demerge(result, engines, a, action, depth-i);
+      b = demerge(result, engines, b, action, depth-i);
+      
+      // step and stow one ancestor...
+      glr_step(result, engines, a, action);
+
+      // ...and return the other
+      return b;
+    }
+    p = p->next;
+  }
+
+  return engine;    // there is enough stack before the merge point
+}
+
+
+/* Forking engines (on conflicts */
+
+HLREngine *fork_engine(const HLREngine *engine)
+{
+  HLREngine *eng2 = h_arena_malloc(engine->tarena, sizeof(HLREngine));
+  eng2->table = engine->table;
+  eng2->state = engine->state;
+  eng2->input = engine->input;
+
+  // shallow-copy the stack
+  // this works because h_slist_push and h_slist_drop never modify
+  // the underlying structure of HSlistNodes, only the head pointer.
+  // in fact, this gives us prefix sharing for free.
+  eng2->stack = h_arena_malloc(engine->tarena, sizeof(HSlist));
+  *eng2->stack = *engine->stack;
+
+  eng2->arena = engine->arena;
+  eng2->tarena = engine->tarena;
+  return eng2;
+}
+
+static const HLRAction *
+handle_conflict(HParseResult **result, HSlist *engines,
+                const HLREngine *engine, const HSlist *branches)
+{
+  // there should be at least two conflicting actions
+  assert(branches->head);
+  assert(branches->head->next);     // this is just a consistency check
+
+  // fork a new engine for all but the first action
+  for(HSlistNode *x=branches->head->next; x; x=x->next) {
+    HLRAction *act = x->elem; 
+    HLREngine *eng = fork_engine(engine);
+
+    // perform one step and add to engines
+    glr_step(result, engines, eng, act);
+  } 
+
+  // return first action for use with original engine
+  return branches->head->elem;
+}
+
+
+/* GLR driver */
+
+static bool glr_step(HParseResult **result, HSlist *engines,
+                     HLREngine *engine, const HLRAction *action)
+{
+  // handle forks and demerges (~> spawn engines)
+  if(action) {
+    if(action->type == HLR_CONFLICT) {
+      // fork engine on conflicts
+      action = handle_conflict(result, engines, engine, action->branches);
+    } else if(action->type == HLR_REDUCE) {
+      // demerge/respawn as needed
+      size_t depth = action->production.length;
+      engine = demerge(result, engines, engine, action, depth);
+    }
+  }
+
+  bool run = h_lrengine_step(engine, action);
+  
+  if(run) {
+    // store engine in the list, merge if necessary
+    HSlistNode *x;
+    for(x=engines->head; x; x=x->next) {
+      HLREngine *eng = x->elem;
+      if(eng->state == engine->state) {
+        x->elem = lrengine_merge(eng, engine);
+        break;
+      }
+    }
+    if(!x)  // no merge happened
+      h_slist_push(engines, engine);
+  } else if(engine->state == HLR_SUCCESS) {
+    // save the result
+    *result = h_lrengine_result(engine);
+  }
+
+  return run;
+}
+
+HParseResult *h_glr_parse(HAllocator* mm__, const HParser* parser, HInputStream* stream)
+{
+  HLRTable *table = parser->backend_data;
+  if(!table)
+    return NULL;
+
+  HArena *arena  = h_new_arena(mm__, 0);    // will hold the results
+  HArena *tarena = h_new_arena(mm__, 0);    // tmp, deleted after parse
+
+  // allocate engine lists (will hold one engine per state)
+  // these are swapped each iteration
+  HSlist *engines = h_slist_new(tarena);
+  HSlist *engback = h_slist_new(tarena);
+
+  // create initial engine
+  h_slist_push(engines, h_lrengine_new(arena, tarena, table, stream));
+
+  HParseResult *result = NULL;
+  while(result == NULL && !h_slist_empty(engines)) {
+    assert(h_slist_empty(engback));
+
+    // step all engines
+    while(!h_slist_empty(engines)) {
+      HLREngine *engine = h_slist_pop(engines);
+      const HLRAction *action = h_lrengine_action(engine);
+      glr_step(&result, engback, engine, action);
+    }
+
+    // swap the lists
+    HSlist *tmp = engines;
+    engines = engback;
+    engback = tmp;
+  }
+
+  if(!result)
+    h_delete_arena(arena);
+  h_delete_arena(tarena);
+  return result;
+}
+
+
+
+HParserBackendVTable h__glr_backend_vtable = {
+  .compile = h_glr_compile,
+  .parse = h_glr_parse,
+  .free = h_glr_free
+};
+
+
+
+
+// dummy!
+int test_glr(void)
+{
+  HAllocator *mm__ = &system_allocator;
+
+  /* 
+     E -> E '+' E
+        | 'd'
+  */
+
+  HParser *d = h_ch('d');
+  HParser *E = h_indirect();
+  HParser *E_ = h_choice(h_sequence(E, h_ch('+'), E, NULL), d, NULL);
+  h_bind_indirect(E, E_);
+  HParser *p = E;
+
+  printf("\n==== G R A M M A R ====\n");
+  HCFGrammar *g = h_cfgrammar_(mm__, h_desugar_augmented(mm__, p));
+  if(g == NULL) {
+    fprintf(stderr, "h_cfgrammar failed\n");
+    return 1;
+  }
+  h_pprint_grammar(stdout, g, 0);
+
+  printf("\n==== D F A ====\n");
+  HLRDFA *dfa = h_lr0_dfa(g);
+  if(dfa)
+    h_pprint_lrdfa(stdout, g, dfa, 0);
+  else
+    fprintf(stderr, "h_lalr_dfa failed\n");
+
+  printf("\n==== L R ( 0 )  T A B L E ====\n");
+  HLRTable *table0 = h_lr0_table(g, dfa);
+  if(table0)
+    h_pprint_lrtable(stdout, g, table0, 0);
+  else
+    fprintf(stderr, "h_lr0_table failed\n");
+  h_lrtable_free(table0);
+
+  printf("\n==== L A L R  T A B L E ====\n");
+  if(h_compile(p, PB_GLR, NULL)) {
+    fprintf(stderr, "does not compile\n");
+    return 2;
+  }
+  h_pprint_lrtable(stdout, g, (HLRTable *)p->backend_data, 0);
+
+  printf("\n==== P A R S E  R E S U L T ====\n");
+  HParseResult *res = h_parse(p, (uint8_t *)"d+d+d", 5);
+  if(res)
+    h_pprint(stdout, res->ast, 0, 2);
+  else
+    printf("no parse\n");
+
+  return 0;
+}
diff --git a/src/backends/lalr.c b/src/backends/lalr.c
new file mode 100644
index 0000000000000000000000000000000000000000..93becf31b23f0ba5a1204441442c96622aa55fe7
--- /dev/null
+++ b/src/backends/lalr.c
@@ -0,0 +1,389 @@
+#include <assert.h>
+#include "contextfree.h"
+#include "lr.h"
+
+
+
+/* LALR-via-SLR grammar transformation */
+
+static inline size_t seqsize(void *p_)
+{
+  size_t n=0;
+  for(void **p=p_; *p; p++) n++;
+  return n+1;
+}
+
+static HLRAction *
+lrtable_lookup(const HLRTable *table, size_t state, const HCFChoice *symbol)
+{
+  switch(symbol->type) {
+  case HCF_END:
+    return table->tmap[state]->end_branch;
+  case HCF_CHAR:
+    return h_stringmap_get(table->tmap[state], &symbol->chr, 1, false);
+  default:
+    // nonterminal case
+    return h_hashtable_get(table->ntmap[state], symbol);
+  }
+}
+
+static size_t follow_transition(const HLRTable *table, size_t x, HCFChoice *A)
+{
+  HLRAction *action = lrtable_lookup(table, x, A);
+  assert(action != NULL);
+  assert(action->type == HLR_SHIFT);
+  return action->nextstate;
+}
+
+static inline HLRTransition *transition(HArena *arena,
+                                        size_t x, const HCFChoice *A, size_t y)
+{
+  HLRTransition *t = h_arena_malloc(arena, sizeof(HLRTransition));
+  t->from = x;
+  t->symbol = A;
+  t->to = y;
+  return t;
+}
+
+// no-op on terminal symbols
+static void transform_productions(const HLRTable *table, HLREnhGrammar *eg,
+                                  size_t x, HCFChoice *xAy)
+{
+  if(xAy->type != HCF_CHOICE)
+    return;
+  // XXX CHARSET?
+
+  HArena *arena = eg->arena;
+
+  HCFSequence **seq = h_arena_malloc(arena, seqsize(xAy->seq)
+                                            * sizeof(HCFSequence *));
+  HCFSequence **p, **q;
+  for(p=xAy->seq, q=seq; *p; p++, q++) {
+    // trace rhs starting in state x and following the transitions
+    // xAy -> ... iBj ...
+
+    size_t i = x;
+    HCFChoice **B = (*p)->items;
+    HCFChoice **items = h_arena_malloc(arena, seqsize(B) * sizeof(HCFChoice *));
+    HCFChoice **iBj = items;
+    for(; *B; B++, iBj++) {
+      size_t j = follow_transition(table, i, *B);
+      HLRTransition *i_B_j = transition(arena, i, *B, j);
+      *iBj = h_hashtable_get(eg->tmap, i_B_j);
+      assert(*iBj != NULL);
+      i = j;
+    }
+    *iBj = NULL;
+
+    *q = h_arena_malloc(arena, sizeof(HCFSequence));
+    (*q)->items = items;
+  }
+  *q = NULL;
+  xAy->seq = seq;
+}
+
+static HCFChoice *new_enhanced_symbol(HLREnhGrammar *eg, const HCFChoice *sym)
+{
+  HArena *arena = eg->arena;
+  HCFChoice *esym = h_arena_malloc(arena, sizeof(HCFChoice));
+  *esym = *sym;
+
+  HHashSet *cs = h_hashtable_get(eg->corr, sym);
+  if(!cs) {
+    cs = h_hashset_new(arena, h_eq_symbol, h_hash_symbol);
+    h_hashtable_put(eg->corr, sym, cs);
+  }
+  h_hashset_put(cs, esym);
+
+  return esym;
+}
+
+static HLREnhGrammar *enhance_grammar(const HCFGrammar *g, const HLRDFA *dfa,
+                                      const HLRTable *table)
+{
+  HAllocator *mm__ = g->mm__;
+  HArena *arena = g->arena;
+
+  HLREnhGrammar *eg = h_arena_malloc(arena, sizeof(HLREnhGrammar));
+  eg->tmap = h_hashtable_new(arena, h_eq_transition, h_hash_transition);
+  eg->smap = h_hashtable_new(arena, h_eq_ptr, h_hash_ptr);
+  eg->corr = h_hashtable_new(arena, h_eq_symbol, h_hash_symbol);
+  // XXX must use h_eq/hash_ptr for symbols! so enhanced CHARs are different
+  eg->arena = arena;
+
+  // establish mapping between transitions and symbols
+  for(HSlistNode *x=dfa->transitions->head; x; x=x->next) {
+    HLRTransition *t = x->elem;
+
+    assert(!h_hashtable_present(eg->tmap, t));
+
+    HCFChoice *sym = new_enhanced_symbol(eg, t->symbol);
+    h_hashtable_put(eg->tmap, t, sym);
+    h_hashtable_put(eg->smap, sym, t);
+  }
+
+  // transform the productions
+  H_FOREACH(eg->tmap, HLRTransition *t, HCFChoice *sym)
+    transform_productions(table, eg, t->from, sym);
+  H_END_FOREACH
+
+  // add the start symbol
+  HCFChoice *start = new_enhanced_symbol(eg, g->start);
+  transform_productions(table, eg, 0, start);
+
+  eg->grammar = h_cfgrammar_(mm__, start);
+  return eg;
+}
+
+
+
+/* LALR table generation */
+
+static inline bool has_conflicts(HLRTable *table)
+{
+  return !h_slist_empty(table->inadeq);
+}
+
+// for each lookahead symbol (fs), put action into tmap
+// returns 0 on success, -1 on conflict
+// ignores forall entries
+static int terminals_put(HStringMap *tmap, const HStringMap *fs, HLRAction *action)
+{
+  int ret = 0;
+
+  if(fs->epsilon_branch) {
+    HLRAction *prev = tmap->epsilon_branch;
+    if(prev && prev != action) {
+      // conflict
+      tmap->epsilon_branch = h_lr_conflict(tmap->arena, prev, action);
+      ret = -1;
+    } else {
+      tmap->epsilon_branch = action;
+    }
+  }
+
+  if(fs->end_branch) {
+    HLRAction *prev = tmap->end_branch;
+    if(prev && prev != action) {
+      // conflict
+      tmap->end_branch = h_lr_conflict(tmap->arena, prev, action);
+      ret = -1;
+    } else {
+      tmap->end_branch = action;
+    }
+  }
+
+  H_FOREACH(fs->char_branches, void *key, HStringMap *fs_)
+    HStringMap *tmap_ = h_hashtable_get(tmap->char_branches, key);
+
+    if(!tmap_) {
+      tmap_ = h_stringmap_new(tmap->arena);
+      h_hashtable_put(tmap->char_branches, key, tmap_);
+    }
+
+    if(terminals_put(tmap_, fs_, action) < 0)
+      ret = -1;
+  H_END_FOREACH
+
+  return ret;
+}
+
+// check whether a sequence of enhanced-grammar symbols (p) matches the given
+// (original-grammar) production rhs and terminates in the given end state.
+static bool match_production(HLREnhGrammar *eg, HCFChoice **p,
+                             HCFChoice **rhs, size_t endstate)
+{
+  size_t state = endstate;  // initialized to end in case of empty rhs
+  for(; *p && *rhs; p++, rhs++) {
+    HLRTransition *t = h_hashtable_get(eg->smap, *p);
+    assert(t != NULL);
+    if(!h_eq_symbol(t->symbol, *rhs))
+      return false;
+    state = t->to;
+  }
+  return (*p == *rhs    // both NULL
+          && state == endstate);
+}
+
+// desugar parser with a fresh start symbol
+// this guarantees that the start symbol will not occur in any productions
+HCFChoice *h_desugar_augmented(HAllocator *mm__, HParser *parser)
+{
+  HCFChoice *augmented = h_new(HCFChoice, 1);
+
+  HCFStack *stk__ = h_cfstack_new(mm__);
+  stk__->prealloc = augmented;
+  HCFS_BEGIN_CHOICE() {
+    HCFS_BEGIN_SEQ() {
+      HCFS_DESUGAR(parser);
+    } HCFS_END_SEQ();
+    HCFS_THIS_CHOICE->reshape = h_act_first;
+  } HCFS_END_CHOICE();
+  h_cfstack_free(mm__, stk__);
+
+  return augmented;
+}
+
+int h_lalr_compile(HAllocator* mm__, HParser* parser, const void* params)
+{
+  // generate (augmented) CFG from parser
+  // construct LR(0) DFA
+  // build LR(0) table
+  // if necessary, resolve conflicts "by conversion to SLR"
+
+  HCFGrammar *g = h_cfgrammar_(mm__, h_desugar_augmented(mm__, parser));
+  if(g == NULL)     // backend not suitable (language not context-free)
+    return -1;
+
+  HLRDFA *dfa = h_lr0_dfa(g);
+  if(dfa == NULL) {     // this should normally not happen
+    h_cfgrammar_free(g);
+    return -1;
+  }
+
+  HLRTable *table = h_lr0_table(g, dfa);
+  if(table == NULL) {   // this should normally not happen
+    h_cfgrammar_free(g);
+    return -1;
+  }
+
+  if(has_conflicts(table)) {
+    HArena *arena = table->arena;
+
+    HLREnhGrammar *eg = enhance_grammar(g, dfa, table);
+    if(eg == NULL) {    // this should normally not happen
+      h_cfgrammar_free(g);
+      h_lrtable_free(table);
+      return -1;
+    }
+
+    // go through the inadequate states; replace inadeq with a new list
+    HSlist *inadeq = table->inadeq;
+    table->inadeq = h_slist_new(arena);
+    
+    for(HSlistNode *x=inadeq->head; x; x=x->next) {
+      size_t state = (uintptr_t)x->elem;
+      bool inadeq = false;
+      
+      // clear old forall entry, it's being replaced by more fine-grained ones
+      table->forall[state] = NULL;
+
+      // go through each reducible item of state
+      H_FOREACH_KEY(dfa->states[state], HLRItem *item)
+        if(item->mark < item->len)
+          continue;
+
+        // action to place in the table cells indicated by lookahead
+        HLRAction *action = h_reduce_action(arena, item);
+
+        // find all LR(0)-enhanced productions matching item
+        HHashSet *lhss = h_hashtable_get(eg->corr, item->lhs);
+        assert(lhss != NULL);
+        H_FOREACH_KEY(lhss, HCFChoice *lhs)
+          assert(lhs->type == HCF_CHOICE);  // XXX could be CHARSET?
+
+          for(HCFSequence **p=lhs->seq; *p; p++) {
+            HCFChoice **rhs = (*p)->items;
+            if(!match_production(eg, rhs, item->rhs, state))
+              continue;
+
+            // the left-hand symbol's follow set is this production's
+            // contribution to the lookahead
+            const HStringMap *fs = h_follow(1, eg->grammar, lhs);
+            assert(fs != NULL);
+            assert(fs->epsilon_branch == NULL);
+            assert(!h_stringmap_empty(fs));
+
+            // for each lookahead symbol, put action into table cell
+            if(terminals_put(table->tmap[state], fs, action) < 0)
+              inadeq = true;
+        } H_END_FOREACH // enhanced production
+      H_END_FOREACH  // reducible item
+
+      if(inadeq)
+        h_slist_push(table->inadeq, (void *)(uintptr_t)state);
+    }
+  }
+
+  h_cfgrammar_free(g);
+  parser->backend_data = table;
+  return has_conflicts(table)? -1 : 0;
+}
+
+void h_lalr_free(HParser *parser)
+{
+  HLRTable *table = parser->backend_data;
+  h_lrtable_free(table);
+  parser->backend_data = NULL;
+  parser->backend = PB_PACKRAT;
+}
+
+
+
+HParserBackendVTable h__lalr_backend_vtable = {
+  .compile = h_lalr_compile,
+  .parse = h_lr_parse,
+  .free = h_lalr_free
+};
+
+
+
+
+// dummy!
+int test_lalr(void)
+{
+  HAllocator *mm__ = &system_allocator;
+
+  /* 
+     E -> E '-' T
+        | T
+     T -> '(' E ')'
+        | 'n'               -- also try [0-9] for the charset paths
+  */
+
+  HParser *n = h_ch('n');
+  HParser *E = h_indirect();
+  HParser *T = h_choice(h_sequence(h_ch('('), E, h_ch(')'), NULL), n, NULL);
+  HParser *E_ = h_choice(h_sequence(E, h_ch('-'), T, NULL), T, NULL);
+  h_bind_indirect(E, E_);
+  HParser *p = E;
+
+  printf("\n==== G R A M M A R ====\n");
+  HCFGrammar *g = h_cfgrammar_(mm__, h_desugar_augmented(mm__, p));
+  if(g == NULL) {
+    fprintf(stderr, "h_cfgrammar failed\n");
+    return 1;
+  }
+  h_pprint_grammar(stdout, g, 0);
+
+  printf("\n==== D F A ====\n");
+  HLRDFA *dfa = h_lr0_dfa(g);
+  if(dfa)
+    h_pprint_lrdfa(stdout, g, dfa, 0);
+  else
+    fprintf(stderr, "h_lalr_dfa failed\n");
+
+  printf("\n==== L R ( 0 )  T A B L E ====\n");
+  HLRTable *table0 = h_lr0_table(g, dfa);
+  if(table0)
+    h_pprint_lrtable(stdout, g, table0, 0);
+  else
+    fprintf(stderr, "h_lr0_table failed\n");
+  h_lrtable_free(table0);
+
+  printf("\n==== L A L R  T A B L E ====\n");
+  if(h_compile(p, PB_LALR, NULL)) {
+    fprintf(stderr, "does not compile\n");
+    return 2;
+  }
+  h_pprint_lrtable(stdout, g, (HLRTable *)p->backend_data, 0);
+
+  printf("\n==== P A R S E  R E S U L T ====\n");
+  HParseResult *res = h_parse(p, (uint8_t *)"n-(n-((n)))-n", 13);
+  if(res)
+    h_pprint(stdout, res->ast, 0, 2);
+  else
+    printf("no parse\n");
+
+  return 0;
+}
diff --git a/src/backends/llk.c b/src/backends/llk.c
index 50e11bfa059591c03403e75242fffa3b7649b029..c0cf6afef75aae37c9b9479cdc44223244326ab7 100644
--- a/src/backends/llk.c
+++ b/src/backends/llk.c
@@ -3,13 +3,13 @@
 #include "../cfgrammar.h"
 #include "../parsers/parser_internal.h"
 
