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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* $Id: g_tacticnew.ml4,v 1.35.2.6 2005/01/15 14:56:53 herbelin Exp $ *)
open Pp
open Ast
open Pcoq
open Util
open Tacexpr
open Rawterm
open Genarg
let compute = Cbv all_flags
let tactic_kw =
[ "->"; "<-" ]
let _ =
if not !Options.v7 then
List.iter (fun s -> Lexer.add_token("",s)) tactic_kw
(* Hack to parse "(x:=t)" as an explicit argument without conflicts with the *)
(* admissible notation "(x t)" *)
let lpar_id_coloneq =
Gram.Entry.of_parser "lpar_id_coloneq"
(fun strm ->
match Stream.npeek 1 strm with
| [("","(")] ->
(match Stream.npeek 2 strm with
| [_; ("IDENT",s)] ->
(match Stream.npeek 3 strm with
| [_; _; ("", ":=")] ->
Stream.junk strm; Stream.junk strm; Stream.junk strm;
Names.id_of_string s
| _ -> raise Stream.Failure)
| _ -> raise Stream.Failure)
| _ -> raise Stream.Failure)
(* idem for (x:=t) and (1:=t) *)
let test_lpar_idnum_coloneq =
Gram.Entry.of_parser "test_lpar_idnum_coloneq"
(fun strm ->
match Stream.npeek 1 strm with
| [("","(")] ->
(match Stream.npeek 2 strm with
| [_; (("IDENT"|"INT"),_)] ->
(match Stream.npeek 3 strm with
| [_; _; ("", ":=")] -> ()
| _ -> raise Stream.Failure)
| _ -> raise Stream.Failure)
| _ -> raise Stream.Failure)
(* idem for (x:t) *)
let lpar_id_colon =
Gram.Entry.of_parser "lpar_id_colon"
(fun strm ->
match Stream.npeek 1 strm with
| [("","(")] ->
(match Stream.npeek 2 strm with
| [_; ("IDENT",id)] ->
(match Stream.npeek 3 strm with
| [_; _; ("", ":")] ->
Stream.junk strm; Stream.junk strm; Stream.junk strm;
Names.id_of_string id
| _ -> raise Stream.Failure)
| _ -> raise Stream.Failure)
| _ -> raise Stream.Failure)
open Constr
open Prim
open Tactic
let mk_fix_tac (loc,id,bl,ann,ty) =
let n =
match bl,ann with
[([_],_)], None -> 1
| _, Some x ->
let ids = List.map snd (List.flatten (List.map fst bl)) in
(try list_index (snd x) ids
with Not_found -> error "no such fix variable")
| _ -> error "cannot guess decreasing argument of fix" in
(id,n,Topconstr.CProdN(loc,bl,ty))
let mk_cofix_tac (loc,id,bl,ann,ty) =
let _ = option_app (fun (aloc,_) ->
Util.user_err_loc
(aloc,"Constr:mk_cofix_tac",
Pp.str"Annotation forbidden in cofix expression")) ann in
(id,Topconstr.CProdN(loc,bl,ty))
(* Functions overloaded by quotifier *)
let induction_arg_of_constr c =
try ElimOnIdent (Topconstr.constr_loc c,snd(coerce_to_id c))
with _ -> ElimOnConstr c
let local_compute = [FBeta;FIota;FDeltaBut [];FZeta]
let error_oldelim _ = error "OldElim no longer supported"
let join_to_constr loc c2 = (fst loc), snd (Topconstr.constr_loc c2)
(* Auxiliary grammar rules *)
if not !Options.v7 then
GEXTEND Gram
GLOBAL: simple_tactic constr_with_bindings quantified_hypothesis
bindings red_expr int_or_var open_constr castedopenconstr
simple_intropattern;
int_or_var:
[ [ n = integer -> Genarg.ArgArg n
| id = identref -> Genarg.ArgVar id ] ]
;
(* An identifier or a quotation meta-variable *)
id_or_meta:
[ [ id = identref -> AI id
(* This is used in quotations *)
| id = METAIDENT -> MetaId (loc,id) ] ]
;
(* A number or a quotation meta-variable *)
num_or_meta:
[ [ n = integer -> AI n
| id = METAIDENT -> MetaId (loc,id)
