author | huffman |
Wed, 03 Mar 2010 08:26:01 -0800 | |
changeset 35561 | b56d5b1b1a55 |
parent 35526 | 85e9423d7deb |
child 35777 | bcc77916b7b9 |
permissions | -rw-r--r-- |
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(* Title: HOLCF/Tools/domain/domain_constructors.ML |
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Author: Brian Huffman |
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Defines constructor functions for a given domain isomorphism |
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and proves related theorems. |
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*) |
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signature DOMAIN_CONSTRUCTORS = |
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sig |
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val add_domain_constructors : |
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string |
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-> (binding * (bool * binding option * typ) list * mixfix) list |
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-> Domain_Take_Proofs.iso_info |
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-> theory |
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-> { con_consts : term list, |
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con_betas : thm list, |
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exhaust : thm, |
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casedist : thm, |
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con_compacts : thm list, |
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con_rews : thm list, |
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inverts : thm list, |
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injects : thm list, |
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dist_les : thm list, |
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dist_eqs : thm list, |
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cases : thm list, |
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sel_rews : thm list, |
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dis_rews : thm list, |
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match_rews : thm list, |
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pat_rews : thm list |
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} * theory; |
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end; |
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structure Domain_Constructors :> DOMAIN_CONSTRUCTORS = |
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struct |
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open HOLCF_Library; |
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infixr 6 ->>; |
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infix -->>; |
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infix 9 `; |
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(************************** miscellaneous functions ***************************) |
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val simple_ss = |
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HOL_basic_ss addsimps simp_thms; |
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val beta_ss = |
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HOL_basic_ss |
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addsimps simp_thms |
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addsimps [@{thm beta_cfun}] |
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addsimprocs [@{simproc cont_proc}]; |
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fun define_consts |
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(specs : (binding * term * mixfix) list) |
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(thy : theory) |
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: (term list * thm list) * theory = |
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let |
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fun mk_decl (b, t, mx) = (b, fastype_of t, mx); |
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val decls = map mk_decl specs; |
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val thy = Cont_Consts.add_consts decls thy; |
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fun mk_const (b, T, mx) = Const (Sign.full_name thy b, T); |
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val consts = map mk_const decls; |
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fun mk_def c (b, t, mx) = |
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(Binding.suffix_name "_def" b, Logic.mk_equals (c, t)); |
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val defs = map2 mk_def consts specs; |
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val (def_thms, thy) = |
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PureThy.add_defs false (map Thm.no_attributes defs) thy; |
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in |
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((consts, def_thms), thy) |
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end; |
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fun prove |
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(thy : theory) |
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(defs : thm list) |
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(goal : term) |
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(tacs : {prems: thm list, context: Proof.context} -> tactic list) |
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: thm = |
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let |
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fun tac {prems, context} = |
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rewrite_goals_tac defs THEN |
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EVERY (tacs {prems = map (rewrite_rule defs) prems, context = context}) |
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in |
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Goal.prove_global thy [] [] goal tac |
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end; |
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fun get_vars_avoiding |
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(taken : string list) |
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(args : (bool * typ) list) |
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: (term list * term list) = |
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let |
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val Ts = map snd args; |
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val ns = Name.variant_list taken (Datatype_Prop.make_tnames Ts); |
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val vs = map Free (ns ~~ Ts); |
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val nonlazy = map snd (filter_out (fst o fst) (args ~~ vs)); |
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in |
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(vs, nonlazy) |
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end; |
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fun get_vars args = get_vars_avoiding [] args; |
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(************** generating beta reduction rules from definitions **************) |
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local |
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fun arglist (Const _ $ Abs (s, T, t)) = |
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let |
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val arg = Free (s, T); |
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val (args, body) = arglist (subst_bound (arg, t)); |
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in (arg :: args, body) end |
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| arglist t = ([], t); |
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in |
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fun beta_of_def thy def_thm = |
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let |
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val (con, lam) = Logic.dest_equals (concl_of def_thm); |
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val (args, rhs) = arglist lam; |
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val lhs = list_ccomb (con, args); |
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val goal = mk_equals (lhs, rhs); |
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val cs = ContProc.cont_thms lam; |
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val betas = map (fn c => mk_meta_eq (c RS @{thm beta_cfun})) cs; |
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in |
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prove thy (def_thm::betas) goal (K [rtac reflexive_thm 1]) |
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end; |
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end; |
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(******************************************************************************) |
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(************* definitions and theorems for constructor functions *************) |
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(******************************************************************************) |
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fun add_constructors |
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(spec : (binding * (bool * typ) list * mixfix) list) |
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(abs_const : term) |
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(iso_locale : thm) |
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(thy : theory) |
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= |
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let |
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(* get theorems about rep and abs *) |
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val abs_strict = iso_locale RS @{thm iso.abs_strict}; |
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(* get types of type isomorphism *) |
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val (rhsT, lhsT) = dest_cfunT (fastype_of abs_const); |
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fun vars_of args = |
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let |
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val Ts = map snd args; |
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val ns = Datatype_Prop.make_tnames Ts; |
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in |
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map Free (ns ~~ Ts) |
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end; |
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(* define constructor functions *) |
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val ((con_consts, con_defs), thy) = |
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let |
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fun one_arg (lazy, T) var = if lazy then mk_up var else var; |
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fun one_con (_,args,_) = mk_stuple (map2 one_arg args (vars_of args)); |
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fun mk_abs t = abs_const ` t; |
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val rhss = map mk_abs (mk_sinjects (map one_con spec)); |
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fun mk_def (bind, args, mx) rhs = |
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(bind, big_lambdas (vars_of args) rhs, mx); |
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in |
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define_consts (map2 mk_def spec rhss) thy |
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end; |
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(* prove beta reduction rules for constructors *) |
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val con_betas = map (beta_of_def thy) con_defs; |
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(* replace bindings with terms in constructor spec *) |
