author | wenzelm |
Sun, 27 Nov 2011 23:10:19 +0100 | |
changeset 45654 | cf10bde35973 |
parent 44080 | 53d95b52954c |
child 46125 | 00cd193a48dc |
permissions | -rw-r--r-- |
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(* Title: HOL/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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type constr_info = |
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{ |
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iso_info : Domain_Take_Proofs.iso_info, |
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con_specs : (term * (bool * typ) list) list, |
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con_betas : thm list, |
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nchotomy : thm, |
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exhaust : thm, |
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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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} |
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val add_domain_constructors : |
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binding |
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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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-> constr_info * theory |
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end |
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structure Domain_Constructors : DOMAIN_CONSTRUCTORS = |
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struct |
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||
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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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type constr_info = |
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{ |
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iso_info : Domain_Take_Proofs.iso_info, |
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con_specs : (term * (bool * typ) list) list, |
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con_betas : thm list, |
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nchotomy : thm, |
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exhaust : thm, |
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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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} |
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||
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(************************** miscellaneous functions ***************************) |
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val simple_ss = HOL_basic_ss addsimps @{thms simp_thms} |
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val beta_rules = |
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@{thms beta_cfun cont_id cont_const cont2cont_APP cont2cont_LAM'} @ |
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@{thms cont2cont_fst cont2cont_snd cont2cont_Pair} |
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val beta_ss = HOL_basic_ss addsimps (@{thms simp_thms} @ beta_rules) |
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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, _) = 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, _) = |
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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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Global_Theory.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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||
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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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||
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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 (_, 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, _) 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 (_, args, _) = (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, _) = (n+1, mk_upT (TVar (("'a", n), @{sort cpo}))) |
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| arg2typ n (false, _) = (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_bottom_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 rules replace "y = bottom \/ P" with "rep$y = bottom \/ 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 nchotomy = prove thy con_betas goal (K tacs) |
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val exhaust = |
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(nchotomy RS @{thm exh_casedist0}) |
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|> rewrite_rule @{thms exh_casedists} |
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|> Drule.zero_var_indexes |
235 |
end |
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(* prove compactness rules for constructors *) |
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val compacts = |
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let |
240 |
val rules = @{thms compact_sinl compact_sinr compact_spair |
|