] ]
;
open_constr:
[ [ c = constr -> ((),c) ] ]
;
castedopenconstr:
[ [ c = constr -> ((),c) ] ]
;
induction_arg:
[ [ n = natural -> ElimOnAnonHyp n
| c = constr -> induction_arg_of_constr c
] ]
;
quantified_hypothesis:
[ [ id = base_ident -> NamedHyp id
| n = natural -> AnonHyp n ] ]
;
conversion:
[ [ c = constr -> (None, c)
| c1 = constr; "with"; c2 = constr -> (Some ([],c1), c2)
| c1 = constr; "at"; nl = LIST1 integer; "with"; c2 = constr ->
(Some (nl,c1), c2) ] ]
;
occurrences:
[ [ "at"; nl = LIST1 integer -> nl
| -> [] ] ]
;
pattern_occ:
[ [ c = constr; nl = occurrences -> (nl,c) ] ]
;
unfold_occ:
[ [ c = global; nl = occurrences -> (nl,c) ] ]
;
intropatterns:
[ [ l = LIST0 simple_intropattern -> l ]]
;
simple_intropattern:
[ [ "["; tc = LIST1 intropatterns SEP "|" ; "]" -> IntroOrAndPattern tc
| "("; tc = LIST1 simple_intropattern SEP "," ; ")" -> IntroOrAndPattern [tc]
| "_" -> IntroWildcard
| id = base_ident -> IntroIdentifier id
] ]
;
simple_binding:
[ [ "("; id = base_ident; ":="; c = lconstr; ")" -> (loc, NamedHyp id, c)
| "("; n = natural; ":="; c = lconstr; ")" -> (loc, AnonHyp n, c) ] ]
;
bindings:
[ [ test_lpar_idnum_coloneq; bl = LIST1 simple_binding ->
ExplicitBindings bl
| bl = LIST1 constr -> ImplicitBindings bl ] ]
;
constr_with_bindings:
[ [ c = constr; l = with_bindings -> (c, l) ] ]
;
with_bindings:
[ [ "with"; bl = bindings -> bl | -> NoBindings ] ]
;
red_flag:
[ [ IDENT "beta" -> FBeta
| IDENT "delta" -> FDeltaBut []
| IDENT "iota" -> FIota
| IDENT "zeta" -> FZeta
| IDENT "delta"; "["; idl = LIST1 global; "]" -> FConst idl
| IDENT "delta"; "-"; "["; idl = LIST1 global; "]" -> FDeltaBut idl
] ]
;
red_tactic:
[ [ IDENT "red" -> Red false
| IDENT "hnf" -> Hnf
| IDENT "simpl"; po = OPT pattern_occ -> Simpl po
| IDENT "cbv"; s = LIST1 red_flag -> Cbv (make_red_flag s)
| IDENT "lazy"; s = LIST1 red_flag -> Lazy (make_red_flag s)
| IDENT "compute" -> compute
| IDENT "unfold"; ul = LIST1 unfold_occ SEP "," -> Unfold ul
| IDENT "fold"; cl = LIST1 constr -> Fold cl
| IDENT "pattern"; pl = LIST1 pattern_occ SEP","-> Pattern pl ] ]
;
(* This is [red_tactic] including possible extensions *)
red_expr:
[ [ IDENT "red" -> Red false
| IDENT "hnf" -> Hnf
| IDENT "simpl"; po = OPT pattern_occ -> Simpl po
| IDENT "cbv"; s = LIST1 red_flag -> Cbv (make_red_flag s)
| IDENT "lazy"; s = LIST1 red_flag -> Lazy (make_red_flag s)
| IDENT "compute" -> compute
| IDENT "unfold"; ul = LIST1 unfold_occ -> Unfold ul
| IDENT "fold"; cl = LIST1 constr -> Fold cl
| IDENT "pattern"; pl = LIST1 pattern_occ -> Pattern pl
| s = IDENT; OPT [ (* compat V8.0pl1 *) constr ] -> ExtraRedExpr s ] ]
;
hypident:
[ [ id = id_or_meta -> id,(InHyp,ref None)
| "("; IDENT "type"; IDENT "of"; id = id_or_meta; ")" ->
id,(InHypTypeOnly,ref None)
| "("; IDENT "value"; IDENT "of"; id = id_or_meta; ")" ->
id,(InHypValueOnly,ref None)
] ]
;
hypident_occ:
[ [ (id,l)=hypident; occs=occurrences -> (id,occs,l) ] ]
;
clause:
[ [ "in"; "*"; occs=occurrences ->
{onhyps=None;onconcl=true;concl_occs=occs}
| "in"; "*"; "|-"; (b,occs)=concl_occ ->
{onhyps=None; onconcl=b; concl_occs=occs}
| "in"; hl=LIST0 hypident_occ SEP","; "|-"; (b,occs)=concl_occ ->
