summaryrefslogtreecommitdiff
path: root/plugins/ltac/g_tactic.mlg
diff options
context:
space:
mode:
Diffstat (limited to 'plugins/ltac/g_tactic.mlg')
-rw-r--r--plugins/ltac/g_tactic.mlg706
1 files changed, 706 insertions, 0 deletions
diff --git a/plugins/ltac/g_tactic.mlg b/plugins/ltac/g_tactic.mlg
new file mode 100644
index 00000000..571595be
--- /dev/null
+++ b/plugins/ltac/g_tactic.mlg
@@ -0,0 +1,706 @@
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(* * (see LICENSE file for the text of the license) *)
+(************************************************************************)
+
+{
+
+open Pp
+open CErrors
+open Util
+open Names
+open Namegen
+open Tacexpr
+open Genredexpr
+open Constrexpr
+open Libnames
+open Tok
+open Tactypes
+open Tactics
+open Inv
+open Locus
+open Decl_kinds
+
+open Pcoq
+
+
+let all_with delta = Redops.make_red_flag [FBeta;FMatch;FFix;FCofix;FZeta;delta]
+
+let tactic_kw = [ "->"; "<-" ; "by" ]
+let _ = List.iter CLexer.add_keyword tactic_kw
+
+let err () = raise Stream.Failure
+
+(* Hack to parse "(x:=t)" as an explicit argument without conflicts with the *)
+(* admissible notation "(x t)" *)
+let test_lpar_id_coloneq =
+ Gram.Entry.of_parser "lpar_id_coloneq"
+ (fun strm ->
+ match stream_nth 0 strm with
+ | KEYWORD "(" ->
+ (match stream_nth 1 strm with
+ | IDENT _ ->
+ (match stream_nth 2 strm with
+ | KEYWORD ":=" -> ()
+ | _ -> err ())
+ | _ -> err ())
+ | _ -> err ())
+
+(* Hack to recognize "(x)" *)
+let test_lpar_id_rpar =
+ Gram.Entry.of_parser "lpar_id_coloneq"
+ (fun strm ->
+ match stream_nth 0 strm with
+ | KEYWORD "(" ->
+ (match stream_nth 1 strm with
+ | IDENT _ ->
+ (match stream_nth 2 strm with
+ | KEYWORD ")" -> ()
+ | _ -> err ())
+ | _ -> err ())
+ | _ -> err ())
+
+(* idem for (x:=t) and (1:=t) *)
+let test_lpar_idnum_coloneq =
+ Gram.Entry.of_parser "test_lpar_idnum_coloneq"
+ (fun strm ->
+ match stream_nth 0 strm with
+ | KEYWORD "(" ->
+ (match stream_nth 1 strm with
+ | IDENT _ | INT _ ->
+ (match stream_nth 2 strm with
+ | KEYWORD ":=" -> ()
+ | _ -> err ())
+ | _ -> err ())
+ | _ -> err ())
+
+(* idem for (x:t) *)
+open Extraargs
+
+(* idem for (x1..xn:t) [n^2 complexity but exceptional use] *)
+let check_for_coloneq =
+ Gram.Entry.of_parser "lpar_id_colon"
+ (fun strm ->
+ let rec skip_to_rpar p n =
+ match List.last (Stream.npeek n strm) with
+ | KEYWORD "(" -> skip_to_rpar (p+1) (n+1)
+ | KEYWORD ")" -> if Int.equal p 0 then n+1 else skip_to_rpar (p-1) (n+1)
+ | KEYWORD "." -> err ()
+ | _ -> skip_to_rpar p (n+1) in
+ let rec skip_names n =
+ match List.last (Stream.npeek n strm) with
+ | IDENT _ | KEYWORD "_" -> skip_names (n+1)
+ | KEYWORD ":" -> skip_to_rpar 0 (n+1) (* skip a constr *)
+ | _ -> err () in
+ let rec skip_binders n =
+ match List.last (Stream.npeek n strm) with
+ | KEYWORD "(" -> skip_binders (skip_names (n+1))
+ | IDENT _ | KEYWORD "_" -> skip_binders (n+1)
+ | KEYWORD ":=" -> ()
+ | _ -> err () in
+ match stream_nth 0 strm with
+ | KEYWORD "(" -> skip_binders 2
+ | _ -> err ())
+
+let lookup_at_as_comma =
+ Gram.Entry.of_parser "lookup_at_as_comma"
+ (fun strm ->
+ match stream_nth 0 strm with
+ | KEYWORD (","|"at"|"as") -> ()
+ | _ -> err ())
+
+open Constr
+open Prim
+open Pltac
+
+let mk_fix_tac (loc,id,bl,ann,ty) =
+ let n =
+ match bl,ann with
+ [([_],_,_)], None -> 1
+ | _, Some x ->
+ let ids = List.map (fun x -> x.CAst.v) (List.flatten (List.map (fun (nal,_,_) -> nal) bl)) in
+ (try List.index Names.Name.equal x.CAst.v ids
+ with Not_found -> user_err Pp.(str "No such fix variable."))
