* http://helm.cs.unibo.it/
*)
-open Printf
-
-module Constr = MetadataConstraints
-module PET = ProofEngineTypes
-
-let debug_print = fun _ -> ()
+(* $Id$ *)
- (** maps a shell like pattern (which uses '*' and '?') to a sql pattern for
- * the "like" operator (which uses '%' and '_'). Does not support escaping. *)
-let sqlpat_of_shellglob =
- let star_RE, qmark_RE, percent_RE, uscore_RE =
- Pcre.regexp "\\*", Pcre.regexp "\\?", Pcre.regexp "%", Pcre.regexp "_"
- in
- fun shellglob ->
- Pcre.replace ~rex:star_RE ~templ:"%"
- (Pcre.replace ~rex:qmark_RE ~templ:"_"
- (Pcre.replace ~rex:percent_RE ~templ:"\\%"
- (Pcre.replace ~rex:uscore_RE ~templ:"\\_"
- shellglob)))
+open Printf
let nonvar uri = not (UriManager.uri_is_var uri)
-let locate ~(dbd:Mysql.dbd) ?(vars = false) pat =
- let sql_pat = sqlpat_of_shellglob pat in
- let query =
- sprintf ("SELECT source FROM %s WHERE value LIKE \"%s\" UNION "^^
- "SELECT source FROM %s WHERE value LIKE \"%s\"")
- (MetadataTypes.name_tbl ()) sql_pat
- MetadataTypes.library_name_tbl sql_pat
- in
- let result = Mysql.exec dbd query in
- List.filter nonvar
- (Mysql.map result
- (fun cols -> match cols.(0) with Some s -> UriManager.uri_of_string s | _ -> assert false))
+module Constr = MetadataConstraints
-let match_term ~(dbd:Mysql.dbd) ty =
-(* debug_print (CicPp.ppterm ty); *)
- let metadata = MetadataExtractor.compute ~body:None ~ty in
- let constants_no =
- MetadataConstraints.UriManagerSet.cardinal (MetadataConstraints.constants_of ty)
- in
- let full_card, diff =
- if CicUtil.is_meta_closed ty then
- Some (MetadataConstraints.Eq constants_no), None
- else
- let diff_no =
- let (hyp_constants, concl_constants) =
- (* collect different constants in hypotheses and conclusions *)
- List.fold_left
- (fun ((hyp, concl) as acc) metadata ->
- match (metadata: MetadataTypes.metadata) with
- | `Sort _ | `Rel _ -> acc
- | `Obj (uri, `InConclusion) | `Obj (uri, `MainConclusion _)
- when not (List.mem uri concl) -> (hyp, uri :: concl)
- | `Obj (uri, `InHypothesis) | `Obj (uri, `MainHypothesis _)
- when not (List.mem uri hyp) -> (uri :: hyp, concl)
- | `Obj _ -> acc)
- ([], [])
- metadata
- in
- List.length hyp_constants - List.length concl_constants
- in
- let (concl_metas, hyp_metas) = MetadataExtractor.compute_metas ty in
- let diff =
- if MetadataExtractor.IntSet.equal concl_metas hyp_metas then
- Some (MetadataConstraints.Eq diff_no)
- else if MetadataExtractor.IntSet.subset concl_metas hyp_metas then
- Some (MetadataConstraints.Gt (diff_no - 1))
- else if MetadataExtractor.IntSet.subset hyp_metas concl_metas then
- Some (MetadataConstraints.Lt (diff_no + 1))
- else
- None
- in
- None, diff
- in
- let constraints = List.map MetadataTypes.constr_of_metadata metadata in
- Constr.at_least ~dbd ?full_card ?diff constraints
+exception Goal_is_not_an_equation
+
+let debug = false
+let debug_print s = if debug then prerr_endline (Lazy.force s)
let ( ** ) x y = int_of_float ((float_of_int x) ** (float_of_int y))
let inter = Constr.UriManagerSet.inter set1 set2 in