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compact_up compact_ONE} |
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val tacs = |
243 |
[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) = |
246 |
let |
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val vs = vars_of args |
248 |
val con_app = list_ccomb (con, vs) |
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249 |
val concl = mk_trp (mk_compact con_app) |
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val assms = map (mk_trp o mk_compact) vs |
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val goal = Logic.list_implies (assms, concl) |
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in |
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prove thy con_betas goal (K tacs) |
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40832 | 254 |
end |
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in |
256 |
map con_compact spec' |
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end |
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|
259 |
(* prove strictness rules for constructors *) |
|
260 |
local |
|
261 |
fun con_strict (con, args) = |
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262 |
let |
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val rules = abs_strict :: @{thms con_strict_rules} |
264 |
val (vs, nonlazy) = get_vars args |
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fun one_strict v' = |
266 |
let |
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val bottom = mk_bottom (fastype_of v') |
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val vs' = map (fn v => if v = v' then bottom else v) vs |
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val goal = mk_trp (mk_undef (list_ccomb (con, vs'))) |
270 |
val tacs = [simp_tac (HOL_basic_ss addsimps rules) 1] |
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271 |
in prove thy con_betas goal (K tacs) end |
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272 |
in map one_strict nonlazy end |
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35453 | 273 |
|
274 |
fun con_defin (con, args) = |
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275 |
let |
|
276 |
fun iff_disj (t, []) = HOLogic.mk_not t |
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| iff_disj (t, ts) = mk_eq (t, foldr1 HOLogic.mk_disj ts) |
278 |
val (vs, nonlazy) = get_vars args |
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val lhs = mk_undef (list_ccomb (con, vs)) |
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val rhss = map mk_undef nonlazy |
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val goal = mk_trp (iff_disj (lhs, rhss)) |
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282 |
val rule1 = iso_locale RS @{thm iso.abs_bottom_iff} |
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283 |
val rules = rule1 :: @{thms con_bottom_iff_rules} |
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284 |
val tacs = [simp_tac (HOL_ss addsimps rules) 1] |
|
285 |
in prove thy con_betas goal (K tacs) end |
|
35453 | 286 |
in |
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val con_stricts = maps con_strict spec' |
288 |
val con_defins = map con_defin spec' |
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289 |
val con_rews = con_stricts @ con_defins |
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290 |
end |
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|
292 |
(* prove injectiveness of constructors *) |
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changeset
|
293 |
local |
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changeset
|
294 |
fun pgterm rel (con, args) = |
5356534f880e
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diff
changeset
|
295 |
let |
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diff
changeset
|
296 |
fun prime (Free (n, T)) = Free (n^"'", T) |
40832 | 297 |
| prime t = t |
298 |
val (xs, nonlazy) = get_vars args |
|
299 |
val ys = map prime xs |
|
300 |
val lhs = rel (list_ccomb (con, xs), list_ccomb (con, ys)) |
|
301 |
val rhs = foldr1 mk_conj (ListPair.map rel (xs, ys)) |
|
302 |
val concl = mk_trp (mk_eq (lhs, rhs)) |
|
303 |
val zs = case args of [_] => [] | _ => nonlazy |
|
304 |
val assms = map (mk_trp o mk_defined) zs |
|
305 |
val goal = Logic.list_implies (assms, concl) |
|
306 |
in prove thy con_betas goal end |
|
307 |
val cons' = filter (fn (_, args) => not (null args)) spec' |
|
35456
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
308 |
in |
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
309 |
val inverts = |
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
310 |
let |
40832 | 311 |
val abs_below = iso_locale RS @{thm iso.abs_below} |
312 |
val rules1 = abs_below :: @{thms sinl_below sinr_below spair_below up_below} |
|
35456
5356534f880e
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huffman
parents:
35455
diff
changeset
|
313 |
val rules2 = @{thms up_defined spair_defined ONE_defined} |
40832 | 314 |
val rules = rules1 @ rules2 |
315 |
val tacs = [asm_simp_tac (simple_ss addsimps rules) 1] |
|
316 |
in map (fn c => pgterm mk_below c (K tacs)) cons' end |
|
35456