+ | _ -> user_err Pp.(str "Cannot guess decreasing argument of fix.") in
+ let bl = List.map (fun (nal,bk,t) -> CLocalAssum (nal,bk,t)) bl in
+ (id,n, CAst.make ~loc @@ CProdN(bl,ty))
+
+let mk_cofix_tac (loc,id,bl,ann,ty) =
+ let _ = Option.map (fun { CAst.loc = aloc } ->
+ user_err ?loc:aloc
+ ~hdr:"Constr:mk_cofix_tac"
+ (Pp.str"Annotation forbidden in cofix expression.")) ann in
+ let bl = List.map (fun (nal,bk,t) -> CLocalAssum (nal,bk,t)) bl in
+ (id,CAst.make ~loc @@ CProdN(bl,ty))
+
+(* Functions overloaded by quotifier *)
+let destruction_arg_of_constr (c,lbind as clbind) = match lbind with
+ | NoBindings ->
+ begin
+ try ElimOnIdent (CAst.make ?loc:(Constrexpr_ops.constr_loc c) (Constrexpr_ops.coerce_to_id c).CAst.v)
+ with e when CErrors.noncritical e -> ElimOnConstr clbind
+ end
+ | _ -> ElimOnConstr clbind
+
+let mkNumeral n = Numeral (string_of_int (abs n), 0<=n)
+
+let mkTacCase with_evar = function
+ | [(clear,ElimOnConstr cl),(None,None),None],None ->
+ TacCase (with_evar,(clear,cl))
+ (* Reinterpret numbers as a notation for terms *)
+ | [(clear,ElimOnAnonHyp n),(None,None),None],None ->
+ TacCase (with_evar,
+ (clear,(CAst.make @@ CPrim (mkNumeral n),
+ NoBindings)))
+ (* Reinterpret ident as notations for variables in the context *)
+ (* because we don't know if they are quantified or not *)
+ | [(clear,ElimOnIdent id),(None,None),None],None ->
+ TacCase (with_evar,(clear,(CAst.make @@ CRef (qualid_of_ident ?loc:id.CAst.loc id.CAst.v,None),NoBindings)))
+ | ic ->
+ if List.exists (function ((_, ElimOnAnonHyp _),_,_) -> true | _ -> false) (fst ic)
+ then
+ user_err Pp.(str "Use of numbers as direct arguments of 'case' is not supported.");
+ TacInductionDestruct (false,with_evar,ic)
+
+let rec mkCLambdaN_simple_loc ?loc bll c =
+ match bll with
+ | ({CAst.loc = loc1}::_ as idl,bk,t) :: bll ->
+ CAst.make ?loc @@ CLambdaN ([CLocalAssum (idl,bk,t)],mkCLambdaN_simple_loc ?loc:(Loc.merge_opt loc1 loc) bll c)
+ | ([],_,_) :: bll -> mkCLambdaN_simple_loc ?loc bll c
+ | [] -> c
+
+let mkCLambdaN_simple bl c = match bl with
+ | [] -> c
+ | h :: _ ->
+ let loc = Loc.merge_opt (List.hd (pi1 h)).CAst.loc (Constrexpr_ops.constr_loc c) in
+ mkCLambdaN_simple_loc ?loc bl c
+
+let loc_of_ne_list l = Loc.merge_opt (List.hd l).CAst.loc (List.last l).CAst.loc
+
+let map_int_or_var f = function
+ | ArgArg x -> ArgArg (f x)
+ | ArgVar _ as y -> y
+
+let all_concl_occs_clause = { onhyps=Some[]; concl_occs=AllOccurrences }
+
+let merge_occurrences loc cl = function
+ | None ->
+ if Locusops.clause_with_generic_occurrences cl then (None, cl)
+ else
+ user_err ~loc (str "Found an \"at\" clause without \"with\" clause.")
+ | Some (occs, p) ->
+ let ans = match occs with
+ | AllOccurrences -> cl
+ | _ ->
+ begin match cl with
+ | { onhyps = Some []; concl_occs = AllOccurrences } ->
+ { onhyps = Some []; concl_occs = occs }
+ | { onhyps = Some [(AllOccurrences, id), l]; concl_occs = NoOccurrences } ->
+ { cl with onhyps = Some [(occs, id), l] }
+ | _ ->
+ if Locusops.clause_with_generic_occurrences cl then
+ user_err ~loc (str "Unable to interpret the \"at\" clause; move it in the \"in\" clause.")
+ else
+ user_err ~loc (str "Cannot use clause \"at\" twice.")