-// XXX despite the names, this is all LL(1) right now. TODO
+static const size_t DEFAULT_KMAX = 1;
 
 
 /* Generating the LL(k) parse table */
 
-/* Maps each nonterminal (HCFChoice) of the grammar to another hash table that
- * maps lookahead tokens (HCFToken) to productions (HCFSequence).
+/* Maps each nonterminal (HCFChoice) of the grammar to a HStringMap that
+ * maps lookahead strings to productions (HCFSequence).
  */
 typedef struct HLLkTable_ {
   HHashTable *rows;
@@ -19,29 +19,17 @@ typedef struct HLLkTable_ {
 } HLLkTable;
 
 
-// XXX adaptation to LL(1), to be removed
-typedef HCharKey HCFToken;
-static const HCFToken end_token = 0x200;
-#define char_token char_key
-
 /* Interface to look up an entry in the parse table. */
 const HCFSequence *h_llk_lookup(const HLLkTable *table, const HCFChoice *x,
-                                HInputStream lookahead)
+                                const HInputStream *stream)
 {
-  // note the lookahead stream is passed by value, i.e. a copy.
-  // reading bits from it does not consume them from the real input.
-  HCFToken tok;
-  uint8_t c = h_read_bits(&lookahead, 8, false);
-  if(lookahead.overrun)
-    tok = end_token;
-  else
-    tok = char_token(c);
-
-  const HHashTable *row = h_hashtable_get(table->rows, x);
+  const HStringMap *row = h_hashtable_get(table->rows, x);
   assert(row != NULL);  // the table should have one row for each nonterminal
 
-  const HCFSequence *production = h_hashtable_get(row, (void *)tok);
-  return production;
+  assert(!row->epsilon_branch); // would match without looking at the input
+                                // XXX cases where this could be useful?
+
+  return h_stringmap_get_lookahead(row, *stream);
 }
 
 /* Allocate a new parse table. */
@@ -72,58 +60,131 @@ void h_llktable_free(HLLkTable *table)
   h_free(table);
 }
 
-/* Compute the predict set of production "A -> rhs". */
-HHashSet *h_predict(HCFGrammar *g, const HCFChoice *A, const HCFSequence *rhs)
+void *const CONFLICT = (void *)(uintptr_t)(-1);
+
+// helper for stringmap_merge
+static void *combine_entries(HHashSet *workset, void *dst, const void *src)
 {
-  // predict(A -> rhs) = first(rhs) u follow(A)  if "" can be derived from rhs
-  // predict(A -> rhs) = first(rhs)              otherwise
-  const HCFStringMap *first_rhs = h_first_seq(1, g, rhs->items);
-  const HCFStringMap *follow_A = h_follow(1, g, A);
-  HHashSet *ret = h_hashset_new(g->arena, h_eq_ptr, h_hash_ptr);
-
-  h_hashset_put_all(ret, first_rhs->char_branches);
-  if(first_rhs->end_branch)
-    h_hashset_put(ret, (void *)end_token);
-
-  if(h_derives_epsilon_seq(g, rhs->items)) {
-    h_hashset_put_all(ret, follow_A->char_branches);
-    if(follow_A->end_branch)
-      h_hashset_put(ret, (void *)end_token);
+  assert(dst != NULL);
+  assert(src != NULL);
+
+  if(dst == CONFLICT) {                 // previous conflict
+    h_hashset_put(workset, src);
+  } else if(dst != src) {               // new conflict
+    h_hashset_put(workset, dst);
+    h_hashset_put(workset, src);
+    dst = CONFLICT;
   }
 
-  return ret;
+  return dst;
 }
 
-/* Generate entries for the production "A -> rhs" in the given table row. */
-static
-int fill_table_row(HCFGrammar *g, HHashTable *row,
-                   const HCFChoice *A, HCFSequence *rhs)
+// add the mappings of src to dst, marking conflicts and adding the conflicting
+// values to workset.
+// note: reuses parts of src to build dst!
+static void stringmap_merge(HHashSet *workset, HStringMap *dst, HStringMap *src)
 {
-  // iterate over predict(A -> rhs)
-  HHashSet *pred = h_predict(g, A, rhs);
+  if(src->epsilon_branch) {
+    if(dst->epsilon_branch)
+      dst->epsilon_branch =
+	combine_entries(workset, dst->epsilon_branch, src->epsilon_branch);
+    else
+      dst->epsilon_branch = src->epsilon_branch;
+  } else {
+    // if there is a non-conflicting value on the left (dst) side, it means
+    // that prediction is already unambiguous. we can drop the right (src)
+    // side we were going to extend with.
+    if(dst->epsilon_branch && dst->epsilon_branch != CONFLICT)
+      return;
+  }
 
-  size_t i;
-  HHashTableEntry *hte;
-  for(i=0; i < pred->capacity; i++) {
-    for(hte = &pred->contents[i]; hte; hte = hte->next) {
+  if(src->end_branch) {
+    if(dst->end_branch)
+      dst->end_branch =
+	combine_entries(workset, dst->end_branch, src->end_branch);
+    else
+      dst->end_branch = src->end_branch;
+  }
+
+  // iterate over src->char_branches
+  const HHashTable *ht = src->char_branches;
+  for(size_t i=0; i < ht->capacity; i++) {
+    for(HHashTableEntry *hte = &ht->contents[i]; hte; hte = hte->next) {
       if(hte->key == NULL)
         continue;
-      HCFToken x = (uintptr_t)hte->key;
 
-      if(h_hashtable_present(row, (void *)x))
-        return -1;  // table would be ambiguous
+      HCharKey c = (HCharKey)hte->key;
+      HStringMap *src_ = hte->value;
 
-      h_hashtable_put(row, (void *)x, rhs);
+      if(src_) {
+        HStringMap *dst_ = h_hashtable_get(dst->char_branches, (void *)c);
+        if(dst_)
+          stringmap_merge(workset, dst_, src_);
+        else
+          h_hashtable_put(dst->char_branches, (void *)c, src_);
+      }
     }
   }
+}
 
-  return 0;
+/* Generate entries for the productions of A in the given table row. */
+static int fill_table_row(size_t kmax, HCFGrammar *g, HStringMap *row,
+                          const HCFChoice *A)
+{
+  HHashSet *workset;
+
+  // initialize working set to the productions of A
+  workset = h_hashset_new(g->arena, h_eq_ptr, h_hash_ptr);
+  for(HCFSequence **s = A->seq; *s; s++)
+    h_hashset_put(workset, *s);
+
+  // run until workset exhausted or kmax hit
+  size_t k;
+  for(k=1; k<=kmax; k++) {
+    // allocate a fresh workset for the next round
+    HHashSet *nextset = h_hashset_new(g->arena, h_eq_ptr, h_hash_ptr);
+
+    // iterate over the productions in workset...
+    const HHashTable *ht = workset;
+    for(size_t i=0; i < ht->capacity; i++) {
+      for(HHashTableEntry *hte = &ht->contents[i]; hte; hte = hte->next) {
+        if(hte->key == NULL)
+          continue;
+
+        HCFSequence *rhs = (void *)hte->key;
+        assert(rhs != NULL);
+        assert(rhs != CONFLICT);  // just to be sure there's no mixup
+
+        // calculate predict set; let values map to rhs
+        HStringMap *pred = h_predict(k, g, A, rhs);
+        h_stringmap_replace(pred, NULL, rhs);
+
+        // merge predict set into the row
+        // accumulates conflicts in new workset
+        stringmap_merge(nextset, row, pred);
+      }
+    }
+
+    // switch to the updated workset
+    h_hashset_free(workset);
+    workset = nextset;
+
+    // if the workset is empty, row is without conflict; we're done
+    if(h_hashset_empty(workset))
+      break;
+
+    // clear conflict markers for next iteration
+    h_stringmap_replace(row, CONFLICT, NULL);
+  }
+
+  h_hashset_free(workset);
+  return (k>kmax)? -1 : 0;
 }
 
 /* Generate the LL(k) parse table from the given grammar.
  * Returns -1 on error, 0 on success.
  */
-static int fill_table(HCFGrammar *g, HLLkTable *table)
+static int fill_table(size_t kmax, HCFGrammar *g, HLLkTable *table)
 {
   table->start = g->start;
 
@@ -138,18 +199,14 @@ static int fill_table(HCFGrammar *g, HLLkTable *table)
       assert(a->type == HCF_CHOICE);
 
       // create table row for this nonterminal
-      HHashTable *row = h_hashtable_new(table->arena, h_eq_ptr, h_hash_ptr);
+      HStringMap *row = h_stringmap_new(table->arena);
       h_hashtable_put(table->rows, a, row);
 
-      // iterate over a's productions
-      HCFSequence **s;
-      for(s = a->seq; *s; s++) {
-        // record this production in row as appropriate
-        // this can signal an ambiguity conflict.
+      if(fill_table_row(kmax, g, row, a) < 0) {
+        // unresolvable conflicts in row
         // NB we don't worry about deallocating anything, h_llk_compile will
         //    delete the whole arena for us.
-        if(fill_table_row(g, row, a, *s) < 0)
-          return -1;
+        return -1;
       }
     }
   }
@@ -159,6 +216,9 @@ static int fill_table(HCFGrammar *g, HLLkTable *table)
 
 int h_llk_compile(HAllocator* mm__, HParser* parser, const void* params)
 {
+  size_t kmax = params? (uintptr_t)params : DEFAULT_KMAX;
+  assert(kmax>0);
+
   // Convert parser to a CFG. This can fail as indicated by a NULL return.
   HCFGrammar *grammar = h_cfgrammar(mm__, parser);
   if(grammar == NULL)
@@ -170,7 +230,7 @@ int h_llk_compile(HAllocator* mm__, HParser* parser, const void* params)
 
   // generate table and store in parser->backend_data.
   HLLkTable *table = h_llktable_new(mm__);
-  if(fill_table(grammar, table) < 0) {
+  if(fill_table(kmax, grammar, table) < 0) {
     // the table was ambiguous
     h_cfgrammar_free(grammar);
     h_llktable_free(table);
@@ -240,10 +300,13 @@ HParseResult *h_llk_parse(HAllocator* mm__, const HParser* parser, HInputStream*
       seq = h_carray_new(arena);
 
       // look up applicable production in parse table
-      const HCFSequence *p = h_llk_lookup(table, x, *stream);
+      const HCFSequence *p = h_llk_lookup(table, x, stream);
       if(p == NULL)
         goto no_parse;
 
