author | wenzelm |
Wed, 19 Dec 2001 00:26:04 +0100 | |
changeset 12546 | 0c90e581379f |
parent 12399 | 2ba27248af7f |
child 12829 | c92128238f85 |
permissions | -rw-r--r-- |
5824 | 1 |
(* Title: Pure/Isar/method.ML |
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ID: $Id$ |
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Author: Markus Wenzel, TU Muenchen |
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License: GPL (GNU GENERAL PUBLIC LICENSE) |
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Proof methods. |
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*) |
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signature BASIC_METHOD = |
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sig |
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val trace_rules: bool ref |
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val print_methods: theory -> unit |
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val Method: bstring -> (Args.src -> Proof.context -> Proof.method) -> string -> unit |
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end; |
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||
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signature METHOD = |
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sig |
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include BASIC_METHOD |
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val trace: Proof.context -> thm list -> unit |
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val RAW_METHOD: (thm list -> tactic) -> Proof.method |
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val RAW_METHOD_CASES: |
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(thm list -> thm -> (thm * (string * RuleCases.T) list) Seq.seq) -> Proof.method |
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val METHOD: (thm list -> tactic) -> Proof.method |
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val METHOD_CASES: |
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(thm list -> thm -> (thm * (string * RuleCases.T) list) Seq.seq) -> Proof.method |
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val SIMPLE_METHOD: tactic -> Proof.method |
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val SIMPLE_METHOD': ((int -> tactic) -> tactic) -> (int -> tactic) -> Proof.method |
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val fail: Proof.method |
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val succeed: Proof.method |
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val defer: int option -> Proof.method |
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val prefer: int -> Proof.method |
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val insert_tac: thm list -> int -> tactic |
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val insert: thm list -> Proof.method |
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val insert_facts: Proof.method |
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val unfold: thm list -> Proof.method |
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val fold: thm list -> Proof.method |
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val multi_resolve: thm list -> thm -> thm Seq.seq |
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val multi_resolves: thm list -> thm list -> thm Seq.seq |
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val rules_tac: Proof.context -> int option -> int -> tactic |
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val rule_tac: thm list -> thm list -> int -> tactic |
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val some_rule_tac: thm list -> Proof.context -> thm list -> int -> tactic |
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val rule: thm list -> Proof.method |
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val erule: int -> thm list -> Proof.method |
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val drule: int -> thm list -> Proof.method |
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val frule: int -> thm list -> Proof.method |
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val this: Proof.method |
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val assumption: Proof.context -> Proof.method |
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val impose_hyps_tac: Proof.context -> tactic |
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val set_tactic: (Proof.context -> thm list -> tactic) -> unit |
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val tactic: string -> Proof.context -> Proof.method |
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exception METHOD_FAIL of (string * Position.T) * exn |
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val method: theory -> Args.src -> Proof.context -> Proof.method |
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val add_method: bstring * (Args.src -> Proof.context -> Proof.method) * string |
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-> theory -> theory |
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val add_methods: (bstring * (Args.src -> Proof.context -> Proof.method) * string) list |
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-> theory -> theory |
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val syntax: (Proof.context * Args.T list -> 'a * (Proof.context * Args.T list)) -> |
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Args.src -> Proof.context -> Proof.context * 'a |