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val spec' : (term * (bool * typ) list) list = |
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let fun one_con con (b, args, mx) = (con, args); |
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in map2 one_con con_consts spec end; |
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(* prove exhaustiveness of constructors *) |
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local |
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fun arg2typ n (true, T) = (n+1, mk_upT (TVar (("'a", n), @{sort cpo}))) |
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| arg2typ n (false, T) = (n+1, TVar (("'a", n), @{sort pcpo})); |
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fun args2typ n [] = (n, oneT) |
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| args2typ n [arg] = arg2typ n arg |
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| args2typ n (arg::args) = |
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let |
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val (n1, t1) = arg2typ n arg; |
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val (n2, t2) = args2typ n1 args |
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in (n2, mk_sprodT (t1, t2)) end; |
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fun cons2typ n [] = (n, oneT) |
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| cons2typ n [con] = args2typ n (snd con) |
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| cons2typ n (con::cons) = |
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let |
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val (n1, t1) = args2typ n (snd con); |
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val (n2, t2) = cons2typ n1 cons |
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in (n2, mk_ssumT (t1, t2)) end; |
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val ct = ctyp_of thy (snd (cons2typ 1 spec')); |
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val thm1 = instantiate' [SOME ct] [] @{thm exh_start}; |
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val thm2 = rewrite_rule (map mk_meta_eq @{thms ex_defined_iffs}) thm1; |
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val thm3 = rewrite_rule [mk_meta_eq @{thm conj_assoc}] thm2; |
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val y = Free ("y", lhsT); |
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fun one_con (con, args) = |
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let |
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val (vs, nonlazy) = get_vars_avoiding ["y"] args; |
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val eqn = mk_eq (y, list_ccomb (con, vs)); |
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val conj = foldr1 mk_conj (eqn :: map mk_defined nonlazy); |
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in Library.foldr mk_ex (vs, conj) end; |
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val goal = mk_trp (foldr1 mk_disj (mk_undef y :: map one_con spec')); |
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(* first 3 rules replace "y = UU \/ P" with "rep$y = UU \/ P" *) |
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val tacs = [ |
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rtac (iso_locale RS @{thm iso.casedist_rule}) 1, |
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rewrite_goals_tac [mk_meta_eq (iso_locale RS @{thm iso.iso_swap})], |
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rtac thm3 1]; |
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in |
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val exhaust = prove thy con_betas goal (K tacs); |
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val casedist = |
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(exhaust RS @{thm exh_casedist0}) |
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|> rewrite_rule @{thms exh_casedists} |
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|> Drule.export_without_context; |
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end; |
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(* prove compactness rules for constructors *) |
217 |
val con_compacts = |
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218 |
let |
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val rules = @{thms compact_sinl compact_sinr compact_spair |
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compact_up compact_ONE}; |
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221 |
val tacs = |
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222 |
[rtac (iso_locale RS @{thm iso.compact_abs}) 1, |
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REPEAT (resolve_tac rules 1 ORELSE atac 1)]; |
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fun con_compact (con, args) = |
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225 |
let |
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val vs = vars_of args; |
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val con_app = list_ccomb (con, vs); |
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val concl = mk_trp (mk_compact con_app); |
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val assms = map (mk_trp o mk_compact) vs; |
|
230 |
val goal = Logic.list_implies (assms, concl); |
|
231 |
in |
|
232 |
prove thy con_betas goal (K tacs) |
|
233 |
end; |
|
234 |
in |
|
235 |
map con_compact spec' |
|
236 |
end; |
|
237 |
||
238 |
(* prove strictness rules for constructors *) |
|
239 |
local |
|
240 |
fun con_strict (con, args) = |
|
241 |
let |
|
242 |
val rules = abs_strict :: @{thms con_strict_rules}; |
|
35484 | 243 |
val (vs, nonlazy) = get_vars args; |
35453 | 244 |
fun one_strict v' = |
245 |
let |
|
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246 |
val UU = mk_bottom (fastype_of v'); |
35453 | 247 |
val vs' = map (fn v => if v = v' then UU else v) vs; |
248 |
val goal = mk_trp (mk_undef (list_ccomb (con, vs'))); |
|
249 |
val tacs = [simp_tac (HOL_basic_ss addsimps rules) 1]; |
|
250 |
in prove thy con_betas goal (K tacs) end; |
|
251 |
in map one_strict nonlazy end; |
|
252 |
||
253 |
fun con_defin (con, args) = |
|
254 |
let |
|
255 |
fun iff_disj (t, []) = HOLogic.mk_not t |
|
256 |
| iff_disj (t, ts) = mk_eq (t, foldr1 HOLogic.mk_disj ts); |
|
35484 | 257 |
val (vs, nonlazy) = get_vars args; |
35453 | 258 |
val lhs = mk_undef (list_ccomb (con, vs)); |
259 |
val rhss = map mk_undef nonlazy; |
|
260 |
val goal = mk_trp (iff_disj (lhs, rhss)); |
|
261 |
val rule1 = iso_locale RS @{thm iso.abs_defined_iff}; |
|
262 |
val rules = rule1 :: @{thms con_defined_iff_rules}; |
|
263 |
val tacs = [simp_tac (HOL_ss addsimps rules) 1]; |
|
264 |
in prove thy con_betas goal (K tacs) end; |
|
265 |
in |
|
266 |
val con_stricts = maps con_strict spec'; |
|
267 |
val con_defins = map con_defin spec'; |
|
268 |
val con_rews = con_stricts @ con_defins; |
|
269 |
end; |
|
270 |
||
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|
271 |
(* prove injectiveness of constructors *) |
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|
272 |
local |
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|
273 |
fun pgterm rel (con, args) = |
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|
274 |
let |
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|
275 |
fun prime (Free (n, T)) = Free (n^"'", T) |
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|
276 |
| prime t = t; |
35484 | 277 |
val (xs, nonlazy) = get_vars args; |
35456
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changeset
|
278 |
val ys = map prime xs; |
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changeset
|
279 |
val lhs = rel (list_ccomb (con, xs), list_ccomb (con, ys)); |
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changeset
|
280 |
val rhs = foldr1 mk_conj (ListPair.map rel (xs, ys)); |
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changeset
|
281 |
val concl = mk_trp (mk_eq (lhs, rhs)); |
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changeset
|
282 |
val zs = case args of [_] => [] | _ => nonlazy; |
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changeset
|
283 |
val assms = map (mk_trp o mk_defined) zs; |
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changeset
|
284 |
val goal = Logic.list_implies (assms, concl); |
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changeset
|
285 |
in prove thy con_betas goal end; |
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changeset
|
286 |
val cons' = filter (fn (_, args) => not (null args)) spec'; |
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changeset
|
287 |
in |
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changeset
|
288 |
val inverts = |
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changeset
|
289 |
let |
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changeset
|
290 |
val abs_below = iso_locale RS @{thm iso.abs_below}; |
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changeset
|
291 |
val rules1 = abs_below :: @{thms sinl_below sinr_below spair_below up_below}; |
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changeset
|
292 |
val rules2 = @{thms up_defined spair_defined ONE_defined} |
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diff
changeset
|
293 |
val rules = rules1 @ rules2; |
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diff
changeset
|
294 |
val tacs = [asm_simp_tac (simple_ss addsimps rules) 1]; |
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changeset
|
295 |
in map (fn c => pgterm mk_below c (K tacs)) cons' end; |
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changeset
|
296 |
val injects = |
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changeset
|
297 |
let |
5356534f880e
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changeset
|
298 |
val abs_eq = iso_locale RS @{thm iso.abs_eq}; |
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diff
changeset
|
299 |
val rules1 = abs_eq :: @{thms sinl_eq sinr_eq spair_eq up_eq}; |
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diff
changeset
|
300 |
val rules2 = @{thms up_defined spair_defined ONE_defined} |
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diff
changeset
|
301 |
val rules = rules1 @ rules2; |
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diff
changeset
|
302 |
val tacs = [asm_simp_tac (simple_ss addsimps rules) 1]; |
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changeset
|
303 |
in map (fn c => pgterm mk_eq c (K tacs)) cons' end; |
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changeset
|
304 |
end; |
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diff
changeset
|
305 |
|
35458
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diff
changeset
|
306 |
(* prove distinctness of constructors *) |
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diff
changeset
|
307 |
local |
deaf221c4a59
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diff
changeset
|
308 |
fun map_dist (f : 'a -> 'a -> 'b) (xs : 'a list) : 'b list = |
deaf221c4a59
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huffman
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diff
changeset
|
309 |
flat (map_index (fn (i, x) => map (f x) (nth_drop i xs)) xs); |
deaf221c4a59
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huffman
parents:
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diff
changeset
|
310 |
fun prime (Free (n, T)) = Free (n^"'", T) |
deaf221c4a59
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huffman
parents:
35457
diff
changeset
|
311 |
| prime t = t; |
deaf221c4a59
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huffman
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diff
changeset
|
312 |
fun iff_disj (t, []) = mk_not t |
deaf221c4a59
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huffman
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diff
changeset
|
313 |
| iff_disj (t, ts) = mk_eq (t, foldr1 mk_disj ts); |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
314 |
