author | wenzelm |
Wed, 08 Mar 2000 17:58:37 +0100 | |
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parent 8351 | 1b8ac0f48233 |
child 8381 | 4fc7e63781f6 |
permissions | -rw-r--r-- |
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(* Title: Pure/Isar/method.ML |
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ID: $Id$ |
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Author: Markus Wenzel, TU Muenchen |
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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 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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signature METHOD = |
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sig |
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include BASIC_METHOD |
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val print_global_rules: theory -> unit |
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val print_local_rules: Proof.context -> unit |
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val dest_global: theory attribute |
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val elim_global: theory attribute |
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val intro_global: theory attribute |
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val delrule_global: theory attribute |
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val dest_local: Proof.context attribute |
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val elim_local: Proof.context attribute |
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val intro_local: Proof.context attribute |
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val delrule_local: Proof.context attribute |
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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 METHOD0: 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 resolveq_tac: thm Seq.seq -> int -> tactic |
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val resolveq_cases_tac: (thm * string list) Seq.seq |
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-> int -> thm -> (thm * (string * RuleCases.T) list) Seq.seq |
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val rule_tac: thm list -> thm list -> int -> tactic |
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val rule: thm list -> Proof.method |
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val erule: thm list -> Proof.method |
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val drule: thm list -> Proof.method |
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val frule: 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 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 help_methods: theory option -> unit |
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val method: theory -> Args.src -> Proof.context -> Proof.method |
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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 -> Proof.method) -> Args.src -> Proof.context -> Proof.method |
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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 -> Proof.method) -> Args.src -> Proof.context -> Proof.method |
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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 -> Proof.method) -> Args.src -> Proof.context -> Proof.method |
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val thms_ctxt_args: (thm list -> Proof.context -> Proof.method) |
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-> Args.src -> Proof.context -> Proof.method |
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val thms_args: (thm list -> Proof.method) -> Args.src -> Proof.context -> Proof.method |
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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: text option |
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-> ({kind: string, name: string, thm: thm} -> unit) * (thm -> unit) |
