* http://helm.cs.unibo.it/
*)
-type substitution
+type rule = SuperpositionRight | SuperpositionLeft | Demodulation
-type rule = SuperpositionRight | SuperpositionLeft |Demodulation
+(* every equality group has its own bag. the bag contains the infos necessary
+ * for building the proof. FIXME: should also contain maxmeta! *)
+type equality_bag
-type equality
+val mk_equality_bag: unit -> equality_bag
-and proof = new_proof * old_proof
+type equality
-and new_proof =
+and proof =
Exact of Cic.term
- | Step of substitution * (rule * int * (Utils.pos * int) * Cic.term)
-
-and old_proof =
- NoProof
- | BasicProof of substitution * Cic.term
- | ProofBlock of substitution * UriManager.uri * (Cic.name * Cic.term) *
- Cic.term * (Utils.pos * equality) * old_proof
- | ProofGoalBlock of old_proof * old_proof
- | ProofSymBlock of Cic.term list * old_proof
- | SubProof of Cic.term * int * old_proof
-
-and goal_proof = (Utils.pos * int * substitution * Cic.term) list
-
-val pp_proof: (Cic.name option) list -> goal_proof -> string
-
-val empty_subst : substitution
-val apply_subst : substitution -> Cic.term -> Cic.term
-val apply_subst_metasenv : substitution -> Cic.metasenv -> Cic.metasenv
-val ppsubst : substitution -> string
-val buildsubst :
- int -> Cic.context -> Cic.term -> Cic.term -> substitution ->
- substitution
-val flatten_subst : substitution -> substitution
-val lookup_subst : Cic.term -> substitution -> Cic.term
-val filter : substitution -> Cic.metasenv -> Cic.metasenv
-val is_in_subst : int -> substitution -> bool
-val merge_subst_if_possible:
- substitution -> substitution ->
- substitution option
-
-val reset : unit -> unit
+ | Step of Subst.substitution * (rule * int * (Utils.pos * int) * Cic.term)
+
+and goal_proof = (rule * Utils.pos * int * Subst.substitution * Cic.term) list
+
+type goal = goal_proof * Cic.metasenv * Cic.term
+
+val pp_proof:
+ equality_bag ->
+ (Cic.name option) list -> goal_proof -> proof -> Subst.substitution -> int ->
+ Cic.term -> string
+val draw_proof:
+ equality_bag ->
+ (Cic.name option) list -> goal_proof -> proof -> int -> unit
+
+val pp_proofterm: Cic.term -> string
+
+val mk_eq_ind :
+ UriManager.uri ->
+ Cic.term ->
+ Cic.term ->
+ Cic.term ->
+ Cic.term ->
+ Cic.term ->
+ Cic.term ->
+ Cic.term
+
val mk_equality :
- int * proof *
+ equality_bag -> int * proof *
(Cic.term * Cic.term * Cic.term * Utils.comparison) *
Cic.metasenv ->
equality
+
+val mk_tmp_equality :
+ int * (Cic.term * Cic.term * Cic.term * Utils.comparison) * Cic.metasenv ->
+ equality
val open_equality :
equality ->
int * proof *
(Cic.term * Cic.term * Cic.term * Utils.comparison) *
Cic.metasenv * int
+val depend : equality_bag -> equality -> int -> bool
val compare : equality -> equality -> int
-val string_of_equality : ?env:Utils.environment -> equality -> string
-val string_of_proof_old : ?names:(Cic.name option)list -> old_proof -> string
-val string_of_proof_new :
- ?names:(Cic.name option)list -> new_proof -> goal_proof -> string
-val build_proof_term_new: new_proof -> Cic.term
-val build_proof_term_old: ?noproof:Cic.term -> old_proof -> Cic.term
-val build_goal_proof: goal_proof -> Cic.term -> Cic.term
-val refl_proof: Cic.term -> Cic.term -> Cic.term
+val max_weight_in_proof : equality_bag -> int -> proof -> int
+val max_weight : equality_bag -> goal_proof -> proof -> int
+val string_of_equality :
+ ?env:Utils.environment -> equality -> string
+val string_of_proof :
+ ?names:(Cic.name option)list -> equality_bag -> proof -> goal_proof -> string
+(* given a proof and a list of meta indexes we are interested in the
+ * instantiation gives back the cic proof and the list of instantiations *)
+(* build_goal_proof [eq_URI] [goal_proof] [initial_proof] [ty]
+ * [ty] is the type of the goal *)
+val build_goal_proof:
+ ?contextualize:bool ->
+ ?forward:bool ->
+ equality_bag ->
+ UriManager.uri -> goal_proof -> proof -> Cic.term-> int list ->
+ Cic.context -> Cic.metasenv ->
+ Cic.term * Cic.term list
+val build_proof_term :
+ equality_bag ->
+ UriManager.uri -> (int * Cic.term) list -> int -> proof -> Cic.term
+val refl_proof: UriManager.uri -> Cic.term -> Cic.term -> Cic.term
(** ensures that metavariables in equality are unique *)
-val fix_metas: int -> equality -> int * equality
-val metas_of_proof: proof -> int list
+val fix_metas_goal: int -> goal -> int * goal
+val fix_metas: equality_bag -> int -> equality -> int * equality
+val metas_of_proof: equality_bag -> proof -> int list
+(* this should be used _only_ to apply (efficiently) this subst on the
+ * initial proof passed to build_goal_proof *)
+val add_subst : Subst.substitution -> proof -> proof
exception TermIsNotAnEquality;;
(**
raises TermIsNotAnEquality if term is not an equation.
The first Cic.term is a proof of the equation
*)
-val equality_of_term: Cic.term -> Cic.term -> equality
+val equality_of_term: equality_bag -> Cic.term -> Cic.term -> equality
(**
Re-builds the term corresponding to this equality
*)
-val term_of_equality: equality -> Cic.term
+val term_of_equality: UriManager.uri -> equality -> Cic.term
val term_is_equality: Cic.term -> bool
(** tests a sort of alpha-convertibility between the two terms, but on the
(** meta convertibility between two equations *)
val meta_convertibility_eq: equality -> equality -> bool
+val meta_convertibility_subst:
+ Cic.term -> Cic.term -> Cic.metasenv -> Cic.substitution option
val is_weak_identity: equality -> bool
val is_identity: Utils.environment -> equality -> bool
+(* symmetric [eq_ty] [l] [id] [uri] [m]
+ *
+ * given an equality (_,p,(_,[l],r,_),[m],[id]) of 'type' l=r
+ * returns the proof of the symmetric (r=l).
+ *
+ * [uri] is the uri of eq
+ * [eq_ty] the ty of the equality sides
+ *)
+val symmetric:
+ equality_bag -> Cic.term -> Cic.term -> int -> UriManager.uri ->
+ Cic.metasenv -> proof
+
+(* takes 3 lists of alive ids (they are threated the same way, the type is
+ * funny just to not oblige you to concatenate them) and drops all the dead
+ * equalities *)
+val collect: equality_bag -> int list -> int list -> int list -> unit
+
+(* given an equality, returns the numerical id *)
+val id_of: equality -> int
+
+(* profiling statistics *)
+val get_stats: unit -> string
+