List.filter (fun s -> Constr.UriManagerSet.mem s inter) uris
+(* Profiling code
+let at_most =
+ let profiler = CicUtil.profile "at_most" in
+ fun ~dbd ~where uri -> profiler.profile (Constr.at_most ~dbd ~where) uri
+
+let sigmatch =
+ let profiler = CicUtil.profile "sigmatch" in
+ fun ~dbd ~facts ~where signature ->
+ profiler.profile (MetadataConstraints.sigmatch ~dbd ~facts ~where) signature
+*)
+let at_most = Constr.at_most
+let sigmatch = MetadataConstraints.sigmatch
+
let filter_uris_forward ~dbd (main, constants) uris =
let main_uris =
match main with
let full_signature =
List.fold_right Constr.UriManagerSet.add main_uris constants
in
- List.filter (Constr.at_most ~dbd ~where:`Statement full_signature) uris
+ List.filter (at_most ~dbd ~where:`Statement full_signature) uris
let filter_uris_backward ~dbd ~facts signature uris =
let siguris =
List.map snd
- (MetadataConstraints.sigmatch ~dbd ~facts ~where:`Statement signature)
+ (sigmatch ~dbd ~facts ~where:`Statement signature)
in
intersect uris siguris
in
prop1 - prop2
-let hint ~(dbd:Mysql.dbd) ?(facts=false) ?signature ((proof, goal) as status) =
- let (_, metasenv, _, _) = proof in
- let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
- let (uris, (main, sig_constants)) =
- match signature with
- | Some signature -> (Constr.sigmatch ~dbd ~facts signature, signature)
- | None -> (Constr.cmatch' ~dbd ~facts ty, Constr.signature_of ty)
- in
- let uris = List.filter nonvar (List.map snd uris) in
- let uris = List.filter Hashtbl_equiv.not_a_duplicate uris in
- let types_constants =
- match main with
- | None -> Constr.UriManagerSet.empty
- | Some (main, types) ->
- List.fold_right Constr.UriManagerSet.add (main :: types)
- Constr.UriManagerSet.empty
- in
- let hyp_constants =
- Constr.UriManagerSet.diff (signature_of_hypothesis context) types_constants
- in
-(* Constr.UriManagerSet.iter debug_print hyp_constants; *)
- let other_constants = Constr.UriManagerSet.union sig_constants hyp_constants in
- let uris =
- let pow = 2 ** (Constr.UriManagerSet.cardinal other_constants) in
- if ((List.length uris < pow) or (pow <= 0))
- then begin
-(* debug_print "MetadataQuery: large sig, falling back to old method"; *)
- filter_uris_forward ~dbd (main, other_constants) uris
- end else
- filter_uris_backward ~dbd ~facts (main, other_constants) uris
- in
- let rec aux = function
- | [] -> []
- | uri :: tl ->
- (let status' =
- try
- let (proof, goal_list) =
-(* debug_print ("STO APPLICANDO " ^ uri); *)
- PET.apply_tactic
- (PrimitiveTactics.apply_tac
- ~term:(CicUtil.term_of_uri uri))
- status
- in
- let goal_list =
- List.stable_sort (compare_goal_list proof) goal_list
- in
- Some (uri, (proof, goal_list))
- with ProofEngineTypes.Fail _ -> None
- in
- match status' with
- | None -> aux tl
- | Some status' ->
- status' :: aux tl)
- in
- List.stable_sort
- (fun (_, (_, goals1)) (_, (_, goals2)) ->
- Pervasives.compare (List.length goals1) (List.length goals2))
- (aux uris)
-
(* experimental_hint is a version of hint for experimental
purposes. It uses auto_tac_verbose instead of auto tac.