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-> Proof.state -> Proof.state Seq.seq |
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val local_terminal_proof: text * text option |
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-> ({kind: string, name: string, thm: thm} -> unit) * (thm -> unit) |
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-> Proof.state -> Proof.state Seq.seq |
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val local_immediate_proof: ({kind: string, name: string, thm: thm} -> unit) * (thm -> unit) |
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-> Proof.state -> Proof.state Seq.seq |
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val local_default_proof: ({kind: string, name: string, thm: thm} -> unit) * (thm -> unit) |
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-> Proof.state -> Proof.state Seq.seq |
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val global_qed: text option -> Proof.state -> theory * {kind: string, name: string, thm: thm} |
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val global_terminal_proof: text * text option |
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-> Proof.state -> theory * {kind: string, name: string, thm: thm} |
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val global_immediate_proof: Proof.state -> theory * {kind: string, name: string, thm: thm} |
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val global_default_proof: Proof.state -> theory * {kind: string, name: string, thm: thm} |
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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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(** global and local rule data **) |
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fun prt_rules kind ths = |
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Pretty.writeln (Pretty.big_list ("standard " ^ kind ^ " rules:") (map Display.pretty_thm ths)); |
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fun print_rules (intro, elim) = |
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(prt_rules "introduction" intro; prt_rules "elimination" elim); |
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fun merge_rules (ths1, ths2) = Library.generic_merge Thm.eq_thm I I ths1 ths2; |
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(* theory data kind 'Isar/rules' *) |
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structure GlobalRulesArgs = |
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struct |
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val name = "Isar/rules"; |
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type T = thm list * thm list; |
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val empty = ([], []); |
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val copy = I; |
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val prep_ext = I; |
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fun merge ((intro1, elim1), (intro2, elim2)) = |
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(merge_rules (intro1, intro2), merge_rules (elim1, elim2)); |
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fun print _ = print_rules; |
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end; |
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structure GlobalRules = TheoryDataFun(GlobalRulesArgs); |
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val print_global_rules = GlobalRules.print; |
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(* proof data kind 'Isar/rules' *) |
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structure LocalRulesArgs = |
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struct |
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val name = "Isar/rules"; |
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type T = thm list * thm list; |
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val init = GlobalRules.get; |
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fun print _ = print_rules; |
