Make anti-unification more sort-aware

package/version

@@ -1 +1 @@
-0.1.415
+0.1.416

pyproject.toml

@@ -4,7 +4,7 @@ build-backend = "poetry.core.masonry.api"
 
 [tool.poetry]
 name = "pyk"
-version = "0.1.415"
+version = "0.1.416"
 description = ""
 authors = [
     "Runtime Verification, Inc. <[email protected]>",

src/pyk/cterm.py

@@ -5,9 +5,10 @@
 from itertools import chain
 from typing import TYPE_CHECKING
 
-from .kast.inner import KApply, KInner, KRewrite, KVariable, Subst
+from .kast.inner import KApply, KInner, KRewrite, KToken, KVariable, Subst, bottom_up
 from .kast.kast import KAtt
 from .kast.manip import (
+    abstract_term_safely,
     apply_existential_substitutions,
     count_vars,
     flatten_label,
@@ -22,13 +23,16 @@
 )
 from .kast.outer import KClaim, KRule
 from .prelude.k import GENERATED_TOP_CELL
-from .prelude.ml import is_top, mlAnd, mlImplies, mlTop
+from .prelude.kbool import orBool
+from .prelude.ml import is_top, mlAnd, mlEqualsTrue, mlImplies, mlTop
 from .utils import unique
 
 if TYPE_CHECKING:
     from collections.abc import Iterable, Iterator
     from typing import Any
 
+    from .kast.outer import KDefinition
+
 
 @dataclass(frozen=True, order=True)
 class CTerm:
@@ -56,7 +60,7 @@ def from_dict(dct: dict[str, Any]) -> CTerm:
     @staticmethod
     def _check_config(config: KInner) -> None:
         if not isinstance(config, KApply) or not config.is_cell:
-            raise ValueError('Expected cell label, found: {config.label.name}')
+            raise ValueError(f'Expected cell label, found: {config}')
 
     @staticmethod
     def _normalize_constraints(constraints: Iterable[KInner]) -> tuple[KInner, ...]:
@@ -138,6 +142,59 @@ def _ml_impl(antecedents: Iterable[KInner], consequents: Iterable[KInner]) -> KI
     def add_constraint(self, new_constraint: KInner) -> CTerm:
         return CTerm(self.config, [new_constraint] + list(self.constraints))
 
+    def anti_unify(
+        self, other: CTerm, keep_values: bool = False, kdef: KDefinition | None = None
+    ) -> tuple[CTerm, CSubst, CSubst]:
+        def disjunction_from_substs(subst1: Subst, subst2: Subst) -> KInner:
+            if KToken('true', 'Bool') in [subst1.pred, subst2.pred]:
+                return mlTop()
+            return mlEqualsTrue(orBool([subst1.pred, subst2.pred]))
+
+        new_config, self_subst, other_subst = anti_unify(self.config, other.config, kdef=kdef)
+        common_constraints = [constraint for constraint in self.constraints if constraint in other.constraints]
+
+        new_cterm = CTerm(
+            config=new_config, constraints=([disjunction_from_substs(self_subst, other_subst)] if keep_values else [])
+        )
+
+        new_constraints = []
+        fvs = free_vars(new_cterm.kast)
+        len_fvs = 0
+        while len_fvs < len(fvs):
+            len_fvs = len(fvs)
+            for constraint in common_constraints:
+                if constraint not in new_constraints:
+                    constraint_fvs = free_vars(constraint)
+                    if any(fv in fvs for fv in constraint_fvs):
+                        new_constraints.append(constraint)
+                        fvs.extend(constraint_fvs)
+
+        for constraint in new_constraints:
+            new_cterm = new_cterm.add_constraint(constraint)
+        self_csubst = new_cterm.match_with_constraint(self)
+        other_csubst = new_cterm.match_with_constraint(other)
+        if self_csubst is None or other_csubst is None:
+            raise ValueError(
+                f'Anti-unification failed to produce a more general state: {(new_cterm, (self, self_csubst), (other, other_csubst))}'
+            )
+        return (new_cterm, self_csubst, other_csubst)
+
+
+def anti_unify(state1: KInner, state2: KInner, kdef: KDefinition | None = None) -> tuple[KInner, Subst, Subst]:
+    def _rewrites_to_abstractions(_kast: KInner) -> KInner:
+        if type(_kast) is KRewrite:
+            sort = kdef.sort(_kast) if kdef else None
+            return abstract_term_safely(_kast, sort=sort)
+        return _kast
+
+    minimized_rewrite = push_down_rewrites(KRewrite(state1, state2))
+    abstracted_state = bottom_up(_rewrites_to_abstractions, minimized_rewrite)
+    subst1 = abstracted_state.match(state1)
+    subst2 = abstracted_state.match(state2)
+    if subst1 is None or subst2 is None:
+        raise ValueError('Anti-unification failed to produce a more general state!')
+    return (abstracted_state, subst1, subst2)
+
 