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val simple_args: (Args.T list -> 'a * Args.T list) |
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-> ('a -> Proof.context -> Proof.method) -> Args.src -> Proof.context -> Proof.method |
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val ctxt_args: (Proof.context -> Proof.method) -> Args.src -> Proof.context -> Proof.method |
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val no_args: Proof.method -> Args.src -> Proof.context -> Proof.method |
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type modifier |
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val sectioned_args: (Proof.context * Args.T list -> 'a * (Proof.context * Args.T list)) -> |
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(Args.T list -> modifier * Args.T list) list -> |
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('a -> Proof.context -> 'b) -> Args.src -> Proof.context -> 'b |
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val bang_sectioned_args: |
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(Args.T list -> modifier * Args.T list) list -> |
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(thm list -> Proof.context -> 'a) -> Args.src -> Proof.context -> 'a |
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val bang_sectioned_args': |
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(Args.T list -> modifier * Args.T list) list -> |
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(Proof.context * Args.T list -> 'a * (Proof.context * Args.T list)) -> |
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('a -> thm list -> Proof.context -> 'b) -> Args.src -> Proof.context -> 'b |
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val only_sectioned_args: |
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(Args.T list -> modifier * Args.T list) list -> |
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(Proof.context -> 'a) -> Args.src -> Proof.context -> 'a |
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val thms_ctxt_args: (thm list -> Proof.context -> 'a) -> Args.src -> Proof.context -> 'a |
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val thms_args: (thm list -> 'a) -> Args.src -> Proof.context -> 'a |
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val thm_args: (thm -> 'a) -> Args.src -> Proof.context -> 'a |
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datatype text = |
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Basic of (Proof.context -> Proof.method) | |
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Source of Args.src | |
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Then of text list | |
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Orelse of text list | |
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Try of text | |
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Repeat1 of text |
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val refine: text -> Proof.state -> Proof.state Seq.seq |
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val refine_end: text -> Proof.state -> Proof.state Seq.seq |
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val proof: text option -> Proof.state -> Proof.state Seq.seq |
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val local_qed: bool -> text option |
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-> (Proof.context -> string * (string * thm list) list -> unit) * |
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(Proof.context -> thm -> unit) -> Proof.state -> Proof.state Seq.seq |
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val local_terminal_proof: text * text option |
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-> (Proof.context -> string * (string * thm list) list -> unit) * |
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(Proof.context -> thm -> unit) -> Proof.state -> Proof.state Seq.seq |
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val local_default_proof: (Proof.context -> string * (string * thm list) list -> unit) * |
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(Proof.context -> thm -> unit) -> Proof.state -> Proof.state Seq.seq |
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val local_immediate_proof: (Proof.context -> string * (string * thm list) list -> unit) * |
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(Proof.context -> thm -> unit) -> Proof.state -> Proof.state Seq.seq |
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val local_done_proof: (Proof.context -> string * (string * thm list) list -> unit) * |
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(Proof.context -> thm -> unit) -> Proof.state -> Proof.state Seq.seq |
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val global_qed: bool -> text option |
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-> Proof.state -> theory * ((string * string) * (string * thm list) list) |
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val global_terminal_proof: text * text option |
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-> Proof.state -> theory * ((string * string) * (string * thm list) list) |
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val global_default_proof: Proof.state -> theory * ((string * string) * (string * thm list) list) |