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end; |
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structure LocalRules = ProofDataFun(LocalRulesArgs); |
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val print_local_rules = LocalRules.print; |
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(** attributes **) |
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(* add rules *) |
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local |
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fun add_rule thm rules = Library.gen_ins Thm.eq_thm (thm, rules); |
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fun del_rule thm rules = Library.gen_rem Thm.eq_thm (rules, thm); |
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fun add_dest thm (intro, elim) = (intro, add_rule (Tactic.make_elim thm) elim); |
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fun add_elim thm (intro, elim) = (intro, add_rule thm elim); |
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fun add_intro thm (intro, elim) = (add_rule thm intro, elim); |
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fun delrule thm (intro, elim) = (del_rule thm intro, del_rule thm elim); |
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fun mk_att f g (x, thm) = (f (g thm) x, thm); |
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in |
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val dest_global = mk_att GlobalRules.map add_dest; |
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val elim_global = mk_att GlobalRules.map add_elim; |
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val intro_global = mk_att GlobalRules.map add_intro; |
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val delrule_global = mk_att GlobalRules.map delrule; |
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val dest_local = mk_att LocalRules.map add_dest; |
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val elim_local = mk_att LocalRules.map add_elim; |
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val intro_local = mk_att LocalRules.map add_intro; |
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val delrule_local = mk_att LocalRules.map delrule; |
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end; |
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(* concrete syntax *) |
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|
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val rule_atts = |
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[("dest", (Attrib.no_args dest_global, Attrib.no_args dest_local), "destruction rule"), |
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("elim", (Attrib.no_args elim_global, Attrib.no_args elim_local), "elimination rule"), |
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("intro", (Attrib.no_args intro_global, Attrib.no_args intro_local), "introduction rule"), |
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("delrule", (Attrib.no_args delrule_global, Attrib.no_args delrule_local), "delete rule")]; |
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|
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|
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196 |
|
5824 | 197 |
(** proof methods **) |
198 |
||
8372 | 199 |
(* make methods *) |
5824 | 200 |
|
6849 | 201 |
val METHOD = Proof.method; |
8372 | 202 |
val METHOD_CASES = Proof.method_cases; |
203 |
||
5824 | 204 |
fun METHOD0 tac = METHOD (fn [] => tac | _ => error "Method may not be used with facts"); |
205 |
||
206 |
||
207 |
(* primitive *) |
|
208 |
||
209 |
val fail = METHOD (K no_tac); |
|
210 |
val succeed = METHOD (K all_tac); |
|
211 |
||
212 |
||
8167 | 213 |
(* shuffle *) |
214 |
||
8240 | 215 |
fun prefer i = METHOD (K (Tactic.defer_tac i THEN PRIMITIVE (Thm.permute_prems 0 ~1))); |
8167 | 216 |
fun defer opt_i = METHOD (K (Tactic.defer_tac (if_none opt_i 1))); |
217 |
||
218 |
||
7419 | 219 |
(* insert *) |
220 |
||
221 |
local |
|
5824 | 222 |
|