5356534f880e
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huffman
parents:
35455
diff
changeset
|
317 |
val injects = |
5356534f880e
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huffman
parents:
35455
diff
changeset
|
318 |
let |
40832 | 319 |
val abs_eq = iso_locale RS @{thm iso.abs_eq} |
320 |
val rules1 = abs_eq :: @{thms sinl_eq sinr_eq spair_eq up_eq} |
|
35456
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
321 |
val rules2 = @{thms up_defined spair_defined ONE_defined} |
40832 | 322 |
val rules = rules1 @ rules2 |
323 |
val tacs = [asm_simp_tac (simple_ss addsimps rules) 1] |
|
324 |
in map (fn c => pgterm mk_eq c (K tacs)) cons' end |
|
325 |
end |
|
35456
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
326 |
|
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
327 |
(* prove distinctness of constructors *) |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
328 |
local |
deaf221c4a59
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huffman
parents:
35457
diff
changeset
|
329 |
fun map_dist (f : 'a -> 'a -> 'b) (xs : 'a list) : 'b list = |
40832 | 330 |
flat (map_index (fn (i, x) => map (f x) (nth_drop i xs)) xs) |
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
331 |
fun prime (Free (n, T)) = Free (n^"'", T) |
40832 | 332 |
| prime t = t |
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
333 |
fun iff_disj (t, []) = mk_not t |
40832 | 334 |
| iff_disj (t, ts) = mk_eq (t, foldr1 mk_disj ts) |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
335 |
fun iff_disj2 (t, [], _) = mk_not t |
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
336 |
| iff_disj2 (t, _, []) = mk_not t |
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
337 |
| iff_disj2 (t, ts, us) = |
40832 | 338 |
mk_eq (t, mk_conj (foldr1 mk_disj ts, foldr1 mk_disj us)) |
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
339 |
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
|
340 |
let |
40832 | 341 |
val (vs1, zs1) = get_vars args1 |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
342 |
val (vs2, _) = get_vars args2 |> pairself (map prime) |
40832 | 343 |
val lhs = mk_below (list_ccomb (con1, vs1), list_ccomb (con2, vs2)) |
344 |
val rhss = map mk_undef zs1 |
|
345 |
val goal = mk_trp (iff_disj (lhs, rhss)) |
|
346 |
val rule1 = iso_locale RS @{thm iso.abs_below} |
|
347 |
val rules = rule1 :: @{thms con_below_iff_rules} |
|
348 |
val tacs = [simp_tac (HOL_ss addsimps rules) 1] |
|
349 |
in prove thy con_betas goal (K tacs) end |
|
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
350 |
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
|
351 |
let |
40832 | 352 |
val (vs1, zs1) = get_vars args1 |
353 |
val (vs2, zs2) = get_vars args2 |> pairself (map prime) |
|
354 |
val lhs = mk_eq (list_ccomb (con1, vs1), list_ccomb (con2, vs2)) |
|
355 |
val rhss1 = map mk_undef zs1 |
|
356 |
val rhss2 = map mk_undef zs2 |
|
357 |
val goal = mk_trp (iff_disj2 (lhs, rhss1, rhss2)) |
|
358 |
val rule1 = iso_locale RS @{thm iso.abs_eq} |
|
359 |
val rules = rule1 :: @{thms con_eq_iff_rules} |
|
360 |
val tacs = [simp_tac (HOL_ss addsimps rules) 1] |
|
361 |
in prove thy con_betas goal (K tacs) end |
|
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
362 |
in |
40832 | 363 |
val dist_les = map_dist dist_le spec' |
364 |
val dist_eqs = map_dist dist_eq spec' |
|
365 |
end |
|
35456
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
366 |
|
35453 | 367 |
val result = |
368 |
{ |
|
369 |
con_consts = con_consts, |
|
370 |
con_betas = con_betas, |
|
35781
b7738ab762b1
renamed some lemmas generated by the domain package
huffman
parents:
35777
diff
changeset
|
371 |
nchotomy = nchotomy, |
35457
d63655b88369
move proofs of casedist into domain_constructors.ML
huffman
parents:
35456
diff
changeset
|
372 |
exhaust = exhaust, |
35781
b7738ab762b1
renamed some lemmas generated by the domain package
huffman
parents:
35777
diff
changeset
|
373 |
compacts = compacts, |
35456
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
374 |
con_rews = con_rews, |
5356534f880e
move proofs of injects and inverts to domain_constructors.ML
huffman
parents:
35455
diff
changeset
|
375 |
inverts = inverts, |
35458
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
376 |
injects = injects, |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
377 |
dist_les = dist_les, |
deaf221c4a59
moved proofs of dist_les and dist_eqs to domain_constructors.ML
huffman
parents:
35457
diff
changeset
|
378 |
dist_eqs = dist_eqs |
40832 | 379 |
} |
35453 | 380 |
in |
381 |
(result, thy) |
|
40832 | 382 |
end |
35453 | 383 |
|
384 |
(******************************************************************************) |
|
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
385 |
(**************** definition and theorems for case combinator *****************) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
386 |
(******************************************************************************) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
387 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
388 |
fun add_case_combinator |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