+      // an infinite loop case that shouldn't happen
+      assert(!p->items[0] || p->items[0] != x);
+
       // push production's rhs onto the stack (in reverse order)
       HCFChoice **s;
       for(s = p->items; *s; s++);
@@ -255,10 +318,12 @@ HParseResult *h_llk_parse(HAllocator* mm__, const HParser* parser, HInputStream*
 
     // the top of stack is such that there will be a result...
     HParsedToken *tok;  // will hold result token
+    tok = h_arena_malloc(arena, sizeof(HParsedToken));
+    tok->index = stream->index;
+    tok->bit_offset = stream->bit_offset;
     if(x == mark) {
       // hit stack frame boundary...
       // wrap the accumulated parse result, this sequence is finished
-      tok = h_arena_malloc(arena, sizeof(HParsedToken));
       tok->token_type = TT_SEQUENCE;
       tok->seq = seq;
 
@@ -277,13 +342,13 @@ HParseResult *h_llk_parse(HAllocator* mm__, const HParser* parser, HInputStream*
       case HCF_END:
         if(!stream->overrun)
           goto no_parse;
+        h_arena_free(arena, tok);
         tok = NULL;
         break;
 
       case HCF_CHAR:
         if(input != x->chr)
           goto no_parse;
-        tok = h_arena_malloc(arena, sizeof(HParsedToken));
         tok->token_type = TT_UINT;
         tok->uint = x->chr;
         break;
@@ -293,7 +358,6 @@ HParseResult *h_llk_parse(HAllocator* mm__, const HParser* parser, HInputStream*
           goto no_parse;
         if(!charset_isset(x->charset, input))
           goto no_parse;
-        tok = h_arena_malloc(arena, sizeof(HParsedToken));
         tok->token_type = TT_UINT;
         tok->uint = input;
         break;
@@ -306,8 +370,6 @@ HParseResult *h_llk_parse(HAllocator* mm__, const HParser* parser, HInputStream*
 
     // 'tok' has been parsed; process it
 
-    // XXX set tok->index and tok->bit_offset (don't take directly from stream, cuz peek!)
-
     // perform token reshape if indicated
     if(x->reshape)
       tok = (HParsedToken *)x->reshape(make_result(arena, tok));
@@ -328,10 +390,10 @@ HParseResult *h_llk_parse(HAllocator* mm__, const HParser* parser, HInputStream*
   h_delete_arena(tarena);
   return make_result(arena, seq->elements[0]);
 
-  no_parse:
-    h_delete_arena(tarena);
-    h_delete_arena(arena);
-    return NULL;
+ no_parse:
+  h_delete_arena(tarena);
+  h_delete_arena(arena);
+  return NULL;
 }
 
 
@@ -357,9 +419,11 @@ int test_llk(void)
      Y -> y         -- for k=3 use "yy"
   */
 
-  HParser *c = h_many(h_ch('x'));
-  HParser *q = h_sequence(c, h_ch('y'), NULL);
-  HParser *p = h_choice(q, h_end_p(), NULL);
+  HParser *X = h_optional(h_ch('x'));
+  HParser *Y = h_sequence(h_ch('y'), h_ch('y'), NULL);
+  HParser *A = h_sequence(X, Y, h_ch('a'), NULL);
+  HParser *B = h_sequence(Y, h_ch('b'), NULL);
+  HParser *p = h_choice(A, B, NULL);
 
   HCFGrammar *g = h_cfgrammar(&system_allocator, p);
 
@@ -372,13 +436,16 @@ int test_llk(void)
   printf("derive epsilon: ");
   h_pprint_symbolset(stdout, g, g->geneps, 0);
   printf("first(A) = ");
-  h_pprint_stringset(stdout, g, h_first(2, g, g->start), 0);
-  printf("follow(C) = ");
-  h_pprint_stringset(stdout, g, h_follow(2, g, h_desugar(&system_allocator, NULL, c)), 0);
+  h_pprint_stringset(stdout, h_first(3, g, g->start), 0);
+  //  printf("follow(C) = ");
+  //  h_pprint_stringset(stdout, h_follow(3, g, h_desugar(&system_allocator, NULL, c)), 0);
 
-  h_compile(p, PB_LLk, NULL);
+  if(h_compile(p, PB_LLk, (void *)3)) {
+    fprintf(stderr, "does not compile\n");
+    return 2;
+  }
 