6981 | 223 |
fun cut_rule_tac raw_rule = |
224 |
let |
|
225 |
val rule = Drule.forall_intr_vars raw_rule; |
|
226 |
val revcut_rl = Drule.incr_indexes_wrt [] [] [] [rule] Drule.revcut_rl; |
|
7555 | 227 |
in Tactic.rtac (rule COMP revcut_rl) end; |
6981 | 228 |
|
7419 | 229 |
in |
5824 | 230 |
|
7419 | 231 |
fun insert_tac [] i = all_tac |
232 |
| insert_tac facts i = EVERY (map (fn th => cut_rule_tac th i) facts); |
|
6981 | 233 |
|
7555 | 234 |
val insert_facts = METHOD (ALLGOALS o insert_tac); |
7664 | 235 |
fun insert thms = METHOD (fn _ => ALLGOALS (insert_tac thms)); |
7419 | 236 |
|
237 |
end; |
|
5824 | 238 |
|
239 |
||
7601 | 240 |
(* unfold / fold definitions *) |
6532 | 241 |
|
7601 | 242 |
fun unfold thms = METHOD (fn facts => ALLGOALS (insert_tac facts) THEN rewrite_goals_tac thms); |
7555 | 243 |
fun fold thms = METHOD (fn facts => ALLGOALS (insert_tac facts) THEN fold_goals_tac thms); |
6532 | 244 |
|
245 |
||
7419 | 246 |
(* multi_resolve *) |
247 |
||
248 |
local |
|
249 |
||
250 |
fun res th i rule = |
|
251 |
Thm.biresolution false [(false, th)] i rule handle THM _ => Seq.empty; |
|
252 |
||
253 |
fun multi_res _ [] rule = Seq.single rule |
|
254 |
| multi_res i (th :: ths) rule = Seq.flat (Seq.map (res th i) (multi_res (i + 1) ths rule)); |
|
255 |
||
256 |
in |
|
257 |
||
258 |
val multi_resolve = multi_res 1; |
|
8372 | 259 |
fun multi_resolves facts rules = Seq.flat (Seq.map (multi_resolve facts) (Seq.of_list rules)); |
7419 | 260 |
|
261 |
end; |
|
262 |
||
263 |
||
8372 | 264 |
(* general rule *) |
5824 | 265 |
|
8335 | 266 |
fun gen_resolveq_tac tac rules i st = |
8372 | 267 |
Seq.flat (Seq.map (fn rule => tac rule i st) rules); |
268 |
||
269 |
val resolveq_tac = gen_resolveq_tac Tactic.rtac; |
|
8335 | 270 |
|
8372 | 271 |
val resolveq_cases_tac = gen_resolveq_tac (fn (rule, cases) => fn i => fn st => |
272 |
Seq.map (rpair (RuleCases.make rule cases)) (Tactic.rtac rule i st)); |
|
8335 | 273 |
|
274 |
||
8372 | 275 |
(* simple rule *) |
276 |
||
7419 | 277 |
local |
5824 | 278 |
|
7130 | 279 |
fun gen_rule_tac tac rules [] = tac rules |
8372 | 280 |
| gen_rule_tac tac erules facts = gen_resolveq_tac (tac o single) (multi_resolves facts erules); |
7130 | 281 |
|
8153
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fun gen_rule tac rules = METHOD (FINDGOAL o tac rules); |
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283 |
|
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fun gen_rule' tac arg_rules ctxt = METHOD (fn facts => |
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let val rules = |
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286 |
if not (null arg_rules) then arg_rules |
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else if null facts then #1 (LocalRules.get ctxt) |
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else op @ (LocalRules.get ctxt); |
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in FINDGOAL (tac rules facts) end); |
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290 |
|
8220 | 291 |
fun setup raw_tac = |
292 |
let val tac = gen_rule_tac raw_tac |
|
293 |
in (tac, gen_rule tac, gen_rule' tac) end; |
|
294 |
||
7419 | 295 |
in |
296 |
||
8220 | 297 |
val (rule_tac, rule, some_rule) = setup Tactic.resolve_tac; |
298 |
val (erule_tac, erule, some_erule) = setup Tactic.eresolve_tac; |
|
299 |
val (drule_tac, drule, some_drule) = setup Tactic.dresolve_tac; |
|
300 |
val (frule_tac, frule, some_frule) = setup Tactic.forward_tac; |
|
5824 | 301 |
|
7419 | 302 |
end; |
303 |
||
304 |
||
8195 | 305 |
(* this *) |
306 |
||
307 |
val this = METHOD (EVERY o map (FINDGOAL o Tactic.rtac)); |
|
308 |
||
309 |
||
310 |
(* assumption *) |
|
7555 | 311 |
|
312 |
fun assm_tac ctxt = |
|
313 |
assume_tac APPEND' resolve_tac (filter Thm.no_prems (ProofContext.prems_of ctxt)); |
|
7419 | 314 |
|
7555 | 315 |
fun assumption_tac ctxt [] = assm_tac ctxt |
316 |
| assumption_tac _ [fact] = resolve_tac [fact] |
|
317 |
| assumption_tac _ _ = K no_tac; |
|
7419 | 318 |
|