389 |
(spec : (term * (bool * typ) list) list) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
390 |
(lhsT : typ) |
35777
bcc77916b7b9
pass binding as argument to add_domain_constructors; proper binding for case combinator
huffman
parents:
35561
diff
changeset
|
391 |
(dbind : binding) |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
392 |
(con_betas : thm list) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
393 |
(iso_locale : thm) |
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
394 |
(rep_const : term) |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
395 |
(thy : theory) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
396 |
: ((typ -> term) * thm list) * theory = |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
397 |
let |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
398 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
399 |
(* prove rep/abs rules *) |
40832 | 400 |
val rep_strict = iso_locale RS @{thm iso.rep_strict} |
401 |
val abs_inverse = iso_locale RS @{thm iso.abs_iso} |
|
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
402 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
403 |
(* calculate function arguments of case combinator *) |
40832 | 404 |
val tns = map fst (Term.add_tfreesT lhsT []) |
43324
2b47822868e4
discontinued Name.variant to emphasize that this is old-style / indirect;
wenzelm
parents:
42290
diff
changeset
|
405 |
val resultT = TFree (singleton (Name.variant_list tns) "'t", @{sort pcpo}) |
40832 | 406 |
fun fTs T = map (fn (_, args) => map snd args -->> T) spec |
407 |
val fns = Datatype_Prop.indexify_names (map (K "f") spec) |
|
408 |
val fs = map Free (fns ~~ fTs resultT) |
|
409 |
fun caseT T = fTs T -->> (lhsT ->> T) |
|
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
410 |
|
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
411 |
(* definition of case combinator *) |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
412 |
local |
40832 | 413 |
val case_bind = Binding.suffix_name "_case" dbind |
35784 | 414 |
fun lambda_arg (lazy, v) t = |
40832 | 415 |
(if lazy then mk_fup else I) (big_lambda v t) |
40212 | 416 |
fun lambda_args [] t = mk_one_case t |
35784 | 417 |
| lambda_args (x::[]) t = lambda_arg x t |
40832 | 418 |
| lambda_args (x::xs) t = mk_ssplit (lambda_arg x (lambda_args xs t)) |
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
419 |
fun one_con f (_, args) = |
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
420 |
let |
40832 | 421 |
val Ts = map snd args |
422 |
val ns = Name.variant_list fns (Datatype_Prop.make_tnames Ts) |
|
423 |
val vs = map Free (ns ~~ Ts) |
|
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
424 |
in |
35784 | 425 |
lambda_args (map fst args ~~ vs) (list_ccomb (f, vs)) |
40832 | 426 |
end |
35785 | 427 |
fun mk_sscases [t] = mk_strictify t |
40832 | 428 |
| mk_sscases ts = foldr1 mk_sscase ts |
429 |
val body = mk_sscases (map2 one_con fs spec) |
|
430 |
val rhs = big_lambdas fs (mk_cfcomp (body, rep_const)) |
|
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
431 |
val ((_, case_defs), thy) = |
40832 | 432 |
define_consts [(case_bind, rhs, NoSyn)] thy |
433 |
val case_name = Sign.full_name thy case_bind |
|
35486
c91854705b1d
move definition of case combinator to domain_constructors.ML
huffman
parents:
35485
diff
changeset
|
434 |
in |
40832 | 435 |
val case_def = hd case_defs |
436 |
fun case_const T = Const (case_name, caseT T) |
|
437 |
val case_app = list_ccomb (case_const resultT, fs) |
|
438 |
val thy = thy |
|
439 |
end |
|
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
440 |
|
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
441 |
(* define syntax for case combinator *) |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
442 |
(* TODO: re-implement case syntax using a parse translation *) |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
443 |
local |
42290
b1f544c84040
discontinued special treatment of structure Lexicon;
wenzelm
parents:
42264
diff
changeset
|
444 |
fun syntax c = Lexicon.mark_const (fst (dest_Const c)) |
40832 | 445 |
fun xconst c = Long_Name.base_name (fst (dest_Const c)) |
42224
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
446 |
fun c_ast authentic con = Ast.Constant (if authentic then syntax con else xconst con) |
40832 | 447 |
fun showint n = string_of_int (n+1) |
42224
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
448 |
fun expvar n = Ast.Variable ("e" ^ showint n) |
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
449 |
fun argvar n (m, _) = Ast.Variable ("a" ^ showint n ^ "_" ^ showint m) |
40832 | 450 |
fun argvars n args = map_index (argvar n) args |
42224
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
451 |
fun app s (l, r) = Ast.mk_appl (Ast.Constant s) [l, r] |
40832 | 452 |
val cabs = app "_cabs" |
453 |
val capp = app @{const_syntax Rep_cfun} |
|
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
454 |
val capps = Library.foldl capp |
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
455 |
fun con1 authentic n (con,args) = |
40832 | 456 |
Library.foldl capp (c_ast authentic con, argvars n args) |