-  HParseResult *res = h_parse(p, (uint8_t *)"xxy", 3);
+  HParseResult *res = h_parse(p, (uint8_t *)"xyya", 4);
   if(res)
     h_pprint(stdout, res->ast, 0, 2);
   else
diff --git a/src/backends/lr.c b/src/backends/lr.c
new file mode 100644
index 0000000000000000000000000000000000000000..4c89d19d70030a1475c1a1e3cccc92ed58bdef58
--- /dev/null
+++ b/src/backends/lr.c
@@ -0,0 +1,538 @@
+#include <assert.h>
+#include <ctype.h>
+#include "../parsers/parser_internal.h"
+#include "lr.h"
+
+
+
+/* Comparison and hashing functions */
+
+// compare symbols - terminals by value, others by pointer
+bool h_eq_symbol(const void *p, const void *q)
+{
+  const HCFChoice *x=p, *y=q;
+  return (x==y
+          || (x->type==HCF_END && y->type==HCF_END)
+          || (x->type==HCF_CHAR && y->type==HCF_CHAR && x->chr==y->chr));
+}
+
+// hash symbols - terminals by value, others by pointer
+HHashValue h_hash_symbol(const void *p)
+{
+  const HCFChoice *x=p;
+  if(x->type == HCF_END)
+    return 0;
+  else if(x->type == HCF_CHAR)
+    return x->chr * 33;
+  else
+    return h_hash_ptr(p);
+}
+
+// compare LR items by value
+static bool eq_lr_item(const void *p, const void *q)
+{
+  const HLRItem *a=p, *b=q;
+
+  if(!h_eq_symbol(a->lhs, b->lhs)) return false;
+  if(a->mark != b->mark) return false;
+  if(a->len != b->len) return false;
+
+  for(size_t i=0; i<a->len; i++)
+    if(!h_eq_symbol(a->rhs[i], b->rhs[i])) return false;
+
+  return true;
+}
+
+// hash LALR items
+static inline HHashValue hash_lr_item(const void *p)
+{
+  const HLRItem *x = p;
+  HHashValue hash = 0;
+
+  hash += h_hash_symbol(x->lhs);
+  for(HCFChoice **p=x->rhs; *p; p++)
+    hash += h_hash_symbol(*p);
+  hash += x->mark;
+
+  return hash;
+}
+
+// compare item sets (DFA states)
+bool h_eq_lr_itemset(const void *p, const void *q)
+{
+  return h_hashset_equal(p, q);
+}
+
+// hash LR item sets (DFA states) - hash the elements and sum
+HHashValue h_hash_lr_itemset(const void *p)
+{
+  HHashValue hash = 0;
+
+  H_FOREACH_KEY((const HHashSet *)p, HLRItem *item)
+    hash += hash_lr_item(item);
+  H_END_FOREACH
+
+  return hash;
+}
+
+bool h_eq_transition(const void *p, const void *q)
+{
+  const HLRTransition *a=p, *b=q;
+  return (a->from == b->from && a->to == b->to && h_eq_symbol(a->symbol, b->symbol));
+}
+
+HHashValue h_hash_transition(const void *p)
+{
+  const HLRTransition *t = p;
+  return (h_hash_symbol(t->symbol) + t->from + t->to); // XXX ?
+}
+
+
+
+/* Constructors */
+
+HLRItem *h_lritem_new(HArena *a, HCFChoice *lhs, HCFChoice **rhs, size_t mark)
+{
+  HLRItem *ret = h_arena_malloc(a, sizeof(HLRItem));
+
+  size_t len = 0;
+  for(HCFChoice **p=rhs; *p; p++) len++;
+  assert(mark <= len);
+
+  ret->lhs = lhs;
+  ret->rhs = rhs;
+  ret->len = len;
+  ret->mark = mark;
+
+  return ret;
+}
+
+HLRState *h_lrstate_new(HArena *arena)
+{
+  return h_hashset_new(arena, eq_lr_item, hash_lr_item);
+}
+
+HLRTable *h_lrtable_new(HAllocator *mm__, size_t nrows)
+{
+  HArena *arena = h_new_arena(mm__, 0);    // default blocksize
+  assert(arena != NULL);
+
+  HLRTable *ret = h_new(HLRTable, 1);
+  ret->nrows = nrows;
+  ret->ntmap = h_arena_malloc(arena, nrows * sizeof(HHashTable *));
+  ret->tmap = h_arena_malloc(arena, nrows * sizeof(HStringMap *));
+  ret->forall = h_arena_malloc(arena, nrows * sizeof(HLRAction *));
+  ret->inadeq = h_slist_new(arena);
+  ret->arena = arena;
+  ret->mm__ = mm__;
+
+  for(size_t i=0; i<nrows; i++) {
+    ret->ntmap[i] = h_hashtable_new(arena, h_eq_symbol, h_hash_symbol);
+    ret->tmap[i] = h_stringmap_new(arena);
+    ret->forall[i] = NULL;
+  }
+
+  return ret;
+}
+
+void h_lrtable_free(HLRTable *table)
+{
+  HAllocator *mm__ = table->mm__;
+  h_delete_arena(table->arena);
+  h_free(table);
+}
+
+HLRAction *h_shift_action(HArena *arena, size_t nextstate)
+{
+  HLRAction *action = h_arena_malloc(arena, sizeof(HLRAction));
+  action->type = HLR_SHIFT;
+  action->nextstate = nextstate;
+  return action;
+}
+
+HLRAction *h_reduce_action(HArena *arena, const HLRItem *item)
+{
+  HLRAction *action = h_arena_malloc(arena, sizeof(HLRAction));
+  action->type = HLR_REDUCE;
+  action->production.lhs = item->lhs;
+  action->production.length = item->len;
+#ifndef NDEBUG
+  action->production.rhs = item->rhs;
+#endif
+  return action;
+}
+
+// adds 'new' to the branches of 'action'
+// returns a 'action' if it is already of type HLR_CONFLICT
+// allocates a new HLRAction otherwise
+HLRAction *h_lr_conflict(HArena *arena, HLRAction *action, HLRAction *new)
+{
+  if(action->type != HLR_CONFLICT) {
+    HLRAction *old = action;
+    action = h_arena_malloc(arena, sizeof(HLRAction));
+    action->type = HLR_CONFLICT;
+    action->branches = h_slist_new(arena);
+    h_slist_push(action->branches, old);
+    h_slist_push(action->branches, new);
+  } else {
+    // check if 'new' is already among branches
+    HSlistNode *x;
+    for(x=action->branches->head; x; x=x->next) {
+      if(x->elem == new)
+        break;
+    }
+    // add 'new' if it is not already in list
+    if(x == NULL)
+      h_slist_push(action->branches, new);
+  }
+
+  return action;
+}
+
+bool h_lrtable_row_empty(const HLRTable *table, size_t i)
+{
+  return (h_hashtable_empty(table->ntmap[i])
+          && h_stringmap_empty(table->tmap[i]));
+}
+
+
+
+/* LR driver */
+
+HLREngine *h_lrengine_new(HArena *arena, HArena *tarena, const HLRTable *table,
+                          const HInputStream *stream)
+{
+  HLREngine *engine = h_arena_malloc(tarena, sizeof(HLREngine));
+
+  engine->table = table;
+  engine->state = 0;
+  engine->stack = h_slist_new(tarena);
+  engine->input = *stream;
+  engine->merged[0] = NULL;
+  engine->merged[1] = NULL;
+  engine->arena = arena;
+  engine->tarena = tarena;
+
+  return engine;
+}
+
+static const HLRAction *
+terminal_lookup(const HLREngine *engine, const HInputStream *stream)
+{
+  const HLRTable *table = engine->table;
+  size_t state = engine->state;
+
+  assert(state < table->nrows);
+  if(table->forall[state]) {
+    assert(h_lrtable_row_empty(table, state));  // that would be a conflict
+    return table->forall[state];
+  } else {
+    return h_stringmap_get_lookahead(table->tmap[state], *stream);
+  }
+}
+
+static const HLRAction *
+nonterminal_lookup(const HLREngine *engine, const HCFChoice *symbol)
+{
+  const HLRTable *table = engine->table;
+  size_t state = engine->state;
+
+  assert(state < table->nrows);
+  assert(!table->forall[state]);    // contains only reduce entries
+                                    // we are only looking for shifts
+  return h_hashtable_get(table->ntmap[state], symbol);
+}
+
+const HLRAction *h_lrengine_action(const HLREngine *engine)
+{
+  return terminal_lookup(engine, &engine->input);
+}
+
+static HParsedToken *consume_input(HLREngine *engine)
+{
+  HParsedToken *v;
+
+  uint8_t c = h_read_bits(&engine->input, 8, false);
+
+  if(engine->input.overrun) {     // end of input
+    v = NULL;
+  } else {
+    v = h_arena_malloc(engine->arena, sizeof(HParsedToken));
+    v->token_type = TT_UINT;
+    v->uint = c;
+  }
+
+  return v;
+}
+
+// run LR parser for one round; returns false when finished
+bool h_lrengine_step(HLREngine *engine, const HLRAction *action)
+{
+  // short-hand names
+  HSlist *stack = engine->stack;
+  HArena *arena = engine->arena;
+  HArena *tarena = engine->tarena;
+
+  if(action == NULL)
+    return false;   // no handle recognizable in input, terminate
+
+  assert(action->type == HLR_SHIFT || action->type == HLR_REDUCE);
+
+  if(action->type == HLR_REDUCE) {
+    size_t len = action->production.length;
+    HCFChoice *symbol = action->production.lhs;
+
+    // semantic value of the reduction result
+    HParsedToken *value = h_arena_malloc(arena, sizeof(HParsedToken));
+    value->token_type = TT_SEQUENCE;
+    value->seq = h_carray_new_sized(arena, len);
+    
+    // pull values off the stack, rewinding state accordingly
+    HParsedToken *v = NULL;
+    for(size_t i=0; i<len; i++) {
+      v = h_slist_drop(stack);
+      engine->state = (uintptr_t)h_slist_drop(stack);
+
+      // collect values in result sequence
+      value->seq->elements[len-1-i] = v;
+      value->seq->used++;
+    }
+    if(v) {
+      // result position equals position of left-most symbol
+      value->index = v->index;
+      value->bit_offset = v->bit_offset;
+    } else {
+      // XXX how to get the position in this case?
+    }
+
+    // perform token reshape if indicated
+    if(symbol->reshape)
+      value = (HParsedToken *)symbol->reshape(make_result(arena, value));
+
+    // call validation and semantic action, if present
+    if(symbol->pred && !symbol->pred(make_result(tarena, value)))
+      return false;     // validation failed -> no parse; terminate
+    if(symbol->action)
+      value = (HParsedToken *)symbol->action(make_result(arena, value));
+
+    // this is LR, building a right-most derivation bottom-up, so no reduce can
+    // follow a reduce. we can also assume no conflict follows for GLR if we
+    // use LALR tables, because only terminal symbols (lookahead) get reduces.
+    const HLRAction *shift = nonterminal_lookup(engine, symbol);
+    if(shift == NULL)
+      return false;     // parse error
+    assert(shift->type == HLR_SHIFT);
+
+    // piggy-back the shift right here, never touching the input
+    h_slist_push(stack, (void *)(uintptr_t)engine->state);
+    h_slist_push(stack, value);
+    engine->state = shift->nextstate;
+
+    // check for success
+    if(engine->state == HLR_SUCCESS) {
+      assert(symbol == engine->table->start);
+      return false;
+    }
+  } else {
+    assert(action->type == HLR_SHIFT);
+    HParsedToken *value = consume_input(engine);
+    h_slist_push(stack, (void *)(uintptr_t)engine->state);
+    h_slist_push(stack, value);
+    engine->state = action->nextstate;
+  }
+
+  return true;
+}
+
+HParseResult *h_lrengine_result(HLREngine *engine)
+{
+  // parsing was successful iff the engine reaches the end state
+  if(engine->state == HLR_SUCCESS) {
+    // on top of the stack is the start symbol's semantic value
+    assert(!h_slist_empty(engine->stack));
+    HParsedToken *tok = engine->stack->head->elem;
+    return make_result(engine->arena, tok);
+  } else {
+    return NULL;
+  }
+}
+
+HParseResult *h_lr_parse(HAllocator* mm__, const HParser* parser, HInputStream* stream)
+{
+  HLRTable *table = parser->backend_data;
+  if(!table)
+    return NULL;
+
+  HArena *arena  = h_new_arena(mm__, 0);    // will hold the results
+  HArena *tarena = h_new_arena(mm__, 0);    // tmp, deleted after parse
+  HLREngine *engine = h_lrengine_new(arena, tarena, table, stream);
+
+  // iterate engine to completion
+  while(h_lrengine_step(engine, h_lrengine_action(engine)));
+
+  HParseResult *result = h_lrengine_result(engine);
+  if(!result)
+    h_delete_arena(arena);
+  h_delete_arena(tarena);
+  return result;
+}
+
+
+
+/* Pretty-printers */
+
+void h_pprint_lritem(FILE *f, const HCFGrammar *g, const HLRItem *item)
+{
+  h_pprint_symbol(f, g, item->lhs);
+  fputs(" ->", f);
+
+  HCFChoice **x = item->rhs;
+  HCFChoice **mark = item->rhs + item->mark;
+  if(*x == NULL) {
+    fputc('.', f);
+  } else {
+    while(*x) {
+      if(x == mark)
+        fputc('.', f);
+      else
+        fputc(' ', f);
+
+      if((*x)->type == HCF_CHAR) {
+        // condense character strings
+        fputc('"', f);
+        h_pprint_char(f, (*x)->chr);
+        for(x++; *x; x++) {
+          if(x == mark)
+            break;
+          if((*x)->type != HCF_CHAR)
+            break;
+          h_pprint_char(f, (*x)->chr);
+        }
+        fputc('"', f);
+      } else {
+        h_pprint_symbol(f, g, *x);
+        x++;
+      }
+    }
+    if(x == mark)
+      fputs(".", f);
+  }
+}
+
+void h_pprint_lrstate(FILE *f, const HCFGrammar *g,
+                      const HLRState *state, unsigned int indent)
+{
+  bool first = true;
+  H_FOREACH_KEY(state, HLRItem *item)
+    if(!first)
+      for(unsigned int i=0; i<indent; i++) fputc(' ', f);
+    first = false;
+    h_pprint_lritem(f, g, item);
+    fputc('\n', f);
+  H_END_FOREACH
+}
+
+static void pprint_transition(FILE *f, const HCFGrammar *g, const HLRTransition *t)
+{
+  fputs("-", f);
+  h_pprint_symbol(f, g, t->symbol);
+  fprintf(f, "->%lu", t->to);
+}
+
+void h_pprint_lrdfa(FILE *f, const HCFGrammar *g,
+                    const HLRDFA *dfa, unsigned int indent)
+{
+  for(size_t i=0; i<dfa->nstates; i++) {
+    unsigned int indent2 = indent + fprintf(f, "%4lu: ", i);
+    h_pprint_lrstate(f, g, dfa->states[i], indent2);
+    for(HSlistNode *x = dfa->transitions->head; x; x = x->next) {
+      const HLRTransition *t = x->elem;
+      if(t->from == i) {
+        for(unsigned int i=0; i<indent2-2; i++) fputc(' ', f);
+        pprint_transition(f, g, t);
+        fputc('\n', f);
+      }
+    }
+  }
+}
+
+void pprint_lraction(FILE *f, const HCFGrammar *g, const HLRAction *action)
+{
+  switch(action->type) {
+  case HLR_SHIFT:
+    if(action->nextstate == HLR_SUCCESS)
+      fputs("s~", f);
+    else
+      fprintf(f, "s%lu", action->nextstate);
+    break;
+  case HLR_REDUCE:
+    fputs("r(", f);
+    h_pprint_symbol(f, g, action->production.lhs);
+    fputs(" -> ", f);
+#ifdef NDEBUG
+    // if we can't print the production, at least print its length
+    fprintf(f, "[%lu]", action->production.length);
+#else
+    HCFSequence seq = {action->production.rhs};
+    h_pprint_sequence(f, g, &seq);
+#endif
+    fputc(')', f);
+    break;
+  case HLR_CONFLICT:
+    fputc('!', f);
+    for(HSlistNode *x=action->branches->head; x; x=x->next) {
+      HLRAction *branch = x->elem;
+      assert(branch->type != HLR_CONFLICT); // no nesting
+      pprint_lraction(f, g, branch);
+      if(x->next) fputc('/', f);            // separator
+    }
+    break;
+  default:
+    assert_message(0, "not reached");
+  }
+}
+
+static void valprint_lraction(FILE *file, void *env, void *val)
+{
+  const HLRAction *action = val;
+  const HCFGrammar *grammar = env;
+  pprint_lraction(file, grammar, action);
+}
+
+static void pprint_lrtable_terminals(FILE *file, const HCFGrammar *g,
+                                     const HStringMap *map)
+{
+  h_pprint_stringmap(file, ' ', valprint_lraction, (void *)g, map);
+}
+
+void h_pprint_lrtable(FILE *f, const HCFGrammar *g, const HLRTable *table,
+                      unsigned int indent)
+{
+  for(size_t i=0; i<table->nrows; i++) {
+    for(unsigned int j=0; j<indent; j++) fputc(' ', f);
+    fprintf(f, "%4lu:", i);
+    if(table->forall[i]) {
+      fputc(' ', f);
+      pprint_lraction(f, g, table->forall[i]);
+      if(!h_lrtable_row_empty(table, i))
+        fputs(" !!", f);
+    }
+    H_FOREACH(table->ntmap[i], HCFChoice *symbol, HLRAction *action)
+      fputc(' ', f);    // separator
+      h_pprint_symbol(f, g, symbol);
+      fputc(':', f);
+      pprint_lraction(f, g, action);
+    H_END_FOREACH
+    fputc(' ', f);    // separator
+    pprint_lrtable_terminals(f, g, table->tmap[i]);
+    fputc('\n', f);
+  }
+
+#if 0
+  fputs("inadeq=", f);
+  for(HSlistNode *x=table->inadeq->head; x; x=x->next) {
+    fprintf(f, "%lu ", (uintptr_t)x->elem);
+  }
+  fputc('\n', f);
+#endif
+}
diff --git a/src/backends/lr.h b/src/backends/lr.h
new file mode 100644
index 0000000000000000000000000000000000000000..8f1eadd9059330b23c77e58aedfd680690b07950
--- /dev/null
+++ b/src/backends/lr.h
@@ -0,0 +1,147 @@
+#ifndef HAMMER_BACKENDS_LR__H
+#define HAMMER_BACKENDS_LR__H
+
+#include "../hammer.h"
+#include "../cfgrammar.h"
+#include "../internal.h"
+
+
+typedef HHashSet HLRState;  // states are sets of LRItems
+
+typedef struct HLRDFA_ {
+  size_t nstates;
+  const HLRState **states;  // array of size nstates
+  HSlist *transitions;
+} HLRDFA;
+
+typedef struct HLRTransition_ {
+  size_t from;              // index into 'states' array
+  const HCFChoice *symbol;
+  size_t to;                // index into 'states' array
+} HLRTransition;
+
+typedef struct HLRItem_ {
+  HCFChoice *lhs;
+  HCFChoice **rhs;          // NULL-terminated
+  size_t len;               // number of elements in rhs
+  size_t mark;
+} HLRItem;
+
+typedef struct HLRAction_ {
+  enum {HLR_SHIFT, HLR_REDUCE, HLR_CONFLICT} type;
+  union {
+    // used with HLR_SHIFT
+    size_t nextstate;
+
+    // used with HLR_REDUCE
+    struct {
+      HCFChoice *lhs;   // symbol carrying semantic actions etc.
+      size_t length;    // # of symbols in rhs
+#ifndef NDEBUG
+      HCFChoice **rhs;  // NB: the rhs symbols are not needed for the parse
+#endif
+    } production;
+
+    // used with HLR_CONFLICT
+    HSlist *branches;   // list of possible HLRActions
+  };
+} HLRAction;
+
+typedef struct HLRTable_ {
+  size_t     nrows;     // dimension of the pointer arrays below
+  HHashTable **ntmap;   // map nonterminal symbols to HLRActions, per row
+  HStringMap **tmap;    // map lookahead strings to HLRActions, per row
+  HLRAction  **forall;  // shortcut to set an action for an entire row
+  HCFChoice  *start;    // start symbol
+  HSlist     *inadeq;   // indices of any inadequate states
+  HArena     *arena;
+  HAllocator *mm__;
+} HLRTable;
+
+typedef struct HLREnhGrammar_ {
+  HCFGrammar *grammar;  // enhanced grammar
+  HHashTable *tmap;     // maps transitions to enhanced-grammar symbols
+  HHashTable *smap;     // maps enhanced-grammar symbols to transitions
+  HHashTable *corr;     // maps symbols to sets of corresponding e. symbols
+  HArena *arena;
+} HLREnhGrammar;
+
+typedef struct HLREngine_ {
+  const HLRTable *table;
+  size_t state;
+
+  HSlist *stack;        // holds pairs: (saved state, semantic value)
+  HInputStream input;
+
+  struct HLREngine_ *merged[2]; // ancestors merged into this engine
+
+  HArena *arena;        // will hold the results
+  HArena *tarena;       // tmp, deleted after parse
+} HLREngine;
+
+#define HLR_SUCCESS ((size_t)~0)    // parser end state
+
+
+// XXX move to internal.h or something
+// XXX replace other hashtable iterations with this
+#define H_FOREACH_(HT) {                                                    \
+    const HHashTable *ht__ = HT;                                            \
+    for(size_t i__=0; i__ < ht__->capacity; i__++) {                        \
+      for(HHashTableEntry *hte__ = &ht__->contents[i__];                    \
+          hte__;                                                            \
+          hte__ = hte__->next) {                                            \
+        if(hte__->key == NULL) continue;
+
+#define H_FOREACH_KEY(HT, KEYVAR) H_FOREACH_(HT)                            \
+        const KEYVAR = hte__->key;
+
+#define H_FOREACH(HT, KEYVAR, VALVAR) H_FOREACH_KEY(HT, KEYVAR)             \
+        VALVAR = hte__->value;
+
+#define H_END_FOREACH                                                       \
+      }                                                                     \
+    }                                                                       \
+  }
+
+
+
+HLRItem *h_lritem_new(HArena *a, HCFChoice *lhs, HCFChoice **rhs, size_t mark);
+HLRState *h_lrstate_new(HArena *arena);
+HLRTable *h_lrtable_new(HAllocator *mm__, size_t nrows);
+void h_lrtable_free(HLRTable *table);
+HLREngine *h_lrengine_new(HArena *arena, HArena *tarena, const HLRTable *table,
+                          const HInputStream *stream);
+HLRAction *h_reduce_action(HArena *arena, const HLRItem *item);
+HLRAction *h_shift_action(HArena *arena, size_t nextstate);
+HLRAction *h_lr_conflict(HArena *arena, HLRAction *action, HLRAction *new);
+bool h_lrtable_row_empty(const HLRTable *table, size_t i);
+
+bool h_eq_symbol(const void *p, const void *q);
+bool h_eq_lr_itemset(const void *p, const void *q);
+bool h_eq_transition(const void *p, const void *q);
+HHashValue h_hash_symbol(const void *p);
+HHashValue h_hash_lr_itemset(const void *p);
+HHashValue h_hash_transition(const void *p);
+
+HLRDFA *h_lr0_dfa(HCFGrammar *g);
+HLRTable *h_lr0_table(HCFGrammar *g, const HLRDFA *dfa);
+
+HCFChoice *h_desugar_augmented(HAllocator *mm__, HParser *parser);
+int h_lalr_compile(HAllocator* mm__, HParser* parser, const void* params);
+void h_lalr_free(HParser *parser);
+
+const HLRAction *h_lrengine_action(const HLREngine *engine);
+bool h_lrengine_step(HLREngine *engine, const HLRAction *action);
+HParseResult *h_lrengine_result(HLREngine *engine);
+HParseResult *h_lr_parse(HAllocator* mm__, const HParser* parser, HInputStream* stream);
+HParseResult *h_glr_parse(HAllocator* mm__, const HParser* parser, HInputStream* stream);
+
+void h_pprint_lritem(FILE *f, const HCFGrammar *g, const HLRItem *item);
+void h_pprint_lrstate(FILE *f, const HCFGrammar *g,
+                      const HLRState *state, unsigned int indent);
+void h_pprint_lrdfa(FILE *f, const HCFGrammar *g,
+                    const HLRDFA *dfa, unsigned int indent);
+void h_pprint_lrtable(FILE *f, const HCFGrammar *g, const HLRTable *table,
+                      unsigned int indent);
+
+#endif
diff --git a/src/backends/lr0.c b/src/backends/lr0.c
new file mode 100644
index 0000000000000000000000000000000000000000..1c86484e61300ec40362a9abb47105424ddff2b9
--- /dev/null
+++ b/src/backends/lr0.c
@@ -0,0 +1,233 @@
+#include <assert.h>
+#include "lr.h"
+
+
+
+/* Constructing the characteristic automaton (handle recognizer) */
+
+static HLRItem *advance_mark(HArena *arena, const HLRItem *item)
+{
+  assert(item->rhs[item->mark] != NULL);
+  HLRItem *ret = h_arena_malloc(arena, sizeof(HLRItem));
+  *ret = *item;
+  ret->mark++;
+  return ret;
+}
+
+static void expand_to_closure(HCFGrammar *g, HHashSet *items)
+{
+  HAllocator *mm__ = g->mm__;
+  HArena *arena = g->arena;
+  HSlist *work = h_slist_new(arena);
+
+  // initialize work list with items
+  H_FOREACH_KEY(items, HLRItem *item)
+    h_slist_push(work, (void *)item);
+  H_END_FOREACH
+
+  while(!h_slist_empty(work)) {
+    const HLRItem *item = h_slist_pop(work);
+    HCFChoice *sym = item->rhs[item->mark]; // symbol after mark
+
+    // if there is a non-terminal after the mark, follow it
+    // NB: unlike LLk, we do consider HCF_CHARSET a non-terminal here
+    if(sym != NULL && (sym->type==HCF_CHOICE || sym->type==HCF_CHARSET)) {
+      // add items corresponding to the productions of sym
+      if(sym->type == HCF_CHOICE) {
+        for(HCFSequence **p=sym->seq; *p; p++) {
+          HLRItem *it = h_lritem_new(arena, sym, (*p)->items, 0);
+          if(!h_hashset_present(items, it)) {
+            h_hashset_put(items, it);
+            h_slist_push(work, it);
+          }
+        }
+      } else {  // HCF_CHARSET
+        for(unsigned int i=0; i<256; i++) {
+          if(charset_isset(sym->charset, i)) {
+            // XXX allocate these single-character symbols statically somewhere
+            HCFChoice **rhs = h_new(HCFChoice *, 2);
+            rhs[0] = h_new(HCFChoice, 1);
+            rhs[0]->type = HCF_CHAR;
+            rhs[0]->chr = i;
+            rhs[1] = NULL;
+            HLRItem *it = h_lritem_new(arena, sym, rhs, 0);
+            h_hashset_put(items, it);
+            // single-character item needs no further work
+          }
+        }
+        // if sym is a non-terminal, we need a reshape on it
+        // this seems as good a place as any to set it
+        sym->reshape = h_act_first;
+      }
+    }
+  }
+}
+
+HLRDFA *h_lr0_dfa(HCFGrammar *g)
+{
+  HArena *arena = g->arena;
+
+  HHashSet *states = h_hashset_new(arena, h_eq_lr_itemset, h_hash_lr_itemset);
+      // maps itemsets to assigned array indices
+  HSlist *transitions = h_slist_new(arena);
+
+  // list of states that need to be processed
+  // to save lookups, we push two elements per state, the itemset and its
+  // assigned index.
+  HSlist *work = h_slist_new(arena);
+
+  // make initial state (kernel)
+  HLRState *start = h_lrstate_new(arena);
+  assert(g->start->type == HCF_CHOICE);
+  for(HCFSequence **p=g->start->seq; *p; p++)
+    h_hashset_put(start, h_lritem_new(arena, g->start, (*p)->items, 0));
+  expand_to_closure(g, start);
+  h_hashtable_put(states, start, 0);
+  h_slist_push(work, start);
+  h_slist_push(work, 0);
+  
+  // while work to do (on some state)
+  //   determine edge symbols
+  //   for each edge symbol:
+  //     advance respective items -> destination state (kernel)
+  //     compute closure
+  //     if destination is a new state:
+  //       add it to state set
+  //       add transition to it
+  //       add it to the work list
+
+  while(!h_slist_empty(work)) {
+    size_t state_idx = (uintptr_t)h_slist_pop(work);
+    HLRState *state = h_slist_pop(work);
+
+    // maps edge symbols to neighbor states (item sets) of s
+    HHashTable *neighbors = h_hashtable_new(arena, h_eq_symbol, h_hash_symbol);
+
+    // iterate over state (closure) and generate neighboring sets
+    H_FOREACH_KEY(state, HLRItem *item)
+      HCFChoice *sym = item->rhs[item->mark]; // symbol after mark
+
+      if(sym != NULL) { // mark was not at the end
+        // find or create prospective neighbor set
+        HLRState *neighbor = h_hashtable_get(neighbors, sym);
+        if(neighbor == NULL) {
+          neighbor = h_lrstate_new(arena);
+          h_hashtable_put(neighbors, sym, neighbor);
+        }
+
+        // ...and add the advanced item to it
+        h_hashset_put(neighbor, advance_mark(arena, item));
+      }
+    H_END_FOREACH
+
+    // merge expanded neighbor sets into the set of existing states
+    H_FOREACH(neighbors, HCFChoice *symbol, HLRState *neighbor)
+      expand_to_closure(g, neighbor);
+
+      // look up existing state, allocate new if not found
+      size_t neighbor_idx;
+      if(!h_hashset_present(states, neighbor)) {
+        neighbor_idx = states->used;
+        h_hashtable_put(states, neighbor, (void *)(uintptr_t)neighbor_idx);
+        h_slist_push(work, neighbor);
+        h_slist_push(work, (void *)(uintptr_t)neighbor_idx);
+      } else {
+        neighbor_idx = (uintptr_t)h_hashtable_get(states, neighbor);
+      }
+
+      // add transition "state --symbol--> neighbor"
+      HLRTransition *t = h_arena_malloc(arena, sizeof(HLRTransition));
+      t->from = state_idx;
+      t->to = neighbor_idx;
+      t->symbol = symbol;
+      h_slist_push(transitions, t);
+    H_END_FOREACH
+  } // end while(work)
+
+  // fill DFA struct
+  HLRDFA *dfa = h_arena_malloc(arena, sizeof(HLRDFA));
+  dfa->nstates = states->used;
+  dfa->states = h_arena_malloc(arena, dfa->nstates*sizeof(HLRState *));
+  H_FOREACH(states, HLRState *state, void *v)
+    size_t idx = (uintptr_t)v;
+    dfa->states[idx] = state;
+  H_END_FOREACH
+  dfa->transitions = transitions;
+
+  return dfa;
+}
+
+
+
+/* LR(0) table generation */
+
+static inline
+void put_shift(HLRTable *table, size_t state, const HCFChoice *symbol,
+               size_t nextstate)
+{
+  HLRAction *action = h_shift_action(table->arena, nextstate);
+
+  switch(symbol->type) {
+  case HCF_END:
+    h_stringmap_put_end(table->tmap[state], action);
+    break;
+  case HCF_CHAR:
+    h_stringmap_put_char(table->tmap[state], symbol->chr, action);
+    break;
+  default:
+    // nonterminal case
+    h_hashtable_put(table->ntmap[state], symbol, action);
+  }
+}
+
+HLRTable *h_lr0_table(HCFGrammar *g, const HLRDFA *dfa)
+{
+  HAllocator *mm__ = g->mm__;
+
+  HLRTable *table = h_lrtable_new(mm__, dfa->nstates);
+  HArena *arena = table->arena;
+
+  // remember start symbol
+  table->start = g->start;
+
+  // shift to the accepting end state for the start symbol
+  put_shift(table, 0, g->start, HLR_SUCCESS);
+
+  // add shift entries
+  for(HSlistNode *x = dfa->transitions->head; x; x = x->next) {
+    // for each transition x-A->y, add "shift, goto y" to table entry (x,A)
+    HLRTransition *t = x->elem;
+
+    put_shift(table, t->from, t->symbol, t->to);
+  }
+
+  // add reduce entries, record inadequate states
+  for(size_t i=0; i<dfa->nstates; i++) {
+    bool inadeq = false;
+
+    // find reducible items in state
+    H_FOREACH_KEY(dfa->states[i], HLRItem *item)
+      if(item->mark == item->len) { // mark at the end
+        HLRAction *reduce = h_reduce_action(arena, item);
+        
+        // check for reduce/reduce conflict on forall
+        if(table->forall[i]) {
+          reduce = h_lr_conflict(arena, table->forall[i], reduce);
+          inadeq = true;
+        }
+        table->forall[i] = reduce;
+
+        // check for shift/reduce conflict with other entries
+        // NOTE: these are not recorded as HLR_CONFLICTs at this point
+
+        if(!h_lrtable_row_empty(table, i))
+          inadeq = true;
+      }
+    H_END_FOREACH
+
+    if(inadeq)
+      h_slist_push(table->inadeq, (void *)(uintptr_t)i);
+  }
+
+  return table;
+}
diff --git a/src/backends/packrat.c b/src/backends/packrat.c
index c5c9565f272caab47aeab2f59592bf93dd40d524..8aa1f8ed670502f4b59e9be6498d22eaa74723ad 100644
--- a/src/backends/packrat.c
+++ b/src/backends/packrat.c
@@ -3,14 +3,6 @@
 #include "../internal.h"
 #include "../parsers/parser_internal.h"
 
