1 (* Copyright (C) 2003-2005, HELM Team.
3 * This file is part of HELM, an Hypertextual, Electronic
4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
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8 * modify it under the terms of the GNU General Public License
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15 * GNU General Public License for more details.
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23 * http://cs.unibo.it/helm/.
27 module E = CicEnvironment
29 module TC = CicTypeChecker
31 module UM = UriManager
32 module Rd = CicReduction
34 (* helpers ******************************************************************)
36 let cic = D.deannotate_term
38 let rec list_sub start length = function
39 | _ :: tl when start > 0 -> list_sub (pred start) length tl
40 | hd :: tl when length > 0 -> hd :: list_sub start (pred length) tl
43 (* proof construction *******************************************************)
46 let rec lift_xns k (uri, t) = uri, lift_term k t
47 and lift_ms k = function
49 | Some t -> Some (lift_term k t)
50 and lift_fix len k (id, name, i, ty, bo) =
51 id, name, i, lift_term k ty, lift_term (k + len) bo
52 and lift_cofix len k (id, name, ty, bo) =
53 id, name, lift_term k ty, lift_term (k + len) bo
54 and lift_term k = function
56 | C.AImplicit _ as t -> t
57 | C.ARel (id, rid, m, b) as t ->
59 if m + n > 0 then C.ARel (id, rid, m + n, b) else
61 | C.AConst (id, uri, xnss) -> C.AConst (id, uri, List.map (lift_xns k) xnss)
62 | C.AVar (id, uri, xnss) -> C.AVar (id, uri, List.map (lift_xns k) xnss)
63 | C.AMutInd (id, uri, tyno, xnss) -> C.AMutInd (id, uri, tyno, List.map (lift_xns k) xnss)
64 | C.AMutConstruct (id, uri, tyno, consno, xnss) -> C.AMutConstruct (id, uri,tyno,consno, List.map (lift_xns k) xnss)
65 | C.AMeta (id, i, mss) -> C.AMeta(id, i, List.map (lift_ms k) mss)
66 | C.AAppl (id, ts) -> C.AAppl (id, List.map (lift_term k) ts)
67 | C.ACast (id, te, ty) -> C.ACast (id, lift_term k te, lift_term k ty)
68 | C.AMutCase (id, sp, i, outty, t, pl) -> C.AMutCase (id, sp, i, lift_term k outty, lift_term k t, List.map (lift_term k) pl)
69 | C.AProd (id, n, s, t) -> C.AProd (id, n, lift_term k s, lift_term (succ k) t)
70 | C.ALambda (id, n, s, t) -> C.ALambda (id, n, lift_term k s, lift_term (succ k) t)
71 | C.ALetIn (id, n, s, t) -> C.ALetIn (id, n, lift_term k s, lift_term (succ k) t)
72 | C.AFix (id, i, fl) -> C.AFix (id, i, List.map (lift_fix (List.length fl) k) fl)
73 | C.ACoFix (id, i, fl) -> C.ACoFix (id, i, List.map (lift_cofix (List.length fl) k) fl)
78 let rec aux k n = function
79 | C.AImplicit (_, None) as t -> t
80 | C.ALambda (id, s, v, t) when k > 0 ->
81 C.ALambda (id, s, v, aux (pred k) n t)
82 | C.ALambda (_, _, _, t) when n > 0 ->
83 aux 0 (pred n) (lift 1 (-1) t)
85 Printf.eprintf "CLEAR: %u %s\n" n (CicPp.ppterm (cic t));
91 let hole id = C.AImplicit (id, Some `Hole)
93 let meta id = C.AImplicit (id, None)
95 let anon = C.Anonymous
100 | C.AImplicit (_, None) when b -> b
103 List.fold_left map true
105 let rec gen_fix len k (id, name, i, ty, bo) =
106 id, name, i, gen_term k ty, gen_term (k + len) bo
107 and gen_cofix len k (id, name, ty, bo) =
108 id, name, gen_term k ty, gen_term (k + len) bo
109 and gen_term k = function
111 | C.AImplicit (id, _)
112 | C.AConst (id, _, _)
114 | C.AMutInd (id, _, _, _)
115 | C.AMutConstruct (id, _, _, _, _)
116 | C.AMeta (id, _, _) -> meta id
117 | C.ARel (id, _, m, _) ->
118 if succ (k - n) <= m && m <= k then hole id else meta id
119 | C.AAppl (id, ts) ->
120 let ts = List.map (gen_term k) ts in
121 if is_meta ts then meta id else C.AAppl (id, ts)
122 | C.ACast (id, te, ty) ->
123 let te, ty = gen_term k te, gen_term k ty in
124 if is_meta [te; ty] then meta id else C.ACast (id, te, ty)
125 | C.AMutCase (id, sp, i, outty, t, pl) ->
126 let outty, t, pl = gen_term k outty, gen_term k t, List.map (gen_term k) pl in
127 if is_meta (outty :: t :: pl) then meta id else hole id (* C.AMutCase (id, sp, i, outty, t, pl) *)
128 | C.AProd (id, _, s, t) ->
129 let s, t = gen_term k s, gen_term (succ k) t in
130 if is_meta [s; t] then meta id else C.AProd (id, anon, s, t)
131 | C.ALambda (id, _, s, t) ->
132 let s, t = gen_term k s, gen_term (succ k) t in
133 if is_meta [s; t] then meta id else C.ALambda (id, anon, s, t)
134 | C.ALetIn (id, _, s, t) ->
135 let s, t = gen_term k s, gen_term (succ k) t in
136 if is_meta [s; t] then meta id else C.ALetIn (id, anon, s, t)
137 | C.AFix (id, i, fl) -> C.AFix (id, i, List.map (gen_fix (List.length fl) k) fl)
138 | C.ACoFix (id, i, fl) -> C.ACoFix (id, i, List.map (gen_cofix (List.length fl) k) fl)
142 let mk_pattern psno predicate =
143 let body = generalize psno predicate in
144 clear_absts 0 psno body