fun iff_disj2 (t, [], us) = mk_not t |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
315 |
| iff_disj2 (t, ts, []) = mk_not t |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
316 |
| iff_disj2 (t, ts, us) = |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
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35457
diff
changeset
|
317 |
mk_eq (t, mk_conj (foldr1 mk_disj ts, foldr1 mk_disj us)); |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
318 |
fun dist_le (con1, args1) (con2, args2) = |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
319 |
let |
35484 | 320 |
val (vs1, zs1) = get_vars args1; |
321 |
val (vs2, zs2) = get_vars args2 |> pairself (map prime); |
|
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
322 |
val lhs = mk_below (list_ccomb (con1, vs1), list_ccomb (con2, vs2)); |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
323 |
val rhss = map mk_undef zs1; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
324 |
val goal = mk_trp (iff_disj (lhs, rhss)); |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
325 |
val rule1 = iso_locale RS @{thm iso.abs_below}; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
326 |
val rules = rule1 :: @{thms con_below_iff_rules}; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
327 |
val tacs = [simp_tac (HOL_ss addsimps rules) 1]; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
328 |
in prove thy con_betas goal (K tacs) end; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
329 |
fun dist_eq (con1, args1) (con2, args2) = |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
330 |
let |
35484 | 331 |
val (vs1, zs1) = get_vars args1; |
332 |
val (vs2, zs2) = get_vars args2 |> pairself (map prime); |
|
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
333 |
val lhs = mk_eq (list_ccomb (con1, vs1), list_ccomb (con2, vs2)); |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
334 |
val rhss1 = map mk_undef zs1; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
335 |
val rhss2 = map mk_undef zs2; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
336 |
val goal = mk_trp (iff_disj2 (lhs, rhss1, rhss2)); |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
337 |
val rule1 = iso_locale RS @{thm iso.abs_eq}; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
338 |
val rules = rule1 :: @{thms con_eq_iff_rules}; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
339 |
val tacs = [simp_tac (HOL_ss addsimps rules) 1]; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
340 |
in prove thy con_betas goal (K tacs) end; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
341 |
in |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
342 |
val dist_les = map_dist dist_le spec'; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
343 |
val dist_eqs = map_dist dist_eq spec'; |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
344 |
end; |
35456
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
345 |
|
35453 | 346 |
val result = |
347 |
{ |
|
348 |
con_consts = con_consts, |
|
349 |
con_betas = con_betas, |
|
35457
d63655b88369
move proofs of casedist into domain_constructors.ML
huffman
parents:
35456
diff
changeset
|
350 |
exhaust = exhaust, |
d63655b88369
move proofs of casedist into domain_constructors.ML
huffman
parents:
35456
diff
changeset
|
351 |
casedist = casedist, |
35453 | 352 |
con_compacts = con_compacts, |
35456
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
353 |
con_rews = con_rews, |
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
354 |
inverts = inverts, |
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
355 |
injects = injects, |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
356 |
dist_les = dist_les, |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
357 |
dist_eqs = dist_eqs |
35453 | 358 |
}; |
359 |
in |
|
360 |
(result, thy) |
|
361 |
end; |
|
362 |
||
363 |
(******************************************************************************) |
|
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
364 |
(**************** definition and theorems for case combinator *****************) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
365 |
(******************************************************************************) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
366 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
367 |
fun add_case_combinator |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
368 |
(spec : (term * (bool * typ) list) list) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
369 |
(lhsT : typ) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
370 |
(dname : string) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
371 |
(con_betas : thm list) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
372 |
(casedist : thm) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
373 |
(iso_locale : thm) |
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
374 |
(rep_const : term) |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
375 |
(thy : theory) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
376 |
: ((typ -> term) * thm list) * theory = |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
377 |
let |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
378 |
|
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
379 |
(* TODO: move these to holcf_library.ML *) |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
380 |
fun one_when_const T = Const (@{const_name one_when}, T ->> oneT ->> T); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
381 |
fun mk_one_when t = one_when_const (fastype_of t) ` t; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
382 |
fun mk_sscase (t, u) = |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
383 |
let |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
384 |
val (T, V) = dest_cfunT (fastype_of t); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
385 |
val (U, V) = dest_cfunT (fastype_of u); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
386 |
in sscase_const (T, U, V) ` t ` u end; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
387 |
fun strictify_const T = Const (@{const_name strictify}, T ->> T); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
388 |
fun mk_strictify t = strictify_const (fastype_of t) ` t; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
389 |
fun ssplit_const (T, U, V) = |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
390 |
Const (@{const_name ssplit}, (T ->> U ->> V) ->> mk_sprodT (T, U) ->> V); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
391 |
fun mk_ssplit t = |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
392 |
let val (T, (U, V)) = apsnd dest_cfunT (dest_cfunT (fastype_of t)); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
393 |
in ssplit_const (T, U, V) ` t end; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
394 |
fun lambda_stuple [] t = mk_one_when t |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
395 |
| lambda_stuple [x] t = mk_strictify (big_lambda x t) |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
396 |
| lambda_stuple [x,y] t = mk_ssplit (big_lambdas [x, y] t) |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
397 |
| lambda_stuple (x::xs) t = mk_ssplit (big_lambda x (lambda_stuple xs t)); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
398 |
|
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
399 |
(* eta contraction for simplifying definitions *) |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
400 |
fun cont_eta_contract (Const(@{const_name Abs_CFun},TT) $ Abs(a,T,body)) = |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
401 |
(case cont_eta_contract body of |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
402 |
body' as (Const(@{const_name Abs_CFun},Ta) $ f $ Bound 0) => |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
403 |
if not (0 mem loose_bnos f) then incr_boundvars ~1 f |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
404 |
else Const(@{const_name Abs_CFun},TT) $ Abs(a,T,body') |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
405 |
| body' => Const(@{const_name Abs_CFun},TT) $ Abs(a,T,body')) |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
406 |
| cont_eta_contract(f$t) = cont_eta_contract f $ cont_eta_contract t |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
407 |
| cont_eta_contract t = t; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
408 |
|
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
409 |
(* prove rep/abs rules *) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
410 |
val rep_strict = iso_locale RS @{thm iso.rep_strict}; |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
411 |
val abs_inverse = iso_locale RS @{thm iso.abs_iso}; |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
412 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
413 |
(* calculate function arguments of case combinator *) |
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
414 |
val tns = map (fst o dest_TFree) (snd (dest_Type lhsT)); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
415 |
val resultT = TFree (Name.variant tns "'t", @{sort pcpo}); |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
416 |
fun fTs T = map (fn (_, args) => map snd args -->> T) spec; |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
417 |
val fns = Datatype_Prop.indexify_names (map (K "f") spec); |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
418 |
val fs = map Free (fns ~~ fTs resultT); |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
419 |
fun caseT T = fTs T -->> (lhsT ->> T); |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
420 |
|
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
421 |
(* definition of case combinator *) |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
422 |
local |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
423 |
val case_bind = Binding.name (dname ^ "_when"); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
424 |
fun one_con f (_, args) = |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
425 |
let |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
426 |
fun argT (lazy, T) = if lazy then mk_upT T else T; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
427 |
fun down (lazy, T) v = if lazy then from_up T ` v else v; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
428 |
val Ts = map argT args; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
429 |
val ns = Name.variant_list fns (Datatype_Prop.make_tnames Ts); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
430 |
val vs = map Free (ns ~~ Ts); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
431 |
val xs = map2 down args vs; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
432 |
in |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
433 |
cont_eta_contract (lambda_stuple vs (list_ccomb (f, xs))) |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
434 |
end; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
435 |
val body = foldr1 mk_sscase (map2 one_con fs spec); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
436 |
val rhs = big_lambdas fs (mk_cfcomp (body, rep_const)); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
437 |
val ((case_consts, case_defs), thy) = |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
438 |
define_consts [(case_bind, rhs, NoSyn)] thy; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
439 |
val case_name = Sign.full_name thy case_bind; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
440 |
in |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
441 |
val case_def = hd case_defs; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
442 |
fun case_const T = Const (case_name, caseT T); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
443 |
val case_app = list_ccomb (case_const resultT, fs); |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
444 |
val thy = thy; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
445 |
end; |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
446 |
|
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
447 |
(* define syntax for case combinator *) |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