-static uint32_t djbhash(const uint8_t *buf, size_t len) {
-  uint32_t hash = 5381;
-  while (len--) {
-    hash = hash * 33 + *buf++;
-  }
-  return hash;
-}
-
 // short-hand for constructing HCachedResult's
 static HCachedResult *cached_result(const HParseState *state, HParseResult *result) {
   HCachedResult *ret = a_new(HCachedResult, 1);
@@ -214,7 +206,7 @@ void h_packrat_free(HParser *parser) {
 }
 
 static uint32_t cache_key_hash(const void* key) {
-  return djbhash(key, sizeof(HParserCacheKey));
+  return h_djbhash(key, sizeof(HParserCacheKey));
 }
 static bool cache_key_equal(const void* key1, const void* key2) {
   return memcmp(key1, key2, sizeof(HParserCacheKey)) == 0;
diff --git a/src/cfgrammar.c b/src/cfgrammar.c
index d3168adc948ca3951b579666d2a3ae9c93ced4fe..196d9d3c8b6ee9cb77b24a98ff365b8b4634ac45 100644
--- a/src/cfgrammar.c
+++ b/src/cfgrammar.c
@@ -18,12 +18,13 @@ HCFGrammar *h_cfgrammar_new(HAllocator *mm__)
   g->mm__   = mm__;
   g->arena  = h_new_arena(mm__, 0);     // default blocksize
   g->nts    = h_hashset_new(g->arena, h_eq_ptr, h_hash_ptr);
+  g->start  = NULL;
   g->geneps = NULL;
   g->first  = NULL;
   g->follow = NULL;
   g->kmax   = 0;    // will be increased as needed by ensure_k
 
-  HCFStringMap *eps = h_stringmap_new(g->arena);
+  HStringMap *eps = h_stringmap_new(g->arena);
   h_stringmap_put_epsilon(eps, INSET);
   g->singleton_epsilon = eps;
 
@@ -50,6 +51,11 @@ HCFGrammar *h_cfgrammar(HAllocator* mm__, const HParser *parser)
   if(desugared == NULL)
     return NULL;  // -> backend not suitable for this parser
 
+  return h_cfgrammar_(mm__, desugared);
+}
+
+HCFGrammar *h_cfgrammar_(HAllocator* mm__, HCFChoice *desugared)
+{
   HCFGrammar *g = h_cfgrammar_new(mm__);
 
   // recursively traverse the desugared form and collect all HCFChoices that
@@ -219,39 +225,52 @@ static void collect_geneps(HCFGrammar *g)
 }
 
 
-HCFStringMap *h_stringmap_new(HArena *a)
+HStringMap *h_stringmap_new(HArena *a)
 {
-  HCFStringMap *m = h_arena_malloc(a, sizeof(HCFStringMap));
+  HStringMap *m = h_arena_malloc(a, sizeof(HStringMap));
+  m->epsilon_branch = NULL;
+  m->end_branch = NULL;
   m->char_branches = h_hashtable_new(a, h_eq_ptr, h_hash_ptr);
   m->arena = a;
   return m;
 }
 
-void h_stringmap_put_end(HCFStringMap *m, void *v)
+void h_stringmap_put_end(HStringMap *m, void *v)
 {
   m->end_branch = v;
 }
 
-void h_stringmap_put_epsilon(HCFStringMap *m, void *v)
+void h_stringmap_put_epsilon(HStringMap *m, void *v)
 {
   m->epsilon_branch = v;
 }
 
-void h_stringmap_put_char(HCFStringMap *m, uint8_t c, void *v)
+void h_stringmap_put_after(HStringMap *m, uint8_t c, HStringMap *ends)
 {
-  HCFStringMap *node = h_stringmap_new(m->arena);
+  h_hashtable_put(m->char_branches, (void *)char_key(c), ends);
+}
+
+void h_stringmap_put_char(HStringMap *m, uint8_t c, void *v)
+{
+  HStringMap *node = h_stringmap_new(m->arena);
   h_stringmap_put_epsilon(node, v);
-  h_hashtable_put(m->char_branches, (void *)char_key(c), node);
+  h_stringmap_put_after(m, c, node);
 }
 
 // helper for h_stringmap_update
-void *combine_stringmap(void *v1, void *v2)
+static void *combine_stringmap(void *v1, const void *v2)
 {
-  h_stringmap_update((HCFStringMap *)v1, (HCFStringMap *)v2);
-  return v1;
+  HStringMap *m1 = v1;
+  const HStringMap *m2 = v2;
+  if(!m1)
+    m1 = h_stringmap_new(m2->arena);
+  h_stringmap_update(m1, m2);
+
+  return m1;
 }
 
-void h_stringmap_update(HCFStringMap *m, const HCFStringMap *n)
+/* Note: Does *not* reuse submaps from n in building m. */
+void h_stringmap_update(HStringMap *m, const HStringMap *n)
 {
   if(n->epsilon_branch)
     m->epsilon_branch = n->epsilon_branch;
@@ -262,32 +281,91 @@ void h_stringmap_update(HCFStringMap *m, const HCFStringMap *n)
   h_hashtable_merge(combine_stringmap, m->char_branches, n->char_branches);
 }
 
-void *h_stringmap_get(const HCFStringMap *m, const uint8_t *str, size_t n, bool end)
+/* Replace all occurances of old in m with new.
+ * If old is NULL, replace all values in m with new.
+ * If new is NULL, remove the respective values.
+ */
+void h_stringmap_replace(HStringMap *m, void *old, void *new)
+{
+  if(!old) {
+    if(m->epsilon_branch) m->epsilon_branch = new;
+    if(m->end_branch)     m->end_branch = new;
+  } else {
+    if(m->epsilon_branch == old) m->epsilon_branch = new;
+    if(m->end_branch == old)     m->end_branch = new;
+  }
+
+  // iterate over m->char_branches
+  const HHashTable *ht = m->char_branches;
+  for(size_t i=0; i < ht->capacity; i++) {
+    for(HHashTableEntry *hte = &ht->contents[i]; hte; hte = hte->next) {
+      if(hte->key == NULL)
+        continue;
+
+      HStringMap *m_ = hte->value;
+      if(m_)
+        h_stringmap_replace(m_, old, new);
+    }
+  }
+}
+
+void *h_stringmap_get(const HStringMap *m, const uint8_t *str, size_t n, bool end)
 {
   for(size_t i=0; i<n; i++) {
     if(i==n-1 && end && m->end_branch)
       return m->end_branch;
-    m = h_hashtable_get(m->char_branches, (void *)char_key(str[i]));
+    m = h_stringmap_get_char(m, str[i]);
     if(!m)
       return NULL;
   }
   return m->epsilon_branch;
 }
 
-bool h_stringmap_present(const HCFStringMap *m, const uint8_t *str, size_t n, bool end)
+void *h_stringmap_get_lookahead(const HStringMap *m, HInputStream lookahead)
+{
+  while(m) {
+    if(m->epsilon_branch) {     // input matched
+      // assert: another lookahead would not bring a more specific match.
+      //         this is for the table generator to ensure. (LLk)
+      return m->epsilon_branch;
+    }
+
+    // note the lookahead stream is passed by value, i.e. a copy.
+    // reading bits from it does not consume them from the real input.
+    uint8_t c = h_read_bits(&lookahead, 8, false);
+    
+    if(lookahead.overrun) {     // end of input
+      // XXX assumption of byte-wise grammar and input
+      return m->end_branch;
+    }
+
+    // no match yet, descend
+    m = h_stringmap_get_char(m, c);
+  }
+
+  return NULL;
+}
+
+bool h_stringmap_present(const HStringMap *m, const uint8_t *str, size_t n, bool end)
 {
   return (h_stringmap_get(m, str, n, end) != NULL);
 }
 
-bool h_stringmap_present_epsilon(const HCFStringMap *m)
+bool h_stringmap_present_epsilon(const HStringMap *m)
 {
   return (m->epsilon_branch != NULL);
 }
 
+bool h_stringmap_empty(const HStringMap *m)
+{
+  return (m->epsilon_branch == NULL
+          && m->end_branch == NULL
+          && h_hashtable_empty(m->char_branches));
+}
 
-const HCFStringMap *h_first(size_t k, HCFGrammar *g, const HCFChoice *x)
+const HStringMap *h_first(size_t k, HCFGrammar *g, const HCFChoice *x)
 {
-  HCFStringMap *ret;
+  HStringMap *ret;
   HCFSequence **p;
   uint8_t c;
 
@@ -333,18 +411,18 @@ const HCFStringMap *h_first(size_t k, HCFGrammar *g, const HCFChoice *x)
 }
 
 // helpers for h_first_seq, definitions below
-static bool is_singleton_epsilon(const HCFStringMap *m);
-static bool any_string_shorter(size_t k, const HCFStringMap *m);
+static bool is_singleton_epsilon(const HStringMap *m);
+static bool any_string_shorter(size_t k, const HStringMap *m);
 
 // pointer to functions like h_first_seq
-typedef const HCFStringMap *(*StringSetFun)(size_t, HCFGrammar *, HCFChoice **);
+typedef const HStringMap *(*StringSetFun)(size_t, HCFGrammar *, HCFChoice **);
 