+ end
+ in
+ (Some p, ans)
+
+let warn_deprecated_eqn_syntax =
+ CWarnings.create ~name:"deprecated-eqn-syntax" ~category:"deprecated"
+ (fun arg -> strbrk (Printf.sprintf "Syntax \"_eqn:%s\" is deprecated. Please use \"eqn:%s\" instead." arg arg))
+
+(* Auxiliary grammar rules *)
+
+open Pvernac.Vernac_
+
+}
+
+GRAMMAR EXTEND Gram
+ GLOBAL: simple_tactic constr_with_bindings quantified_hypothesis
+ bindings red_expr int_or_var open_constr uconstr
+ simple_intropattern in_clause clause_dft_concl hypident destruction_arg;
+
+ int_or_var:
+ [ [ n = integer -> { ArgArg n }
+ | id = identref -> { ArgVar id } ] ]
+ ;
+ nat_or_var:
+ [ [ n = natural -> { ArgArg n }
+ | id = identref -> { ArgVar id } ] ]
+ ;
+ (* An identifier or a quotation meta-variable *)
+ id_or_meta:
+ [ [ id = identref -> { id } ] ]
+ ;
+ open_constr:
+ [ [ c = constr -> { c } ] ]
+ ;
+ uconstr:
+ [ [ c = constr -> { c } ] ]
+ ;
+ destruction_arg:
+ [ [ n = natural -> { (None,ElimOnAnonHyp n) }
+ | test_lpar_id_rpar; c = constr_with_bindings ->
+ { (Some false,destruction_arg_of_constr c) }
+ | c = constr_with_bindings_arg -> { on_snd destruction_arg_of_constr c }
+ ] ]
+ ;
+ constr_with_bindings_arg:
+ [ [ ">"; c = constr_with_bindings -> { (Some true,c) }
+ | c = constr_with_bindings -> { (None,c) } ] ]
+ ;
+ quantified_hypothesis:
+ [ [ id = ident -> { NamedHyp id }
+ | n = natural -> { AnonHyp n } ] ]
+ ;
+ conversion:
+ [ [ c = constr -> { (None, c) }
+ | c1 = constr; "with"; c2 = constr -> { (Some (AllOccurrences,c1),c2) }
+ | c1 = constr; "at"; occs = occs_nums; "with"; c2 = constr ->
+ { (Some (occs,c1), c2) } ] ]
+ ;
+ occs_nums:
+ [ [ nl = LIST1 nat_or_var -> { OnlyOccurrences nl }
+ | "-"; n = nat_or_var; nl = LIST0 int_or_var ->
+ (* have used int_or_var instead of nat_or_var for compatibility *)
+ { AllOccurrencesBut (List.map (map_int_or_var abs) (n::nl)) } ] ]
+ ;
+ occs:
+ [ [ "at"; occs = occs_nums -> { occs } | -> { AllOccurrences } ] ]
+ ;
+ pattern_occ:
+ [ [ c = constr; nl = occs -> { (nl,c) } ] ]
+ ;
+ ref_or_pattern_occ:
+ (* If a string, it is interpreted as a ref
+ (anyway a Coq string does not reduce) *)
+ [ [ c = smart_global; nl = occs -> { nl,Inl c }
+ | c = constr; nl = occs -> { nl,Inr c } ] ]
+ ;
+ unfold_occ:
+ [ [ c = smart_global; nl = occs -> { (nl,c) } ] ]
+ ;
+ intropatterns:
+ [ [ l = LIST0 nonsimple_intropattern -> { l } ] ]
+ ;
+ ne_intropatterns:
+ [ [ l = LIST1 nonsimple_intropattern -> { l } ] ]
+ ;
+ or_and_intropattern:
+ [ [ "["; tc = LIST1 intropatterns SEP "|"; "]" -> { IntroOrPattern tc }
+ | "()" -> { IntroAndPattern [] }
+ | "("; si = simple_intropattern; ")" -> { IntroAndPattern [si] }
+ | "("; si = simple_intropattern; ",";
+ tc = LIST1 simple_intropattern SEP "," ; ")" ->
+ { IntroAndPattern (si::tc) }
+ | "("; si = simple_intropattern; "&";
+ tc = LIST1 simple_intropattern SEP "&" ; ")" ->
+ (* (A & B & C) is translated into (A,(B,C)) *)
+ { let rec pairify = function
+ | ([]|[_]|[_;_]) as l -> l
+ | t::q -> [t; CAst.make ?loc:(loc_of_ne_list q) (IntroAction (IntroOrAndPattern (IntroAndPattern (pairify q))))]
+ in IntroAndPattern (pairify (si::tc)) } ] ]
+ ;
+ equality_intropattern:
+ [ [ "->" -> { IntroRewrite true }
+ | "<-" -> { IntroRewrite false }
+ | "[="; tc = intropatterns; "]" -> { IntroInjection tc } ] ]
+ ;
+ naming_intropattern:
+ [ [ prefix = pattern_ident -> { IntroFresh prefix }