448 |
(* TODO: re-implement case syntax using a parse translation *) |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
449 |
local |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
450 |
open Syntax |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
451 |
fun syntax c = Syntax.mark_const (fst (dest_Const c)); |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
452 |
fun xconst c = Long_Name.base_name (fst (dest_Const c)); |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
453 |
fun c_ast authentic con = |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
454 |
Constant (if authentic then syntax con else xconst con); |
35485 | 455 |
fun showint n = string_of_int (n+1); |
456 |
fun expvar n = Variable ("e" ^ showint n); |
|
457 |
fun argvar n (m, _) = Variable ("a" ^ showint n ^ "_" ^ showint m); |
|
458 |
fun argvars n args = map_index (argvar n) args; |
|
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
459 |
fun app s (l, r) = mk_appl (Constant s) [l, r]; |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
460 |
val cabs = app "_cabs"; |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
461 |
val capp = app @{const_syntax Rep_CFun}; |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
462 |
val capps = Library.foldl capp |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
463 |
fun con1 authentic n (con,args) = |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
464 |
Library.foldl capp (c_ast authentic con, argvars n args); |
35485 | 465 |
fun case1 authentic (n, c) = |
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
466 |
app "_case1" (con1 authentic n c, expvar n); |
35485 | 467 |
fun arg1 (n, (con,args)) = List.foldr cabs (expvar n) (argvars n args); |
468 |
fun when1 n (m, c) = |
|
469 |
if n = m then arg1 (n, c) else (Constant @{const_syntax UU}); |
|
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
470 |
val case_constant = Constant (syntax (case_const dummyT)); |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
471 |
fun case_trans authentic = |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
472 |
ParsePrintRule |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
473 |
(app "_case_syntax" |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
474 |
(Variable "x", |
35485 | 475 |
foldr1 (app "_case2") (map_index (case1 authentic) spec)), |
476 |
capp (capps (case_constant, map_index arg1 spec), Variable "x")); |
|
477 |
fun one_abscon_trans authentic (n, c) = |
|
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
478 |
ParsePrintRule |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
479 |
(cabs (con1 authentic n c, expvar n), |
35485 | 480 |
capps (case_constant, map_index (when1 n) spec)); |
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
481 |
fun abscon_trans authentic = |
35485 | 482 |
map_index (one_abscon_trans authentic) spec; |
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
483 |
val trans_rules : ast Syntax.trrule list = |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
484 |
case_trans false :: case_trans true :: |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
485 |
abscon_trans false @ abscon_trans true; |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
486 |
in |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
487 |
val thy = Sign.add_trrules_i trans_rules thy; |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
488 |
end; |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
489 |
|
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
490 |
(* prove beta reduction rule for case combinator *) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
491 |
val case_beta = beta_of_def thy case_def; |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
492 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
493 |
(* prove strictness of case combinator *) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
494 |
val case_strict = |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
495 |
let |
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
496 |
val defs = case_beta :: map mk_meta_eq [rep_strict, @{thm cfcomp2}]; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
497 |
val goal = mk_trp (mk_strict case_app); |
35496 | 498 |
val rules = @{thms sscase1 ssplit1 strictify1 one_when1}; |
499 |
val tacs = [resolve_tac rules 1]; |
|
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
500 |
in prove thy defs goal (K tacs) end; |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
501 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
502 |
(* prove rewrites for case combinator *) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
503 |
local |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
504 |
fun one_case (con, args) f = |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
505 |
let |
35483 | 506 |
val (vs, nonlazy) = get_vars args; |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
507 |
val assms = map (mk_trp o mk_defined) nonlazy; |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
508 |
val lhs = case_app ` list_ccomb (con, vs); |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
509 |
val rhs = list_ccomb (f, vs); |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
510 |
val concl = mk_trp (mk_eq (lhs, rhs)); |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
511 |
val goal = Logic.list_implies (assms, concl); |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
512 |
val defs = case_beta :: con_betas; |
35488 | 513 |
val rules1 = @{thms strictify2 sscase2 sscase3 ssplit2 fup2 ID1}; |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
514 |
val rules2 = @{thms con_defined_iff_rules}; |
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
515 |
val rules3 = @{thms cfcomp2 one_when2}; |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
516 |
val rules = abs_inverse :: rules1 @ rules2 @ rules3; |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
517 |
val tacs = [asm_simp_tac (beta_ss addsimps rules) 1]; |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
518 |
in prove thy defs goal (K tacs) end; |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
519 |
in |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
520 |
val case_apps = map2 one_case spec fs; |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
521 |
end |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
522 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
523 |
in |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
524 |
((case_const, case_strict :: case_apps), thy) |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
525 |
end |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
526 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
527 |
(******************************************************************************) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
528 |
(************** definitions and theorems for selector functions ***************) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
529 |
(******************************************************************************) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
530 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
531 |
fun add_selectors |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
532 |
(spec : (term * (bool * binding option * typ) list) list) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
533 |
(rep_const : term) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
534 |
(abs_inv : thm) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
535 |
(rep_strict : thm) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
536 |
(rep_strict_iff : thm) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
537 |
(con_betas : thm list) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
538 |
(thy : theory) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
539 |
: thm list * theory = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
540 |
let |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
541 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
542 |
(* define selector functions *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
543 |
val ((sel_consts, sel_defs), thy) = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
544 |
let |
35456
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
545 |
fun rangeT s = snd (dest_cfunT (fastype_of s)); |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
546 |
fun mk_outl s = mk_cfcomp (from_sinl (dest_ssumT (rangeT s)), s); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
547 |
fun mk_outr s = mk_cfcomp (from_sinr (dest_ssumT (rangeT s)), s); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
548 |
fun mk_sfst s = mk_cfcomp (sfst_const (dest_sprodT (rangeT s)), s); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
549 |
fun mk_ssnd s = mk_cfcomp (ssnd_const (dest_sprodT (rangeT s)), s); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
550 |
fun mk_down s = mk_cfcomp (from_up (dest_upT (rangeT s)), s); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
551 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
552 |
fun sels_of_arg s (lazy, NONE, T) = [] |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
553 |
| sels_of_arg s (lazy, SOME b, T) = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
554 |
[(b, if lazy then mk_down s else s, NoSyn)]; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
555 |
fun sels_of_args s [] = [] |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
556 |
| sels_of_args s (v :: []) = sels_of_arg s v |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
557 |
| sels_of_args s (v :: vs) = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
558 |
sels_of_arg (mk_sfst s) v @ sels_of_args (mk_ssnd s) vs; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
559 |
fun sels_of_cons s [] = [] |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
560 |
| sels_of_cons s ((con, args) :: []) = sels_of_args s args |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
561 |
| sels_of_cons s ((con, args) :: cs) = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
562 |
sels_of_args (mk_outl s) args @ sels_of_cons (mk_outr s) cs; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
563 |
val sel_eqns : (binding * term * mixfix) list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
564 |
sels_of_cons rep_const spec; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
565 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
566 |
define_consts sel_eqns thy |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
567 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
568 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
569 |
(* replace bindings with terms in constructor spec *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
570 |
val spec2 : (term * (bool * term option * typ) list) list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
571 |
let |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
572 |
fun prep_arg (lazy, NONE, T) sels = ((lazy, NONE, T), sels) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
573 |
| prep_arg (lazy, SOME _, T) sels = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
574 |
((lazy, SOME (hd sels), T), tl sels); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
575 |
fun prep_con (con, args) sels = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
576 |
apfst (pair con) (fold_map prep_arg args sels); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
577 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
578 |
fst (fold_map prep_con spec sel_consts) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
579 |
end; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
580 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
581 |
(* prove selector strictness rules *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
582 |
val sel_stricts : thm list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
583 |
let |
35449 | 584 |
val rules = rep_strict :: @{thms sel_strict_rules}; |
585 |
val tacs = [simp_tac (HOL_basic_ss addsimps rules) 1]; |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
