X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Facic_procedural%2Facic2Procedural.ml;h=ae64d1f19af4c904e804cd3dd3fd48001c525d9b;hb=5b45f78ed4293ebbe8cc73ad925bca11a300d021;hp=c9423268ccb9d144cb1c536ee5cd258307d780b4;hpb=a9cf292e7e406a8a2cd88b8f5f84ff2d59bea5e4;p=helm.git diff --git a/helm/software/components/acic_procedural/acic2Procedural.ml b/helm/software/components/acic_procedural/acic2Procedural.ml index c9423268c..ae64d1f19 100644 --- a/helm/software/components/acic_procedural/acic2Procedural.ml +++ b/helm/software/components/acic_procedural/acic2Procedural.ml @@ -25,7 +25,6 @@ module C = Cic module I = CicInspect -module D = Deannotate module S = CicSubstitution module TC = CicTypeChecker module Un = CicUniv @@ -38,24 +37,27 @@ module E = CicEnvironment module Pp = CicPp module PEH = ProofEngineHelpers module HEL = HExtlib +module DTI = DoubleTypeInference +module NU = CicNotationUtil +module L = Librarian module Cl = ProceduralClassify module T = ProceduralTypes module Cn = ProceduralConversion +module H = ProceduralHelpers type status = { sorts : (C.id, A.sort_kind) Hashtbl.t; types : (C.id, A.anntypes) Hashtbl.t; - prefix: string; max_depth: int option; depth: int; context: C.context; - intros: string list + case: int list } -(* helpers ******************************************************************) +let debug = ref false -let cic = D.deannotate_term +(* helpers ******************************************************************) let split2_last l1 l2 = try @@ -64,7 +66,7 @@ try let before2, after2 = HEL.split_nth n l2 in before1, before2, List.hd after1, List.hd after2 with Invalid_argument _ -> failwith "A2P.split2_last" - + let string_of_head = function | C.ASort _ -> "sort" | C.AConst _ -> "const" @@ -83,12 +85,21 @@ let string_of_head = function | C.AMeta _ -> "meta" | C.AImplicit _ -> "implict" -let clear st = {st with intros = []} +let next st = {st with depth = succ st.depth} -let next st = {(clear st) with depth = succ st.depth} +let add st entry = {st with context = entry :: st.context} -let add st entry intro = - {st with context = entry :: st.context; intros = intro :: st.intros} +let push st = {st with case = 1 :: st.case} + +let inc st = + {st with case = match st.case with + | [] -> [] + | hd :: tl -> succ hd :: tl + } + +let case st str = + let case = String.concat "." (List.rev_map string_of_int st.case) in + Printf.sprintf "case %s: %s" case str let test_depth st = try @@ -119,21 +130,7 @@ let is_fwd_rewrite_left hd tl = | C.ARel _ -> true | _ -> false else false -(* -let get_ind_name uri tno xcno = -try - let ts = match E.get_obj Un.empty_ugraph uri with - | C.InductiveDefinition (ts, _, _,_), _ -> ts - | _ -> assert false - in - let tname, cs = match List.nth ts tno with - | (name, _, _, cs) -> name, cs - in - match xcno with - | None -> tname - | Some cno -> fst (List.nth cs (pred cno)) -with Invalid_argument _ -> failwith "A2P.get_ind_name" -*) + let get_inner_types st v = try let id = Ut.id_of_annterm v in @@ -150,12 +147,6 @@ try with Not_found -> `Type (CicUniv.fresh()) with Invalid_argument _ -> failwith "A2P.get_sort" *) -let get_type msg st bo = -try - let ty, _ = TC.type_of_aux' [] st.context (cic bo) Un.empty_ugraph in - ty -with e -> failwith (msg ^ ": " ^ Printexc.to_string e) - let get_entry st id = let rec aux = function | [] -> assert false @@ -163,10 +154,42 @@ let get_entry st id = | _ :: tl -> aux tl in aux st.context - + +let string_of_atomic = function + | C.ARel (_, _, _, s) -> s + | C.AVar (_, uri, _) -> H.name_of_uri uri None None + | C.AConst (_, uri, _) -> H.name_of_uri uri None None + | C.AMutInd (_, uri, i, _) -> H.name_of_uri uri (Some i) None + | C.AMutConstruct (_, uri, i, j, _) -> H.name_of_uri uri (Some i) (Some j) + | _ -> "" + +let get_sub_names head l = + let s = string_of_atomic head in + if s = "" then [] else + let map (names, i) _ = + let name = Printf.sprintf "%s_%u" s i in name :: names, succ i + in + let names, _ = List.fold_left map ([], 1) l in + List.rev names + +let get_type msg st t = H.get_type msg st.context (H.cic t) + +let clear_absts m = + let rec aux k n = function + | C.ALambda (id, s, v, t) when k > 0 -> + C.ALambda (id, s, v, aux (pred k) n t) + | C.ALambda (_, _, _, t) when n > 0 -> + aux 0 (pred n) (Cn.lift 1 (-1) t) + | t when n > 0 -> + Printf.eprintf "A2P.clear_absts: %u %s\n" n (Pp.ppterm (H.cic t)); + assert false + | t -> t + in + aux m + (* proof construction *******************************************************) -let unused_premise = "UNUSED" +let anonymous_premise = C.Name "UNNAMED" let mk_exp_args hd tl classes synth = let meta id = C.AImplicit (id, None) in @@ -181,195 +204,336 @@ let mk_exp_args hd tl classes synth = let args = aux args in if args = [] then hd else C.AAppl ("", hd :: args) +let mk_convert st ?name sty ety note = + let e = Cn.hole "" in + let csty, cety = H.cic sty, H.cic ety in + let script = + if !debug then + let sname = match name with None -> "" | Some (id, _) -> id in + let note = Printf.sprintf "%s: %s\nSINTH: %s\nEXP: %s" + note sname (Pp.ppterm csty) (Pp.ppterm cety) + in + [T.Note note] + else [] + in + assert (Ut.is_sober st.context csty); + assert (Ut.is_sober st.context cety); + if Ut.alpha_equivalence csty cety then script else + let sty, ety = H.acic_bc st.context sty, H.acic_bc st.context ety in + match name with + | None -> T.Change (sty, ety, None, e, "") :: script + | Some (id, i) -> + begin match get_entry st id with + | C.Def _ -> assert false (* T.ClearBody (id, "") :: script *) + | C.Decl _ -> + T.Change (ety, sty, Some (id, Some id), e, "") :: script + end + let convert st ?name v = match get_inner_types st v with - | None -> [] - | Some (sty, ety) -> - let e = Cn.mk_pattern 0 (T.mk_arel 1 "") in - let csty, cety = cic sty, cic ety in - if Ut.alpha_equivalence csty cety then [] else - match name with - | None -> [T.Change (sty, ety, None, e, "")] - | Some (id, i) -> - begin match get_entry st id with - | C.Def _ -> [T.ClearBody (id, "")] - | C.Decl w -> - let w = S.lift i w in - if Ut.alpha_equivalence csty w then [] - else - [T.Note (Pp.ppterm csty); T.Note (Pp.ppterm w); - T.Change (sty, ety, Some (id, id), e, "")] - end - + | None -> + if !debug then [T.Note "NORMAL: NO INNER TYPES"] else [] + | Some (sty, ety) -> mk_convert st ?name sty ety "NORMAL" + let get_intro = function - | C.Anonymous -> unused_premise - | C.Name s -> s + | C.Anonymous -> None + | C.Name s -> Some s -let mk_intros st script = - if st.intros = [] then script else - let count = List.length st.intros in - T.Intros (Some count, List.rev st.intros, "") :: script +let mk_preamble st what script = + convert st what @ script let mk_arg st = function | C.ARel (_, _, i, name) as