+ | "?" -> { IntroAnonymous }
+ | id = ident -> { IntroIdentifier id } ] ]
+ ;
+ nonsimple_intropattern:
+ [ [ l = simple_intropattern -> { l }
+ | "*" -> { CAst.make ~loc @@ IntroForthcoming true }
+ | "**" -> { CAst.make ~loc @@ IntroForthcoming false } ] ]
+ ;
+ simple_intropattern:
+ [ [ pat = simple_intropattern_closed;
+ l = LIST0 ["%"; c = operconstr LEVEL "0" -> { c } ] ->
+ { let {CAst.loc=loc0;v=pat} = pat in
+ let f c pat =
+ let loc1 = Constrexpr_ops.constr_loc c in
+ let loc = Loc.merge_opt loc0 loc1 in
+ IntroAction (IntroApplyOn (CAst.(make ?loc:loc1 c),CAst.(make ?loc pat))) in
+ CAst.make ~loc @@ List.fold_right f l pat } ] ]
+ ;
+ simple_intropattern_closed:
+ [ [ pat = or_and_intropattern -> { CAst.make ~loc @@ IntroAction (IntroOrAndPattern pat) }
+ | pat = equality_intropattern -> { CAst.make ~loc @@ IntroAction pat }
+ | "_" -> { CAst.make ~loc @@ IntroAction IntroWildcard }
+ | pat = naming_intropattern -> { CAst.make ~loc @@ IntroNaming pat } ] ]
+ ;
+ simple_binding:
+ [ [ "("; id = ident; ":="; c = lconstr; ")" -> { CAst.make ~loc (NamedHyp id, c) }
+ | "("; n = natural; ":="; c = lconstr; ")" -> { CAst.make ~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_flags:
+ [ [ IDENT "beta" -> { [FBeta] }
+ | IDENT "iota" -> { [FMatch;FFix;FCofix] }
+ | IDENT "match" -> { [FMatch] }
+ | IDENT "fix" -> { [FFix] }
+ | IDENT "cofix" -> { [FCofix] }
+ | IDENT "zeta" -> { [FZeta] }
+ | IDENT "delta"; d = delta_flag -> { [d] }
+ ] ]
+ ;
+ delta_flag:
+ [ [ "-"; "["; idl = LIST1 smart_global; "]" -> { FDeltaBut idl }
+ | "["; idl = LIST1 smart_global; "]" -> { FConst idl }
+ | -> { FDeltaBut [] }
+ ] ]
+ ;
+ strategy_flag:
+ [ [ s = LIST1 red_flags -> { Redops.make_red_flag (List.flatten s) }
+ | d = delta_flag -> { all_with d }
+ ] ]
+ ;
+ red_expr:
+ [ [ IDENT "red" -> { Red false }
+ | IDENT "hnf" -> { Hnf }
+ | IDENT "simpl"; d = delta_flag; po = OPT ref_or_pattern_occ -> { Simpl (all_with d,po) }
+ | IDENT "cbv"; s = strategy_flag -> { Cbv s }
+ | IDENT "cbn"; s = strategy_flag -> { Cbn s }
+ | IDENT "lazy"; s = strategy_flag -> { Lazy s }
+ | IDENT "compute"; delta = delta_flag -> { Cbv (all_with delta) }
+ | IDENT "vm_compute"; po = OPT ref_or_pattern_occ -> { CbvVm po }
+ | IDENT "native_compute"; po = OPT ref_or_pattern_occ -> { CbvNative po }
+ | 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 }
+ | s = IDENT -> { ExtraRedExpr s } ] ]
+ ;
+ hypident:
+ [ [ id = id_or_meta ->
+ { let id : lident = id in
+ id,InHyp }
+ | "("; IDENT "type"; IDENT "of"; id = id_or_meta; ")" ->
+ { let id : lident = id in
+ id,InHypTypeOnly }
+ | "("; IDENT "value"; IDENT "of"; id = id_or_meta; ")" ->
+ { let id : lident = id in
+ id,InHypValueOnly }
+ ] ]
+ ;
+ hypident_occ:
+ [ [ h=hypident; occs=occs ->
+ { let (id,l) = h in
+ let id : lident = id in
+ ((occs,id),l) } ] ]
+ ;
+ in_clause:
+ [ [ "*"; occs=occs ->
+ { {onhyps=None; concl_occs=occs} }
+ | "*"; "|-"; occs=concl_occ ->
+ { {onhyps=None; concl_occs=occs} }
+ | hl=LIST0 hypident_occ SEP","; "|-"; occs=concl_occ ->
+ { {onhyps=Some hl; concl_occs=occs} }
+ | hl=LIST0 hypident_occ SEP"," ->
+ { {onhyps=Some hl; concl_occs=NoOccurrences} } ] ]
+ ;
+ clause_dft_concl:
+ [ [ "in"; cl = in_clause -> { cl }
+ | occs=occs -> { {onhyps=Some[]; concl_occs=occs} }
+ | -> { all_concl_occs_clause } ] ]
+ ;