 @dataclass(frozen=True, order=True)
 class CSubst:

src/pyk/kast/manip.py

@@ -6,7 +6,7 @@
 
 from ..prelude.k import DOTS, GENERATED_TOP_CELL
 from ..prelude.kbool import FALSE, TRUE, andBool, impliesBool, notBool, orBool
-from ..prelude.ml import mlAnd, mlEqualsTrue, mlImplies, mlOr, mlTop
+from ..prelude.ml import mlAnd, mlEqualsTrue, mlOr
 from ..utils import find_common_items, hash_str
 from .inner import KApply, KRewrite, KSequence, KToken, KVariable, Subst, bottom_up, top_down, var_occurrences
 from .kast import EMPTY_ATT, KAtt, WithKAtt
@@ -582,58 +582,6 @@ def _abstract(k: KInner) -> KVariable:
     return new_var
 
 
-def anti_unify(state1: KInner, state2: KInner) -> tuple[KInner, Subst, Subst]:
-    def _rewrites_to_abstractions(_kast: KInner) -> KInner:
-        if type(_kast) is KRewrite:
-            return abstract_term_safely(_kast)
-        return _kast
-
-    minimized_rewrite = push_down_rewrites(KRewrite(state1, state2))
-    abstracted_state = bottom_up(_rewrites_to_abstractions, minimized_rewrite)
-    subst1 = abstracted_state.match(state1)
-    subst2 = abstracted_state.match(state2)
-    if subst1 is None or subst2 is None:
-        raise ValueError('Anti-unification failed to produce a more general state!')
-    return (abstracted_state, subst1, subst2)
-
-
-def anti_unify_with_constraints(
-    constrained_term_1: KInner,
-    constrained_term_2: KInner,
-    implications: bool = False,
-    constraint_disjunct: bool = False,
-    abstracted_disjunct: bool = False,
-) -> KInner:
-    def disjunction_from_substs(subst1: Subst, subst2: Subst) -> KInner:
-        if KToken('true', 'Bool') in [subst1.pred, subst2.pred]:
-            return mlTop()
-        return mlEqualsTrue(orBool([subst1.pred, subst2.pred]))
-
-    state1, constraint1 = split_config_and_constraints(constrained_term_1)
-    state2, constraint2 = split_config_and_constraints(constrained_term_2)
-    constraints1 = flatten_label('#And', constraint1)
-    constraints2 = flatten_label('#And', constraint2)
-    state, subst1, subst2 = anti_unify(state1, state2)
-
-    constraints = [c for c in constraints1 if c in constraints2]
-    constraint1 = mlAnd([c for c in constraints1 if c not in constraints])
-    constraint2 = mlAnd([c for c in constraints2 if c not in constraints])
-    implication1 = mlImplies(constraint1, subst1.ml_pred)
-    implication2 = mlImplies(constraint2, subst2.ml_pred)
-
-    if abstracted_disjunct:
-        constraints.append(disjunction_from_substs(subst1, subst2))
-
-    if implications:
-        constraints.append(implication1)
-        constraints.append(implication2)
-
-    if constraint_disjunct:
-        constraints.append(mlOr([constraint1, constraint2]))
-
-    return mlAnd([state] + constraints)
-
-
 def apply_existential_substitutions(constrained_term: KInner) -> KInner:
     state, constraint = split_config_and_constraints(constrained_term)
     constraints = flatten_label('#And', constraint)