what -> convert st ~name:(name, i) what | _ -> [] -let mk_fwd_rewrite st dtext name tl direction = +let mk_fwd_rewrite st dtext name tl direction v t ity = + let compare premise = function + | None -> true + | Some s -> s = premise + in assert (List.length tl = 6); let what, where, predicate = List.nth tl 5, List.nth tl 3, List.nth tl 2 in let e = Cn.mk_pattern 1 predicate in + if (Cn.does_not_occur e) then st, [] else match where with - | C.ARel (_, _, _, premise) -> - let script = mk_arg st what in - let where = Some (premise, name) in - T.Rewrite (direction, what, where, e, dtext) :: script + | C.ARel (_, _, i, premise) as w -> + let script name = + let where = Some (premise, name) in + let script = mk_arg st what @ mk_arg st w in + T.Rewrite (direction, what, where, e, dtext) :: script + in + if DTI.does_not_occur (succ i) (H.cic t) || compare premise name then + {st with context = Cn.clear st.context premise}, script name + else begin + assert (Ut.is_sober st.context (H.cic ity)); + let ity = H.acic_bc st.context ity in + let br1 = [T.Id ""] in + let br2 = List.rev (T.Apply (w, "assumption") :: script None) in + let text = "non-linear rewrite" in + st, [T.Branch ([br2; br1], ""); T.Cut (name, ity, text)] + end | _ -> assert false -let mk_rewrite st dtext what qs tl direction = +let mk_rewrite st dtext where qs tl direction t = assert (List.length tl = 5); let predicate = List.nth tl 2 in let e = Cn.mk_pattern 1 predicate in - [T.Rewrite (direction, what, None, e, dtext); T.Branch (qs, "")] - -let rec proc_lambda st name v t = - let entry = Some (name, C.Decl (cic v)) in + let script = [T.Branch (qs, "")] in + if (Cn.does_not_occur e) then script else + T.Rewrite (direction, where, None, e, dtext) :: script + +let rec proc_lambda st what name v t = + let name = match name with + | C.Anonymous -> H.mk_fresh_name st.context anonymous_premise + | name -> name + in + let entry = Some (name, C.Decl (H.cic v)) in let intro = get_intro name in - proc_proof (add st entry intro) t + let script = proc_proof (add st entry) t in + let script = T.Intros (Some 1, [intro], "") :: script in + mk_preamble st what script -and proc_letin st what name v t = +and proc_letin st what name v w t = let intro = get_intro name in let proceed, dtext = test_depth st in let script = if proceed then - let hyp, rqv = match get_inner_types st v with + let st, hyp, rqv = match get_inner_types st v with | Some (ity, _) -> - let rqv = match v with + let st, rqv = match v with | C.AAppl (_, hd :: tl) when is_fwd_rewrite_right hd tl -> - mk_fwd_rewrite st dtext intro tl true + mk_fwd_rewrite st dtext intro tl true v t ity | C.AAppl (_, hd :: tl) when is_fwd_rewrite_left hd tl -> - mk_fwd_rewrite st dtext intro tl false + mk_fwd_rewrite st dtext intro tl false v t ity | v -> + assert (Ut.is_sober st.context (H.cic ity)); + let ity = H.acic_bc st.context ity in let qs = [proc_proof (next st) v; [T.Id ""]] in - [T.Branch (qs, ""); T.Cut (intro, ity, dtext)] + st, [T.Branch (qs, ""); T.Cut (intro, ity, dtext)] in - C.Decl (cic ity), rqv + st, C.Decl (H.cic ity), rqv | None -> - C.Def (cic v, None), [T.LetIn (intro, v, dtext)] + st, C.Def (H.cic v, H.cic w), [T.LetIn (intro, v, dtext)] in let entry = Some (name, hyp) in - let qt = proc_proof (next (add st entry intro)) t in + let qt = proc_proof (next (add st entry)) t in