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val global_immediate_proof: Proof.state -> |
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theory * ((string * string) * (string * thm list) list) |
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val global_done_proof: Proof.state -> theory * ((string * string) * (string * thm list) list) |
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val goal_args: (Args.T list -> 'a * Args.T list) -> ('a -> int -> tactic) |
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-> Args.src -> Proof.context -> Proof.method |
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val goal_args': (Proof.context * Args.T list -> 'a * (Proof.context * Args.T list)) |
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-> ('a -> int -> tactic) -> Args.src -> Proof.context -> Proof.method |
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val setup: (theory -> theory) list |
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end; |
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structure Method: METHOD = |
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struct |
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wenzelm
parents:
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(** proof methods **) |
5db4b4596d1a
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wenzelm
parents:
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5db4b4596d1a
rule context and attributes moved to rule_context.ML;
wenzelm
parents:
12311
diff
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(* tracing *) |
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val trace_rules = ref false; |
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fun trace ctxt rules = |
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conditional (! trace_rules andalso not (null rules)) (fn () => |
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Pretty.big_list "rules:" (map (ProofContext.pretty_thm ctxt) rules) |
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|> Pretty.string_of |> tracing); |
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(* make methods *) |
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val RAW_METHOD = Proof.method; |
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val RAW_METHOD_CASES = Proof.method_cases; |
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fun METHOD m = Proof.method (fn facts => TRY Tactic.conjunction_tac THEN m facts); |
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fun METHOD_CASES m = |
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Proof.method_cases (fn facts => Seq.THEN (TRY Tactic.conjunction_tac, m facts)); |
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(* primitive *) |
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val fail = METHOD (K no_tac); |
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val succeed = METHOD (K all_tac); |
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(* shuffle *) |
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fun prefer i = METHOD (K (Tactic.defer_tac i THEN PRIMITIVE (Thm.permute_prems 0 ~1))); |
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fun defer opt_i = METHOD (K (Tactic.defer_tac (if_none opt_i 1))); |
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(* insert *) |
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local |
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fun cut_rule_tac raw_rule = |
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let |
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val rule = Drule.forall_intr_vars raw_rule; |
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val revcut_rl = Drule.incr_indexes_wrt [] [] [] [rule] Drule.revcut_rl; |
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in Tactic.rtac (rule COMP revcut_rl) end; |
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in |
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fun insert_tac [] i = all_tac |
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| insert_tac facts i = EVERY (map (fn th => cut_rule_tac th i) facts); |
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val insert_facts = METHOD (ALLGOALS o insert_tac); |
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fun insert thms = METHOD (fn _ => ALLGOALS (insert_tac thms)); |
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fun SIMPLE_METHOD tac = METHOD (fn facts => ALLGOALS (insert_tac facts) THEN tac); |
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fun SIMPLE_METHOD' quant tac = METHOD (fn facts => quant (insert_tac facts THEN' tac)); |
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rule context and attributes moved to rule_context.ML;
wenzelm
parents:
12311
diff
changeset
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end; |
5db4b4596d1a
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wenzelm
parents:
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(* unfold/fold definitions *) |
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fun unfold ths = SIMPLE_METHOD (CHANGED_PROP (rewrite_goals_tac ths)); |
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fun fold ths = SIMPLE_METHOD (CHANGED_PROP (fold_goals_tac ths)); |
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(* unfold intro/elim rules *) |
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fun intro ths = SIMPLE_METHOD' HEADGOAL (CHANGED_PROP o REPEAT_ALL_NEW (Tactic.match_tac ths)); |