Auto_tac verbose also returns a substitution - for the moment
Constr.UriManagerSet.union bag (Constr.constants_of ty))
s s
+let close_with_constructors s metasenv context =
+ Constr.UriManagerSet.fold
+ (fun e bag ->
+ let t = CicUtil.term_of_uri e in
+ match t with
+ Cic.MutInd (uri,_,_)
+ | Cic.MutConstruct (uri,_,_,_) ->
+ (match fst (CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
+ Cic.InductiveDefinition(tl,_,_,_) ->
+ snd
+ (List.fold_left
+ (fun (i,s) (_,_,_,cl) ->
+ let _,s =
+ List.fold_left
+ (fun (j,s) _ ->
+ let curi = UriManager.uri_of_uriref uri i (Some j) in
+ j+1,Constr.UriManagerSet.add curi s) (1,s) cl in
+ (i+1,s)) (0,bag) tl)
+ | _ -> assert false)
+ | _ -> bag)
+ s s
+
+(* Profiling code
+let apply_tac_verbose =
+ let profiler = CicUtil.profile "apply_tac_verbose" in
+ fun ~term status -> profiler.profile (PrimitiveTactics.apply_tac_verbose ~term) status
+
+let sigmatch =
+ let profiler = CicUtil.profile "sigmatch" in
+ fun ~dbd ~facts ?(where=`Conclusion) signature -> profiler.profile (Constr.sigmatch ~dbd ~facts ~where) signature
+
+let cmatch' =
+ let profiler = CicUtil.profile "cmatch'" in
+ fun ~dbd ~facts signature -> profiler.profile (Constr.cmatch' ~dbd ~facts) signature
+*)
+let apply_tac_verbose = PrimitiveTactics.apply_tac_verbose
+let cmatch' = Constr.cmatch'
+
+let signature_of_goal ~(dbd:HMysql.dbd) ((proof, goal) as _status) =
+ let (_, metasenv, _, _) = proof in
+ let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
+ let main, sig_constants = Constr.signature_of ty in
+ let set = signature_of_hypothesis context in
+ let set =
+ match main with
+ None -> set
+ | Some (main,l) ->
+ List.fold_right Constr.UriManagerSet.add (main::l) set in
+ let set = Constr.UriManagerSet.union set sig_constants in
+ let all_constants_closed = close_with_types set metasenv context in
+ let uris =
+ sigmatch ~dbd ~facts:false ~where:`Statement (None,all_constants_closed) in
+ let uris = List.filter nonvar (List.map snd uris) in
+ let uris = List.filter Hashtbl_equiv.not_a_duplicate uris in
+ uris
+
+let equations_for_goal ~(dbd:HMysql.dbd) ((proof, goal) as _status) =
+(* let to_string set =
+ "{ " ^
+ (String.concat ", "
+ (Constr.UriManagerSet.fold
+ (fun u l -> (UriManager.string_of_uri u)::l) set []))
+ ^ " }"
+ in *)
+ let (_, metasenv, _, _) = proof in
+ let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
+ let main, sig_constants = Constr.signature_of ty in
+(* Printf.printf "\nsig_constants: %s\n\n" (to_string sig_constants); *)
+(* match main with *)
+(* None -> raise Goal_is_not_an_equation *)
+(* | Some (m,l) -> *)
+ let m, l =
+ let eq_URI =
+ let us = UriManager.string_of_uri (LibraryObjects.eq_URI ()) in
+ UriManager.uri_of_string (us ^ "#xpointer(1/1)")
+ in
+ match main with
+ | None -> eq_URI, []
+ | Some (m, l) when UriManager.eq m eq_URI -> m, l
+ | Some (m, l) -> eq_URI, []
+ in
+ Printf.printf "\nSome (m, l): %s, [%s]\n\n"
+ (UriManager.string_of_uri m)
+ (String.concat "; " (List.map UriManager.string_of_uri l));
+ (* if m == UriManager.uri_of_string HelmLibraryObjects.Logic.eq_XURI then ( *)
+ let set = signature_of_hypothesis context in
+ (* Printf.printf "\nsignature_of_hypothesis: %s\n\n" (to_string set); *)
+ let set = Constr.UriManagerSet.union set sig_constants in
+ let set = close_with_types set metasenv context in
+ (* Printf.printf "\ndopo close_with_types: %s\n\n" (to_string set); *)
+ let set = close_with_constructors set metasenv context in
