X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Facic_procedural%2FproceduralHelpers.ml;h=7d95d86775de199f8e83ee7a1798bf6556b9ef4e;hb=04c05cf08605156ba8c6fa7225b4a90496c03698;hp=0925289e250111e1921fd9d7daeadff63c6c9eb0;hpb=cf4301b669442bdd78984d3a3a1e38660db1f2ea;p=helm.git diff --git a/helm/software/components/acic_procedural/proceduralHelpers.ml b/helm/software/components/acic_procedural/proceduralHelpers.ml index 0925289e2..7d95d8677 100644 --- a/helm/software/components/acic_procedural/proceduralHelpers.ml +++ b/helm/software/components/acic_procedural/proceduralHelpers.ml @@ -32,6 +32,104 @@ module PEH = ProofEngineHelpers module E = CicEnvironment module UM = UriManager module D = Deannotate +module PER = ProofEngineReduction +module Ut = CicUtil + +(* raw cic prettyprinter ****************************************************) + +let xiter out so ss sc map l = + let rec aux = function + | hd :: tl when tl <> [] -> map hd; out ss; aux tl + | hd :: tl -> map hd; aux tl + | [] -> () + in + out so; aux l; out sc + +let abst s w = Some (s, C.Decl w) + +let abbr s v w = Some (s, C.Def (v, w)) + +let pp_sort out = function + | C.Type _ -> out "*Type" + | C.Prop -> out "*Prop" + | C.CProp _ -> out "*CProp" + | C.Set -> out "*Set" + +let pp_name out = function + | C.Name s -> out s + | C.Anonymous -> out "_" + +let pp_rel out c i = + try match List.nth c (pred i) with + | None -> out (Printf.sprintf "%u[?]" i) + | Some (s, _) -> out (Printf.sprintf "%u[" i); pp_name out s; out "]" + with Failure "nth" -> out (Printf.sprintf "%u[%u]" i (List.length c - i)) + +let pp_implict out = function + | None -> out "?" + | Some `Closed -> out "?[Closed]" + | Some `Type -> out "?[Type]" + | Some `Hole -> out "?[Hole]" + +let pp_uri out a = + out (Printf.sprintf "%s<%s>" (UM.name_of_uri a) (UM.string_of_uri a)) + +let rec pp_term out e c = function + | C.Sort h -> pp_sort out h + | C.Rel i -> pp_rel out c i + | C.Implicit x -> pp_implict out x + | C.Meta (i, iss) -> + let map = function None -> out "_" | Some v -> pp_term out e c v in + out (Printf.sprintf "?%u" i); xiter out "[" "; " "]" map iss + | C.Var (a, xss) -> + pp_uri out a; pp_xss out e c xss + | C.Const (a, xss) -> + pp_uri out a; pp_xss out e c xss + | C.MutInd (a, m, xss) -> + pp_uri out a; out (Printf.sprintf "/%u" m); + pp_xss out e c xss + | C.MutConstruct (a, m, n, xss) -> + pp_uri out a; out (Printf.sprintf "/%u/%u" m n); + pp_xss out e c xss + | C.Cast (v, w) -> + out "type "; pp_term out e c w; out " contains "; pp_term out e c v + | C.Appl vs -> + xiter out "(" " @ " ")" (pp_term out e c) vs + | C.MutCase (a, m, w, v, vs) -> + out "match "; pp_term out e c v; + out " of "; pp_uri out a; out (Printf.sprintf "/%u" m); + out " to "; pp_term out e c w; + xiter out " cases " " | " "" (pp_term out e c) vs + | C.Prod (s, w, t) -> + out "forall "; pp_name out s; out " of "; pp_term out e c w; + out " in "; pp_term out e (abst s w :: c) t + | C.Lambda (s, w, t) -> + out "fun "; pp_name out s; out " of "; pp_term out e c w; + out " in "; pp_term out e (abst s w :: c) t + | C.LetIn (s, v, w, t) -> + out "let "; pp_name out s; + out " def "; pp_term out e c v; out " of "; pp_term out e c w; + out " in "; pp_term out e (abbr s v w :: c) t + | C.Fix (i, fs) -> + let map c (s, _, w, v) = abbr (C.Name s) v w :: c in + let c' = List.fold_left map c fs in + let map (s, i, w, v) = + out (Printf.sprintf "%s[%u] def " s i); pp_term out e c' v; + out " of "; pp_term out e c w; + in + xiter out "let rec " " and " " in " map fs; pp_rel out c' (succ i) + | C.CoFix (i, fs) -> + let map c (s, w, v) = abbr (C.Name s) v w :: c in + let c' = List.fold_left map c fs in + let map (s, w, v) = + out s; pp_term out e c' v; + out " of "; pp_term out e c w; + in + xiter out "let corec " " and " " in " map fs; pp_rel out c' (succ i) + +and pp_xss out e c xss = + let map (a, v) = pp_uri out a; out " <- "; pp_term out e c v in + xiter out "[" "; " "]" map xss (* fresh name generator *****************************************************) @@ -65,6 +163,19 @@ let mk_fresh_name context = function (* helper functions *********************************************************) +let rec list_fold_right_cps g map l a = + match l with + | [] -> g a + | hd :: tl -> + let h a = map g hd a in + list_fold_right_cps h map tl a + +let rec list_fold_left_cps g map a = function + | [] -> g a + | hd :: tl -> + let h a = list_fold_left_cps g map a tl in + map h a hd + let rec list_map_cps g map = function | [] -> g [] | hd :: tl -> @@ -81,19 +192,25 @@ let compose f g x = f (g x) let fst3 (x, _, _) = x let refine c t = - try let t, _, _, _ = Rf.type_of_aux' [] c t Un.empty_ugraph in t + try let t, _, _, _ = Rf.type_of_aux' [] c t Un.default_ugraph in t with e -> Printf.eprintf "REFINE EROR: %s\n" (Printexc.to_string e); Printf.eprintf "Ref: context: %s\n" (Pp.ppcontext c); Printf.eprintf "Ref: term : %s\n" (Pp.ppterm t); raise e -let get_type c t = - try let ty, _ = TC.type_of_aux' [] c t Un.empty_ugraph in ty - with e -> - Printf.eprintf "TC: context: %s\n" (Pp.ppcontext c); - Printf.eprintf "TC: term : %s\n" (Pp.ppterm t); - raise e +let get_type msg c t = + let log s = + prerr_endline ("TC: " ^ s); + prerr_endline ("TC: context: " ^ Pp.ppcontext c); + prerr_string "TC: term : "; pp_term prerr_string [] c t; + prerr_newline (); prerr_endline ("TC: location: " ^ msg) + in + try let ty, _ = TC.type_of_aux' [] c t Un.default_ugraph in ty with + | TC.TypeCheckerFailure s as e -> + log ("failure: " ^ Lazy.force s); raise e + | TC.AssertFailure s as e -> + log ("assert : " ^ Lazy.force s); raise e let get_tail c t = match PEH.split_with_whd (c, t) with @@ -101,11 +218,15 @@ let get_tail c t = | _ -> assert false let is_proof c t = - match get_tail c (get_type c (get_type c t)) with + match get_tail c (get_type "is_proof 1" c (get_type "is_proof 2" c t)) with | C.Sort C.Prop -> true | C.Sort _ -> false | _ -> assert false +let is_sort = function + | C.Sort _ -> true + | _ -> false + let is_unsafe h (c, t) = true let is_not_atomic = function @@ -117,19 +238,31 @@ let is_not_atomic = function | C.MutConstruct _ -> false | _ -> true +let is_atomic t = not (is_not_atomic t) + let get_ind_type uri tyno = - match E.get_obj Un.empty_ugraph uri with + match E.get_obj Un.default_ugraph uri with | C.InductiveDefinition (tys, _, lpsno, _), _ -> lpsno, List.nth tys tyno | _ -> assert false +let get_ind_names uri tno = +try + let ts = match E.get_obj Un.default_ugraph uri with + | C.InductiveDefinition (ts, _, _, _), _ -> ts + | _ -> assert false + in + match List.nth ts tno with + | (_, _, _, cs) -> List.map fst cs +with Invalid_argument _ -> failwith "get_ind_names" + let get_default_eliminator context uri tyno ty = let _, (name, _, _, _) = get_ind_type uri tyno in - let ext = match get_tail context (get_type context ty) with - | C.Sort C.Prop -> "_ind" - | C.Sort C.Set -> "_rec" - | C.Sort C.CProp -> "_rec" - | C.Sort (C.Type _) -> "_rect" - | t -> + let ext = match get_tail context (get_type "get_def_elim" context ty) with + | C.Sort C.Prop -> "_ind" + | C.Sort C.Set -> "_rec" + | C.Sort (C.CProp _) -> "_rect" + | C.Sort (C.Type _) -> "_rect" + | t -> Printf.eprintf "CicPPP get_default_eliminator: %s\n" (Pp.ppterm t); assert false in @@ -138,13 +271,13 @@ let get_default_eliminator context uri tyno ty = C.Const (uri, []) let get_ind_parameters c t = - let ty = get_type c t in + let ty = get_type "get_ind_pars 1" c t in let ps = match get_tail c ty with | C.MutInd _ -> [] | C.Appl (C.MutInd _ :: args) -> args | _ -> assert false in - let disp = match get_tail c (get_type c ty) with + let disp = match get_tail c (get_type "get_ind_pars 2" c ty) with | C.Sort C.Prop -> 0 | C.Sort _ -> 1 | _ -> assert false @@ -152,3 +285,131 @@ let get_ind_parameters c t = ps, disp let cic = D.deannotate_term + +let occurs c ~what ~where = + let result = ref false in + let equality c t1 t2 = + let r = Ut.alpha_equivalence t1 t2 in + result := !result || r; r + in + let context, what, with_what = c, [what], [C.Rel 