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fun elim ths = SIMPLE_METHOD' HEADGOAL (CHANGED_PROP o REPEAT_ALL_NEW (Tactic.ematch_tac ths)); |
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(* multi_resolve *) |
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local |
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fun res th i rule = |
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Thm.biresolution false [(false, th)] i rule handle THM _ => Seq.empty; |
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fun multi_res _ [] rule = Seq.single rule |
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| multi_res i (th :: ths) rule = Seq.flat (Seq.map (res th i) (multi_res (i + 1) ths rule)); |
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in |
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val multi_resolve = multi_res 1; |
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fun multi_resolves facts rules = Seq.flat (Seq.map (multi_resolve facts) (Seq.of_list rules)); |
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end; |
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(* rules_tac *) |
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local |
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val remdups_tac = SUBGOAL (fn (g, i) => |
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let val prems = Logic.strip_assums_hyp g in |
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REPEAT_DETERM_N (length prems - length (gen_distinct op aconv prems)) |
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(Tactic.ematch_tac [Drule.remdups_rl] i THEN Tactic.eq_assume_tac i) |
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end); |
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fun REMDUPS tac = tac THEN_ALL_NEW remdups_tac; |
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fun gen_eq_set e s1 s2 = |
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length s1 = length s2 andalso |
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gen_subset e (s1, s2) andalso gen_subset e (s2, s1); |
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val bires_tac = Tactic.biresolution_from_nets_tac ContextRules.orderlist; |
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fun safe_step_tac ctxt = |
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ContextRules.Swrap ctxt |
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(eq_assume_tac ORELSE' |
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bires_tac true (ContextRules.netpair_bang ctxt)); |
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fun unsafe_step_tac ctxt = |
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ContextRules.wrap ctxt |
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(assume_tac APPEND' |
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bires_tac false (ContextRules.netpair_bang ctxt) APPEND' |
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bires_tac false (ContextRules.netpair ctxt)); |
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fun step_tac ctxt i = |
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REPEAT_DETERM1 (REMDUPS (safe_step_tac ctxt) i) ORELSE |
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REMDUPS (unsafe_step_tac ctxt) i; |
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fun intpr_tac ctxt gs d lim = SUBGOAL (fn (g, i) => if d > lim then no_tac else |
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let |
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val ps = Logic.strip_assums_hyp g; |
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val c = Logic.strip_assums_concl g; |
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in |
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if gen_mem (fn ((ps1, c1), (ps2, c2)) => |
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c1 aconv c2 andalso gen_eq_set op aconv ps1 ps2) ((ps, c), gs) then no_tac |
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else (step_tac ctxt THEN_ALL_NEW intpr_tac ctxt ((ps, c) :: gs) (d + 1) lim) i |
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end); |
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in |
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fun rules_tac ctxt opt_lim = |
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SELECT_GOAL (DEEPEN (2, if_none opt_lim 20) (intpr_tac ctxt [] 0) 4 1); |
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end; |
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(* rule_tac etc. *) |
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local |
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10541
fdec07d4f047
resolveq(_cases)_tac moved to HOL/Tools/induct_method.ML;
wenzelm
parents:
10529
diff
changeset
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fun gen_rule_tac tac rules [] i st = tac rules i st |
12324
5db4b4596d1a
rule context and attributes moved to rule_context.ML;
wenzelm
parents:
12311
diff
changeset
|
265 |
| gen_rule_tac tac rules facts i st = |
5db4b4596d1a
rule context and attributes moved to rule_context.ML;
wenzelm
parents:
12311
diff
changeset
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Seq.flat (Seq.map (fn rule => (tac o single) rule i st) (multi_resolves facts rules)); |
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fun gen_arule_tac tac j rules facts = |