35485 | 457 |
fun case1 authentic (n, c) = |
42264 | 458 |
app "_case1" (Ast.strip_positions (con1 authentic n c), expvar n) |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
459 |
fun arg1 (n, (_, args)) = List.foldr cabs (expvar n) (argvars n args) |
42224
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
460 |
fun when1 n (m, c) = if n = m then arg1 (n, c) else Ast.Constant @{const_syntax bottom} |
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
461 |
val case_constant = Ast.Constant (syntax (case_const dummyT)) |
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
462 |
fun case_trans authentic = |
42224
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
463 |
(if authentic then Syntax.Parse_Print_Rule else Syntax.Parse_Rule) |
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
464 |
(app "_case_syntax" |
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
465 |
(Ast.Variable "x", |
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
466 |
foldr1 (app "_case2") (map_index (case1 authentic) spec)), |
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
467 |
capp (capps (case_constant, map_index arg1 spec), Ast.Variable "x")) |
35485 | 468 |
fun one_abscon_trans authentic (n, c) = |
42224
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
469 |
(if authentic then Syntax.Parse_Print_Rule else Syntax.Parse_Rule) |
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
470 |
(cabs (con1 authentic n c, expvar n), |
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
471 |
capps (case_constant, map_index (when1 n) spec)) |
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
472 |
fun abscon_trans authentic = |
40832 | 473 |
map_index (one_abscon_trans authentic) spec |
42224
578a51fae383
discontinued special treatment of structure Ast: no pervasive content, no inclusion in structure Syntax;
wenzelm
parents:
42204
diff
changeset
|
474 |
val trans_rules : Ast.ast Syntax.trrule list = |
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
475 |
case_trans false :: case_trans true :: |
40832 | 476 |
abscon_trans false @ abscon_trans true |
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
477 |
in |
42204 | 478 |
val thy = Sign.add_trrules trans_rules thy |
40832 | 479 |
end |
35472
c23b42730b9b
move case combinator syntax to domain_constructors.ML
huffman
parents:
35470
diff
changeset
|
480 |
|
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
481 |
(* prove beta reduction rule for case combinator *) |
40832 | 482 |
val case_beta = beta_of_def thy case_def |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
483 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
484 |
(* prove strictness of case combinator *) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
485 |
val case_strict = |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
486 |
let |
40832 | 487 |
val defs = case_beta :: map mk_meta_eq [rep_strict, @{thm cfcomp2}] |
488 |
val goal = mk_trp (mk_strict case_app) |
|
489 |
val rules = @{thms sscase1 ssplit1 strictify1 one_case1} |
|
490 |
val tacs = [resolve_tac rules 1] |
|
491 |
in prove thy defs goal (K tacs) end |
|
35459
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 rewrites for case combinator *) |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
494 |
local |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
495 |
fun one_case (con, args) f = |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
496 |
let |
40832 | 497 |
val (vs, nonlazy) = get_vars args |
498 |
val assms = map (mk_trp o mk_defined) nonlazy |
|
499 |
val lhs = case_app ` list_ccomb (con, vs) |
|
500 |
val rhs = list_ccomb (f, vs) |
|
501 |
val concl = mk_trp (mk_eq (lhs, rhs)) |
|
502 |
val goal = Logic.list_implies (assms, concl) |
|
503 |
val defs = case_beta :: con_betas |
|
504 |
val rules1 = @{thms strictify2 sscase2 sscase3 ssplit2 fup2 ID1} |
|
505 |
val rules2 = @{thms con_bottom_iff_rules} |
|
506 |
val rules3 = @{thms cfcomp2 one_case2} |
|
507 |
val rules = abs_inverse :: rules1 @ rules2 @ rules3 |
|
508 |
val tacs = [asm_simp_tac (beta_ss addsimps rules) 1] |
|
509 |
in prove thy defs goal (K tacs) end |
|
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
510 |
in |
40832 | 511 |
val case_apps = map2 one_case spec fs |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
512 |
end |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
513 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
514 |
in |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
515 |
((case_const, case_strict :: case_apps), thy) |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
516 |
end |
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
517 |
|
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
518 |
(******************************************************************************) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
519 |
(************** definitions and theorems for selector functions ***************) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
520 |
(******************************************************************************) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