{onhyps=Some hl; onconcl=b; concl_occs=occs}
| "in"; hl=LIST0 hypident_occ SEP"," ->
{onhyps=Some hl; onconcl=false; concl_occs=[]}
| -> {onhyps=Some[];onconcl=true; concl_occs=[]} ] ]
;
concl_occ:
[ [ "*"; occs = occurrences -> (true,occs)
| -> (false, []) ] ]
;
simple_clause:
[ [ "in"; idl = LIST1 id_or_meta -> idl
| -> [] ] ]
;
fixdecl:
[ [ "("; id = base_ident; bl=LIST0 Constr.binder; ann=fixannot;
":"; ty=lconstr; ")" -> (loc,id,bl,ann,ty) ] ]
;
fixannot:
[ [ "{"; IDENT "struct"; id=name; "}" -> Some id
| -> None ] ]
;
hintbases:
[ [ "with"; "*" -> None
| "with"; l = LIST1 IDENT -> Some l
| -> Some [] ] ]
;
eliminator:
[ [ "using"; el = constr_with_bindings -> el ] ]
;
with_names:
[ [ "as"; ipat = simple_intropattern -> Some ipat | -> None ] ]
;
simple_tactic:
[ [
(* Basic tactics *)
IDENT "intros"; IDENT "until"; id = quantified_hypothesis ->
TacIntrosUntil id
| IDENT "intros"; pl = intropatterns -> TacIntroPattern pl
| IDENT "intro"; id = base_ident; IDENT "after"; id2 = identref ->
TacIntroMove (Some id, Some id2)
| IDENT "intro"; IDENT "after"; id2 = identref ->
TacIntroMove (None, Some id2)
| IDENT "intro"; id = base_ident -> TacIntroMove (Some id, None)
| IDENT "intro" -> TacIntroMove (None, None)
| IDENT "assumption" -> TacAssumption
| IDENT "exact"; c = constr -> TacExact c
| IDENT "apply"; cl = constr_with_bindings -> TacApply cl
| IDENT "elim"; cl = constr_with_bindings; el = OPT eliminator ->
TacElim (cl,el)
| IDENT "elimtype"; c = constr -> TacElimType c
| IDENT "case"; cl = constr_with_bindings -> TacCase cl
| IDENT "casetype"; c = constr -> TacCaseType c
| "fix"; n = natural -> TacFix (None,n)
| "fix"; id = base_ident; n = natural -> TacFix (Some id,n)
| "fix"; id = base_ident; n = natural; "with"; fd = LIST1 fixdecl ->
TacMutualFix (id,n,List.map mk_fix_tac fd)
| "cofix" -> TacCofix None
| "cofix"; id = base_ident -> TacCofix (Some id)
| "cofix"; id = base_ident; "with"; fd = LIST1 fixdecl ->
TacMutualCofix (id,List.map mk_cofix_tac fd)
| IDENT "cut"; c = constr -> TacCut c
| IDENT "assert"; id = lpar_id_colon; t = lconstr; ")" ->
TacTrueCut (Names.Name id,t)
| IDENT "assert"; id = lpar_id_coloneq; b = lconstr; ")" ->
TacForward (false,Names.Name id,b)
| IDENT "assert"; c = constr -> TacTrueCut (Names.Anonymous,c)
| IDENT "pose"; id = lpar_id_coloneq; b = lconstr; ")" ->
TacForward (true,Names.Name id,b)
| IDENT "pose"; b = constr -> TacForward (true,Names.Anonymous,b)
| IDENT "generalize"; lc = LIST1 constr -> TacGeneralize lc
| IDENT "generalize"; IDENT "dependent"; c = constr ->
TacGeneralizeDep c
| IDENT "set"; id = lpar_id_coloneq; c = lconstr; ")";
p = clause -> TacLetTac (Names.Name id,c,p)
| IDENT "set"; c = constr; p = clause ->
TacLetTac (Names.Anonymous,c,p)
| IDENT "instantiate"; "("; n = natural; ":="; c = lconstr; ")";
cls = clause ->
TacInstantiate (n,c,cls)
| IDENT "specialize"; n = OPT natural; lcb = constr_with_bindings ->
TacSpecialize (n,lcb)
| IDENT "lapply"; c = constr -> TacLApply c
(* Derived basic tactics *)
| IDENT "simple"; IDENT"induction"; h = quantified_hypothesis ->
TacSimpleInduction (h,ref [])
| IDENT "induction"; c = induction_arg; ids = with_names;