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EVERY' (gen_rule_tac tac rules facts :: replicate j Tactic.assume_tac); |
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||
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fun gen_some_rule_tac tac arg_rules ctxt facts = SUBGOAL (fn (goal, i) => |
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let |
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val rules = |
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if not (null arg_rules) then arg_rules |
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else flat (ContextRules.find_rules false facts goal ctxt) |
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in trace ctxt rules; tac rules facts i end); |
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fun meth tac x = METHOD (HEADGOAL o tac x); |
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fun meth' tac x y = METHOD (HEADGOAL o tac x y); |
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in |
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val rule_tac = gen_rule_tac Tactic.resolve_tac; |
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val rule = meth rule_tac; |
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val some_rule_tac = gen_some_rule_tac rule_tac; |
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val some_rule = meth' some_rule_tac; |
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val erule = meth' (gen_arule_tac Tactic.eresolve_tac); |
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val drule = meth' (gen_arule_tac Tactic.dresolve_tac); |
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val frule = meth' (gen_arule_tac Tactic.forward_tac); |
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end; |
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(* this *) |
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val this = METHOD (EVERY o map (HEADGOAL o Tactic.rtac)); |
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(* assumption *) |
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10378
98c95ebf804f
assumption / finish: handle non-atomic assumptions from context as well;
wenzelm
parents:
10309
diff
changeset
|
302 |
fun asm_tac ths = |
98c95ebf804f
assumption / finish: handle non-atomic assumptions from context as well;
wenzelm
parents:
10309
diff
changeset
|
303 |
foldr (op APPEND') (map (fn th => Tactic.rtac th THEN_ALL_NEW assume_tac) ths, K no_tac); |
98c95ebf804f
assumption / finish: handle non-atomic assumptions from context as well;
wenzelm
parents:
10309
diff
changeset
|
304 |
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fun assm_tac ctxt = |
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assume_tac APPEND' |
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asm_tac (ProofContext.prems_of ctxt) APPEND' |
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Tactic.rtac Drule.reflexive_thm; |
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fun assumption_tac ctxt [] = assm_tac ctxt |
10378
98c95ebf804f
assumption / finish: handle non-atomic assumptions from context as well;
wenzelm
parents:
10309
diff
changeset
|
311 |
| assumption_tac _ [fact] = asm_tac [fact] |
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| assumption_tac _ _ = K no_tac; |
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fun assumption ctxt = METHOD (HEADGOAL o assumption_tac ctxt); |
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||
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(* res_inst_tac etc. *) |
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(*robustify instantiation by imposing (part of) the present static context*) |
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val impose_hyps_tac = |
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PRIMITIVE o Drule.impose_hyps o flat o map #1 o ProofContext.assumptions_of; |
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||
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(*Note: insts refer to the implicit (!!) goal context; use at your own risk*) |
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fun gen_res_inst _ tac _ (quant, ([], thms)) = |
9565
3eb2ea15cc69
res_inst: include non-inst versions with multiple thms;
wenzelm
parents:
9539
diff
changeset
|
325 |
METHOD (fn facts => (quant (insert_tac facts THEN' tac thms))) |
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| gen_res_inst tac _ ctxt (quant, (insts, [thm])) = |
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METHOD (fn facts => (impose_hyps_tac ctxt THEN quant (insert_tac facts THEN' tac insts thm))) |
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328 |
| gen_res_inst _ _ _ _ = error "Cannot have instantiations with multiple rules"; |
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|
9565
3eb2ea15cc69
res_inst: include non-inst versions with multiple thms;
wenzelm
parents:
9539
diff
changeset
|
330 |
val res_inst = gen_res_inst Tactic.res_inst_tac Tactic.resolve_tac; |
3eb2ea15cc69
res_inst: include non-inst versions with multiple thms;
wenzelm
parents:
9539
diff
changeset
|
331 |
val eres_inst = gen_res_inst Tactic.eres_inst_tac Tactic.eresolve_tac; |
3eb2ea15cc69
res_inst: include non-inst versions with multiple thms;
wenzelm
parents:
9539
diff
changeset
|
332 |
val dres_inst = gen_res_inst Tactic.dres_inst_tac Tactic.dresolve_tac; |
3eb2ea15cc69
res_inst: include non-inst versions with multiple thms;
wenzelm