521 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
522 |
fun add_selectors |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
523 |
(spec : (term * (bool * binding option * typ) list) list) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
524 |
(rep_const : term) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
525 |
(abs_inv : thm) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
526 |
(rep_strict : thm) |
40321
d065b195ec89
rename lemmas *_defined_iff and *_strict_iff to *_bottom_iff
huffman
parents:
40214
diff
changeset
|
527 |
(rep_bottom_iff : thm) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
528 |
(con_betas : thm list) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
529 |
(thy : theory) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
530 |
: thm list * theory = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
531 |
let |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
532 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
533 |
(* define selector functions *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
534 |
val ((sel_consts, sel_defs), thy) = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
535 |
let |
40832 | 536 |
fun rangeT s = snd (dest_cfunT (fastype_of s)) |
537 |
fun mk_outl s = mk_cfcomp (from_sinl (dest_ssumT (rangeT s)), s) |
|
538 |
fun mk_outr s = mk_cfcomp (from_sinr (dest_ssumT (rangeT s)), s) |
|
539 |
fun mk_sfst s = mk_cfcomp (sfst_const (dest_sprodT (rangeT s)), s) |
|
540 |
fun mk_ssnd s = mk_cfcomp (ssnd_const (dest_sprodT (rangeT s)), s) |
|
541 |
fun mk_down s = mk_cfcomp (from_up (dest_upT (rangeT s)), s) |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
542 |
|
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
543 |
fun sels_of_arg _ (_, NONE, _) = [] |
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
544 |
| sels_of_arg s (lazy, SOME b, _) = |
40832 | 545 |
[(b, if lazy then mk_down s else s, NoSyn)] |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
546 |
fun sels_of_args _ [] = [] |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
547 |
| sels_of_args s (v :: []) = sels_of_arg s v |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
548 |
| sels_of_args s (v :: vs) = |
40832 | 549 |
sels_of_arg (mk_sfst s) v @ sels_of_args (mk_ssnd s) vs |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
550 |
fun sels_of_cons _ [] = [] |
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
551 |
| sels_of_cons s ((_, args) :: []) = sels_of_args s args |
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
552 |
| sels_of_cons s ((_, args) :: cs) = |
40832 | 553 |
sels_of_args (mk_outl s) args @ sels_of_cons (mk_outr s) cs |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
554 |
val sel_eqns : (binding * term * mixfix) list = |
40832 | 555 |
sels_of_cons rep_const spec |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
556 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
557 |
define_consts sel_eqns thy |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
558 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
559 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
560 |
(* replace bindings with terms in constructor spec *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
561 |
val spec2 : (term * (bool * term option * typ) list) list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
562 |
let |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
563 |
fun prep_arg (lazy, NONE, T) sels = ((lazy, NONE, T), sels) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
564 |
| prep_arg (lazy, SOME _, T) sels = |
40832 | 565 |
((lazy, SOME (hd sels), T), tl sels) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
566 |
fun prep_con (con, args) sels = |
40832 | 567 |
apfst (pair con) (fold_map prep_arg args sels) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
568 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
569 |
fst (fold_map prep_con spec sel_consts) |
40832 | 570 |
end |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
571 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
572 |
(* prove selector strictness rules *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
573 |
val sel_stricts : thm list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
574 |
let |
40832 | 575 |
val rules = rep_strict :: @{thms sel_strict_rules} |
576 |
val tacs = [simp_tac (HOL_basic_ss addsimps rules) 1] |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
577 |
fun sel_strict sel = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
578 |
let |
40832 | 579 |
val goal = mk_trp (mk_strict sel) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
580 |
in |
35449 | 581 |
prove thy sel_defs goal (K tacs) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
582 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
583 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
584 |
map sel_strict sel_consts |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
585 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
586 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
587 |
