@ -472,10 +472,6 @@ let rec canon x a =
(* Extending the carrier ================================================== *)
(* Extending the carrier ================================================== *)
let add_to_cls elt rep cls =
Trm . Map . update rep cls ~ f : ( fun elts0 ->
Cls . add elt ( Option . value elts0 ~ default : Cls . empty ) )
let add_use_of sup sub use =
let add_use_of sup sub use =
Trm . Map . update sub use ~ f : ( fun u ->
Trm . Map . update sub use ~ f : ( fun u ->
Use . add sup ( Option . value ~ default : Use . empty u ) )
Use . add sup ( Option . value ~ default : Use . empty u ) )
@ -483,33 +479,15 @@ let add_use_of sup sub use =
let add_uses_of a use =
let add_uses_of a use =
Iter . fold ~ f : ( add_use_of a ) ( Theory . solvable_trms a ) use
Iter . fold ~ f : ( add_use_of a ) ( Theory . solvable_trms a ) use
let add_eq v ~ rep : r x =
(* * [canon_extend_ a x] is [a', x'] where [x'] is [x] extended so that
[ % trace ]
[ a' = canon x' a ] . This finds [ a ] in rep or recurses and then canonizes
~ call : ( fun { pf } -> pf " @ @[%a ↦ %a@]@ %a " Trm . pp v Trm . pp r pp_raw x )
if absent , adding the canonized term [ a' ] and its subterms . * )
~ retn : ( fun { pf } ( _ , x' ) -> pf " %a " pp_raw x' )
let rec canon_extend_ a x =
@@ fun () ->
match Trm . Map . find_or_add v r x . rep with
| ` Found v' ->
(* v ↦ v' already, so v' and r are congruent but not ( yet ) equal,
therefore add pending v' = r * )
let pnd = ( v' , r ) :: x . pnd in
( v' , { x with pnd } )
| ` Added rep ->
(* v ↦ r newly added, so can directly add v = r *)
let cls = add_to_cls v r x . cls in
let use = add_uses_of v x . use in
( r , { x with rep ; cls ; use } )
(* * [find_extend_ a x] is [a', x'] where [x'] is [x] extended so that
[ a' = find_exn a x' ] . This adds [ a ] and all its subterms , normalizes [ a ]
to [ a' ] , and uses the result to find equalities needed to reestablish
congruence closure . * )
let rec find_extend_ a x =
[ % trace ]
[ % trace ]
~ call : ( fun { pf } -> pf " @ %a@ | %a " Trm . pp a pp_raw x )
~ call : ( fun { pf } -> pf " @ %a@ | %a " Trm . pp a pp_raw x )
~ retn : ( fun { pf } ( a' , x' ) ->
~ retn : ( fun { pf } ( a' , x' ) ->
pf " %a@ %a " Trm . pp a' pp_diff ( x , x' ) ;
pf " %a@ %a " Trm . pp a' pp_diff ( x , x' ) ;
assert ( Trm . equal a' ( find_check a x' ) ) )
assert ( Trm . equal a' ( canon x' a ) ) )
@@ fun () ->
@@ fun () ->
match Theory . classify a with
match Theory . classify a with
| InterpAtom -> ( a , x )
| InterpAtom -> ( a , x )
@ -518,37 +496,34 @@ let rec find_extend_ a x =
| ` Found a' -> ( a' , x )
| ` Found a' -> ( a' , x )
| ` Added rep -> ( a , { x with rep } ) )
| ` Added rep -> ( a , { x with rep } ) )
| InterpApp ->
| InterpApp ->
if Trm . Map . mem a x . rep then ( a , x )
if Trm . Map . mem a x . rep then
else Trm . fold_map ~ f : find_extend_ a x
(* optimize: a already a rep so don't need to consider subterms *)
( a , x )
else Trm . fold_map ~ f : canon_extend_ a x
| UninterpApp -> (
| UninterpApp -> (
match Trm . Map . find_or_add a a x . rep with
match Trm . Map . find a x . rep with
| ` Found a' ->
| Some a' ->
(* a already has rep a' *)
(* a already has rep a' *)
( a' , x )
( a' , x )
| None -> (
(* norm wrt rep and add subterms *)
let a_norm , x = Trm . fold_map ~ f : canon_extend_ a x in
match Trm . Map . find_or_add a_norm a_norm x . rep with
| ` Found a' ->
(* a_norm already equal to a' *)
( a' , x )
| ` Added rep ->
| ` Added rep ->
(* a now its own rep *)
(* a_norm newly added *)
let use = add_uses_of a x . use in
let use = add_uses_of a _norm x . use in
let x = { x with rep ; use } in
let x = { x with rep ; use } in
(* add subterms and norm a using ( old ) reps *)
( a_norm , x ) ) )
let a_norm , x = Trm . fold_map ~ f : find_extend_ a x in
if Trm . equal a_norm a then (* a already normalized *)
( a_norm , x )
else add_eq a_norm ~ rep : a x )
let find_extend a x =
(* * normalize and add a term to the carrier *)
let canon_extend a x =
[ % trace ]
[ % trace ]
~ call : ( fun { pf } -> pf " @ %a@ %a" Trm . pp a pp_raw x )
~ call : ( fun { pf } -> pf " @ %a@ | %a" Trm . pp a pp_raw x )
~ retn : ( fun { pf } ( a' , x' ) -> pf " %a@ %a " Trm . pp a' pp_diff ( x , x' ) )
~ retn : ( fun { pf } ( a' , x' ) -> pf " %a@ %a " Trm . pp a' pp_diff ( x , x' ) )
@@ fun () -> find_extend_ a x
@@ fun () -> canon_extend_ a x
(* * add a term to the carrier *)
let extend a x =
[ % trace ]
~ call : ( fun { pf } -> pf " @ %a@ | %a " Trm . pp a pp x )
~ retn : ( fun { pf } x' ->
pf " %a " pp_diff ( x , x' ) ;
pre_invariant x' )
@@ fun () -> snd ( find_extend a x )
(* Propagation ============================================================ *)
(* Propagation ============================================================ *)
@ -691,9 +666,8 @@ let and_eq ~wrt a b x =
@@ fun () ->
@@ fun () ->
if not x . sat then x
if not x . sat then x
else
else
let a' = canon x a in
let a' , x = canon_extend a x in
let b' = canon x b in
let b' , x = canon_extend b x in
let x = extend a' ( extend b' x ) in
if Trm . equal a' b' then x else merge ~ wrt a' b' x
if Trm . equal a' b' then x else merge ~ wrt a' b' x
let extract_xs r = ( r . xs , { r with xs = Var . Set . empty } )
let extract_xs r = ( r . xs , { r with xs = Var . Set . empty } )