+ (* Printf.printf "\ndopo close_with_constructors: %s\n\n" (to_string set); *)
+ let set = List.fold_right Constr.UriManagerSet.remove (m::l) set in
+ let uris =
+ sigmatch ~dbd ~facts:false ~where:`Statement (main,set) in
+ let uris = List.filter nonvar (List.map snd uris) in
+ let uris = List.filter Hashtbl_equiv.not_a_duplicate uris in
+ uris
+ (* ) *)
+ (* else raise Goal_is_not_an_equation *)
+
let experimental_hint
- ~(dbd:Mysql.dbd) ?(facts=false) ?signature ((proof, goal) as status) =
+ ~(dbd:HMysql.dbd) ?(facts=false) ?signature ((proof, goal) as status) =
let (_, metasenv, _, _) = proof in
let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
let (uris, (main, sig_constants)) =
match signature with
| Some signature ->
- (Constr.sigmatch ~dbd ~facts signature, signature)
+ (sigmatch ~dbd ~facts signature, signature)
| None ->
- (Constr.cmatch' ~dbd ~facts ty, Constr.signature_of ty)
+ (cmatch' ~dbd ~facts ty, Constr.signature_of ty)
in
let uris = List.filter nonvar (List.map snd uris) in
let uris = List.filter Hashtbl_equiv.not_a_duplicate uris in
let other_constants =
Constr.UriManagerSet.diff all_constants_closed types_constants
in
- debug_print "all_constants_closed";
- Constr.UriManagerSet.iter debug_print all_constants_closed;
- debug_print "other_constants";
- Constr.UriManagerSet.iter debug_print other_constants;
+ debug_print (lazy "all_constants_closed");
+ if debug then Constr.UriManagerSet.iter (fun s -> debug_print (lazy (UriManager.string_of_uri s))) all_constants_closed;
+ debug_print (lazy "other_constants");
+ if debug then Constr.UriManagerSet.iter (fun s -> debug_print (lazy (UriManager.string_of_uri s))) other_constants;
let uris =
let pow = 2 ** (Constr.UriManagerSet.cardinal other_constants) in
if ((List.length uris < pow) or (pow <= 0))
then begin
- debug_print "MetadataQuery: large sig, falling back to old method";
+ debug_print (lazy "MetadataQuery: large sig, falling back to old method");
filter_uris_forward ~dbd (main, other_constants) uris
end else
filter_uris_backward ~dbd ~facts (main, other_constants) uris
(let status' =
try
let (subst,(proof, goal_list)) =
- (* debug_print ("STO APPLICANDO" ^ uri); *)
- PrimitiveTactics.apply_tac_verbose
+ (* debug_print (lazy ("STO APPLICANDO" ^ uri)); *)
+ apply_tac_verbose
~term:(CicUtil.term_of_uri uri)
status
in
Pervasives.compare (List.length goals1) (List.length goals2))
(aux uris)
-let elim ~dbd uri =
- let constraints =
- [`Rel [`MainConclusion None];
- `Sort (Cic.Prop,[`MainHypothesis (Some (MetadataTypes.Ge 1))]);
- `Obj (uri,[`MainHypothesis (Some (MetadataTypes.Eq 0))]);
- `Obj (uri,[`InHypothesis]);
- ]
- in
- MetadataConstraints.at_least ~rating:`Hits ~dbd constraints
-
-
-let fill_with_dummy_constants t =
- let rec aux i types =
- function
- Cic.Lambda (n,s,t) ->
- let dummy_uri =
- UriManager.uri_of_string ("cic:/dummy_"^(string_of_int i)) in
- (aux (i+1) (s::types)
- (CicSubstitution.subst (Cic.Const(dummy_uri,[])) t))
- | t -> t,types
- in
- let t,types = aux 0 [] t in
- t, List.rev types
-
-let instance ~dbd t =
- let t',types = fill_with_dummy_constants t in
- let metadata = MetadataExtractor.compute ~body:None ~ty:t' in
-(* List.iter
- (fun x ->
- debug_print
- (MetadataPp.pp_constr (MetadataTypes.constr_of_metadata x)))
- metadata; *)
- let no_concl = MetadataDb.count_distinct `Conclusion metadata in
- let no_hyp = MetadataDb.count_distinct `Hypothesis metadata in