List.rev_append rqv qt else [T.Apply (what, dtext)] in - mk_intros st script + mk_preamble st what script and proc_rel st what = let _, dtext = test_depth st in let text = "assumption" in let script = [T.Apply (what, dtext ^ text)] in - mk_intros st script + mk_preamble st what script and proc_mutconstruct st what = let _, dtext = test_depth st in let script = [T.Apply (what, dtext)] in - mk_intros st script + mk_preamble st what script + +and proc_const st what = + let _, dtext = test_depth st in + let script = [T.Apply (what, dtext)] in + mk_preamble st what script and proc_appl st what hd tl = let proceed, dtext = test_depth st in let script = if proceed then - let ty = get_type "TC2" st hd in - let (classes, rc) as h = Cl.classify st.context ty in - let goal_arity = match get_inner_types st what with - | None -> 0 - | Some (ity, _) -> snd (PEH.split_with_whd (st.context, cic ity)) + let ty = match get_inner_types st hd with + | Some (ity, _) -> H.cic ity + | None -> get_type "TC2" st hd + in + let classes, rc = Cl.classify st.context ty in + let goal_arity, goal = match get_inner_types st what with + | None -> 0, None + | Some (ity, ety) -> + snd (PEH.split_with_whd (st.context, H.cic ity)), Some (H.cic ety) in - let argsno = List.length classes in - let decurry = argsno - List.length tl in + let parsno, argsno = List.length classes, List.length tl in + let decurry = parsno - argsno in let diff = goal_arity - decurry in - if diff < 0 then failwith (Printf.sprintf "NOT TOTAL: %i %s |--- %s" diff (Pp.ppcontext st.context) (Pp.ppterm (cic hd))); + if diff < 0 then failwith (Printf.sprintf "NOT TOTAL: %i %s |--- %s" diff (Pp.ppcontext st.context) (Pp.ppterm (H.cic hd))); + let classes = Cl.adjust st.context tl ?goal classes in let rec mk_synth a n = if n < 0 then a else mk_synth (I.S.add n a) (pred n) in let synth = mk_synth I.S.empty decurry in - let text = "" (* Printf.sprintf "%u %s" argsno (Cl.to_string h) *) in - let script = List.rev (mk_arg st hd) @ convert st what in + let text = "" (* Printf.sprintf "%u %s" parsno (Cl.to_string h) *) in + let script = List.rev (mk_arg st hd) in match rc with - | Some (i, j) -> - let classes, tl, _, where = split2_last classes tl in - let script = List.rev (mk_arg st where) @ script in - let synth = I.S.add 1 synth in - let qs = proc_bkd_proofs (next st) synth classes tl in - if is_rewrite_right hd then - script @ mk_rewrite st dtext where qs tl false + | Some (i, j, uri, tyno) -> + let classes2, tl2, _, where = split2_last classes tl in + let script2 = List.rev (mk_arg st where) @ script in + let synth2 = I.S.add 1 synth in + let names = H.get_ind_names uri tyno in + let qs = proc_bkd_proofs (next st) synth2 names classes2 tl2 in + if List.length qs <> List.length names then + let qs = proc_bkd_proofs (next st) synth [] classes tl in + let hd = mk_exp_args hd tl classes synth in + script @ [T.Apply (hd, dtext ^ text); T.Branch (qs, "")] + else if is_rewrite_right hd then + script2 @ mk_rewrite st dtext where qs tl2 false what else if is_rewrite_left hd then - script @ mk_rewrite st dtext where qs tl true + script2 @ mk_rewrite st dtext where qs tl2 true what else - let predicate = List.nth tl (argsno - i) in - let e = Cn.mk_pattern 0 (T.mk_arel 1 "") (* j predicate *) in + let predicate = List.nth tl2 (parsno - i) in + let e = Cn.mk_pattern j predicate in let using = Some hd in - script @ + script2 @ [T.Elim (where, using, e, dtext ^ text); T.Branch (qs, "")] | None -> - let qs = proc_bkd_proofs (next st) synth classes tl in + let names = get_sub_names hd tl in + let qs = proc_bkd_proofs (next st) synth names classes tl in let hd = mk_exp_args hd tl classes synth in script @ [T.Apply (hd, dtext ^ text); T.Branch (qs, "")] else [T.Apply (what, dtext)] in - mk_intros st script + mk_preamble st what script + +and proc_case st what uri tyno u v ts = + let proceed, dtext = test_depth st in + let script = if proceed then + let synth, classes = I.S.empty, Cl.make ts in + let names = H.get_ind_names uri tyno in + let qs = proc_bkd_proofs (next st) synth names classes ts in + let lpsno, _ = H.get_ind_type uri tyno in + let ps, sort_disp = H.get_ind_parameters st.context (H.cic v) in + let _, rps = HEL.split_nth lpsno ps in + let rpsno = List.length rps in + let predicate = clear_absts rpsno (1 - sort_disp) u in + let e = Cn.mk_pattern rpsno predicate in + let text = "" in + let script = List.rev (mk_arg st v) in + script @ [T.Cases (v, e, dtext ^ text); T.Branch (qs, "")] + else + [T.Apply (what, dtext)] + in + mk_preamble st what script and proc_other st what = + let _, dtext = test_depth st in let text = Printf.sprintf "%s: %s" "UNEXPANDED" (string_of_head what) in - let script = [T.Note text] in - mk_intros st script - -and proc_proof st = function - | C.ALambda (_, name, w, t) -> proc_lambda st name w t - | C.ALetIn (_, name, v, t) as what -> proc_letin st what name v t - | C.ARel _ as what -> proc_rel st what - | C.AMutConstruct _ as what -> proc_mutconstruct st what - | C.AAppl (_, hd :: tl) as what -> proc_appl st what hd tl - | what -> proc_other st what - -and proc_bkd_proofs st synth classes ts = + let script = [T.Apply (what, dtext ^ text)] in + mk_preamble st what script + +and proc_proof st t = + let f st = + let xtypes, note = match get_inner_types st t with + | Some (it, et) -> Some (H.cic it, H.cic et), + (Printf.sprintf "\nInferred: %s\nExpected: %s" + (Pp.ppterm (H.cic it)) (Pp.ppterm (H.cic et))) + | None -> None, "\nNo types" + in + let context, _clears = Cn.get_clears st.context (H.cic t) xtypes in + {st with context = context} + in + match t with + | C.ALambda (_, name, w, t) as what -> proc_lambda (f st) what name w t + | C.ALetIn (_, name, v, w, t) as what -> proc_letin (f st) what name v w t + | C.ARel _ as what -> proc_rel (f st) what + | C.AMutConstruct _ as what -> proc_mutconstruct (f st) what + | C.AConst _ as what -> proc_const (f st) what + | C.AAppl (_, hd :: tl) as what -> proc_appl (f st) what hd tl + | C.AMutCase (_, uri, i, u, v, ts) as what -> proc_case (f st) what uri i u v ts + | what -> proc_other (f st) what + +and proc_bkd_proofs st synth names classes ts = try + let get_names b = ref (names, if b then push st else st) in + let get_note f b names = + match !names with + | [], st -> f st + | "" :: tl, st -> names := tl, st; f st + | hd :: tl, st -> + let note = case st hd in + names := tl, inc st; + if b then T.Note note :: f st else f st + in let _, dtext = test_depth st in let aux (inv, _) v = if I.overlaps synth inv then None else - if I.S.is_empty inv then Some (proc_proof st v) else - Some [T.Apply (v, dtext ^ "dependent")] + if I.S.is_empty inv then Some (get_note (fun st -> proc_proof st v)) else + Some (get_note (fun _ -> [T.Apply (v, dtext ^ "dependent")])) in - List.rev (T.list_map2_filter aux classes ts) + let ps = T.list_map2_filter aux classes ts in + let b = List.length ps > 1 in + let names = get_names b in + List.rev_map (fun f -> f b names) ps + with Invalid_argument s -> failwith ("A2P.proc_bkd_proofs: " ^ s) (* object costruction *******************************************************) -let is_theorem pars = - List.mem (`Flavour `Theorem) pars || List.mem (`Flavour `Fact) pars || - List.mem (`Flavour `Remark) pars || List.mem (`Flavour `Lemma) pars +let th_flavours = [`Theorem; `Lemma; `Remark; `Fact] -let proc_obj st = function - | C.AConstant (_, _, s, Some v, t, [], pars) when is_theorem pars -> - let ast = proc_proof st v in - let count = T.count_steps 0 ast in - let text = Printf.sprintf "tactics: %u" count in - T.Theorem (s, t, text) :: ast @ [T.Qed ""] - | _ -> - failwith "not a theorem" +let def_flavours = [`Definition] + +let get_flavour ?flavour attrs = + let rec aux = function + | [] -> List.hd th_flavours + | `Flavour fl :: _ -> fl + | _ :: tl -> aux tl + in + match flavour with + | Some fl -> fl + | None -> aux attrs + +let proc_obj ?flavour ?(info="") st = function + | C.AConstant (_, _, s, Some v, t, [], attrs) -> + begin match get_flavour ?flavour attrs with + | flavour when List.mem flavour th_flavours -> + let ast = proc_proof st v in + let steps, nodes = T.count_steps 0 ast, T.count_nodes 0 ast in + let text = Printf.sprintf "%s\n%s%s: %u\n%s: %u\n%s" + "COMMENTS" info "Tactics" steps "Final nodes" nodes "END" + in + T.Statement (flavour, Some s, t, None, "") :: ast @ [T.Qed text] + | flavour when List.mem flavour def_flavours -> + [T.Statement (flavour, Some s, t, Some v, "")] + | _ -> + failwith "not a theorem, definition, axiom or inductive type" + end + | C.AConstant (_, _, s, None, t, [], attrs) -> + [T.Statement (`Axiom, Some s, t, None, "")] + | C.AInductiveDefinition (_, types, [], lpsno, attrs) -> + [T.Inductive (types, lpsno, "")] + | _ -> + failwith "not a theorem, definition, axiom or inductive type" (* interface functions ******************************************************) -let acic2procedural ~ids_to_inner_sorts ~ids_to_inner_types ?depth prefix aobj = +let procedural_of_acic_object ~ids_to_inner_sorts ~ids_to_inner_types + ?info ?depth ?flavour prefix anobj = + let st = { + sorts = ids_to_inner_sorts; + types = ids_to_inner_types; + max_depth = depth; + depth = 0; + context = []; + case = [] + } in + L.time_stamp "P : LEVEL 2 "; + HLog.debug "Procedural: level 2 transformation"; + let steps = proc_obj st ?flavour ?info anobj in + L.time_stamp "P : RENDERING"; + HLog.debug "Procedural: grafite rendering"; + let r = List.rev (T.render_steps [] steps) in + L.time_stamp "P : DONE "; r + +let procedural_of_acic_term ~ids_to_inner_sorts ~ids_to_inner_types ?depth + prefix context annterm = let st = { - sorts = ids_to_inner_sorts; - types = ids_to_inner_types; - prefix = prefix; - max_depth = depth; - depth = 0; - context = []; - intros = [] + sorts = ids_to_inner_sorts; + types = ids_to_inner_types; + max_depth = depth; + depth = 0; + context = context; + case = [] } in HLog.debug "Procedural: level 2 transformation"; - let steps = proc_obj st aobj in + let steps = proc_proof st annterm in HLog.debug "Procedural: grafite rendering"; List.rev (T.render_steps [] steps)