parents:
9539
diff
changeset
|
333 |
val forw_inst = gen_res_inst Tactic.forw_inst_tac Tactic.forward_tac; |
3eb2ea15cc69
res_inst: include non-inst versions with multiple thms;
wenzelm
parents:
9539
diff
changeset
|
334 |
val cut_inst = gen_res_inst Tactic.cut_inst_tac Tactic.cut_facts_tac; |
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336 |
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8329 | 337 |
(* simple Prolog interpreter *) |
338 |
||
339 |
fun prolog_tac rules facts = |
|
340 |
DEPTH_SOLVE_1 (HEADGOAL (Tactic.assume_tac APPEND' Tactic.resolve_tac (facts @ rules))); |
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341 |
||
342 |
val prolog = METHOD o prolog_tac; |
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(* ML tactics *) |
346 |
||
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val tactic_ref = ref ((fn _ => raise Match): Proof.context -> thm list -> tactic); |
|
348 |
fun set_tactic f = tactic_ref := f; |
|
349 |
||
350 |
fun tactic txt ctxt = METHOD (fn facts => |
|
9631 | 351 |
(Context.use_mltext |
352 |
("let fun tactic (ctxt: PureIsar.Proof.context) (facts: thm list) : tactic = \ |
|
353 |
\let val thm = PureIsar.ProofContext.get_thm_closure ctxt\n\ |
|
354 |
\ and thms = PureIsar.ProofContext.get_thms_closure ctxt in\n" |
|
355 |
^ txt ^ |
|
356 |
"\nend in PureIsar.Method.set_tactic tactic end") |
|
357 |
false None; |
|
358 |
Context.setmp (Some (ProofContext.theory_of ctxt)) (! tactic_ref ctxt) facts)); |
|
8351 | 359 |
|
360 |
||
5824 | 361 |
|
362 |
(** methods theory data **) |
|
363 |
||
364 |
(* data kind 'Isar/methods' *) |
|
365 |
||
366 |
structure MethodsDataArgs = |
|
367 |
struct |
|
368 |
val name = "Isar/methods"; |
|
369 |
type T = |
|
370 |
{space: NameSpace.T, |
|
371 |
meths: (((Args.src -> Proof.context -> Proof.method) * string) * stamp) Symtab.table}; |
|
372 |
||
373 |
val empty = {space = NameSpace.empty, meths = Symtab.empty}; |
|
6546 | 374 |
val copy = I; |
5824 | 375 |
val prep_ext = I; |
376 |
fun merge ({space = space1, meths = meths1}, {space = space2, meths = meths2}) = |
|
377 |
{space = NameSpace.merge (space1, space2), |
|
378 |
meths = Symtab.merge eq_snd (meths1, meths2) handle Symtab.DUPS dups => |
|
379 |
error ("Attempt to merge different versions of methods " ^ commas_quote dups)}; |
|
380 |
||
9222 | 381 |
fun print _ {space, meths} = |
5824 | 382 |
let |
383 |
fun prt_meth (name, ((_, comment), _)) = Pretty.block |
|
6849 | 384 |
[Pretty.str (name ^ ":"), Pretty.brk 2, Pretty.str comment]; |
5824 | 385 |
in |
8720 | 386 |
[Pretty.big_list "methods:" (map prt_meth (NameSpace.cond_extern_table space meths))] |
9222 | 387 |
|> Pretty.chunks |> Pretty.writeln |
5824 | 388 |
end; |
389 |
end; |
|
390 |
||
391 |
structure MethodsData = TheoryDataFun(MethodsDataArgs); |
|
392 |
val print_methods = MethodsData.print; |
|
7611 | 393 |
|
5824 | 394 |
|
395 |
(* get methods *) |
|
396 |
||
5916 | 397 |
exception METHOD_FAIL of (string * Position.T) * exn; |
398 |
||
5824 | 399 |
fun method thy = |
400 |
let |
|
401 |
val {space, meths} = MethodsData.get thy; |
|
402 |
||
5884 | 403 |
fun meth src = |
404 |
let |
|
405 |
val ((raw_name, _), pos) = Args.dest_src src; |
|
406 |
val name = NameSpace.intern space raw_name; |
|
407 |
in |
|
5824 | 408 |
(case Symtab.lookup (meths, name) of |
409 |
None => error ("Unknown proof method: " ^ quote name ^ Position.str_of pos) |
|
5916 | 410 |
| Some ((mth, _), _) => transform_failure (curry METHOD_FAIL (name, pos)) (mth src)) |
5824 | 411 |
end; |
412 |
in meth end; |
|
413 |
||
414 |
||
9194 | 415 |
(* add_method(s) *) |
5824 | 416 |
|
417 |
fun add_methods raw_meths thy = |
|
418 |
let |
|
419 |
val full = Sign.full_name (Theory.sign_of thy); |
|
420 |
val new_meths = |
|
421 |
map (fn (name, f, comment) => (full name, ((f, comment), stamp ()))) raw_meths; |
|
422 |
||
423 |
val {space, meths} = MethodsData.get thy; |
|
424 |
val space' = NameSpace.extend (space, map fst new_meths); |
|
425 |
val meths' = Symtab.extend (meths, new_meths) handle Symtab.DUPS dups => |
|
426 |
error ("Duplicate declaration of method(s) " ^ commas_quote dups); |
|
427 |
in |
|
428 |
thy |> MethodsData.put {space = space', meths = meths'} |
|
429 |
end; |
|
430 |
||
9194 | 431 |
val add_method = add_methods o Library.single; |
432 |
||
5824 | 433 |
(*implicit version*) |
434 |
fun Method name meth cmt = Context.>> (add_methods [(name, meth, cmt)]); |
|
435 |
||
436 |
||
5884 | 437 |
|
438 |
(** method syntax **) |
|
5824 | 439 |
|
5884 | 440 |
(* basic *) |
441 |
||
442 |
fun syntax (scan: (Proof.context * Args.T list -> 'a * (Proof.context * Args.T list))) = |
|
443 |
Args.syntax "method" scan; |
|
5824 | 444 |
|
8351 | 445 |
fun simple_args scan f src ctxt : Proof.method = |
446 |
#2 (syntax (Scan.lift (scan >> (fn x => f x ctxt))) src ctxt); |
|
447 |
||
7555 | 448 |
fun ctxt_args (f: Proof.context -> Proof.method) src ctxt = |
8282 | 449 |
#2 (syntax (Scan.succeed (f ctxt)) src ctxt); |
7555 | 450 |
|
451 |
fun no_args m = ctxt_args (K m); |
|
5884 | 452 |
|
453 |
||
454 |
(* sections *) |
|
5824 | 455 |
|
7268 | 456 |
type modifier = (Proof.context -> Proof.context) * Proof.context attribute; |
457 |
||
458 |
local |
|
459 |
||
8381 | 460 |
fun sect ss = Scan.first (map Scan.lift ss); |
5884 | 461 |
fun thms ss = Scan.unless (sect ss) Attrib.local_thms; |
462 |
fun thmss ss = Scan.repeat (thms ss) >> flat; |
|
463 |