- let no_full = MetadataDb.count_distinct `Statement metadata in
- let is_dummy = function
- | `Obj(s, _) -> (String.sub (UriManager.string_of_uri s) 0 10) <> "cic:/dummy"
- | _ -> true
- in
- let rec look_for_dummy_main = function
- | [] -> None
- | `Obj(s,`MainConclusion (Some (MetadataTypes.Eq d)))::_
- when (String.sub (UriManager.string_of_uri s) 0 10 = "cic:/dummy") ->
- let s = UriManager.string_of_uri s in
- let len = String.length s in
- let dummy_index = int_of_string (String.sub s 11 (len-11)) in
- let dummy_type = List.nth types dummy_index in
- Some (d,dummy_type)
- | _::l -> look_for_dummy_main l
+let new_experimental_hint
+ ~(dbd:HMysql.dbd) ?(facts=false) ?signature ~universe
+ ((proof, goal) as status)
+=
+ let (_, metasenv, _, _) = proof in
+ let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
+ let (uris, (main, sig_constants)) =
+ match signature with
+ | Some signature ->
+ (sigmatch ~dbd ~facts signature, signature)
+ | None ->
+ (cmatch' ~dbd ~facts ty, Constr.signature_of ty) in
+ let universe =
+ List.fold_left
+ (fun res u -> Constr.UriManagerSet.add u res)
+ Constr.UriManagerSet.empty universe in
+ let uris =
+ List.fold_left
+ (fun res (_,u) -> Constr.UriManagerSet.add u res)
+ Constr.UriManagerSet.empty uris in
+ let uris = Constr.UriManagerSet.inter uris universe in
+ let uris = Constr.UriManagerSet.elements uris in
+ let rec aux = function
+ | [] -> []
+ | uri :: tl ->
+ (let status' =
+ try
+ let (subst,(proof, goal_list)) =
+ (* debug_print (lazy ("STO APPLICANDO" ^ uri)); *)
+ apply_tac_verbose
+ ~term:(CicUtil.term_of_uri uri)
+ status
+ in
+ let goal_list =
+ List.stable_sort (compare_goal_list proof) goal_list
+ in
+ Some (uri, (subst,(proof, goal_list)))
+ with ProofEngineTypes.Fail _ -> None
+ in
+ match status' with
+ | None -> aux tl
+ | Some status' -> status' :: aux tl)
in
- match (look_for_dummy_main metadata) with
- | None->
-(* debug_print "Caso None"; *)
- (* no dummy in main position *)
- let metadata = List.filter is_dummy metadata in
- let constraints = List.map MetadataTypes.constr_of_metadata metadata in
- let concl_card = Some (MetadataConstraints.Eq no_concl) in
- let full_card = Some (MetadataConstraints.Eq no_full) in
- let diff = Some (MetadataConstraints.Eq (no_hyp - no_concl)) in
- Constr.at_least ~dbd ?concl_card ?full_card ?diff constraints
- | Some (depth, dummy_type) ->
-(* debug_print
- (sprintf "Caso Some %d %s" depth (CicPp.ppterm dummy_type)); *)
- (* a dummy in main position *)
- let metadata_for_dummy_type =
- MetadataExtractor.compute ~body:None ~ty:dummy_type in
- (* Let us skip this for the moment
- let main_of_dummy_type =
- look_for_dummy_main metadata_for_dummy_type in *)
- let metadata = List.filter is_dummy metadata in
- let constraints = List.map MetadataTypes.constr_of_metadata metadata in
- let metadata_for_dummy_type =
- List.filter is_dummy metadata_for_dummy_type in
- let metadata_for_dummy_type, depth' =
- (* depth' = the depth of the A -> A -> Prop *)
- List.fold_left (fun (acc,dep) c ->
- match c with
- | `Sort (s,`MainConclusion (Some (MetadataTypes.Eq i))) ->
- (`Sort (s,`MainConclusion (Some (MetadataTypes.Ge i))))::acc, i
- | `Obj (s,`MainConclusion (Some (MetadataTypes.Eq i))) ->
- (`Obj (s,`MainConclusion (Some (MetadataTypes.Ge i))))::acc, i
- | `Rel (`MainConclusion (Some (MetadataTypes.Eq i))) ->
- (`Rel (`MainConclusion (Some (MetadataTypes.Ge i))))::acc, i
- | _ -> (c::acc,dep)) ([],0) metadata_for_dummy_type
- in