(* prove selector application rules *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
588 |
val sel_apps : thm list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
589 |
let |
40832 | 590 |
val defs = con_betas @ sel_defs |
591 |
val rules = abs_inv :: @{thms sel_app_rules} |
|
592 |
val tacs = [asm_simp_tac (simple_ss addsimps rules) 1] |
|
37165 | 593 |
fun sel_apps_of (i, (con, args: (bool * term option * typ) list)) = |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
594 |
let |
40832 | 595 |
val Ts : typ list = map #3 args |
596 |
val ns : string list = Datatype_Prop.make_tnames Ts |
|
597 |
val vs : term list = map Free (ns ~~ Ts) |
|
598 |
val con_app : term = list_ccomb (con, vs) |
|
599 |
val vs' : (bool * term) list = map #1 args ~~ vs |
|
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
600 |
fun one_same (n, sel, _) = |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
601 |
let |
40832 | 602 |
val xs = map snd (filter_out fst (nth_drop n vs')) |
603 |
val assms = map (mk_trp o mk_defined) xs |
|
604 |
val concl = mk_trp (mk_eq (sel ` con_app, nth vs n)) |
|
605 |
val goal = Logic.list_implies (assms, concl) |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
606 |
in |
35449 | 607 |
prove thy defs goal (K tacs) |
40832 | 608 |
end |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
609 |
fun one_diff (_, sel, T) = |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
610 |
let |
40832 | 611 |
val goal = mk_trp (mk_eq (sel ` con_app, mk_bottom T)) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
612 |
in |
35449 | 613 |
prove thy defs goal (K tacs) |
40832 | 614 |
end |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
615 |
fun one_con (j, (_, args')) : thm list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
616 |
let |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
617 |
fun prep (_, (_, NONE, _)) = NONE |
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
618 |
| prep (i, (_, SOME sel, T)) = SOME (i, sel, T) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
619 |
val sels : (int * term * typ) list = |
40832 | 620 |
map_filter prep (map_index I args') |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
621 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
622 |
if i = j |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
623 |
then map one_same sels |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
624 |
else map one_diff sels |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
625 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
626 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
627 |
flat (map_index one_con spec2) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
628 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
629 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
630 |
flat (map_index sel_apps_of spec2) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
631 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
632 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
633 |
(* prove selector definedness rules *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
634 |
val sel_defins : thm list = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
635 |
let |
40832 | 636 |
val rules = rep_bottom_iff :: @{thms sel_bottom_iff_rules} |
637 |
val tacs = [simp_tac (HOL_basic_ss addsimps rules) 1] |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
638 |
fun sel_defin sel = |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
639 |
let |
40832 | 640 |
val (T, U) = dest_cfunT (fastype_of sel) |
641 |
val x = Free ("x", T) |
|
642 |
val lhs = mk_eq (sel ` x, mk_bottom U) |
|
643 |
val rhs = mk_eq (x, mk_bottom T) |
|
644 |
val goal = mk_trp (mk_eq (lhs, rhs)) |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
645 |
in |
35449 | 646 |
prove thy sel_defs goal (K tacs) |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
647 |
end |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
648 |
fun one_arg (false, SOME sel, _) = SOME (sel_defin sel) |
40832 | 649 |
| one_arg _ = NONE |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
650 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
651 |
case spec2 of |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
652 |
[(_, args)] => map_filter one_arg args |
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
653 |
| _ => [] |
40832 | 654 |
end |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
655 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
656 |
in |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
657 |
(sel_stricts @ sel_defins @ sel_apps, thy) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
658 |
end |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
659 |
|
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
660 |
(******************************************************************************) |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
661 |
(************ definitions and theorems for discriminator functions ************) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
662 |
(******************************************************************************) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