586 |
fun sel_strict sel = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
587 |
let |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
588 |
val goal = mk_trp (mk_strict sel); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
589 |
in |
35449 | 590 |
prove thy sel_defs goal (K tacs) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
591 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
592 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
593 |
map sel_strict sel_consts |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
594 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
595 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
596 |
(* prove selector application rules *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
597 |
val sel_apps : thm list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
598 |
let |
35449 | 599 |
val defs = con_betas @ sel_defs; |
35456
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
600 |
val rules = abs_inv :: @{thms sel_app_rules}; |
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
601 |
val tacs = [asm_simp_tac (simple_ss addsimps rules) 1]; |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
602 |
fun sel_apps_of (i, (con, args)) = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
603 |
let |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
604 |
val Ts : typ list = map #3 args; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
605 |
val ns : string list = Datatype_Prop.make_tnames Ts; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
606 |
val vs : term list = map Free (ns ~~ Ts); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
607 |
val con_app : term = list_ccomb (con, vs); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
608 |
val vs' : (bool * term) list = map #1 args ~~ vs; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
609 |
fun one_same (n, sel, T) = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
610 |
let |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
611 |
val xs = map snd (filter_out fst (nth_drop n vs')); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
612 |
val assms = map (mk_trp o mk_defined) xs; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
613 |
val concl = mk_trp (mk_eq (sel ` con_app, nth vs n)); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
614 |
val goal = Logic.list_implies (assms, concl); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
615 |
in |
35449 | 616 |
prove thy defs goal (K tacs) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
617 |
end; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
618 |
fun one_diff (n, sel, T) = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
619 |
let |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
620 |
val goal = mk_trp (mk_eq (sel ` con_app, mk_bottom T)); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
621 |
in |
35449 | 622 |
prove thy defs goal (K tacs) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
623 |
end; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
624 |
fun one_con (j, (_, args')) : thm list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
625 |
let |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
626 |
fun prep (i, (lazy, NONE, T)) = NONE |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
627 |
| prep (i, (lazy, SOME sel, T)) = SOME (i, sel, T); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
628 |
val sels : (int * term * typ) list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
629 |
map_filter prep (map_index I args'); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
630 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
631 |
if i = j |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
632 |
then map one_same sels |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
633 |
else map one_diff sels |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
634 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
635 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
636 |
flat (map_index one_con spec2) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
637 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
638 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
639 |
flat (map_index sel_apps_of spec2) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
640 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
641 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
642 |
(* prove selector definedness rules *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
643 |
val sel_defins : thm list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
644 |
let |
35449 | 645 |
val rules = rep_strict_iff :: @{thms sel_defined_iff_rules}; |
646 |
val tacs = [simp_tac (HOL_basic_ss addsimps rules) 1]; |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
647 |
fun sel_defin sel = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
648 |
let |
35456
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
649 |
val (T, U) = dest_cfunT (fastype_of sel); |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
650 |
val x = Free ("x", T); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
651 |
val lhs = mk_eq (sel ` x, mk_bottom U); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
652 |
val rhs = mk_eq (x, mk_bottom T); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
653 |
val goal = mk_trp (mk_eq (lhs, rhs)); |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
654 |
in |
35449 | 655 |
prove thy sel_defs goal (K tacs) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
656 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
657 |
fun one_arg (false, SOME sel, T) = SOME (sel_defin sel) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
658 |
| one_arg _ = NONE; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
659 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
660 |
case spec2 of |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
661 |
[(con, args)] => map_filter one_arg args |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
662 |
| _ => [] |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
663 |
end; |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
664 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
665 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
666 |
(sel_stricts @ sel_defins @ sel_apps, thy) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
667 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
668 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
669 |
(******************************************************************************) |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
670 |
(************ definitions and theorems for discriminator functions ************) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
671 |
(******************************************************************************) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
672 |
|
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
673 |
fun add_discriminators |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
674 |
(bindings : binding list) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
675 |
(spec : (term * (bool * typ) list) list) |
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
676 |
(lhsT : typ) |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
677 |
(casedist : thm) |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
678 |
(case_const : typ -> term) |
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
679 |
(case_rews : thm list) |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
680 |
(thy : theory) = |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
681 |
let |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
682 |
|
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
683 |
fun vars_of args = |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
684 |
let |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
685 |
val Ts = map snd args; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
686 |
val ns = Datatype_Prop.make_tnames Ts; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
687 |
in |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
688 |
map Free (ns ~~ Ts) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
689 |
end; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
690 |
|
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
691 |
(* define discriminator functions *) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
692 |
local |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
693 |
fun dis_fun i (j, (con, args)) = |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
694 |
let |
35483 | 695 |
val (vs, nonlazy) = get_vars args; |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
696 |
val tr = if i = j then @{term TT} else @{term FF}; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
697 |
in |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
698 |
big_lambdas vs tr |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
699 |
end; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
700 |
fun dis_eqn (i, bind) : binding * term * mixfix = |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
701 |
let |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
702 |
val dis_bind = Binding.prefix_name "is_" bind; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
703 |
val rhs = list_ccomb (case_const trT, map_index (dis_fun i) spec); |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
704 |
in |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
705 |
(dis_bind, rhs, NoSyn) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
706 |
end; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
707 |
in |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
708 |
val ((dis_consts, dis_defs), thy) = |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
709 |
define_consts (map_index dis_eqn bindings) thy |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
710 |
end; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
711 |
|
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
712 |
(* prove discriminator strictness rules *) |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
713 |
local |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
714 |
fun dis_strict dis = |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
715 |
let val goal = mk_trp (mk_strict dis); |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
716 |
in prove thy dis_defs goal (K [rtac (hd case_rews) 1]) end; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
717 |
in |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
718 |
val dis_stricts = map dis_strict dis_consts; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
719 |
end; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
720 |
|
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
721 |
(* prove discriminator/constructor rules *) |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
722 |
local |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
723 |
fun dis_app (i, dis) (j, (con, args)) = |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
724 |
let |
35483 | 725 |
val (vs, nonlazy) = get_vars args; |
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
726 |
val lhs = dis ` list_ccomb (con, vs); |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
727 |
val rhs = if i = j then @{term TT} else @{term FF}; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
728 |
val assms = map (mk_trp o mk_defined) nonlazy; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
729 |
val concl = mk_trp (mk_eq (lhs, rhs)); |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
730 |
val goal = Logic.list_implies (assms, concl); |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
731 |
val tacs = [asm_simp_tac (beta_ss addsimps case_rews) 1]; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
732 |
in prove thy dis_defs goal (K tacs) end; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
733 |
fun one_dis (i, dis) = |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
734 |