 // helper for h_first_seq and h_follow
-static void stringset_extend(HCFGrammar *g, HCFStringMap *ret,
-                             size_t k, const HCFStringMap *as,
+static void stringset_extend(HCFGrammar *g, HStringMap *ret,
+                             size_t k, const HStringMap *as,
                              StringSetFun f, HCFChoice **tail);
 
-const HCFStringMap *h_first_seq(size_t k, HCFGrammar *g, HCFChoice **s)
+const HStringMap *h_first_seq(size_t k, HCFGrammar *g, HCFChoice **s)
 {
   // shortcut: the first set of the empty sequence, for any k, is {""}
   if(*s == NULL)
@@ -355,7 +433,7 @@ const HCFStringMap *h_first_seq(size_t k, HCFGrammar *g, HCFChoice **s)
   HCFChoice *x = s[0];
   HCFChoice **tail = s+1;
 
-  const HCFStringMap *first_x = h_first(k, g, x);
+  const HStringMap *first_x = h_first(k, g, x);
 
   // shortcut: if first_k(X) = {""}, just return first_k(tail)
   if(is_singleton_epsilon(first_x))
@@ -366,7 +444,7 @@ const HCFStringMap *h_first_seq(size_t k, HCFGrammar *g, HCFChoice **s)
     return first_x;
 
   // create a new result set and build up the set described above
-  HCFStringMap *ret = h_stringmap_new(g->arena);
+  HStringMap *ret = h_stringmap_new(g->arena);
 
   // extend the elements of first_k(X) up to length k from tail
   stringset_extend(g, ret, k, first_x, h_first_seq, tail);
@@ -374,14 +452,14 @@ const HCFStringMap *h_first_seq(size_t k, HCFGrammar *g, HCFChoice **s)
   return ret;
 }
 
-static bool is_singleton_epsilon(const HCFStringMap *m)
+static bool is_singleton_epsilon(const HStringMap *m)
 {
   return ( m->epsilon_branch
            && !m->end_branch
            && h_hashtable_empty(m->char_branches) );
 }
 
-static bool any_string_shorter(size_t k, const HCFStringMap *m)
+static bool any_string_shorter(size_t k, const HStringMap *m)
 {
   if(k==0)
     return false;
@@ -395,7 +473,7 @@ static bool any_string_shorter(size_t k, const HCFStringMap *m)
     for(HHashTableEntry *hte = &ht->contents[i]; hte; hte = hte->next) {
       if(hte->key == NULL)
         continue;
-      HCFStringMap *m_ = hte->value;
+      HStringMap *m_ = hte->value;
 
       // check subtree for strings shorter than k-1
       if(any_string_shorter(k-1, m_))
@@ -406,15 +484,32 @@ static bool any_string_shorter(size_t k, const HCFStringMap *m)
   return false;
 }
 
-const HCFStringMap *h_follow(size_t k, HCFGrammar *g, const HCFChoice *x);
+// helper for h_predict
+static void remove_all_shorter(size_t k, HStringMap *m)
+{
+  if(k==0) return;
+  m->epsilon_branch = NULL;
+  if(k==1) return;
+
+  // iterate over m->char_branches
+  const HHashTable *ht = m->char_branches;
+  for(size_t i=0; i < ht->capacity; i++) {
+    for(HHashTableEntry *hte = &ht->contents[i]; hte; hte = hte->next) {
+      if(hte->key == NULL)
+        continue;
+      remove_all_shorter(k-1, hte->value);      // recursion into subtree
+    }
+  }
+}
 
 // h_follow adapted to the signature of StringSetFun
-static inline const HCFStringMap *h_follow_(size_t k, HCFGrammar *g, HCFChoice **s)
+static inline
+const HStringMap *h_follow_(size_t k, HCFGrammar *g, HCFChoice **s)
 {
   return h_follow(k, g, *s);
 }
 
-const HCFStringMap *h_follow(size_t k, HCFGrammar *g, const HCFChoice *x)
+const HStringMap *h_follow(size_t k, HCFGrammar *g, const HCFChoice *x)
 {
   // consider all occurances of X in g
   // the follow set of X is the union of:
@@ -425,7 +520,7 @@ const HCFStringMap *h_follow(size_t k, HCFGrammar *g, const HCFChoice *x)
   // first_k(tail follow_k(A)) =
   //   { a b | a <- first_k(tail), b <- follow_l(A), l=k-|a| }
 
-  HCFStringMap *ret;
+  HStringMap *ret;
 
   // shortcut: follow_0(X) is always {""}
   if(k==0)
@@ -463,9 +558,7 @@ const HCFStringMap *h_follow(size_t k, HCFGrammar *g, const HCFChoice *x)
           if(*s == x) { // occurance found
             HCFChoice **tail = s+1;
 
-            const HCFStringMap *first_tail = h_first_seq(k, g, tail);
-
-            //h_stringmap_update(ret, first_tail);
+            const HStringMap *first_tail = h_first_seq(k, g, tail);
 
             // extend the elems of first_k(tail) up to length k from follow(A)
             stringset_extend(g, ret, k, first_tail, h_follow_, &a);
@@ -478,9 +571,30 @@ const HCFStringMap *h_follow(size_t k, HCFGrammar *g, const HCFChoice *x)
   return ret;
 }
 
+HStringMap *h_predict(size_t k, HCFGrammar *g,
+                        const HCFChoice *A, const HCFSequence *rhs)
+{
+  HStringMap *ret = h_stringmap_new(g->arena);
+
+  // predict_k(A -> rhs) =
+  //   { ab | a <- first_k(rhs), b <- follow_k(A), |ab|=k }
+  
+  const HStringMap *first_rhs = h_first_seq(k, g, rhs->items);
+
+  // casting the const off of A below. note: stringset_extend does
+  // not touch this argument, only passes it through to h_follow
+  // in this case, which accepts it, once again, as const.
+  stringset_extend(g, ret, k, first_rhs, h_follow_, (HCFChoice **)&A);
+
+  // make sure there are only strings of length _exactly_ k
+  remove_all_shorter(k, ret);
+
+  return ret;
+}
+
 // add the set { a b | a <- as, b <- f_l(S), l=k-|a| } to ret
-static void stringset_extend(HCFGrammar *g, HCFStringMap *ret,
-                             size_t k, const HCFStringMap *as,
+static void stringset_extend(HCFGrammar *g, HStringMap *ret,
+                             size_t k, const HStringMap *as,
                              StringSetFun f, HCFChoice **tail)
 {
   if(as->epsilon_branch) {
@@ -503,13 +617,13 @@ static void stringset_extend(HCFGrammar *g, HCFStringMap *ret,
       uint8_t c = key_char((HCharKey)hte->key);
       
       // follow the branch to find the set { a' | t a' <- as }
-      HCFStringMap *as_ = (HCFStringMap *)hte->value;
+      HStringMap *as_ = (HStringMap *)hte->value;
 
       // now the elements of ret that begin with t are given by
       // t { a b | a <- as_, b <- f_l(tail), l=k-|a|-1 }
       // so we can use recursion over k
-      HCFStringMap *ret_ = h_stringmap_new(g->arena);
-      h_stringmap_put_char(ret, c, ret_);
+      HStringMap *ret_ = h_stringmap_new(g->arena);
+      h_stringmap_put_after(ret, c, ret_);
 
       stringset_extend(g, ret_, k-1, as_, f, tail);
     }
@@ -517,7 +631,7 @@ static void stringset_extend(HCFGrammar *g, HCFStringMap *ret,
 }
 
 
-static void pprint_char(FILE *f, char c)
+void h_pprint_char(FILE *f, char c)
 {
   switch(c) {
   case '"': fputs("\\\"", f); break;
@@ -541,7 +655,7 @@ static void pprint_charset_char(FILE *f, char c)
   case '"': fputc(c, f); break;
   case '-': fputs("\\-", f); break;
   case ']': fputs("\\-", f); break;
-  default:  pprint_char(f, c);
+  default:  h_pprint_char(f, c);
   }
 }
 
@@ -589,18 +703,18 @@ static HCFChoice **pprint_string(FILE *f, HCFChoice **x)
   for(; *x; x++) {
     if((*x)->type != HCF_CHAR)
       break;
-    pprint_char(f, (*x)->chr);
+    h_pprint_char(f, (*x)->chr);
   }
   fputc('"', f);
   return x;
 }
 
-static void pprint_symbol(FILE *f, const HCFGrammar *g, const HCFChoice *x)
+void h_pprint_symbol(FILE *f, const HCFGrammar *g, const HCFChoice *x)
 {
   switch(x->type) {
   case HCF_CHAR:
     fputc('"', f);
-    pprint_char(f, x->chr);
+    h_pprint_char(f, x->chr);
     fputc('"', f);
     break;
   case HCF_END:
@@ -614,32 +728,37 @@ static void pprint_symbol(FILE *f, const HCFGrammar *g, const HCFChoice *x)
   }
 }
 
-static void pprint_sequence(FILE *f, const HCFGrammar *g, const HCFSequence *seq)
+void h_pprint_sequence(FILE *f, const HCFGrammar *g, const HCFSequence *seq)
 {
   HCFChoice **x = seq->items;
 
   if(*x == NULL) {  // the empty sequence
-    fputs(" \"\"", f);
+    fputs("\"\"", f);
   } else {
     while(*x) {
-      fputc(' ', f);      // separator
+      if(x != seq->items) fputc(' ', f); // internal separator
 
       if((*x)->type == HCF_CHAR) {
         // condense character strings
         x = pprint_string(f, x);
       } else {
-        pprint_symbol(f, g, *x);
+        h_pprint_symbol(f, g, *x);
         x++;
       }
     }
   }
+}
 
+// adds some separators expected below
+static void pprint_sequence(FILE *f, const HCFGrammar *g, const HCFSequence *seq)
+{
+  fputc(' ', f);
+  h_pprint_sequence(f, g, seq);
   fputc('\n', f);
 }
 
-static
-void pprint_ntrules(FILE *f, const HCFGrammar *g, const HCFChoice *nt,
-                    int indent, int len)
+static void pprint_ntrules(FILE *f, const HCFGrammar *g, const HCFChoice *nt,
+                           int indent, int len)
 {
   int i;
   int column = indent + len;
@@ -709,7 +828,7 @@ void h_pprint_symbolset(FILE *file, const HCFGrammar *g, const HHashSet *set, in
 
       a = hte->key;        // production's left-hand symbol
 
-      pprint_symbol(file, g, a);
+      h_pprint_symbol(file, g, a);
     }
   }
 
@@ -718,26 +837,44 @@ void h_pprint_symbolset(FILE *file, const HCFGrammar *g, const HHashSet *set, in
 
 #define BUFSIZE 512
 
-void pprint_stringset_elems(FILE *file, bool first, char *prefix, size_t n, const HCFStringMap *set)
+static bool
+pprint_stringmap_elems(FILE *file, bool first, char *prefix, size_t n, char sep,
+                       void (*valprint)(FILE *f, void *env, void *val), void *env,
+                       const HStringMap *map)
 {
   assert(n < BUFSIZE-4);
 
-  if(set->epsilon_branch) {
-    if(!first) fputc(',', file); first=false;
-    if(n==0)
-      fputs("''", file);
-    else
+  if(map->epsilon_branch) {
+    if(!first) fputc(sep, file); first=false;
+    if(n==0) {
+      fputs("\"\"", file);
+    } else {
+      fputs("\"", file);
       fwrite(prefix, 1, n, file);
+      fputs("\"", file);
+    }
+
+    if(valprint) {
+      fputc(':', file);
+      valprint(file, env, map->epsilon_branch);
+    }
   }
 
-  if(set->end_branch) {
-    if(!first) fputc(',', file); first=false;
+  if(map->end_branch) {
+    if(!first) fputs(",\"", file); first=false;
+    if(n>0) fputs("\"\"", file);
     fwrite(prefix, 1, n, file);
-    fputc('$', file);
+    if(n>0) fputs("\"\"", file);
+    fputs("$", file);
+
+    if(valprint) {
+      fputc(':', file);
+      valprint(file, env, map->end_branch);
+    }
   }
 
-  // iterate over set->char_branches
-  HHashTable *ht = set->char_branches;
+  // iterate over map->char_branches
+  HHashTable *ht = map->char_branches;
   size_t i;
   HHashTableEntry *hte;
   for(i=0; i < ht->capacity; i++) {
@@ -745,7 +882,7 @@ void pprint_stringset_elems(FILE *file, bool first, char *prefix, size_t n, cons
       if(hte->key == NULL)
         continue;
       uint8_t c = key_char((HCharKey)hte->key);
-      HCFStringMap *ends = hte->value;
+      HStringMap *ends = hte->value;
 
       size_t n_ = n;
       switch(c) {
@@ -763,18 +900,28 @@ void pprint_stringset_elems(FILE *file, bool first, char *prefix, size_t n, cons
           n_ += sprintf(prefix+n_, "\\x%.2X", c);
       }
 
-      pprint_stringset_elems(file, first, prefix, n_, ends);
+      first = pprint_stringmap_elems(file, first, prefix, n_,
+                                     sep, valprint, env, ends);
     }
   }
+
+  return first;
+}
+
+void h_pprint_stringmap(FILE *file, char sep,
+                        void (*valprint)(FILE *f, void *env, void *val), void *env,
+                        const HStringMap *map)
+{
+  char buf[BUFSIZE];
+  pprint_stringmap_elems(file, true, buf, 0, sep, valprint, env, map);
 }
 
-void h_pprint_stringset(FILE *file, const HCFGrammar *g, const HCFStringMap *set, int indent)
+void h_pprint_stringset(FILE *file, const HStringMap *set, int indent)
 {
   int j;
   for(j=0; j<indent; j++) fputc(' ', file);
 
-  char buf[BUFSIZE];
   fputc('{', file);
-  pprint_stringset_elems(file, true, buf, 0, set);
+  h_pprint_stringmap(file, ',', NULL, NULL, set);
   fputs("}\n", file);
 }
diff --git a/src/cfgrammar.h b/src/cfgrammar.h
index cec5d6e9b4b7ea011fe896b7f6d433826ebefcc9..193f8ca327d2f9c0b74518b9942b5fe3f37c407b 100644
--- a/src/cfgrammar.h
+++ b/src/cfgrammar.h
@@ -16,7 +16,7 @@ typedef struct HCFGrammar_ {
 
   // constant set containing only the empty string.
   // this is only a member of HCFGrammar because it needs a pointer to arena.
-  const struct HCFStringMap_ *singleton_epsilon;
+  const struct HStringMap_ *singleton_epsilon;
 } HCFGrammar;
 
 
@@ -32,21 +32,28 @@ static inline uint8_t key_char(HCharKey k) { return (0xFF & k); }
  * input tokens.
  * Each path through the tree represents the string along its branches.
  */
-typedef struct HCFStringMap_ {
+typedef struct HStringMap_ {
   void *epsilon_branch;         // points to leaf value
   void *end_branch;             // points to leaf value
-  HHashTable *char_branches;    // maps to inner nodes (HCFStringMaps)
+  HHashTable *char_branches;    // maps to inner nodes (HStringMaps)
   HArena *arena;
-} HCFStringMap;
+} HStringMap;
 