||
7268 | 464 |
fun apply (f, att) (ctxt, ths) = Thm.applys_attributes ((f ctxt, ths), [att]); |
5824 | 465 |
|
7268 | 466 |
fun section ss = (sect ss -- thmss ss) :-- (fn (m, ths) => Scan.depend (fn ctxt => |
467 |
Scan.succeed (apply m (ctxt, ths)))) >> #2; |
|
5884 | 468 |
|
7601 | 469 |
fun sectioned args ss = args -- Scan.repeat (section ss); |
5884 | 470 |
|
7268 | 471 |
in |
5824 | 472 |
|
5884 | 473 |
fun sectioned_args args ss f src ctxt = |
8282 | 474 |
let val (ctxt', (x, _)) = syntax (sectioned args ss) src ctxt |
5921 | 475 |
in f x ctxt' end; |
5884 | 476 |
|
7601 | 477 |
fun bang_sectioned_args ss f = sectioned_args Args.bang_facts ss f; |
9777 | 478 |
fun bang_sectioned_args' ss scan f = |
479 |
sectioned_args (Args.bang_facts -- scan >> swap) ss (uncurry f); |
|
7601 | 480 |
fun only_sectioned_args ss f = sectioned_args (Scan.succeed ()) ss (fn () => f); |
7268 | 481 |
|
8093 | 482 |
fun thms_ctxt_args f = sectioned_args (thmss []) [] f; |
483 |
fun thms_args f = thms_ctxt_args (K o f); |
|
9706 | 484 |
fun thm_args f = thms_args (fn [thm] => f thm | _ => error "Single theorem expected"); |
5824 | 485 |
|
7268 | 486 |
end; |
487 |
||
5824 | 488 |
|
12347 | 489 |
(* rules syntax *) |
490 |
||
491 |
local |
|
492 |
||
493 |
val introN = "intro"; |
|
494 |
val elimN = "elim"; |
|
495 |
val destN = "dest"; |
|
496 |
val ruleN = "rule"; |
|
497 |
||
498 |
fun modifier name kind kind' att = |
|
499 |
Args.$$$ name |-- (kind >> K None || kind' |-- Args.nat --| Args.colon >> Some) |
|
500 |
>> (pair (I: Proof.context -> Proof.context) o att); |
|
501 |
||
502 |
val rules_modifiers = |
|
12384 | 503 |
[modifier destN Args.bang_colon Args.bang ContextRules.dest_bang_local, |
12350 | 504 |
modifier destN Args.colon (Scan.succeed ()) ContextRules.dest_local, |
505 |
modifier elimN Args.bang_colon Args.bang ContextRules.elim_bang_local, |
|
506 |
modifier elimN Args.colon (Scan.succeed ()) ContextRules.elim_local, |
|
507 |
modifier introN Args.bang_colon Args.bang ContextRules.intro_bang_local, |
|
508 |
modifier introN Args.colon (Scan.succeed ()) ContextRules.intro_local, |
|
509 |
Args.del -- Args.colon >> K (I, ContextRules.rule_del_local)]; |
|
12347 | 510 |
|
511 |
in |
|
512 |
||
513 |
fun rules_args m = bang_sectioned_args' rules_modifiers (Scan.lift (Scan.option Args.nat)) m; |
|
514 |
||
515 |
fun rules_meth n prems ctxt = METHOD (fn facts => |
|
12350 | 516 |
HEADGOAL (insert_tac (prems @ facts) THEN' ObjectLogic.atomize_tac THEN' rules_tac ctxt n)); |
12347 | 517 |
|
518 |
end; |
|
519 |
||
520 |
||
9539 | 521 |
(* tactic syntax *) |
8238 | 522 |
|
10744 | 523 |
fun nat_thms_args f = uncurry f oo |
524 |
(#2 oo syntax (Scan.lift (Scan.optional (Args.parens Args.nat) 0) -- Attrib.local_thmss)); |
|
525 |
||
8238 | 526 |
val insts = |
9539 | 527 |
Scan.optional |
9565
3eb2ea15cc69
res_inst: include non-inst versions with multiple thms;
wenzelm
parents:
9539
diff
changeset
|
528 |
(Args.enum1 "and" (Scan.lift (Args.name -- (Args.$$$ "=" |-- Args.!!! Args.name))) --| |
3eb2ea15cc69
res_inst: include non-inst versions with multiple thms;
wenzelm
parents:
9539
diff
changeset
|
529 |
Scan.lift (Args.$$$ "in")) [] -- Attrib.local_thmss; |
8238 | 530 |
|
12119 | 531 |
fun inst_args f src ctxt = f ctxt (#2 (syntax (Args.goal_spec HEADGOAL -- insts) src ctxt)); |
8537 | 532 |
|
533 |
||
12119 | 534 |
fun goal_args' args tac src ctxt = #2 (syntax (Args.goal_spec HEADGOAL -- args >> |
535 |
(fn (quant, s) => SIMPLE_METHOD' quant (K (impose_hyps_tac ctxt) THEN' tac s))) src ctxt); |
|
8537 | 536 |
|
9539 | 537 |
fun goal_args args tac = goal_args' (Scan.lift args) tac; |
8238 | 538 |
|
539 |
||
5824 | 540 |
|
541 |
(** method text **) |
|
542 |
||
543 |
(* datatype text *) |
|
544 |
||
545 |
datatype text = |
|
546 |
Basic of (Proof.context -> Proof.method) | |
|
547 |
Source of Args.src | |
|
548 |
Then of text list | |
|
549 |
Orelse of text list | |
|
550 |
Try of text | |
|
551 |
Repeat1 of text; |
|
552 |
||
553 |
||
554 |
(* refine *) |
|
555 |
||
8238 | 556 |
fun gen_refine f text state = |
5824 | 557 |
let |
558 |
val thy = Proof.theory_of state; |
|
559 |
||
8238 | 560 |
fun eval (Basic mth) = f mth |
561 |
| eval (Source src) = f (method thy src) |
|
5824 | 562 |
| eval (Then txts) = Seq.EVERY (map eval txts) |
563 |
| eval (Orelse txts) = Seq.FIRST (map eval txts) |
|
564 |
| eval (Try txt) = Seq.TRY (eval txt) |
|
565 |
| eval (Repeat1 txt) = Seq.REPEAT1 (eval txt); |
|
566 |
in eval text state end; |
|
567 |
||
8238 | 568 |
val refine = gen_refine Proof.refine; |
569 |
val refine_end = gen_refine Proof.refine_end; |
|
6404 | 570 |
|
5824 | 571 |
|
6404 | 572 |
(* structured proof steps *) |
5824 | 573 |
|
7506 | 574 |
val default_text = Source (Args.src (("default", []), Position.none)); |
8195 | 575 |
val this_text = Basic (K this); |
9706 | 576 |
val done_text = Basic (K (SIMPLE_METHOD all_tac)); |
7555 | 577 |
|
8966 | 578 |
fun close_text asm = Basic (fn ctxt => METHOD (K |
579 |
(FILTER Thm.no_prems ((if asm then ALLGOALS (assm_tac ctxt) else all_tac) THEN flexflex_tac)))); |
|
580 |
||
581 |
fun finish_text asm None = close_text asm |
|
582 |
| finish_text asm (Some txt) = Then [txt, close_text asm]; |
|
6872 | 583 |
|
5824 | 584 |
fun proof opt_text state = |
585 |
state |
|
586 |
|> Proof.assert_backward |
|
6404 | 587 |
|> refine (if_none opt_text default_text) |
8242 | 588 |
|> Seq.map (Proof.goal_facts (K [])) |