map_index (dis_app (i, dis)) spec; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
735 |
in |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
736 |
val dis_apps = flat (map_index one_dis dis_consts); |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
737 |
end; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
738 |
|
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
739 |
(* prove discriminator definedness rules *) |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
740 |
local |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
741 |
fun dis_defin dis = |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
742 |
let |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
743 |
val x = Free ("x", lhsT); |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
744 |
val simps = dis_apps @ @{thms dist_eq_tr}; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
745 |
val tacs = |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
746 |
[rtac @{thm iffI} 1, |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
747 |
asm_simp_tac (HOL_basic_ss addsimps dis_stricts) 2, |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
748 |
rtac casedist 1, atac 1, |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
749 |
DETERM_UNTIL_SOLVED (CHANGED |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
750 |
(asm_full_simp_tac (simple_ss addsimps simps) 1))]; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
751 |
val goal = mk_trp (mk_eq (mk_undef (dis ` x), mk_undef x)); |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
752 |
in prove thy [] goal (K tacs) end; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
753 |
in |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
754 |
val dis_defins = map dis_defin dis_consts; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
755 |
end; |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
756 |
|
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
757 |
in |
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
758 |
(dis_stricts @ dis_defins @ dis_apps, thy) |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
759 |
end; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
760 |
|
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
761 |
(******************************************************************************) |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
762 |
(*************** definitions and theorems for match combinators ***************) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
763 |
(******************************************************************************) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
764 |
|
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
765 |
fun add_match_combinators |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
766 |
(bindings : binding list) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
767 |
(spec : (term * (bool * typ) list) list) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
768 |
(lhsT : typ) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
769 |
(casedist : thm) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
770 |
(case_const : typ -> term) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
771 |
(case_rews : thm list) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
772 |
(thy : theory) = |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
773 |
let |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
774 |
|
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
775 |
(* get a fresh type variable for the result type *) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
776 |
val resultT : typ = |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
777 |
let |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
778 |
val ts : string list = map (fst o dest_TFree) (snd (dest_Type lhsT)); |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
779 |
val t : string = Name.variant ts "'t"; |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
780 |
in TFree (t, @{sort pcpo}) end; |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
781 |
|
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
782 |
(* define match combinators *) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
783 |
local |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
784 |
val x = Free ("x", lhsT); |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
785 |
fun k args = Free ("k", map snd args -->> mk_matchT resultT); |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
786 |
val fail = mk_fail resultT; |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
787 |
fun mat_fun i (j, (con, args)) = |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
788 |
let |
35483 | 789 |
val (vs, nonlazy) = get_vars_avoiding ["x","k"] args; |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
790 |
in |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
791 |
if i = j then k args else big_lambdas vs fail |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
792 |
end; |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
793 |
fun mat_eqn (i, (bind, (con, args))) : binding * term * mixfix = |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
794 |
let |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
795 |
val mat_bind = Binding.prefix_name "match_" bind; |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
796 |
val funs = map_index (mat_fun i) spec |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
797 |
val body = list_ccomb (case_const (mk_matchT resultT), funs); |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
798 |
val rhs = big_lambda x (big_lambda (k args) (body ` x)); |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
799 |
in |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
800 |
(mat_bind, rhs, NoSyn) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
801 |
end; |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
802 |
in |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
803 |
val ((match_consts, match_defs), thy) = |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
804 |
define_consts (map_index mat_eqn (bindings ~~ spec)) thy |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
805 |
end; |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
806 |
|
35463
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
807 |
(* register match combinators with fixrec package *) |
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
808 |
local |
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
809 |
val con_names = map (fst o dest_Const o fst) spec; |
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
810 |
val mat_names = map (fst o dest_Const) match_consts; |
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
811 |
in |
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
812 |
val thy = Fixrec.add_matchers (con_names ~~ mat_names) thy; |
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
813 |
end; |
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
814 |
|
35466
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
815 |
(* prove strictness of match combinators *) |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
816 |
local |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
817 |
fun match_strict mat = |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
818 |
let |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
819 |
val (T, (U, V)) = apsnd dest_cfunT (dest_cfunT (fastype_of mat)); |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
820 |
val k = Free ("k", U); |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
821 |
val goal = mk_trp (mk_eq (mat ` mk_bottom T ` k, mk_bottom V)); |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
822 |
val tacs = [asm_simp_tac (beta_ss addsimps case_rews) 1]; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
823 |
in prove thy match_defs goal (K tacs) end; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
824 |
in |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
825 |
val match_stricts = map match_strict match_consts; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
826 |
end; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
827 |
|
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
828 |
(* prove match/constructor rules *) |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
829 |
local |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
830 |
val fail = mk_fail resultT; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
831 |
fun match_app (i, mat) (j, (con, args)) = |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
832 |
let |
35483 | 833 |
val (vs, nonlazy) = get_vars_avoiding ["k"] args; |
35466
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
834 |
val (_, (kT, _)) = apsnd dest_cfunT (dest_cfunT (fastype_of mat)); |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
835 |
val k = Free ("k", kT); |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
836 |
val lhs = mat ` list_ccomb (con, vs) ` k; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
837 |
val rhs = if i = j then list_ccomb (k, vs) else fail; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
838 |
val assms = map (mk_trp o mk_defined) nonlazy; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
839 |
val concl = mk_trp (mk_eq (lhs, rhs)); |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
840 |
val goal = Logic.list_implies (assms, concl); |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
841 |
val tacs = [asm_simp_tac (beta_ss addsimps case_rews) 1]; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
842 |
in prove thy match_defs goal (K tacs) end; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
843 |
fun one_match (i, mat) = |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
844 |
map_index (match_app (i, mat)) spec; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
845 |
in |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
846 |
val match_apps = flat (map_index one_match match_consts); |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
847 |
end; |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
848 |
|
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
849 |
in |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
850 |
(match_stricts @ match_apps, thy) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
851 |
end; |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
852 |
|
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
853 |
(******************************************************************************) |
35468
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
854 |
(************** definitions and theorems for pattern combinators **************) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
855 |
(******************************************************************************) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
856 |
|
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
857 |
fun add_pattern_combinators |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
858 |
(bindings : binding list) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
859 |
(spec : (term * (bool * typ) list) list) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
860 |
(lhsT : typ) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
861 |
(casedist : thm) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
862 |
(case_const : typ -> term) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
863 |
(case_rews : thm list) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
864 |
(thy : theory) = |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
865 |
let |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
866 |
|
35482
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
867 |
(* utility functions *) |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
868 |
fun mk_pair_pat (p1, p2) = |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
869 |
let |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
870 |
val T1 = fastype_of p1; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
871 |
val T2 = fastype_of p2; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