-HCFStringMap *h_stringmap_new(HArena *a);
-void h_stringmap_put_end(HCFStringMap *m, void *v);
-void h_stringmap_put_epsilon(HCFStringMap *m, void *v);
-void h_stringmap_put_char(HCFStringMap *m, uint8_t c, void *v);
-void h_stringmap_update(HCFStringMap *m, const HCFStringMap *n);
-void *h_stringmap_get(const HCFStringMap *m, const uint8_t *str, size_t n, bool end);
-bool h_stringmap_present(const HCFStringMap *m, const uint8_t *str, size_t n, bool end);
-bool h_stringmap_present_epsilon(const HCFStringMap *m);
+HStringMap *h_stringmap_new(HArena *a);
+void h_stringmap_put_end(HStringMap *m, void *v);
+void h_stringmap_put_epsilon(HStringMap *m, void *v);
+void h_stringmap_put_after(HStringMap *m, uint8_t c, HStringMap *ends);
+void h_stringmap_put_char(HStringMap *m, uint8_t c, void *v);
+void h_stringmap_update(HStringMap *m, const HStringMap *n);
+void h_stringmap_replace(HStringMap *m, void *old, void *new);
+void *h_stringmap_get(const HStringMap *m, const uint8_t *str, size_t n, bool end);
+void *h_stringmap_get_lookahead(const HStringMap *m, HInputStream lookahead);
+bool h_stringmap_present(const HStringMap *m, const uint8_t *str, size_t n, bool end);
+bool h_stringmap_present_epsilon(const HStringMap *m);
+bool h_stringmap_empty(const HStringMap *m);
+
+static inline HStringMap *h_stringmap_get_char(const HStringMap *m, const uint8_t c)
+ { return h_hashtable_get(m->char_branches, (void *)char_key(c)); }
 
 
 /* Convert 'parser' into CFG representation by desugaring and compiling the set
@@ -54,6 +61,9 @@ bool h_stringmap_present_epsilon(const HCFStringMap *m);
  * A NULL return means we are unable to represent the parser as a CFG.
  */
 HCFGrammar *h_cfgrammar(HAllocator* mm__, const HParser *parser);
+HCFGrammar *h_cfgrammar_(HAllocator* mm__, HCFChoice *start);
+
+HCFGrammar *h_cfgrammar_new(HAllocator *mm__);
 
 /* Frees the given grammar and associated data.
  * Does *not* free parsers' CFG forms as created by h_desugar.
@@ -67,16 +77,28 @@ bool h_derives_epsilon(HCFGrammar *g, const HCFChoice *symbol);
 bool h_derives_epsilon_seq(HCFGrammar *g, HCFChoice **s);
 
 /* Compute first_k set of symbol x. Memoized. */
-const HCFStringMap *h_first(size_t k, HCFGrammar *g, const HCFChoice *x);
+const HStringMap *h_first(size_t k, HCFGrammar *g, const HCFChoice *x);
 
 /* Compute first_k set of sentential form s. s NULL-terminated. */
-const HCFStringMap *h_first_seq(size_t k, HCFGrammar *g, HCFChoice **s);
+const HStringMap *h_first_seq(size_t k, HCFGrammar *g, HCFChoice **s);
 
 /* Compute follow_k set of symbol x. Memoized. */
-const HCFStringMap *h_follow(size_t k, HCFGrammar *g, const HCFChoice *x);
+const HStringMap *h_follow(size_t k, HCFGrammar *g, const HCFChoice *x);
+
+/* Compute the predict_k set of production "A -> rhs".
+ * Always returns a newly-allocated HStringMap.
+ */
+HStringMap *h_predict(size_t k, HCFGrammar *g,
+                        const HCFChoice *A, const HCFSequence *rhs);
 
 
 /* Pretty-printers for grammars and associated data. */
 void h_pprint_grammar(FILE *file, const HCFGrammar *g, int indent);
+void h_pprint_sequence(FILE *f, const HCFGrammar *g, const HCFSequence *seq);
+void h_pprint_symbol(FILE *f, const HCFGrammar *g, const HCFChoice *x);
 void h_pprint_symbolset(FILE *file, const HCFGrammar *g, const HHashSet *set, int indent);
-void h_pprint_stringset(FILE *file, const HCFGrammar *g, const HCFStringMap *set, int indent);
+void h_pprint_stringset(FILE *file, const HStringMap *set, int indent);
+void h_pprint_stringmap(FILE *file, char sep,
+                        void (*valprint)(FILE *f, void *env, void *val), void *env,
+                        const HStringMap *map);
+void h_pprint_char(FILE *file, char c);
diff --git a/src/datastructures.c b/src/datastructures.c
index 1ddd6203cb25dd8db748e3ead3a15db3d06f27bb..45a7eba768e4fa0fa25b42aca1eebc5b8946e740 100644
--- a/src/datastructures.c
+++ b/src/datastructures.c
@@ -62,6 +62,16 @@ HSlist* h_slist_copy(HSlist *slist) {
   return ret;
 }
 
+// like h_slist_pop, but does not deallocate the head node
+void* h_slist_drop(HSlist *slist) {
+  HSlistNode *head = slist->head;
+  if (!head)
+    return NULL;
+  void* ret = head->elem;
+  slist->head = head->next;
+  return ret;
+}
+
 void* h_slist_pop(HSlist *slist) {
   HSlistNode *head = slist->head;
   if (!head)
@@ -147,6 +157,8 @@ void* h_hashtable_get(const HHashTable* ht, const void* key) {
   for (hte = &ht->contents[hashval & (ht->capacity - 1)];
        hte != NULL;
        hte = hte->next) {
+    if (hte->key == NULL)
+      continue;
     if (hte->hashval != hashval)
       continue;
     if (ht->equalFunc(key, hte->key))
@@ -201,7 +213,7 @@ void h_hashtable_update(HHashTable *dst, const HHashTable *src) {
   }
 }
 
-void h_hashtable_merge(void *(*combine)(void *v1, void *v2),
+void h_hashtable_merge(void *(*combine)(void *v1, const void *v2),
 	HHashTable *dst, const HHashTable *src) {
   size_t i;
   HHashTableEntry *hte;
@@ -209,13 +221,9 @@ void h_hashtable_merge(void *(*combine)(void *v1, void *v2),
     for(hte = &src->contents[i]; hte; hte = hte->next) {
       if(hte->key == NULL)
         continue;
-      void *oldvalue = h_hashtable_get(dst, hte->key);
-      void *newvalue;
-      if(oldvalue)
-        newvalue = combine(oldvalue, hte->value);
-      else
-        newvalue = hte->value;
-      h_hashtable_put(dst, hte->key, newvalue);
+      void *dstvalue = h_hashtable_get(dst, hte->key);
+      void *srcvalue = hte->value;
+      h_hashtable_put(dst, hte->key, combine(dstvalue, srcvalue));
     }
   }
 }
@@ -236,6 +244,7 @@ int   h_hashtable_present(const HHashTable* ht, const void* key) {
   }
   return false;
 }
+
 void  h_hashtable_del(HHashTable* ht, const void* key) {
   HHashValue hashval = ht->hashFunc(key);
 #ifdef CONSISTENCY_CHECK
@@ -261,6 +270,7 @@ void  h_hashtable_del(HHashTable* ht, const void* key) {
     }
   }
 }
+
 void  h_hashtable_free(HHashTable* ht) {
   for (size_t i = 0; i < ht->capacity; i++) {
     HHashTableEntry *hten, *hte = &ht->contents[i];
@@ -276,15 +286,76 @@ void  h_hashtable_free(HHashTable* ht) {
   h_arena_free(ht->arena, ht->contents);
 }
 
+// helper for hte_equal
+static bool hte_same_length(HHashTableEntry *xs, HHashTableEntry *ys) {
+  while(xs && ys) {
+    xs=xs->next;
+    ys=ys->next;
+    // skip NULL keys (= element not present)
+    while(xs && xs->key == NULL) xs=xs->next;
+    while(ys && ys->key == NULL) ys=ys->next;
+  }
+  return (xs == ys);    // both NULL
+}
+
+// helper for hte_equal: are all elements of xs present in ys?
+static bool hte_subset(HEqualFunc eq, HHashTableEntry *xs, HHashTableEntry *ys)
+{
+  for(; xs; xs=xs->next) {
+    if(xs->key == NULL) continue;   // element not present
+
+    HHashTableEntry *hte;
+    for(hte=ys; hte; hte=hte->next) {
+      if(hte->key == xs->key) break; // assume an element is equal to itself
+      if(hte->hashval != xs->hashval) continue; // shortcut
+      if(eq(hte->key, xs->key)) break;
+    }
+    if(hte == NULL) return false;   // element not found
+  }
+  return true;                      // all found
+}
+
+// compare two lists of HHashTableEntries
+static inline bool hte_equal(HEqualFunc eq, HHashTableEntry *xs, HHashTableEntry *ys) {
+  return (hte_same_length(xs, ys) && hte_subset(eq, xs, ys));
+}
+
+/* Set equality of HHashSets.
+ * Obviously, 'a' and 'b' must use the same equality function.
+ * Not strictly necessary, but we also assume the same hash function.
+ */
+bool h_hashset_equal(const HHashSet *a, const HHashSet *b) {
+  if(a->capacity == b->capacity) {
+    // iterate over the buckets in parallel
+    for(size_t i=0; i < a->capacity; i++) {
+      if(!hte_equal(a->equalFunc, &a->contents[i], &b->contents[i]))
+        return false;
+    }
+  } else {
+    assert_message(0, "h_hashset_equal called on sets of different capacity");
+    // TODO implement general case
+  }
+  return true;
+}
+
 bool h_eq_ptr(const void *p, const void *q) {
   return (p==q);
 }
 
 HHashValue h_hash_ptr(const void *p) {
-  // XXX just djbhash it
+  // XXX just djbhash it? it does make the benchmark ~7% slower.
+  //return h_djbhash((const uint8_t *)&p, sizeof(void *));
   return (uintptr_t)p >> 4;
 }
 
+uint32_t h_djbhash(const uint8_t *buf, size_t len) {
+  uint32_t hash = 5381;
+  while (len--) {
+    hash = hash * 33 + *buf++;
+  }
+  return hash;
+}
+
 HSArray *h_sarray_new(HAllocator *mm__, size_t size) {
   HSArray *ret = h_new(HSArray, 1);
   ret->capacity = size;
diff --git a/src/desugar.c b/src/desugar.c
index a613644e9c5f5dab017b761000a3c6856b8393a5..5ef8f9b95deb9c440c54fc568b73453ad5c69946 100644
--- a/src/desugar.c
+++ b/src/desugar.c
@@ -8,9 +8,12 @@ HCFChoice *h_desugar(HAllocator *mm__, HCFStack *stk__, const HParser *parser) {
     if (nstk__ == NULL) {
       nstk__ = h_cfstack_new(mm__);
     }
+    if(nstk__->prealloc == NULL)
+      nstk__->prealloc = h_new(HCFChoice, 1);
+    // we're going to do something naughty and cast away the const to memoize
     assert(parser->vtable->desugar != NULL);
+    ((HParser *)parser)->desugared = nstk__->prealloc;
     parser->vtable->desugar(mm__, nstk__, parser->env);
-    ((HParser *)parser)->desugared = nstk__->last_completed;
     if (stk__ == NULL)
       h_cfstack_free(mm__, nstk__);
   } else if (stk__ != NULL) {
diff --git a/src/hammer.c b/src/hammer.c
index 5f94142908f48f86a0dde79ccd376c2625063635..7fc80dba0c86ec76a2376d0d69914f235bf08afc 100644
--- a/src/hammer.c
+++ b/src/hammer.c
@@ -30,6 +30,8 @@ static HParserBackendVTable *backends[PB_MAX + 1] = {
   &h__packrat_backend_vtable,
   &h__regex_backend_vtable,
   &h__llk_backend_vtable,
+  &h__lalr_backend_vtable,
+  &h__glr_backend_vtable,
 };
 
 
diff --git a/src/hammer.h b/src/hammer.h
index 455684cc92edbfbf9b9352625e373ca408f61261..67fb8e4bff34eb741d7f14d3c64fcba160598369 100644
--- a/src/hammer.h
+++ b/src/hammer.h
@@ -34,11 +34,11 @@ typedef struct HParseState_ HParseState;
 typedef enum HParserBackend_ {
   PB_MIN = 0,
   PB_PACKRAT = PB_MIN, // PB_MIN is always the default.
-  PB_REGULAR,	// 
-  PB_LLk,	//
-  PB_LALR,	// Not Implemented
-  PB_GLR,	// Not Implemented
-  PB_MAX = PB_LLk
+  PB_REGULAR,
+  PB_LLk,
+  PB_LALR,
+  PB_GLR,
+  PB_MAX = PB_GLR
 } HParserBackend;
 
 typedef enum HTokenType_ {
diff --git a/src/internal.h b/src/internal.h
index b7fe6213da5c5749f159956345de5bbc755704eb..02ee7482e2066e91e605c5a34cbd216f951db348 100644
--- a/src/internal.h
+++ b/src/internal.h
@@ -279,6 +279,8 @@ struct HBitWriter_ {
 // Backends {{{
 extern HParserBackendVTable h__packrat_backend_vtable;
 extern HParserBackendVTable h__llk_backend_vtable;
+extern HParserBackendVTable h__lalr_backend_vtable;
+extern HParserBackendVTable h__glr_backend_vtable;
 // }}}
 
 // TODO(thequux): Set symbol visibility for these functions so that they aren't exported.
@@ -306,6 +308,7 @@ void h_carray_append(HCountedArray *array, void* item);
 HSlist* h_slist_new(HArena *arena);
 HSlist* h_slist_copy(HSlist *slist);
 void* h_slist_pop(HSlist *slist);
+void* h_slist_drop(HSlist *slist);
 void h_slist_push(HSlist *slist, void* item);
 bool h_slist_find(HSlist *slist, const void* item);
 HSlist* h_slist_remove_all(HSlist *slist, const void* item);
@@ -316,7 +319,7 @@ HHashTable* h_hashtable_new(HArena *arena, HEqualFunc equalFunc, HHashFunc hashF
 void* h_hashtable_get(const HHashTable* ht, const void* key);
 void  h_hashtable_put(HHashTable* ht, const void* key, void* value);
 void  h_hashtable_update(HHashTable* dst, const HHashTable *src);
-void  h_hashtable_merge(void *(*combine)(void *v1, void *v2),
+void  h_hashtable_merge(void *(*combine)(void *v1, const void *v2),
                         HHashTable *dst, const HHashTable *src);
 int   h_hashtable_present(const HHashTable* ht, const void* key);
 void  h_hashtable_del(HHashTable* ht, const void* key);
@@ -331,9 +334,11 @@ typedef HHashTable HHashSet;
 #define h_hashset_empty(ht)      h_hashtable_empty(ht)
 #define h_hashset_del(ht,el)     h_hashtable_del(ht,el)
 #define h_hashset_free(ht)       h_hashtable_free(ht)
+bool h_hashset_equal(const HHashSet *a, const HHashSet *b);
 
 bool h_eq_ptr(const void *p, const void *q);
 HHashValue h_hash_ptr(const void *p);
+uint32_t h_djbhash(const uint8_t *buf, size_t len);
 
 typedef struct HCFSequence_ HCFSequence;
 
diff --git a/src/parsers/indirect.c b/src/parsers/indirect.c
index 746f1a9ee37a0fbcdf6558cf7670290d34a76972..2217a202968f2a11306c60ccea34c9e3126186c1 100644
--- a/src/parsers/indirect.c
+++ b/src/parsers/indirect.c
@@ -10,7 +10,7 @@ static bool indirect_isValidCF(void *env) {
 }
 
 static void desugar_indirect(HAllocator *mm__, HCFStack *stk__, void *env) {
-  HCFS_DESUGAR( (HParser*)env );
+  HCFS_DESUGAR( (HParser *)env );
 }
 
 static const HParserVtable indirect_vt = {
diff --git a/src/parsers/unimplemented.c b/src/parsers/unimplemented.c
index 7c3c6671f8946fc61dd7f33ccd5971cf00e88ed8..e3f3039407eacaa1d24689767a4a1038fce66a93 100644
--- a/src/parsers/unimplemented.c
+++ b/src/parsers/unimplemented.c
@@ -16,6 +16,7 @@ static const HParserVtable unimplemented_vt = {
   .parse = parse_unimplemented,
   .isValidRegular = h_false,
   .isValidCF = h_false,
+  .desugar = NULL,
   .compile_to_rvm = h_not_regular,
 };
 
diff --git a/src/t_parser.c b/src/t_parser.c
index 8aab7bb38e4b950e60da93e1c362b4a09ef0bbb0..59adf36a69d1e34f9a460088a7021d8d14ff6df5 100644
--- a/src/t_parser.c
+++ b/src/t_parser.c
@@ -405,9 +405,9 @@ static void test_not(gconstpointer backend) {
   g_check_parse_ok(not_2, (HParserBackend)GPOINTER_TO_INT(backend), "a+b", 3, "(u0x61 (u0x2b) u0x62)");
   g_check_parse_ok(not_2, (HParserBackend)GPOINTER_TO_INT(backend), "a++b", 4, "(u0x61 <2b.2b> u0x62)");
 }
-/*
+
 static void test_leftrec(gconstpointer backend) {
-  const HParser *a_ = h_ch('a');
+  HParser *a_ = h_ch('a');
 