0] in + let _ = PER.replace_lifting ~equality ~context ~what ~with_what ~where in + !result + +let name_of_uri uri tyno cno = + let get_ind_type tys tyno = + let s, _, _, cs = List.nth tys tyno in s, cs + in + match (fst (E.get_obj Un.default_ugraph uri)), tyno, cno with + | C.Variable (s, _, _, _, _), _, _ -> s + | C.Constant (s, _, _, _, _), _, _ -> s + | C.InductiveDefinition (tys, _, _, _), Some i, None -> + let s, _ = get_ind_type tys i in s + | C.InductiveDefinition (tys, _, _, _), Some i, Some j -> + let _, cs = get_ind_type tys i in + let s, _ = List.nth cs (pred j) in s + | _ -> assert false + +(* Ensuring Barendregt convenction ******************************************) + +let rec add_entries map c = function + | [] -> c + | hd :: tl -> + let sname, w = map hd in + let entry = Some (Cic.Name sname, C.Decl w) in + add_entries map (entry :: c) tl + +let get_sname c i = + try match List.nth c (pred i) with + | Some (Cic.Name sname, _) -> sname + | _ -> assert false + with + | Failure _ -> assert false + | Invalid_argument _ -> assert false + +let cic_bc c t = + let get_fix_decl (sname, i, w, v) = sname, w in + let get_cofix_decl (sname, w, v) = sname, w in + let rec bc c = function + | C.LetIn (name, v, ty, t) -> + let name = mk_fresh_name c name in + let entry = Some (name, C.Def (v, ty)) in + let v, ty, t = bc c v, bc c ty, bc (entry :: c) t in + C.LetIn (name, v, ty, t) + | C.Lambda (name, w, t) -> + let name = mk_fresh_name c name in + let entry = Some (name, C.Decl w) in + let w, t = bc c w, bc (entry :: c) t in + C.Lambda (name, w, t) + | C.Prod (name, w, t) -> + let name = mk_fresh_name c name in + let entry = Some (name, C.Decl w) in + let w, t = bc c w, bc (entry :: c) t in + C.Prod (name, w, t) + | C.Appl vs -> + let vs = List.map (bc c) vs in + C.Appl vs + | C.MutCase (uri, tyno, u, v, ts) -> + let u, v, ts = bc c u, bc c v, List.map (bc c) ts in + C.MutCase (uri, tyno, u, v, ts) + | C.Cast (t, u) -> + let t, u = bc c t, bc c u in + C.Cast (t, u) + | C.Fix (i, fixes) -> + let d = add_entries get_fix_decl c fixes in + let bc_fix (sname, i, w, v) = (sname, i, bc c w, bc d v) in + let fixes = List.map bc_fix fixes in + C.Fix (i, fixes) + | C.CoFix (i, cofixes) -> + let d = add_entries get_cofix_decl c cofixes in + let bc_cofix (sname, w, v) = (sname, bc c w, bc d v) in + let cofixes = List.map bc_cofix cofixes in + C.CoFix (i, cofixes) + | t -> t + in + bc c t + +let acic_bc c t = + let get_fix_decl (id, sname, i, w, v) = sname, cic w in + let get_cofix_decl (id, sname, w, v) = sname, cic w in + let rec bc c = function + | C.ALetIn (id, name, v, ty, t) -> + let name = mk_fresh_name c name in + let entry = Some (name, C.Def (cic v, cic ty)) in + let v, ty, t = bc c v, bc c ty, bc (entry :: c) t in + C.ALetIn (id, name, v, ty, t) + | C.ALambda (id, name, w, t) -> + let name = mk_fresh_name c name in + let entry = Some (name, C.Decl (cic w)) in + let w, t = bc c w, bc (entry :: c) t in + C.ALambda (id, name, w, t) + | C.AProd (id, name, w, t) -> + let name = mk_fresh_name c name in + let entry = Some (name, C.Decl (cic w)) in + let w, t = bc c w, bc (entry :: c) t in + C.AProd (id, name, w, t) + | C.AAppl (id, vs) -> + let vs = List.map (bc c) vs in + C.AAppl (id, vs) + | C.AMutCase (id, uri, tyno, u, v, ts) -> + let u, v, ts = bc c u, bc c v, List.map (bc c) ts in + C.AMutCase (id, uri, tyno, u, v, ts) + | C.ACast (id, t, u) -> + let t, u = bc c t, bc c u in + C.ACast (id, t, u) + | C.AFix (id, i, fixes) -> + let d = add_entries get_fix_decl c fixes in + let bc_fix (id, sname, i, w, v) = (id, sname, i, bc c w, bc d v) in + let fixes = List.map bc_fix fixes in + C.AFix (id, i, fixes) + | C.ACoFix (id, i, cofixes) -> + let d = add_entries get_cofix_decl c cofixes in + let bc_cofix (id, sname, w, v) = (id, sname, bc c w, bc d v) in + let cofixes = List.map bc_cofix cofixes in + C.ACoFix (id, i, cofixes) + | C.ARel (id1, id2, i, sname) -> + let sname = get_sname c i in + C.ARel (id1, id2, i, sname) + | t -> t + in + bc c t