872 |
val (U1, V1) = apsnd dest_matchT (dest_cfunT T1); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
873 |
val (U2, V2) = apsnd dest_matchT (dest_cfunT T2); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
874 |
val pat_typ = [T1, T2] ---> |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
875 |
(mk_prodT (U1, U2) ->> mk_matchT (mk_prodT (V1, V2))); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
876 |
val pat_const = Const (@{const_name cpair_pat}, pat_typ); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
877 |
in |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
878 |
pat_const $ p1 $ p2 |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
879 |
end; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
880 |
fun mk_tuple_pat [] = return_const HOLogic.unitT |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
881 |
| mk_tuple_pat ps = foldr1 mk_pair_pat ps; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
882 |
fun branch_const (T,U,V) = |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
883 |
Const (@{const_name branch}, |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
884 |
(T ->> mk_matchT U) --> (U ->> V) ->> T ->> mk_matchT V); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
885 |
|
35468
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
886 |
(* define pattern combinators *) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
887 |
local |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
888 |
val tns = map (fst o dest_TFree) (snd (dest_Type lhsT)); |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
889 |
|
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
890 |
fun pat_eqn (i, (bind, (con, args))) : binding * term * mixfix = |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
891 |
let |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
892 |
val pat_bind = Binding.suffix_name "_pat" bind; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
893 |
val Ts = map snd args; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
894 |
val Vs = |
35482
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
895 |
(map (K "'t") args) |
35468
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
896 |
|> Datatype_Prop.indexify_names |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
897 |
|> Name.variant_list tns |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
898 |
|> map (fn t => TFree (t, @{sort pcpo})); |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
899 |
val patNs = Datatype_Prop.indexify_names (map (K "pat") args); |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
900 |
val patTs = map2 (fn T => fn V => T ->> mk_matchT V) Ts Vs; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
901 |
val pats = map Free (patNs ~~ patTs); |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
902 |
val fail = mk_fail (mk_tupleT Vs); |
35483 | 903 |
val (vs, nonlazy) = get_vars_avoiding patNs args; |
35468
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
904 |
val rhs = big_lambdas vs (mk_tuple_pat pats ` mk_tuple vs); |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
905 |
fun one_fun (j, (_, args')) = |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
906 |
let |
35483 | 907 |
val (vs', nonlazy) = get_vars_avoiding patNs args'; |
35468
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
908 |
in if i = j then rhs else big_lambdas vs' fail end; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
909 |
val funs = map_index one_fun spec; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
910 |
val body = list_ccomb (case_const (mk_matchT (mk_tupleT Vs)), funs); |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
911 |
in |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
912 |
(pat_bind, lambdas pats body, NoSyn) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
913 |
end; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
914 |
in |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
915 |
val ((pat_consts, pat_defs), thy) = |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
916 |
define_consts (map_index pat_eqn (bindings ~~ spec)) thy |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
917 |
end; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
918 |
|
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
919 |
(* syntax translations for pattern combinators *) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
920 |
local |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
921 |
open Syntax |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
922 |
fun syntax c = Syntax.mark_const (fst (dest_Const c)); |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
923 |
fun app s (l, r) = Syntax.mk_appl (Constant s) [l, r]; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
924 |
val capp = app @{const_syntax Rep_CFun}; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
925 |
val capps = Library.foldl capp |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
926 |
|
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
927 |
fun app_var x = Syntax.mk_appl (Constant "_variable") [x, Variable "rhs"]; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
928 |
fun app_pat x = Syntax.mk_appl (Constant "_pat") [x]; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
929 |
fun args_list [] = Constant "_noargs" |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
930 |
| args_list xs = foldr1 (app "_args") xs; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
931 |
fun one_case_trans (pat, (con, args)) = |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
932 |
let |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
933 |
val cname = Constant (syntax con); |
35470 | 934 |
val pname = Constant (syntax pat); |
35468
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
935 |
val ns = 1 upto length args; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
936 |
val xs = map (fn n => Variable ("x"^(string_of_int n))) ns; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
937 |
val ps = map (fn n => Variable ("p"^(string_of_int n))) ns; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
938 |
val vs = map (fn n => Variable ("v"^(string_of_int n))) ns; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
939 |
in |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
940 |
[ParseRule (app_pat (capps (cname, xs)), |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
941 |
mk_appl pname (map app_pat xs)), |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
942 |
ParseRule (app_var (capps (cname, xs)), |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
943 |
app_var (args_list xs)), |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
944 |
PrintRule (capps (cname, ListPair.map (app "_match") (ps,vs)), |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
945 |
app "_match" (mk_appl pname ps, args_list vs))] |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
946 |
end; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
947 |
val trans_rules : Syntax.ast Syntax.trrule list = |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
948 |
maps one_case_trans (pat_consts ~~ spec); |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
949 |
in |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
950 |
val thy = Sign.add_trrules_i trans_rules thy; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
951 |
end; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
952 |
|
35482
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
953 |
(* prove strictness and reduction rules of pattern combinators *) |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
954 |
local |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
955 |
val tns = map (fst o dest_TFree) (snd (dest_Type lhsT)); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
956 |
val rn = Name.variant tns "'r"; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
957 |
val R = TFree (rn, @{sort pcpo}); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
958 |
fun pat_lhs (pat, args) = |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
959 |
let |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
960 |
val Ts = map snd args; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
961 |
val Vs = |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
962 |
(map (K "'t") args) |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
963 |
|> Datatype_Prop.indexify_names |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
964 |
|> Name.variant_list (rn::tns) |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
965 |
|> map (fn t => TFree (t, @{sort pcpo})); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
966 |
val patNs = Datatype_Prop.indexify_names (map (K "pat") args); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
967 |
val patTs = map2 (fn T => fn V => T ->> mk_matchT V) Ts Vs; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
968 |
val pats = map Free (patNs ~~ patTs); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
969 |
val k = Free ("rhs", mk_tupleT Vs ->> R); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
970 |
val branch1 = branch_const (lhsT, mk_tupleT Vs, R); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
971 |
val fun1 = (branch1 $ list_comb (pat, pats)) ` k; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
972 |
val branch2 = branch_const (mk_tupleT Ts, mk_tupleT Vs, R); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
973 |
val fun2 = (branch2 $ mk_tuple_pat pats) ` k; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
974 |
val taken = "rhs" :: patNs; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
975 |
in (fun1, fun2, taken) end; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
976 |
fun pat_strict (pat, (con, args)) = |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
977 |
let |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
978 |
val (fun1, fun2, taken) = pat_lhs (pat, args); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
979 |
val defs = @{thm branch_def} :: pat_defs; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
980 |
val goal = mk_trp (mk_strict fun1); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
981 |
val rules = @{thm Fixrec.bind_strict} :: case_rews; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
982 |
val tacs = [simp_tac (beta_ss addsimps rules) 1]; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
983 |
in prove thy defs goal (K tacs) end; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
984 |
fun pat_apps (i, (pat, (con, args))) = |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
985 |
let |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
986 |
val (fun1, fun2, taken) = pat_lhs (pat, args); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
987 |
fun pat_app (j, (con', args')) = |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
988 |
let |
35483 | 989 |
val (vs, nonlazy) = get_vars_avoiding taken args'; |
35482
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
990 |
val con_app = list_ccomb (con', vs); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
991 |
val assms = map (mk_trp o mk_defined) nonlazy; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
992 |
val rhs = if i = j then fun2 ` mk_tuple vs else mk_fail R; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
993 |
val concl = mk_trp (mk_eq (fun1 ` con_app, rhs)); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
994 |
val goal = Logic.list_implies (assms, concl); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
995 |
val defs = @{thm branch_def} :: pat_defs; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
996 |
val rules = @{thms bind_fail left_unit} @ case_rews; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
997 |
val tacs = [asm_simp_tac (beta_ss addsimps rules) 1]; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
998 |
in prove thy defs goal (K tacs) end; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
999 |
in map_index pat_app spec end; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
1000 |
in |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