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fun assumption ctxt = METHOD (FINDGOAL o assumption_tac ctxt); |
7419 | 320 |
|
321 |
||
8329 | 322 |
(* res_inst_tac emulations *) |
8238 | 323 |
|
8329 | 324 |
(*Note: insts refer to the implicit (!) goal context; use at your own risk*) |
8238 | 325 |
fun gen_res_inst tac ((i, insts), thm) = |
326 |
METHOD (fn facts => (insert_tac facts THEN' tac insts thm) i); |
|
327 |
||
328 |
val res_inst = gen_res_inst Tactic.res_inst_tac; |
|
329 |
val eres_inst = gen_res_inst Tactic.eres_inst_tac; |
|
330 |
val dres_inst = gen_res_inst Tactic.dres_inst_tac; |
|
331 |
val forw_inst = gen_res_inst Tactic.forw_inst_tac; |
|
332 |
||
333 |
||
8329 | 334 |
(* simple Prolog interpreter *) |
335 |
||
336 |
fun prolog_tac rules facts = |
|
337 |
DEPTH_SOLVE_1 (HEADGOAL (Tactic.assume_tac APPEND' Tactic.resolve_tac (facts @ rules))); |
|
338 |
||
339 |
val prolog = METHOD o prolog_tac; |
|
340 |
||
341 |
||
8351 | 342 |
(* ML tactics *) |
343 |
||
344 |
val tactic_ref = ref ((fn _ => raise Match): Proof.context -> thm list -> tactic); |
|
345 |
fun set_tactic f = tactic_ref := f; |
|
346 |
||
347 |
fun tactic txt ctxt = METHOD (fn facts => |
|
8372 | 348 |
(Context.use_mltext |
349 |
("let fun (tactic: Proof.context -> thm list -> tactic) ctxt facts = \ |
|
350 |
\let val thm = ProofContext.get_thm ctxt and thms = ProofContext.get_thms ctxt in\n" |
|
351 |
^ txt ^ |
|
352 |
"\nend in Method.set_tactic tactic end") |
|
353 |
false (Some (ProofContext.theory_of ctxt)); ! tactic_ref ctxt facts)); |
|
8351 | 354 |
|
355 |
||
5824 | 356 |
|
357 |
(** methods theory data **) |
|
358 |
||
359 |
(* data kind 'Isar/methods' *) |
|
360 |
||
361 |
structure MethodsDataArgs = |
|
362 |
struct |
|
363 |
val name = "Isar/methods"; |
|
364 |
type T = |
|
365 |
{space: NameSpace.T, |
|
366 |
meths: (((Args.src -> Proof.context -> Proof.method) * string) * stamp) Symtab.table}; |
|
367 |
||
368 |
val empty = {space = NameSpace.empty, meths = Symtab.empty}; |
|
6546 | 369 |
val copy = I; |
5824 | 370 |
val prep_ext = I; |
371 |
fun merge ({space = space1, meths = meths1}, {space = space2, meths = meths2}) = |
|
372 |
{space = NameSpace.merge (space1, space2), |
|
373 |
meths = Symtab.merge eq_snd (meths1, meths2) handle Symtab.DUPS dups => |
|
374 |
error ("Attempt to merge different versions of methods " ^ commas_quote dups)}; |
|
375 |
||
7367 | 376 |
fun print_meths verbose {space, meths} = |
5824 | 377 |
let |
378 |
fun prt_meth (name, ((_, comment), _)) = Pretty.block |
|
6849 | 379 |
[Pretty.str (name ^ ":"), Pretty.brk 2, Pretty.str comment]; |
5824 | 380 |
in |
7367 | 381 |
if not verbose then () |
382 |
else Pretty.writeln (Display.pretty_name_space ("method name space", space)); |
|
6849 | 383 |
Pretty.writeln (Pretty.big_list "methods:" |
384 |
(map prt_meth (NameSpace.cond_extern_table space meths))) |
|
5824 | 385 |
end; |
7367 | 386 |
|
387 |
fun print _ = print_meths true; |
|
5824 | 388 |
end; |
389 |
||
390 |
structure MethodsData = TheoryDataFun(MethodsDataArgs); |
|
391 |
val print_methods = MethodsData.print; |
|
7611 | 392 |
|
393 |
fun help_methods None = writeln "methods: (unkown theory context)" |
|
394 |
| help_methods (Some thy) = MethodsDataArgs.print_meths false (MethodsData.get thy); |
|
5824 | 395 |
|
396 |
||
397 |
(* get methods *) |
|
398 |
||
5916 | 399 |
exception METHOD_FAIL of (string * Position.T) * exn; |
400 |
||
5824 | 401 |
fun method thy = |
402 |
let |
|
403 |
val {space, meths} = MethodsData.get thy; |
|
404 |
||
5884 | 405 |
fun meth src = |
406 |
let |
|
407 |
val ((raw_name, _), pos) = Args.dest_src src; |
|
408 |
val name = NameSpace.intern space raw_name; |
|
409 |
in |
|
5824 | 410 |
(case Symtab.lookup (meths, name) of |
411 |
None => error ("Unknown proof method: " ^ quote name ^ Position.str_of pos) |
|
5916 | 412 |
| Some ((mth, _), _) => transform_failure (curry METHOD_FAIL (name, pos)) (mth src)) |
5824 | 413 |
end; |
414 |
in meth end; |
|
415 |
||
416 |
||
417 |
(* add_methods *) |