   HParser *lr_ = h_indirect();
   h_bind_indirect(lr_, h_choice(h_sequence(lr_, a_, NULL), a_, NULL));
@@ -416,7 +416,31 @@ static void test_leftrec(gconstpointer backend) {
   g_check_parse_ok(lr_, (HParserBackend)GPOINTER_TO_INT(backend), "aa", 2, "(u0x61 u0x61)");
   g_check_parse_ok(lr_, (HParserBackend)GPOINTER_TO_INT(backend), "aaa", 3, "((u0x61 u0x61) u0x61)");
 }
-*/
+
+static void test_rightrec(gconstpointer backend) {
+  HParser *a_ = h_ch('a');
+
+  HParser *rr_ = h_indirect();
+  h_bind_indirect(rr_, h_choice(h_sequence(a_, rr_, NULL), h_epsilon_p(), NULL));
+
+  g_check_parse_ok(rr_, (HParserBackend)GPOINTER_TO_INT(backend), "a", 1, "(u0x61)");
+  g_check_parse_ok(rr_, (HParserBackend)GPOINTER_TO_INT(backend), "aa", 2, "(u0x61 (u0x61))");
+  g_check_parse_ok(rr_, (HParserBackend)GPOINTER_TO_INT(backend), "aaa", 3, "(u0x61 (u0x61 (u0x61)))");
+}
+
+static void test_ambiguous(gconstpointer backend) {
+  HParser *d_ = h_ch('d');
+  HParser *p_ = h_ch('+');
+  HParser *E_ = h_indirect();
+  h_bind_indirect(E_, h_choice(h_sequence(E_, p_, E_, NULL), d_, NULL));
+  HParser *expr_ = h_action(E_, h_act_flatten);
+
+  g_check_parse_ok(expr_, (HParserBackend)GPOINTER_TO_INT(backend), "d", 1, "(u0x64)");
+  g_check_parse_ok(expr_, (HParserBackend)GPOINTER_TO_INT(backend), "d+d", 3, "(u0x64 u0x2b u0x64)");
+  g_check_parse_ok(expr_, (HParserBackend)GPOINTER_TO_INT(backend), "d+d+d", 5, "(u0x64 u0x2b u0x64 u0x2b u0x64)");
+  g_check_parse_failed(expr_, (HParserBackend)GPOINTER_TO_INT(backend), "d+", 2);
+}
+
 void register_parser_tests(void) {
   g_test_add_data_func("/core/parser/packrat/token", GINT_TO_POINTER(PB_PACKRAT), test_token);
   g_test_add_data_func("/core/parser/packrat/ch", GINT_TO_POINTER(PB_PACKRAT), test_ch);
@@ -460,6 +484,7 @@ void register_parser_tests(void) {
   g_test_add_data_func("/core/parser/packrat/not", GINT_TO_POINTER(PB_PACKRAT), test_not);
   g_test_add_data_func("/core/parser/packrat/ignore", GINT_TO_POINTER(PB_PACKRAT), test_ignore);
   //  g_test_add_data_func("/core/parser/packrat/leftrec", GINT_TO_POINTER(PB_PACKRAT), test_leftrec);
+  g_test_add_data_func("/core/parser/packrat/rightrec", GINT_TO_POINTER(PB_PACKRAT), test_rightrec);
 
   g_test_add_data_func("/core/parser/llk/token", GINT_TO_POINTER(PB_LLk), test_token);
   g_test_add_data_func("/core/parser/llk/ch", GINT_TO_POINTER(PB_LLk), test_ch);
@@ -496,6 +521,8 @@ void register_parser_tests(void) {
   g_test_add_data_func("/core/parser/llk/epsilon_p", GINT_TO_POINTER(PB_LLk), test_epsilon_p);
   g_test_add_data_func("/core/parser/llk/attr_bool", GINT_TO_POINTER(PB_LLk), test_attr_bool);
   g_test_add_data_func("/core/parser/llk/ignore", GINT_TO_POINTER(PB_LLk), test_ignore);
+  //g_test_add_data_func("/core/parser/llk/leftrec", GINT_TO_POINTER(PB_LLk), test_leftrec);
+  g_test_add_data_func("/core/parser/llk/rightrec", GINT_TO_POINTER(PB_LLk), test_rightrec);
 
   g_test_add_data_func("/core/parser/regex/token", GINT_TO_POINTER(PB_REGULAR), test_token);
   g_test_add_data_func("/core/parser/regex/ch", GINT_TO_POINTER(PB_REGULAR), test_ch);
@@ -533,4 +560,81 @@ void register_parser_tests(void) {
   g_test_add_data_func("/core/parser/regex/epsilon_p", GINT_TO_POINTER(PB_REGULAR), test_epsilon_p);
   g_test_add_data_func("/core/parser/regex/attr_bool", GINT_TO_POINTER(PB_REGULAR), test_attr_bool);
   g_test_add_data_func("/core/parser/regex/ignore", GINT_TO_POINTER(PB_REGULAR), test_ignore);
+
+  g_test_add_data_func("/core/parser/lalr/token", GINT_TO_POINTER(PB_LALR), test_token);
+  g_test_add_data_func("/core/parser/lalr/ch", GINT_TO_POINTER(PB_LALR), test_ch);
+  g_test_add_data_func("/core/parser/lalr/ch_range", GINT_TO_POINTER(PB_LALR), test_ch_range);
+  g_test_add_data_func("/core/parser/lalr/int64", GINT_TO_POINTER(PB_LALR), test_int64);
+  g_test_add_data_func("/core/parser/lalr/int32", GINT_TO_POINTER(PB_LALR), test_int32);
+  g_test_add_data_func("/core/parser/lalr/int16", GINT_TO_POINTER(PB_LALR), test_int16);
+  g_test_add_data_func("/core/parser/lalr/int8", GINT_TO_POINTER(PB_LALR), test_int8);
+  g_test_add_data_func("/core/parser/lalr/uint64", GINT_TO_POINTER(PB_LALR), test_uint64);
+  g_test_add_data_func("/core/parser/lalr/uint32", GINT_TO_POINTER(PB_LALR), test_uint32);
+  g_test_add_data_func("/core/parser/lalr/uint16", GINT_TO_POINTER(PB_LALR), test_uint16);
+  g_test_add_data_func("/core/parser/lalr/uint8", GINT_TO_POINTER(PB_LALR), test_uint8);
+  g_test_add_data_func("/core/parser/lalr/int_range", GINT_TO_POINTER(PB_LALR), test_int_range);
+#if 0
+  g_test_add_data_func("/core/parser/lalr/float64", GINT_TO_POINTER(PB_LALR), test_float64);
+  g_test_add_data_func("/core/parser/lalr/float32", GINT_TO_POINTER(PB_LALR), test_float32);
+#endif
+  g_test_add_data_func("/core/parser/lalr/whitespace", GINT_TO_POINTER(PB_LALR), test_whitespace);
+  g_test_add_data_func("/core/parser/lalr/left", GINT_TO_POINTER(PB_LALR), test_left);
+  g_test_add_data_func("/core/parser/lalr/right", GINT_TO_POINTER(PB_LALR), test_right);
+  g_test_add_data_func("/core/parser/lalr/middle", GINT_TO_POINTER(PB_LALR), test_middle);
+  g_test_add_data_func("/core/parser/lalr/action", GINT_TO_POINTER(PB_LALR), test_action);
+  g_test_add_data_func("/core/parser/lalr/in", GINT_TO_POINTER(PB_LALR), test_in);
+  g_test_add_data_func("/core/parser/lalr/not_in", GINT_TO_POINTER(PB_LALR), test_not_in);
+  g_test_add_data_func("/core/parser/lalr/end_p", GINT_TO_POINTER(PB_LALR), test_end_p);
+  g_test_add_data_func("/core/parser/lalr/nothing_p", GINT_TO_POINTER(PB_LALR), test_nothing_p);
+  g_test_add_data_func("/core/parser/lalr/sequence", GINT_TO_POINTER(PB_LALR), test_sequence);
+  g_test_add_data_func("/core/parser/lalr/choice", GINT_TO_POINTER(PB_LALR), test_choice);
+  g_test_add_data_func("/core/parser/lalr/many", GINT_TO_POINTER(PB_LALR), test_many);
+  g_test_add_data_func("/core/parser/lalr/many1", GINT_TO_POINTER(PB_LALR), test_many1);
+  g_test_add_data_func("/core/parser/lalr/optional", GINT_TO_POINTER(PB_LALR), test_optional);
+  g_test_add_data_func("/core/parser/lalr/sepBy", GINT_TO_POINTER(PB_LALR), test_sepBy);
+  g_test_add_data_func("/core/parser/lalr/sepBy1", GINT_TO_POINTER(PB_LALR), test_sepBy1);
+  g_test_add_data_func("/core/parser/lalr/epsilon_p", GINT_TO_POINTER(PB_LALR), test_epsilon_p);
+  g_test_add_data_func("/core/parser/lalr/attr_bool", GINT_TO_POINTER(PB_LALR), test_attr_bool);
+  g_test_add_data_func("/core/parser/lalr/ignore", GINT_TO_POINTER(PB_LALR), test_ignore);
+  g_test_add_data_func("/core/parser/lalr/leftrec", GINT_TO_POINTER(PB_LALR), test_leftrec);
+  g_test_add_data_func("/core/parser/lalr/rightrec", GINT_TO_POINTER(PB_LALR), test_rightrec);
+
+  g_test_add_data_func("/core/parser/glr/token", GINT_TO_POINTER(PB_GLR), test_token);
+  g_test_add_data_func("/core/parser/glr/ch", GINT_TO_POINTER(PB_GLR), test_ch);
+  g_test_add_data_func("/core/parser/glr/ch_range", GINT_TO_POINTER(PB_GLR), test_ch_range);
+  g_test_add_data_func("/core/parser/glr/int64", GINT_TO_POINTER(PB_GLR), test_int64);
+  g_test_add_data_func("/core/parser/glr/int32", GINT_TO_POINTER(PB_GLR), test_int32);
+  g_test_add_data_func("/core/parser/glr/int16", GINT_TO_POINTER(PB_GLR), test_int16);
+  g_test_add_data_func("/core/parser/glr/int8", GINT_TO_POINTER(PB_GLR), test_int8);
+  g_test_add_data_func("/core/parser/glr/uint64", GINT_TO_POINTER(PB_GLR), test_uint64);
+  g_test_add_data_func("/core/parser/glr/uint32", GINT_TO_POINTER(PB_GLR), test_uint32);
+  g_test_add_data_func("/core/parser/glr/uint16", GINT_TO_POINTER(PB_GLR), test_uint16);
+  g_test_add_data_func("/core/parser/glr/uint8", GINT_TO_POINTER(PB_GLR), test_uint8);
+  g_test_add_data_func("/core/parser/glr/int_range", GINT_TO_POINTER(PB_GLR), test_int_range);
+#if 0
+  g_test_add_data_func("/core/parser/glr/float64", GINT_TO_POINTER(PB_GLR), test_float64);
+  g_test_add_data_func("/core/parser/glr/float32", GINT_TO_POINTER(PB_GLR), test_float32);
+#endif
+  g_test_add_data_func("/core/parser/glr/whitespace", GINT_TO_POINTER(PB_GLR), test_whitespace);
+  g_test_add_data_func("/core/parser/glr/left", GINT_TO_POINTER(PB_GLR), test_left);
+  g_test_add_data_func("/core/parser/glr/right", GINT_TO_POINTER(PB_GLR), test_right);
+  g_test_add_data_func("/core/parser/glr/middle", GINT_TO_POINTER(PB_GLR), test_middle);
+  g_test_add_data_func("/core/parser/glr/action", GINT_TO_POINTER(PB_GLR), test_action);
+  g_test_add_data_func("/core/parser/glr/in", GINT_TO_POINTER(PB_GLR), test_in);
+  g_test_add_data_func("/core/parser/glr/not_in", GINT_TO_POINTER(PB_GLR), test_not_in);
+  g_test_add_data_func("/core/parser/glr/end_p", GINT_TO_POINTER(PB_GLR), test_end_p);
+  g_test_add_data_func("/core/parser/glr/nothing_p", GINT_TO_POINTER(PB_GLR), test_nothing_p);
+  g_test_add_data_func("/core/parser/glr/sequence", GINT_TO_POINTER(PB_GLR), test_sequence);
+  g_test_add_data_func("/core/parser/glr/choice", GINT_TO_POINTER(PB_GLR), test_choice);
+  g_test_add_data_func("/core/parser/glr/many", GINT_TO_POINTER(PB_GLR), test_many);
+  g_test_add_data_func("/core/parser/glr/many1", GINT_TO_POINTER(PB_GLR), test_many1);
+  g_test_add_data_func("/core/parser/glr/optional", GINT_TO_POINTER(PB_GLR), test_optional);
+  g_test_add_data_func("/core/parser/glr/sepBy", GINT_TO_POINTER(PB_GLR), test_sepBy);
+  g_test_add_data_func("/core/parser/glr/sepBy1", GINT_TO_POINTER(PB_GLR), test_sepBy1);
+  g_test_add_data_func("/core/parser/glr/epsilon_p", GINT_TO_POINTER(PB_GLR), test_epsilon_p);
+  g_test_add_data_func("/core/parser/glr/attr_bool", GINT_TO_POINTER(PB_GLR), test_attr_bool);
+  g_test_add_data_func("/core/parser/glr/ignore", GINT_TO_POINTER(PB_GLR), test_ignore);
+  g_test_add_data_func("/core/parser/glr/leftrec", GINT_TO_POINTER(PB_GLR), test_leftrec);
+  g_test_add_data_func("/core/parser/glr/rightrec", GINT_TO_POINTER(PB_GLR), test_rightrec);
+  g_test_add_data_func("/core/parser/glr/ambiguous", GINT_TO_POINTER(PB_GLR), test_ambiguous);
 }
diff --git a/src/test_suite.h b/src/test_suite.h
index 168ab641ba7968730deea69ad8aa0df09b47650c..fc008e7fb96b6524b6298f6d27e7b45e4c7c5b3a 100644
--- a/src/test_suite.h
+++ b/src/test_suite.h
@@ -153,7 +153,7 @@
   } while(0)
 
 #define g_check_stringmap_absent(table, key) do {			\
-    bool end = (key[strlen(key)-2] == '$');				\
+    bool end = (key[strlen(key)-1] == '$');				\
     if(h_stringmap_present(table, (uint8_t *)key, strlen(key), end)) {	\
       g_test_message("Check failed: \"%s\" shouldn't have been in map, but was", key); \
       g_test_fail();							\