1001 |
val pat_stricts = map pat_strict (pat_consts ~~ spec); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
1002 |
val pat_apps = flat (map_index pat_apps (pat_consts ~~ spec)); |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
1003 |
end; |
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
1004 |
|
35468
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1005 |
in |
35482
d756837b708d
move proofs of pat_rews to domain_constructors.ML
huffman
parents:
35481
diff
changeset
|
1006 |
(pat_stricts @ pat_apps, thy) |
35468
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1007 |
end |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1008 |
|
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1009 |
(******************************************************************************) |
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1010 |
(******************************* main function ********************************) |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1011 |
(******************************************************************************) |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1012 |
|
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1013 |
fun add_domain_constructors |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1014 |
(dname : string) |
35481
7bb9157507a9
add_domain_constructors takes iso_info record as argument
huffman
parents:
35476
diff
changeset
|
1015 |
(spec : (binding * (bool * binding option * typ) list * mixfix) list) |
35514
a2cfa413eaab
move take-related definitions and proofs to new module; simplify map_of_typ functions
huffman
parents:
35496
diff
changeset
|
1016 |
(iso_info : Domain_Take_Proofs.iso_info) |
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1017 |
(thy : theory) = |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1018 |
let |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1019 |
|
35481
7bb9157507a9
add_domain_constructors takes iso_info record as argument
huffman
parents:
35476
diff
changeset
|
1020 |
(* retrieve facts about rep/abs *) |
7bb9157507a9
add_domain_constructors takes iso_info record as argument
huffman
parents:
35476
diff
changeset
|
1021 |
val lhsT = #absT iso_info; |
7bb9157507a9
add_domain_constructors takes iso_info record as argument
huffman
parents:
35476
diff
changeset
|
1022 |
val {rep_const, abs_const, ...} = iso_info; |
7bb9157507a9
add_domain_constructors takes iso_info record as argument
huffman
parents:
35476
diff
changeset
|
1023 |
val abs_iso_thm = #abs_inverse iso_info; |
7bb9157507a9
add_domain_constructors takes iso_info record as argument
huffman
parents:
35476
diff
changeset
|
1024 |
val rep_iso_thm = #rep_inverse iso_info; |
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1025 |
val iso_locale = @{thm iso.intro} OF [abs_iso_thm, rep_iso_thm]; |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1026 |
val rep_strict = iso_locale RS @{thm iso.rep_strict}; |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1027 |
val abs_strict = iso_locale RS @{thm iso.abs_strict}; |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1028 |
val rep_defined_iff = iso_locale RS @{thm iso.rep_defined_iff}; |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1029 |
val abs_defined_iff = iso_locale RS @{thm iso.abs_defined_iff}; |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1030 |
|
35487 | 1031 |
(* qualify constants and theorems with domain name *) |
1032 |
val thy = Sign.add_path dname thy; |
|
1033 |
||
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1034 |
(* define constructor functions *) |
35457
d63655b88369
move proofs of casedist into domain_constructors.ML
huffman
parents:
35456
diff
changeset
|
1035 |
val (con_result, thy) = |
35454
cf6ba350b7ca
remove unnecessary stuff from argument to add_constructors function
huffman
parents:
35453
diff
changeset
|
1036 |
let |
cf6ba350b7ca
remove unnecessary stuff from argument to add_constructors function
huffman
parents:
35453
diff
changeset
|
1037 |
fun prep_arg (lazy, sel, T) = (lazy, T); |
cf6ba350b7ca
remove unnecessary stuff from argument to add_constructors function
huffman
parents:
35453
diff
changeset
|
1038 |
fun prep_con (b, args, mx) = (b, map prep_arg args, mx); |
cf6ba350b7ca
remove unnecessary stuff from argument to add_constructors function
huffman
parents:
35453
diff
changeset
|
1039 |
val con_spec = map prep_con spec; |
cf6ba350b7ca
remove unnecessary stuff from argument to add_constructors function
huffman
parents:
35453
diff
changeset
|
1040 |
in |
cf6ba350b7ca
remove unnecessary stuff from argument to add_constructors function
huffman
parents:
35453
diff
changeset
|
1041 |
add_constructors con_spec abs_const iso_locale thy |
cf6ba350b7ca
remove unnecessary stuff from argument to add_constructors function
huffman
parents:
35453
diff
changeset
|
1042 |
end; |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1043 |
val {con_consts, con_betas, casedist, ...} = con_result; |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1044 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1045 |
(* define case combinator *) |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1046 |
val ((case_const : typ -> term, cases : thm list), thy) = |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1047 |
let |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1048 |
fun prep_arg (lazy, sel, T) = (lazy, T); |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1049 |
fun prep_con c (b, args, mx) = (c, map prep_arg args); |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1050 |
val case_spec = map2 prep_con con_consts spec; |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1051 |
in |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1052 |
add_case_combinator case_spec lhsT dname |
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
1053 |
con_betas casedist iso_locale rep_const thy |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1054 |
end; |
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
1055 |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
1056 |
(* define and prove theorems for selector functions *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
1057 |
val (sel_thms : thm list, thy : theory) = |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1058 |
let |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1059 |
val sel_spec : (term * (bool * binding option * typ) list) list = |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1060 |
map2 (fn con => fn (b, args, mx) => (con, args)) con_consts spec; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1061 |
in |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1062 |
add_selectors sel_spec rep_const |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1063 |
abs_iso_thm rep_strict rep_defined_iff con_betas thy |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1064 |
end; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1065 |
|
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1066 |
(* define and prove theorems for discriminator functions *) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1067 |
val (dis_thms : thm list, thy : theory) = |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1068 |
let |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1069 |
val bindings = map #1 spec; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1070 |
fun prep_arg (lazy, sel, T) = (lazy, T); |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1071 |
fun prep_con c (b, args, mx) = (c, map prep_arg args); |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1072 |
val dis_spec = map2 prep_con con_consts spec; |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1073 |
in |
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
1074 |
add_discriminators bindings dis_spec lhsT |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
1075 |
casedist case_const cases thy |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1076 |
end |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
1077 |
|
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1078 |
(* define and prove theorems for match combinators *) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1079 |
val (match_thms : thm list, thy : theory) = |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1080 |
let |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1081 |
val bindings = map #1 spec; |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1082 |
fun prep_arg (lazy, sel, T) = (lazy, T); |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1083 |
fun prep_con c (b, args, mx) = (c, map prep_arg args); |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1084 |
val mat_spec = map2 prep_con con_consts spec; |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1085 |
in |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1086 |
add_match_combinators bindings mat_spec lhsT |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1087 |
casedist case_const cases thy |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1088 |
end |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1089 |
|
35468
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1090 |
(* define and prove theorems for pattern combinators *) |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1091 |
val (pat_thms : thm list, thy : theory) = |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1092 |
let |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1093 |
val bindings = map #1 spec; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1094 |
fun prep_arg (lazy, sel, T) = (lazy, T); |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1095 |
fun prep_con c (b, args, mx) = (c, map prep_arg args); |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1096 |
val pat_spec = map2 prep_con con_consts spec; |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1097 |
in |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1098 |
add_pattern_combinators bindings pat_spec lhsT |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1099 |
casedist case_const cases thy |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1100 |
end |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1101 |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
1102 |
(* restore original signature path *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
1103 |
val thy = Sign.parent_path thy; |
35444 | 1104 |
|
1105 |
val result = |
|
1106 |
{ con_consts = con_consts, |
|
35451 | 1107 |
con_betas = con_betas, |
35457
d63655b88369
move proofs of casedist into domain_constructors.ML
huffman
parents:
35456
diff
changeset
|
1108 |
exhaust = #exhaust con_result, |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1109 |
casedist = casedist, |
35457
d63655b88369
move proofs of casedist into domain_constructors.ML
huffman
parents:
35456
diff
changeset
|
1110 |
con_compacts = #con_compacts con_result, |
d63655b88369
move proofs of casedist into domain_constructors.ML
huffman
parents:
35456
diff
changeset
|
1111 |
con_rews = #con_rews con_result, |
d63655b88369
move proofs of casedist into domain_constructors.ML
huffman
parents:
35456
diff
changeset
|
1112 |
inverts = #inverts con_result, |
d63655b88369
move proofs of casedist into domain_constructors.ML
huffman
parents:
35456
diff
changeset
|
1113 |
injects = #injects con_result, |
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
1114 |
dist_les = #dist_les con_result, |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
1115 |
dist_eqs = #dist_eqs con_result, |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
1116 |
cases = cases, |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
1117 |
sel_rews = sel_thms, |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
1118 |
dis_rews = dis_thms, |
35468
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1119 |
match_rews = match_thms, |
09bc6a2e2296
move definition and syntax of pattern combinators into domain_constructors.ML
huffman
parents:
35466
diff
changeset
|
1120 |
pat_rews = pat_thms }; |
35444 | 1121 |
in |
1122 |
(result, thy) |
|
1123 |
end; |
|
1124 |
||
1125 |
end; |