|
418 |
||
419 |
fun add_methods raw_meths thy = |
|
420 |
let |
|
421 |
val full = Sign.full_name (Theory.sign_of thy); |
|
422 |
val new_meths = |
|
423 |
map (fn (name, f, comment) => (full name, ((f, comment), stamp ()))) raw_meths; |
|
424 |
||
425 |
val {space, meths} = MethodsData.get thy; |
|
426 |
val space' = NameSpace.extend (space, map fst new_meths); |
|
427 |
val meths' = Symtab.extend (meths, new_meths) handle Symtab.DUPS dups => |
|
428 |
error ("Duplicate declaration of method(s) " ^ commas_quote dups); |
|
429 |
in |
|
430 |
thy |> MethodsData.put {space = space', meths = meths'} |
|
431 |
end; |
|
432 |
||
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 |
||
8351 | 454 |
|
5884 | 455 |
(* sections *) |
5824 | 456 |
|
7268 | 457 |
type modifier = (Proof.context -> Proof.context) * Proof.context attribute; |
458 |
||
459 |
local |
|
460 |
||
5884 | 461 |
fun sect ss = Scan.first (map (fn s => Scan.lift (s --| Args.$$$ ":")) ss); |
462 |
fun thms ss = Scan.unless (sect ss) Attrib.local_thms; |
|
463 |
fun thmss ss = Scan.repeat (thms ss) >> flat; |
|
464 |
||
7268 | 465 |
fun apply (f, att) (ctxt, ths) = Thm.applys_attributes ((f ctxt, ths), [att]); |
5824 | 466 |
|
7268 | 467 |
fun section ss = (sect ss -- thmss ss) :-- (fn (m, ths) => Scan.depend (fn ctxt => |
468 |
Scan.succeed (apply m (ctxt, ths)))) >> #2; |
|
5884 | 469 |
|
7601 | 470 |
fun sectioned args ss = args -- Scan.repeat (section ss); |
5884 | 471 |
|
7268 | 472 |
in |
5824 | 473 |
|
5884 | 474 |
fun sectioned_args args ss f src ctxt = |
8282 | 475 |
let val (ctxt', (x, _)) = syntax (sectioned args ss) src ctxt |
5921 | 476 |
in f x ctxt' end; |
5884 | 477 |
|
7601 | 478 |
fun bang_sectioned_args ss f = sectioned_args Args.bang_facts ss f; |
479 |
fun only_sectioned_args ss f = sectioned_args (Scan.succeed ()) ss (fn () => f); |
|
7268 | 480 |
|
8093 | 481 |
fun thms_ctxt_args f = sectioned_args (thmss []) [] f; |
482 |
fun thms_args f = thms_ctxt_args (K o f); |
|
5824 | 483 |
|
7268 | 484 |
end; |
485 |
||
5824 | 486 |
|
8238 | 487 |
(* insts *) |
488 |
||
489 |
val insts = |
|
490 |
Scan.lift (Scan.optional (Args.$$$ "(" |-- Args.!!! (Args.nat --| Args.$$$ ")")) 1) -- |
|
491 |
Args.enum1 "and" (Scan.lift (Args.name -- Args.!!! (Args.$$$ "=" |-- Args.name))) -- |
|
492 |
(Scan.lift (Args.$$$ "in") |-- Attrib.local_thm); |
|
493 |
||
8282 | 494 |
fun inst_args f = f oo (#2 oo syntax insts); |
8238 | 495 |
|
496 |
||
5824 | 497 |
|
498 |
(** method text **) |
|
499 |
||
500 |
(* datatype text *) |
|
501 |
||
502 |
datatype text = |
|
503 |
Basic of (Proof.context -> Proof.method) | |
|
504 |
Source of Args.src | |
|
505 |
Then of text list | |
|
506 |
Orelse of text list | |
|
507 |
Try of text | |
|
508 |
Repeat1 of text; |
|
509 |
||
510 |
||
511 |
(* refine *) |
|
512 |
||
8238 | 513 |
fun gen_refine f text state = |
5824 | 514 |
let |
515 |
val thy = Proof.theory_of state; |
|
516 |
||
8238 | 517 |
fun eval (Basic mth) = f mth |
518 |
| eval (Source src) = f (method thy src) |
|
5824 | 519 |
| eval (Then txts) = Seq.EVERY (map eval txts) |
520 |
| eval (Orelse txts) = Seq.FIRST (map eval txts) |
|
521 |
| eval (Try txt) = Seq.TRY (eval txt) |
|
522 |
| eval (Repeat1 txt) = Seq.REPEAT1 (eval txt); |
|
523 |
in eval text state end; |
|
524 |
||
8238 | 525 |
val refine = gen_refine Proof.refine; |
526 |
val refine_end = gen_refine Proof.refine_end; |
|
6404 | 527 |
|
5824 | 528 |
|
6404 | 529 |
(* structured proof steps *) |
5824 | 530 |
|
7506 | 531 |
val default_text = Source (Args.src (("default", []), Position.none)); |
8195 | 532 |
val this_text = Basic (K this); |
533 |
||
534 |
fun finish ctxt = METHOD (K (FILTER Thm.no_prems (ALLGOALS (assm_tac ctxt) THEN flexflex_tac))); |
|
7555 | 535 |
|
536 |
fun finish_text None = Basic finish |
|
537 |
| finish_text (Some txt) = Then [txt, Basic finish]; |
|
6872 | 538 |
|
5824 | 539 |
fun proof opt_text state = |
540 |
state |
|
541 |
|> Proof.assert_backward |
|
6404 | 542 |
|> refine (if_none opt_text default_text) |
