author | blanchet |
Wed, 18 Sep 2013 16:44:19 +0200 | |
changeset 53697 | 221ec353bcc5 |
parent 53693 | 71b020d161c5 |
child 53699 | 7d32f33d340d |
permissions | -rw-r--r-- |
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(* Title: HOL/BNF/Tools/bnf_fp_rec_sugar_tactics.ML |
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Author: Jasmin Blanchette, TU Muenchen |
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Copyright 2013 |
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Tactics for recursor and corecursor sugar. |
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*) |
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signature BNF_FP_REC_SUGAR_TACTICS = |
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sig |
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val mk_primcorec_code_tac: Proof.context -> thm -> thm list -> tactic |
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val mk_primcorec_code_of_ctr_tac: Proof.context -> thm list -> tactic |
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val mk_primcorec_ctr_of_dtr_tac: Proof.context -> int -> thm -> thm -> thm list -> tactic |
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val mk_primcorec_ctr_or_sel_tac: Proof.context -> thm list -> thm -> int -> int -> |
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thm list list list -> thm list -> thm list -> thm list -> tactic |
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val mk_primcorec_disc_tac: Proof.context -> thm list -> thm -> int -> int -> thm list list list -> |
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tactic |
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val mk_primcorec_taut_tac: Proof.context -> tactic |
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val mk_primrec_tac: Proof.context -> int -> thm list -> thm list -> thm list -> thm -> tactic |
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end; |
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structure BNF_FP_Rec_Sugar_Tactics : BNF_FP_REC_SUGAR_TACTICS = |
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struct |
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open BNF_Util |
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open BNF_Tactics |
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fun mk_primrec_tac ctxt num_extra_args map_idents map_comps fun_defs recx = |
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unfold_thms_tac ctxt fun_defs THEN |
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HEADGOAL (rtac (funpow num_extra_args (fn thm => thm RS fun_cong) recx RS trans)) THEN |
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unfold_thms_tac ctxt (@{thms id_def split o_def fst_conv snd_conv} @ map_comps @ map_idents) THEN |
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HEADGOAL (rtac refl); |
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fun mk_primcorec_taut_tac ctxt = |
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HEADGOAL (etac FalseE) ORELSE |
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unfold_thms_tac ctxt @{thms de_Morgan_conj de_Morgan_disj not_not not_False_eq_True} THEN |
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HEADGOAL (SOLVE o REPEAT o (atac ORELSE' resolve_tac @{thms disjI1 disjI2 conjI TrueI})); |
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fun mk_primcorec_same_case_tac m = |
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HEADGOAL (if m = 0 then rtac TrueI |
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else REPEAT_DETERM_N (m - 1) o (rtac conjI THEN' atac) THEN' atac); |
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fun mk_primcorec_different_case_tac ctxt excl = |
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unfold_thms_tac ctxt @{thms not_not not_False_eq_True} THEN |
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HEADGOAL (rtac excl THEN_ALL_NEW SELECT_GOAL (mk_primcorec_taut_tac ctxt)); |
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fun mk_primcorec_cases_tac ctxt k m exclsss = |
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let val n = length exclsss in |
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EVERY (map (fn [] => if k = n then all_tac else mk_primcorec_same_case_tac m |
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| [excl] => mk_primcorec_different_case_tac ctxt excl) |
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(take k (nth exclsss (k - 1)))) |
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end; |
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fun mk_primcorec_prelude ctxt defs thm = |
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unfold_thms_tac ctxt defs THEN HEADGOAL (rtac thm) THEN unfold_thms_tac ctxt @{thms split}; |
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fun mk_primcorec_disc_tac ctxt defs disc k m exclsss = |
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mk_primcorec_prelude ctxt defs disc THEN mk_primcorec_cases_tac ctxt k m exclsss; |
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fun mk_primcorec_ctr_or_sel_tac ctxt defs eq_thm k m exclsss maps map_idents map_comps = |
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mk_primcorec_prelude ctxt defs (eq_thm RS trans) THEN |
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mk_primcorec_cases_tac ctxt k m exclsss THEN |
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unfold_thms_tac ctxt (@{thms if_if_True if_if_False if_True if_False if_cancel[of _ True] |
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if_cancel[of _ False] o_def split_def sum.cases} @ maps @ map_comps @ map_idents) THEN |
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HEADGOAL (rtac refl); |
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fun mk_primcorec_ctr_of_dtr_tac ctxt m collapse disc sels = |
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HEADGOAL (rtac (collapse RS sym RS trans) THEN' rtac disc THEN' REPEAT_DETERM_N m o atac) THEN |
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unfold_thms_tac ctxt sels THEN HEADGOAL (rtac refl); |
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fun mk_primcorec_code_of_ctr_case_tac ctxt defs ctr_thm = |
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HEADGOAL (REPEAT o rtac @{thm eq_ifI}) THEN |
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mk_primcorec_prelude ctxt defs (ctr_thm RS trans) THEN |
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REPEAT_DETERM_N 2 (HEADGOAL |
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(asm_simp_tac (ss_only @{thms if_True if_False not_False_eq_True} ctxt))); |
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fun mk_primcorec_code_of_ctr_tac ctxt ctr_thms = |
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EVERY (map (mk_primcorec_code_of_ctr_case_tac ctxt []) ctr_thms); |
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fun mk_primcorec_code_tac ctxt raw collapses = |
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HEADGOAL (rtac (raw RS trans)) THEN unfold_thms_tac ctxt @{thms split_ifs} THEN |
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Method.intros_tac @{thms conjI impI} [] THEN |
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REPEAT (HEADGOAL (rtac refl ORELSE' (etac notE THEN' atac) ORELSE' |
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eresolve_tac (maps (fn thm => [thm, thm RS sym]) collapses))); |
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end; |