5824 | 589 |
|> Seq.map Proof.enter_forward; |
590 |
||
8966 | 591 |
fun local_qed asm opt_text = Proof.local_qed (refine (finish_text asm opt_text)); |
592 |
fun local_terminal_proof (text, opt_text) pr = |
|
593 |
Seq.THEN (proof (Some text), local_qed true opt_text pr); |
|
594 |
val local_default_proof = local_terminal_proof (default_text, None); |
|
8195 | 595 |
val local_immediate_proof = local_terminal_proof (this_text, None); |
8966 | 596 |
fun local_done_proof pr = Seq.THEN (proof (Some done_text), local_qed false None pr); |
5824 | 597 |
|
6872 | 598 |
|
8966 | 599 |
fun global_qeds asm opt_text = Proof.global_qed (refine (finish_text asm opt_text)); |
5824 | 600 |
|
8966 | 601 |
fun global_qed asm opt_text state = |
6872 | 602 |
state |
8966 | 603 |
|> global_qeds asm opt_text |
6872 | 604 |
|> Proof.check_result "Failed to finish proof" state |
605 |
|> Seq.hd; |
|
606 |
||
8966 | 607 |
fun global_term_proof asm (text, opt_text) state = |
6872 | 608 |
state |
609 |
|> proof (Some text) |
|
610 |
|> Proof.check_result "Terminal proof method failed" state |
|
8966 | 611 |
|> (Seq.flat o Seq.map (global_qeds asm opt_text)) |
6872 | 612 |
|> Proof.check_result "Failed to finish proof (after successful terminal method)" state |
613 |
|> Seq.hd; |
|
614 |
||
8966 | 615 |
val global_terminal_proof = global_term_proof true; |
6934 | 616 |
val global_default_proof = global_terminal_proof (default_text, None); |
8966 | 617 |
val global_immediate_proof = global_terminal_proof (this_text, None); |
618 |
val global_done_proof = global_term_proof false (done_text, None); |
|
5824 | 619 |
|
620 |
||
12324
5db4b4596d1a
rule context and attributes moved to rule_context.ML;
wenzelm
parents:
12311
diff
changeset
|
621 |
|
5824 | 622 |
(** theory setup **) |
623 |
||
9539 | 624 |
(* misc tactic emulations *) |
625 |
||
626 |
val subgoal_meth = goal_args (Scan.repeat1 Args.name) Tactic.subgoals_tac; |
|
627 |
val thin_meth = goal_args Args.name Tactic.thin_tac; |
|
628 |
val rename_meth = goal_args (Scan.repeat1 Args.name) Tactic.rename_params_tac; |
|
9631 | 629 |
val rotate_meth = goal_args (Scan.optional Args.int 1) Tactic.rotate_tac; |
9539 | 630 |
|
631 |
||
5824 | 632 |
(* pure_methods *) |
633 |
||
634 |
val pure_methods = |
|
635 |
[("fail", no_args fail, "force failure"), |
|
636 |
("succeed", no_args succeed, "succeed"), |
|
9587 | 637 |
("-", no_args insert_facts, "do nothing (insert current facts only)"), |
9539 | 638 |
("insert", thms_args insert, "insert theorems, ignoring facts (improper)"), |
7601 | 639 |
("unfold", thms_args unfold, "unfold definitions"), |
12384 | 640 |
("intro", thms_args intro, "repeatedly apply introduction rules"), |
641 |
("elim", thms_args elim, "repeatedly apply elimination rules"), |
|
7601 | 642 |
("fold", thms_args fold, "fold definitions"), |
12007 | 643 |
("atomize", no_args (SIMPLE_METHOD' HEADGOAL (CHANGED_PROP o ObjectLogic.atomize_tac)), |
11962 | 644 |
"present local premises as object-level statements"), |
12347 | 645 |
("rules", rules_args rules_meth, "apply many rules, including proof search"), |
12384 | 646 |
("rule", thms_ctxt_args some_rule, "apply some intro/elim rule"), |
10744 | 647 |
("erule", nat_thms_args erule, "apply rule in elimination manner (improper)"), |
648 |
("drule", nat_thms_args drule, "apply rule in destruct manner (improper)"), |
|
649 |
("frule", nat_thms_args frule, "apply rule in forward manner (improper)"), |
|
8195 | 650 |
("this", no_args this, "apply current facts as rules"), |
8238 | 651 |
("assumption", ctxt_args assumption, "proof by assumption, preferring facts"), |
9539 | 652 |
("rule_tac", inst_args res_inst, "apply rule (dynamic instantiation!)"), |
653 |
("erule_tac", inst_args eres_inst, "apply rule in elimination manner (dynamic instantiation!)"), |
|
654 |
("drule_tac", inst_args dres_inst, "apply rule in destruct manner (dynamic instantiation!)"), |
|
655 |
("frule_tac", inst_args forw_inst, "apply rule in forward manner (dynamic instantiation!)"), |
|
656 |
("cut_tac", inst_args cut_inst, "cut rule (dynamic instantiation!)"), |
|
9565
3eb2ea15cc69
res_inst: include non-inst versions with multiple thms;
wenzelm
parents:
9539
diff
changeset
|
657 |
("subgoal_tac", subgoal_meth, "insert subgoal (dynamic instantiation!)"), |
3eb2ea15cc69
res_inst: include non-inst versions with multiple thms;
wenzelm
parents:
9539
diff
changeset
|
658 |
("thin_tac", thin_meth, "remove premise (dynamic instantiation!)"), |
9631 | 659 |
("rename_tac", rename_meth, "rename parameters of goal (dynamic instantiation!)"), |
660 |
("rotate_tac", rotate_meth, "rotate assumptions of goal"), |
|
8351 | 661 |
("prolog", thms_args prolog, "simple prolog interpreter"), |
662 |
("tactic", simple_args Args.name tactic, "ML tactic as proof method")]; |
|
5824 | 663 |
|
664 |
||
665 |
(* setup *) |
|
666 |
||
8153
9bdbcb71dc56
maintain standard rules (beware: classical provers provides another version!);
wenzelm
parents:
8093
diff
changeset
|
667 |
val setup = |
12324
5db4b4596d1a
rule context and attributes moved to rule_context.ML;
wenzelm
parents:
12311
diff
changeset
|
668 |
[MethodsData.init, add_methods pure_methods, |
12350 | 669 |
(#1 o PureThy.add_thms [(("", Drule.equal_intr_rule), [ContextRules.intro_query_global None])])]; |
5824 | 670 |
|
671 |
||
672 |
end; |
|
673 |
||
674 |
||
675 |
structure BasicMethod: BASIC_METHOD = Method; |
|
676 |
open BasicMethod; |