8242 | 543 |
|> Seq.map (Proof.goal_facts (K [])) |
5824 | 544 |
|> Seq.map Proof.enter_forward; |
545 |
||
7439 | 546 |
fun local_qed opt_text = Proof.local_qed (refine (finish_text opt_text)); |
6934 | 547 |
fun local_terminal_proof (text, opt_text) pr = Seq.THEN (proof (Some text), local_qed opt_text pr); |
8195 | 548 |
val local_immediate_proof = local_terminal_proof (this_text, None); |
6934 | 549 |
val local_default_proof = local_terminal_proof (default_text, None); |
5824 | 550 |
|
6872 | 551 |
|
7439 | 552 |
fun global_qeds opt_text = Proof.global_qed (refine (finish_text opt_text)); |
5824 | 553 |
|
6951 | 554 |
fun global_qed opt_text state = |
6872 | 555 |
state |
6951 | 556 |
|> global_qeds opt_text |
6872 | 557 |
|> Proof.check_result "Failed to finish proof" state |
558 |
|> Seq.hd; |
|
559 |
||
6934 | 560 |
fun global_terminal_proof (text, opt_text) state = |
6872 | 561 |
state |
562 |
|> proof (Some text) |
|
563 |
|> Proof.check_result "Terminal proof method failed" state |
|
6951 | 564 |
|> (Seq.flat o Seq.map (global_qeds opt_text)) |
6872 | 565 |
|> Proof.check_result "Failed to finish proof (after successful terminal method)" state |
566 |
|> Seq.hd; |
|
567 |
||
8195 | 568 |
val global_immediate_proof = global_terminal_proof (this_text, None); |
6934 | 569 |
val global_default_proof = global_terminal_proof (default_text, None); |
5824 | 570 |
|
571 |
||
572 |
||
573 |
(** theory setup **) |
|
574 |
||
575 |
(* pure_methods *) |
|
576 |
||
577 |
val pure_methods = |
|
578 |
[("fail", no_args fail, "force failure"), |
|
579 |
("succeed", no_args succeed, "succeed"), |
|
7574 | 580 |
("-", no_args insert_facts, "do nothing, inserting current facts only"), |
7664 | 581 |
("insert", thms_args insert, "insert theorems, ignoring facts (improper!)"), |
7601 | 582 |
("unfold", thms_args unfold, "unfold definitions"), |
583 |
("fold", thms_args fold, "fold definitions"), |
|
8153
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maintain standard rules (beware: classical provers provides another version!);
wenzelm
parents:
8093
diff
changeset
|
584 |
("default", thms_ctxt_args some_rule, "apply some rule"), |
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maintain standard rules (beware: classical provers provides another version!);
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parents:
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diff
changeset
|
585 |
("rule", thms_ctxt_args some_rule, "apply some rule"), |
8220 | 586 |
("erule", thms_ctxt_args some_erule, "apply some rule in elimination manner (improper!)"), |
587 |
("drule", thms_ctxt_args some_drule, "apply some rule in destruct manner (improper!)"), |
|
588 |
("frule", thms_ctxt_args some_frule, "apply some rule in forward manner (improper!)"), |
|
8195 | 589 |
("this", no_args this, "apply current facts as rules"), |
8238 | 590 |
("assumption", ctxt_args assumption, "proof by assumption, preferring facts"), |
591 |
("res_inst_tac", inst_args res_inst, "res_inst_tac emulation (beware!)"), |
|
592 |
("eres_inst_tac", inst_args eres_inst, "eres_inst_tac emulation (beware!)"), |
|
593 |
("dres_inst_tac", inst_args dres_inst, "dres_inst_tac emulation (beware!)"), |
|
8329 | 594 |
("forw_inst_tac", inst_args forw_inst, "forw_inst_tac emulation (beware!)"), |
8351 | 595 |
("prolog", thms_args prolog, "simple prolog interpreter"), |
596 |
("tactic", simple_args Args.name tactic, "ML tactic as proof method")]; |
|
5824 | 597 |
|
598 |
||
599 |
(* setup *) |
|
600 |
||
8153
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diff
changeset
|
601 |
val setup = |
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8093
diff
changeset
|
602 |
[GlobalRules.init, LocalRules.init, Attrib.add_attributes rule_atts, |
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|
603 |
MethodsData.init, add_methods pure_methods]; |
5824 | 604 |
|
605 |
||
606 |
end; |
|
607 |
||
608 |
||
609 |
structure BasicMethod: BASIC_METHOD = Method; |
|
610 |
open BasicMethod; |