el = OPT eliminator -> TacNewInduction (c,el,(ids,ref []))
| IDENT "double"; IDENT "induction"; h1 = quantified_hypothesis;
h2 = quantified_hypothesis -> TacDoubleInduction (h1,h2)
| IDENT "simple"; IDENT"destruct"; h = quantified_hypothesis ->
TacSimpleDestruct h
| IDENT "destruct"; c = induction_arg; ids = with_names;
el = OPT eliminator -> TacNewDestruct (c,el,(ids,ref []))
| IDENT "decompose"; IDENT "record" ; c = constr -> TacDecomposeAnd c
| IDENT "decompose"; IDENT "sum"; c = constr -> TacDecomposeOr c
| IDENT "decompose"; "["; l = LIST1 global; "]"; c = constr
-> TacDecompose (l,c)
(* Automation tactic *)
| IDENT "trivial"; db = hintbases -> TacTrivial db
| IDENT "auto"; n = OPT natural; db = hintbases -> TacAuto (n, db)
(* Obsolete since V8.0
| IDENT "autotdb"; n = OPT natural -> TacAutoTDB n
| IDENT "cdhyp"; id = identref -> TacDestructHyp (true,id)
| IDENT "dhyp"; id = identref -> TacDestructHyp (false,id)
| IDENT "dconcl" -> TacDestructConcl
| IDENT "superauto"; l = autoargs -> TacSuperAuto l
*)
| IDENT "auto"; n = OPT natural; IDENT "decomp"; p = OPT natural ->
TacDAuto (n, p)
(* Context management *)
| IDENT "clear"; l = LIST1 id_or_meta -> TacClear l
| IDENT "clearbody"; l = LIST1 id_or_meta -> TacClearBody l
| IDENT "move"; id1 = id_or_meta; IDENT "after"; id2 = id_or_meta ->
TacMove (true,id1,id2)
| IDENT "rename"; id1 = id_or_meta; IDENT "into"; id2 = id_or_meta ->
TacRename (id1,id2)
(* Constructors *)
| IDENT "left"; bl = with_bindings -> TacLeft bl
| IDENT "right"; bl = with_bindings -> TacRight bl
| IDENT "split"; bl = with_bindings -> TacSplit (false,bl)
| "exists"; bl = bindings -> TacSplit (true,bl)
| "exists" -> TacSplit (true,NoBindings)
| IDENT "constructor"; n = num_or_meta; l = with_bindings ->
TacConstructor (n,l)
| IDENT "constructor"; t = OPT tactic -> TacAnyConstructor t
(* Equivalence relations *)
| IDENT "reflexivity" -> TacReflexivity
| IDENT "symmetry"; cls = clause -> TacSymmetry cls
| IDENT "transitivity"; c = constr -> TacTransitivity c
(* Equality and inversion *)
| IDENT "dependent"; k =
[ IDENT "simple"; IDENT "inversion" -> SimpleInversion
| IDENT "inversion" -> FullInversion
| IDENT "inversion_clear" -> FullInversionClear ];
hyp = quantified_hypothesis;
ids = with_names; co = OPT ["with"; c = constr -> c] ->
TacInversion (DepInversion (k,co,ids),hyp)
| IDENT "simple"; IDENT "inversion";
hyp = quantified_hypothesis; ids = with_names; cl = simple_clause ->
TacInversion (NonDepInversion (SimpleInversion, cl, ids), hyp)
| IDENT "inversion";
hyp = quantified_hypothesis; ids = with_names; cl = simple_clause ->
TacInversion (NonDepInversion (FullInversion, cl, ids), hyp)
| IDENT "inversion_clear";
hyp = quantified_hypothesis; ids = with_names; cl = simple_clause ->
TacInversion (NonDepInversion (FullInversionClear, cl, ids), hyp)
| IDENT "inversion"; hyp = quantified_hypothesis;
"using"; c = constr; cl = simple_clause ->
TacInversion (InversionUsing (c,cl), hyp)
(* Conversion *)
| r = red_tactic; cl = clause -> TacReduce (r, cl)
(* Change ne doit pas s'appliquer dans un Definition t := Eval ... *)
| IDENT "change"; (oc,c) = conversion; cl = clause -> TacChange (oc,c,cl)
] ]
;
END;;
|