src/pyk/kast/outer.py

@@ -1101,8 +1101,11 @@ def sort(self, kast: KInner) -> KSort | None:
             case KToken(_, sort) | KVariable(_, sort):
                 return sort
             case KRewrite(lhs, rhs):
-                sort = self.sort(lhs)
-                return sort if sort == self.sort(rhs) else None
+                lhs_sort = self.sort(lhs)
+                rhs_sort = self.sort(rhs)
+                if lhs_sort and rhs_sort:
+                    return self.least_common_supersort(lhs_sort, rhs_sort)
+                return None
             case KSequence(_):
                 return KSort('K')
             case KApply(label, _):
@@ -1128,13 +1131,26 @@ def sort_strict(self, kast: KInner) -> KSort:
             raise ValueError(f'Could not determine sort of term: {kast}')
         return sort
 
+    def least_common_supersort(self, sort1: KSort, sort2: KSort) -> KSort | None:
+        if sort1 == sort2:
+            return sort1
+        if sort1 in self.subsorts(sort2):
+            return sort2
+        if sort2 in self.subsorts(sort1):
+            return sort1
+        # Computing least common supersort is not currently supported if sort1 is not a subsort of sort2 or
+        # vice versa. In that case there may be more than one LCS.
+        return None
+
     def greatest_common_subsort(self, sort1: KSort, sort2: KSort) -> KSort | None:
         if sort1 == sort2:
             return sort1
         if sort1 in self.subsorts(sort2):
             return sort1
         if sort2 in self.subsorts(sort1):
             return sort2
+        # Computing greatest common subsort is not currently supported if sort1 is not a subsort of sort2 or
+        # vice versa. In that case there may be more than one GCS.
         return None
 