+ clause_dft_all:
+ [ [ "in"; cl = in_clause -> { cl }
+ | -> { {onhyps=None; concl_occs=AllOccurrences} } ] ]
+ ;
+ opt_clause:
+ [ [ "in"; cl = in_clause -> { Some cl }
+ | "at"; occs = occs_nums -> { Some {onhyps=Some[]; concl_occs=occs} }
+ | -> { None } ] ]
+ ;
+ concl_occ:
+ [ [ "*"; occs = occs -> { occs }
+ | -> { NoOccurrences } ] ]
+ ;
+ in_hyp_list:
+ [ [ "in"; idl = LIST1 id_or_meta -> { idl }
+ | -> { [] } ] ]
+ ;
+ in_hyp_as:
+ [ [ "in"; id = id_or_meta; ipat = as_ipat -> { Some (id,ipat) }
+ | -> { None } ] ]
+ ;
+ orient:
+ [ [ "->" -> { true }
+ | "<-" -> { false }
+ | -> { true } ] ]
+ ;
+ simple_binder:
+ [ [ na=name -> { ([na],Default Explicit, CAst.make ~loc @@
+ CHole (Some (Evar_kinds.BinderType na.CAst.v), IntroAnonymous, None)) }
+ | "("; nal=LIST1 name; ":"; c=lconstr; ")" -> { (nal,Default Explicit,c) }
+ ] ]
+ ;
+ fixdecl:
+ [ [ "("; id = ident; bl=LIST0 simple_binder; ann=fixannot;
+ ":"; ty=lconstr; ")" -> { (loc, id, bl, ann, ty) } ] ]
+ ;
+ fixannot:
+ [ [ "{"; IDENT "struct"; id=name; "}" -> { Some id }
+ | -> { None } ] ]
+ ;
+ cofixdecl:
+ [ [ "("; id = ident; bl=LIST0 simple_binder; ":"; ty=lconstr; ")" ->
+ { (loc, id, bl, None, ty) } ] ]
+ ;
+ bindings_with_parameters:
+ [ [ check_for_coloneq; "("; id = ident; bl = LIST0 simple_binder;
+ ":="; c = lconstr; ")" -> { (id, mkCLambdaN_simple bl c) } ] ]
+ ;
+ eliminator:
+ [ [ "using"; el = constr_with_bindings -> { el } ] ]
+ ;
+ as_ipat:
+ [ [ "as"; ipat = simple_intropattern -> { Some ipat }
+ | -> { None } ] ]
+ ;
+ or_and_intropattern_loc:
+ [ [ ipat = or_and_intropattern -> { ArgArg (CAst.make ~loc ipat) }
+ | locid = identref -> { ArgVar locid } ] ]
+ ;
+ as_or_and_ipat:
+ [ [ "as"; ipat = or_and_intropattern_loc -> { Some ipat }
+ | -> { None } ] ]
+ ;
+ eqn_ipat:
+ [ [ IDENT "eqn"; ":"; pat = naming_intropattern -> { Some (CAst.make ~loc pat) }
+ | IDENT "_eqn"; ":"; pat = naming_intropattern ->
+ { warn_deprecated_eqn_syntax ~loc "H"; Some (CAst.make ~loc pat) }
+ | IDENT "_eqn" ->
+ { warn_deprecated_eqn_syntax ~loc "?"; Some (CAst.make ~loc IntroAnonymous) }
+ | -> { None } ] ]
+ ;
+ as_name:
+ [ [ "as"; id = ident -> { Names.Name.Name id } | -> { Names.Name.Anonymous } ] ]
+ ;
+ by_tactic:
+ [ [ "by"; tac = tactic_expr LEVEL "3" -> { Some tac }
+ | -> { None } ] ]
+ ;
+ rewriter :
+ [ [ "!"; c = constr_with_bindings_arg -> { (Equality.RepeatPlus,c) }
+ | ["?" -> { () } | LEFTQMARK -> { () } ]; c = constr_with_bindings_arg -> { (Equality.RepeatStar,c) }
+ | n = natural; "!"; c = constr_with_bindings_arg -> { (Equality.Precisely n,c) }
+ | n = natural; ["?" -> { () } | LEFTQMARK -> { () } ]; c = constr_with_bindings_arg -> { (Equality.UpTo n,c) }
+ | n = natural; c = constr_with_bindings_arg -> { (Equality.Precisely n,c) }
+ | c = constr_with_bindings_arg -> { (Equality.Precisely 1, c) }
+ ] ]
+ ;
+ oriented_rewriter :
+ [ [ b = orient; p = rewriter -> { let (m,c) = p in (b,m,c) } ] ]
+ ;
+ induction_clause:
+ [ [ c = destruction_arg; pat = as_or_and_ipat; eq = eqn_ipat;
+ cl = opt_clause -> { (c,(eq,pat),cl) } ] ]
+ ;
+ induction_clause_list:
+ [ [ ic = LIST1 induction_clause SEP ","; el = OPT eliminator;
+ cl_tolerance = opt_clause ->
+ (* Condition for accepting "in" at the end by compatibility *)
+ { match ic,el,cl_tolerance with
+ | [c,pat,None],Some _,Some _ -> ([c,pat,cl_tolerance],el)