- let constraints_for_dummy_type =
- List.map MetadataTypes.constr_of_metadata metadata_for_dummy_type in
- (* start with the dummy constant in main conlusion *)
- let from = ["refObj as table0"] in
- let where =
- [sprintf "table0.h_position = \"%s\"" MetadataTypes.mainconcl_pos;
- sprintf "table0.h_depth >= %d" depth] in
- let (n,from,where) =
- List.fold_left
- (MetadataConstraints.add_constraint ~start:2)
- (2,from,where) constraints in
- let concl_card = Some (MetadataConstraints.Eq no_concl) in
- let full_card = Some (MetadataConstraints.Eq no_full) in
- let diff = Some (MetadataConstraints.Eq (no_hyp - no_concl)) in
- let (n,from,where) =
- MetadataConstraints.add_all_constr
- (n,from,where) concl_card full_card diff in
- (* join with the constraints over the type of the constant *)
- let where =
- (sprintf "table0.h_occurrence = table%d.source" n)::where in
- let where =
- sprintf "table0.h_depth - table%d.h_depth = %d"
- n (depth - depth')::where
- in
- let (m,from,where) =
- List.fold_left
- (MetadataConstraints.add_constraint ~start:n)
- (n,from,where) constraints_for_dummy_type in
- Constr.exec ~dbd (m,from,where)
-
-(* fwd_simpl ****************************************************************)
-
-let rec map_filter f n = function
- | [] -> []
- | hd :: tl ->
- match f n hd with
- | None -> map_filter f (succ n) tl
- | Some hd -> hd :: map_filter f (succ n) tl
-
-let get_uri t =
- let aux = function
- | Cic.Appl (hd :: tl) -> Some (CicUtil.uri_of_term hd, tl)
- | hd -> Some (CicUtil.uri_of_term hd, [])
- in
- try aux t with
- | Invalid_argument "uri_of_term" -> None
-
-let get_metadata t =
- let f n t =
- match get_uri t with
- | None -> None
- | Some (uri, _) -> Some (n, uri)
- in
- match get_uri t with
- | None -> None
- | Some (uri, args) -> Some (uri, map_filter f 1 args)
-
-let debug_metadata = function
- | None -> ()
- | Some (outer, inners) ->
- let f (n, uri) = Printf.eprintf "%s: %i %s\n" "fwd" n uri in
- Printf.eprintf "\n%s: %s\n" "fwd" outer;
- List.iter f inners; prerr_newline ()
+ List.stable_sort
+ (fun (_,(_, (_, goals1))) (_,(_, (_, goals2))) ->
+ Pervasives.compare (List.length goals1) (List.length goals2))
+ (aux uris)
-let fwd_simpl ~dbd t =
- let map inners row =
- match row.(0), row.(1), row.(2) with
- | Some source, Some inner, Some index ->
- source,
- List.mem
- (int_of_string index, (UriManager.uri_of_string inner)) inners
- | _ -> "", false
- in
- let rec rank ranks (source, ok) =
- match ranks, ok with
- | [], false -> [source, 0]
- | [], true -> [source, 1]
- | (uri, i) :: tl, false when uri = source -> (uri, 0) :: tl
- | (uri, 0) :: tl, true when uri = source -> (uri, 0) :: tl
- | (uri, i) :: tl, true when uri = source -> (uri, succ i) :: tl
- | hd :: tl, _ -> hd :: rank tl (source, ok)
- in
- let compare (_, x) (_, y) = compare x y in
- let filter n (uri, rank) =
- if rank > 0 then Some (UriManager.uri_of_string uri) else None
- in
- match get_metadata t with
- | None -> []
- | Some (outer, inners) ->
- let select = "source, h_inner, h_index" in
- let from = "genLemma" in
- let where =
- Printf.sprintf "h_outer = \"%s\""
- (Mysql.escape (UriManager.string_of_uri outer)) in
- let query = Printf.sprintf "SELECT %s FROM %s WHERE %s" select from where in
- let result = Mysql.exec dbd query in
- let lemmas = Mysql.map result ~f:(map inners) in
- let ranked = List.fold_left rank [] lemmas in
- let ordered = List.rev (List.fast_sort compare ranked) in
- map_filter filter 0 ordered