     # Sorts like Int cannot be injected directly into sort K so they are embedded in a KSequence.

src/tests/integration/kcfg/test_imp.py

@@ -8,10 +8,10 @@
 
 from pyk.cterm import CSubst, CTerm
 from pyk.kast.inner import KApply, KSequence, KSort, KToken, KVariable, Subst
-from pyk.kast.manip import minimize_term
+from pyk.kast.manip import get_cell, minimize_term
 from pyk.kcfg.semantics import KCFGSemantics
 from pyk.kcfg.show import KCFGShow
-from pyk.prelude.kbool import BOOL, notBool
+from pyk.prelude.kbool import BOOL, notBool, orBool
 from pyk.prelude.kint import intToken
 from pyk.prelude.ml import mlAnd, mlBottom, mlEqualsFalse, mlEqualsTrue, mlTop
 from pyk.proof import APRBMCProof, APRBMCProver, APRProof, APRProver, ProofStatus
@@ -1147,3 +1147,137 @@ def test_fail_fast(
         assert len(proof.pending) == 1
         assert len(proof.terminal) == 1
         assert len(proof.failing) == 1
+
+    def test_anti_unify_forget_values(
+        self,
+        kcfg_explore: KCFGExplore,
+        kprint: KPrint,
+    ) -> None:
+        cterm1 = self.config(
+            kprint=kprint,
+            k='int $n ; { }',
+            state='N |-> X:Int',
+            constraint=mlAnd(
+                [
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('K', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('N', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('X', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('Y', 'Int'), KToken('1', 'Int')])),
+                ]
+            ),
+        )
+        cterm2 = self.config(
+            kprint=kprint,
+            k='int $n ; { }',
+            state='N |-> Y:Int',
+            constraint=mlAnd(
+                [
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('K', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('N', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('X', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('Y', 'Int'), KToken('1', 'Int')])),
+                ]
+            ),
+        )
+
+        anti_unifier, subst1, subst2 = cterm1.anti_unify(cterm2, keep_values=False, kdef=kprint.definition)
+
+        k_cell = get_cell(anti_unifier.kast, 'STATE_CELL')
+        assert type(k_cell) is KApply
+        assert k_cell.label.name == '_|->_'
+        assert type(k_cell.args[1]) is KVariable
+        abstracted_var: KVariable = k_cell.args[1]
+
+        expected_anti_unifier = self.config(
+            kprint=kprint,
+            k='int $n ; { }',
+            state=f'N |-> {abstracted_var.name}:Int',
+            constraint=mlEqualsTrue(KApply('_>Int_', [KVariable('N', 'Int'), KToken('1', 'Int')])),
+        )
+
+        assert anti_unifier.kast == expected_anti_unifier.kast
+
+    def test_anti_unify_keep_values(
+        self,
+        kcfg_explore: KCFGExplore,
+        kprint: KPrint,
+    ) -> None:
+        cterm1 = self.config(
+            kprint=kprint,
+            k='int $n ; { }',
+            state='N |-> X:Int',
+            constraint=mlAnd(
+                [
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('K', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('N', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('X', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('Y', 'Int'), KToken('1', 'Int')])),
+                ]
+            ),
+        )
+        cterm2 = self.config(
+            kprint=kprint,
+            k='int $n ; { }',
+            state='N |-> Y:Int',
+            constraint=mlAnd(
+                [
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('K', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('N', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('X', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('Y', 'Int'), KToken('1', 'Int')])),
+                ]
+            ),
+        )
+
+        anti_unifier, subst1, subst2 = cterm1.anti_unify(cterm2, keep_values=True, kdef=kprint.definition)
+
+        k_cell = get_cell(anti_unifier.kast, 'STATE_CELL')
+        assert type(k_cell) is KApply
+        assert k_cell.label.name == '_|->_'
+        assert type(k_cell.args[1]) is KVariable
+        abstracted_var: KVariable = k_cell.args[1]
+
+        expected_anti_unifier = self.config(
+            kprint=kprint,
+            k='int $n ; { }',
+            state=f'N |-> {abstracted_var.name}:Int',
+            constraint=mlAnd(
+                [
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('N', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('X', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(KApply('_>Int_', [KVariable('Y', 'Int'), KToken('1', 'Int')])),
+                    mlEqualsTrue(
+                        orBool(
+                            [
+                                KApply('_==K_', [KVariable(name=abstracted_var.name), KVariable('X', 'Int')]),
+                                KApply('_==K_', [KVariable(name=abstracted_var.name), KVariable('Y', 'Int')]),
+                            ]
+                        )
+                    ),
+                ]
+            ),
+        )
+
+        assert anti_unifier.kast == expected_anti_unifier.kast
+
+    def test_anti_unify_subst_true(
+        self,
+        kcfg_explore: KCFGExplore,
+        kprint: KPrint,
+    ) -> None:
+        cterm1 = self.config(
+            kprint=kprint,
+            k='int $n ; { }',
+            state='N |-> 0',
+            constraint=mlEqualsTrue(KApply('_==K_', [KVariable('N', 'Int'), KToken('1', 'Int')])),
+        )
+        cterm2 = self.config(
+            kprint=kprint,
+            k='int $n ; { }',
+            state='N |-> 0',
+            constraint=mlEqualsTrue(KApply('_==K_', [KVariable('N', 'Int'), KToken('1', 'Int')])),
+        )
+
+        anti_unifier, _, _ = cterm1.anti_unify(cterm2, keep_values=True, kdef=kprint.definition)
+
+        assert anti_unifier.kast == cterm1.kast