+ | _,_,Some _ -> err ()
+ | _,_,None -> (ic,el) } ] ]
+ ;
+ simple_tactic:
+ [ [
+ (* Basic tactics *)
+ IDENT "intros"; pl = ne_intropatterns ->
+ { TacAtom (Loc.tag ~loc @@ TacIntroPattern (false,pl)) }
+ | IDENT "intros" ->
+ { TacAtom (Loc.tag ~loc @@ TacIntroPattern (false,[CAst.make ~loc @@IntroForthcoming false])) }
+ | IDENT "eintros"; pl = ne_intropatterns ->
+ { TacAtom (Loc.tag ~loc @@ TacIntroPattern (true,pl)) }
+
+ | IDENT "apply"; cl = LIST1 constr_with_bindings_arg SEP ",";
+ inhyp = in_hyp_as -> { TacAtom (Loc.tag ~loc @@ TacApply (true,false,cl,inhyp)) }
+ | IDENT "eapply"; cl = LIST1 constr_with_bindings_arg SEP ",";
+ inhyp = in_hyp_as -> { TacAtom (Loc.tag ~loc @@ TacApply (true,true,cl,inhyp)) }
+ | IDENT "simple"; IDENT "apply";
+ cl = LIST1 constr_with_bindings_arg SEP ",";
+ inhyp = in_hyp_as -> { TacAtom (Loc.tag ~loc @@ TacApply (false,false,cl,inhyp)) }
+ | IDENT "simple"; IDENT "eapply";
+ cl = LIST1 constr_with_bindings_arg SEP",";
+ inhyp = in_hyp_as -> { TacAtom (Loc.tag ~loc @@ TacApply (false,true,cl,inhyp)) }
+ | IDENT "elim"; cl = constr_with_bindings_arg; el = OPT eliminator ->
+ { TacAtom (Loc.tag ~loc @@ TacElim (false,cl,el)) }
+ | IDENT "eelim"; cl = constr_with_bindings_arg; el = OPT eliminator ->
+ { TacAtom (Loc.tag ~loc @@ TacElim (true,cl,el)) }
+ | IDENT "case"; icl = induction_clause_list -> { TacAtom (Loc.tag ~loc @@ mkTacCase false icl) }
+ | IDENT "ecase"; icl = induction_clause_list -> { TacAtom (Loc.tag ~loc @@ mkTacCase true icl) }
+ | "fix"; id = ident; n = natural; "with"; fd = LIST1 fixdecl ->
+ { TacAtom (Loc.tag ~loc @@ TacMutualFix (id,n,List.map mk_fix_tac fd)) }
+ | "cofix"; id = ident; "with"; fd = LIST1 cofixdecl ->
+ { TacAtom (Loc.tag ~loc @@ TacMutualCofix (id,List.map mk_cofix_tac fd)) }
+
+ | IDENT "pose"; bl = bindings_with_parameters ->
+ { let (id,b) = bl in TacAtom (Loc.tag ~loc @@ TacLetTac (false,Names.Name.Name id,b,Locusops.nowhere,true,None)) }
+ | IDENT "pose"; b = constr; na = as_name ->
+ { TacAtom (Loc.tag ~loc @@ TacLetTac (false,na,b,Locusops.nowhere,true,None)) }
+ | IDENT "epose"; bl = bindings_with_parameters ->
+ { let (id,b) = bl in TacAtom (Loc.tag ~loc @@ TacLetTac (true,Names.Name id,b,Locusops.nowhere,true,None)) }
+ | IDENT "epose"; b = constr; na = as_name ->
+ { TacAtom (Loc.tag ~loc @@ TacLetTac (true,na,b,Locusops.nowhere,true,None)) }
+ | IDENT "set"; bl = bindings_with_parameters; p = clause_dft_concl ->
+ { let (id,c) = bl in TacAtom (Loc.tag ~loc @@ TacLetTac (false,Names.Name.Name id,c,p,true,None)) }
+ | IDENT "set"; c = constr; na = as_name; p = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacLetTac (false,na,c,p,true,None)) }
+ | IDENT "eset"; bl = bindings_with_parameters; p = clause_dft_concl ->
+ { let (id,c) = bl in TacAtom (Loc.tag ~loc @@ TacLetTac (true,Names.Name id,c,p,true,None)) }
+ | IDENT "eset"; c = constr; na = as_name; p = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacLetTac (true,na,c,p,true,None)) }
+ | IDENT "remember"; c = constr; na = as_name; e = eqn_ipat;
+ p = clause_dft_all ->
+ { TacAtom (Loc.tag ~loc @@ TacLetTac (false,na,c,p,false,e)) }
+ | IDENT "eremember"; c = constr; na = as_name; e = eqn_ipat;
+ p = clause_dft_all ->
+ { TacAtom (Loc.tag ~loc @@ TacLetTac (true,na,c,p,false,e)) }
+
+ (* Alternative syntax for "pose proof c as id" *)
+ | IDENT "assert"; test_lpar_id_coloneq; "("; lid = identref; ":=";
+ c = lconstr; ")" ->
+ { let { CAst.loc = loc; v = id } = lid in
+ TacAtom (Loc.tag ?loc @@ TacAssert (false,true,None,Some (CAst.make ?loc @@ IntroNaming (IntroIdentifier id)),c)) }
+ | IDENT "eassert"; test_lpar_id_coloneq; "("; lid = identref; ":=";
+ c = lconstr; ")" ->
+ { let { CAst.loc = loc; v = id } = lid in
+ TacAtom (Loc.tag ?loc @@ TacAssert (true,true,None,Some (CAst.make ?loc @@ IntroNaming (IntroIdentifier id)),c)) }
+
+ (* Alternative syntax for "assert c as id by tac" *)
+ | IDENT "assert"; test_lpar_id_colon; "("; lid = identref; ":";
+ c = lconstr; ")"; tac=by_tactic ->
+ { let { CAst.loc = loc; v = id } = lid in
+ TacAtom (Loc.tag ?loc @@ TacAssert (false,true,Some tac,Some (CAst.make ?loc @@ IntroNaming (IntroIdentifier id)),c)) }
+ | IDENT "eassert"; test_lpar_id_colon; "("; lid = identref; ":";
+ c = lconstr; ")"; tac=by_tactic ->
+ { let { CAst.loc = loc; v = id } = lid in
+ TacAtom (Loc.tag ?loc @@ TacAssert (true,true,Some tac,Some (CAst.make ?loc @@ IntroNaming (IntroIdentifier id)),c)) }
+
+ (* Alternative syntax for "enough c as id by tac" *)
+ | IDENT "enough"; test_lpar_id_colon; "("; lid = identref; ":";
+ c = lconstr; ")"; tac=by_tactic ->
+ { let { CAst.loc = loc; v = id } = lid in
+ TacAtom (Loc.tag ?loc @@ TacAssert (false,false,Some tac,Some (CAst.make ?loc @@ IntroNaming (IntroIdentifier id)),c)) }
+ | IDENT "eenough"; test_lpar_id_colon; "("; lid = identref; ":";
+ c = lconstr; ")"; tac=by_tactic ->
+ { let { CAst.loc = loc; v = id } = lid in
+ TacAtom (Loc.tag ?loc @@ TacAssert (true,false,Some tac,Some (CAst.make ?loc @@ IntroNaming (IntroIdentifier id)),c)) }
+
+ | IDENT "assert"; c = constr; ipat = as_ipat; tac = by_tactic ->
+ { TacAtom (Loc.tag ~loc @@ TacAssert (false,true,Some tac,ipat,c)) }
+ | IDENT "eassert"; c = constr; ipat = as_ipat; tac = by_tactic ->
+ { TacAtom (Loc.tag ~loc @@ TacAssert (true,true,Some tac,ipat,c)) }
+ | IDENT "pose"; IDENT "proof"; c = lconstr; ipat = as_ipat ->
+ { TacAtom (Loc.tag ~loc @@ TacAssert (false,true,None,ipat,c)) }
+ | IDENT "epose"; IDENT "proof"; c = lconstr; ipat = as_ipat ->
+ { TacAtom (Loc.tag ~loc @@ TacAssert (true,true,None,ipat,c)) }
+ | IDENT "enough"; c = constr; ipat = as_ipat; tac = by_tactic ->
+ { TacAtom (Loc.tag ~loc @@ TacAssert (false,false,Some tac,ipat,c)) }
+ | IDENT "eenough"; c = constr; ipat = as_ipat; tac = by_tactic ->
+ { TacAtom (Loc.tag ~loc @@ TacAssert (true,false,Some tac,ipat,c)) }
+
+ | IDENT "generalize"; c = constr ->
+ { TacAtom (Loc.tag ~loc @@ TacGeneralize [((AllOccurrences,c),Names.Name.Anonymous)]) }
+ | IDENT "generalize"; c = constr; l = LIST1 constr ->
+ { let gen_everywhere c = ((AllOccurrences,c),Names.Name.Anonymous) in
+ TacAtom (Loc.tag ~loc @@ TacGeneralize (List.map gen_everywhere (c::l))) }
+ | IDENT "generalize"; c = constr; lookup_at_as_comma; nl = occs;
+ na = as_name;
+ l = LIST0 [","; c = pattern_occ; na = as_name -> { (c,na) } ] ->
+ { TacAtom (Loc.tag ~loc @@ TacGeneralize (((nl,c),na)::l)) }
+
+ (* Derived basic tactics *)
+ | IDENT "induction"; ic = induction_clause_list ->
+ { TacAtom (Loc.tag ~loc @@ TacInductionDestruct (true,false,ic)) }
+ | IDENT "einduction"; ic = induction_clause_list ->
+ { TacAtom (Loc.tag ~loc @@ TacInductionDestruct(true,true,ic)) }
+ | IDENT "destruct"; icl = induction_clause_list ->
+ { TacAtom (Loc.tag ~loc @@ TacInductionDestruct(false,false,icl)) }
+ | IDENT "edestruct"; icl = induction_clause_list ->
+ { TacAtom (Loc.tag ~loc @@ TacInductionDestruct(false,true,icl)) }
+
+ (* Equality and inversion *)
+ | IDENT "rewrite"; l = LIST1 oriented_rewriter SEP ",";
+ cl = clause_dft_concl; t=by_tactic -> { TacAtom (Loc.tag ~loc @@ TacRewrite (false,l,cl,t)) }
+ | IDENT "erewrite"; l = LIST1 oriented_rewriter SEP ",";
+ cl = clause_dft_concl; t=by_tactic -> { TacAtom (Loc.tag ~loc @@ TacRewrite (true,l,cl,t)) }
+ | IDENT "dependent"; k =
+ [ IDENT "simple"; IDENT "inversion" -> { SimpleInversion }
+ | IDENT "inversion" -> { FullInversion }
+ | IDENT "inversion_clear" -> { FullInversionClear } ];
+ hyp = quantified_hypothesis;
+ ids = as_or_and_ipat; co = OPT ["with"; c = constr -> { c } ] ->
+ { TacAtom (Loc.tag ~loc @@ TacInversion (DepInversion (k,co,ids),hyp)) }
+ | IDENT "simple"; IDENT "inversion";
+ hyp = quantified_hypothesis; ids = as_or_and_ipat;
+ cl = in_hyp_list ->
+ { TacAtom (Loc.tag ~loc @@ TacInversion (NonDepInversion (SimpleInversion, cl, ids), hyp)) }
+ | IDENT "inversion";
+ hyp = quantified_hypothesis; ids = as_or_and_ipat;
+ cl = in_hyp_list ->
+ { TacAtom (Loc.tag ~loc @@ TacInversion (NonDepInversion (FullInversion, cl, ids), hyp)) }
+ | IDENT "inversion_clear";
+ hyp = quantified_hypothesis; ids = as_or_and_ipat;
+ cl = in_hyp_list ->
+ { TacAtom (Loc.tag ~loc @@ TacInversion (NonDepInversion (FullInversionClear, cl, ids), hyp)) }
+ | IDENT "inversion"; hyp = quantified_hypothesis;
+ "using"; c = constr; cl = in_hyp_list ->
+ { TacAtom (Loc.tag ~loc @@ TacInversion (InversionUsing (c,cl), hyp)) }
+
+ (* Conversion *)
+ | IDENT "red"; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (Red false, cl)) }
+ | IDENT "hnf"; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (Hnf, cl)) }
+ | IDENT "simpl"; d = delta_flag; po = OPT ref_or_pattern_occ; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (Simpl (all_with d, po), cl)) }
+ | IDENT "cbv"; s = strategy_flag; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (Cbv s, cl)) }
+ | IDENT "cbn"; s = strategy_flag; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (Cbn s, cl)) }
+ | IDENT "lazy"; s = strategy_flag; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (Lazy s, cl)) }
+ | IDENT "compute"; delta = delta_flag; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (Cbv (all_with delta), cl)) }
+ | IDENT "vm_compute"; po = OPT ref_or_pattern_occ; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (CbvVm po, cl)) }
+ | IDENT "native_compute"; po = OPT ref_or_pattern_occ; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (CbvNative po, cl)) }
+ | IDENT "unfold"; ul = LIST1 unfold_occ SEP ","; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (Unfold ul, cl)) }
+ | IDENT "fold"; l = LIST1 constr; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (Fold l, cl)) }
+ | IDENT "pattern"; pl = LIST1 pattern_occ SEP","; cl = clause_dft_concl ->
+ { TacAtom (Loc.tag ~loc @@ TacReduce (Pattern pl, cl)) }
+
+ (* Change ne doit pas s'appliquer dans un Definition t := Eval ... *)
+ | IDENT "change"; c = conversion; cl = clause_dft_concl ->
+ { let (oc, c) = c in
+ let p,cl = merge_occurrences loc cl oc in
+ TacAtom (Loc.tag ~loc @@ TacChange (p,c,cl)) }
+ ] ]
+ ;
+END