663 |
|
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
664 |
fun add_discriminators |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
665 |
(bindings : binding list) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
666 |
(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
|
667 |
(lhsT : typ) |
35781
b7738ab762b1
renamed some lemmas generated by the domain package
huffman
parents:
35777
diff
changeset
|
668 |
(exhaust : thm) |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
669 |
(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
|
670 |
(case_rews : thm list) |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
671 |
(thy : theory) = |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
672 |
let |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
673 |
|
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
674 |
(* define discriminator functions *) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
675 |
local |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
676 |
fun dis_fun i (j, (_, args)) = |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
677 |
let |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
678 |
val (vs, _) = get_vars args |
40832 | 679 |
val tr = if i = j then @{term TT} else @{term FF} |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
680 |
in |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
681 |
big_lambdas vs tr |
40832 | 682 |
end |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
683 |
fun dis_eqn (i, bind) : binding * term * mixfix = |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
684 |
let |
40832 | 685 |
val dis_bind = Binding.prefix_name "is_" bind |
686 |
val rhs = list_ccomb (case_const trT, map_index (dis_fun i) spec) |
|
35460
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 |
(dis_bind, rhs, NoSyn) |
40832 | 689 |
end |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
690 |
in |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
691 |
val ((dis_consts, dis_defs), thy) = |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
692 |
define_consts (map_index dis_eqn bindings) thy |
40832 | 693 |
end |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
694 |
|
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
695 |
(* 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
|
696 |
local |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
697 |
fun dis_strict dis = |
40832 | 698 |
let val goal = mk_trp (mk_strict dis) |
699 |
in prove thy dis_defs goal (K [rtac (hd case_rews) 1]) end |
|
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
700 |
in |
40832 | 701 |
val dis_stricts = map dis_strict dis_consts |
702 |
end |
|
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
703 |
|
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
704 |
(* 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
|
705 |
local |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
706 |
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
|
707 |
let |
40832 | 708 |
val (vs, nonlazy) = get_vars args |
709 |
val lhs = dis ` list_ccomb (con, vs) |
|
710 |
val rhs = if i = j then @{term TT} else @{term FF} |
|
711 |
val assms = map (mk_trp o mk_defined) nonlazy |
|
712 |
val concl = mk_trp (mk_eq (lhs, rhs)) |
|
713 |
val goal = Logic.list_implies (assms, concl) |
|
714 |
val tacs = [asm_simp_tac (beta_ss addsimps case_rews) 1] |
|
715 |
in prove thy dis_defs goal (K tacs) end |
|
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
716 |
fun one_dis (i, dis) = |
40832 | 717 |
map_index (dis_app (i, dis)) spec |
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
718 |
in |
40832 | 719 |
val dis_apps = flat (map_index one_dis dis_consts) |
720 |
end |
|
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
721 |
|
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
722 |
(* 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
|
723 |
local |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
724 |
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
|
725 |
let |
40832 | 726 |
val x = Free ("x", lhsT) |
727 |
val simps = dis_apps @ @{thms dist_eq_tr} |
|
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
728 |
val tacs = |
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
729 |
[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
|
730 |
asm_simp_tac (HOL_basic_ss addsimps dis_stricts) 2, |
35781
b7738ab762b1
renamed some lemmas generated by the domain package
huffman
parents:
35777
diff
changeset
|
731 |
rtac exhaust 1, atac 1, |
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
732 |
DETERM_UNTIL_SOLVED (CHANGED |
40832 | 733 |
(asm_full_simp_tac (simple_ss addsimps simps) 1))] |
734 |
val goal = mk_trp (mk_eq (mk_undef (dis ` x), mk_undef x)) |
|
735 |
in prove thy [] goal (K tacs) end |
|
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
736 |
in |
40832 | 737 |
val dis_defins = map dis_defin dis_consts |
738 |
end |
|
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
739 |
|
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
740 |
in |
35461
34360a1e3537
move proofs of dis_rews to domain_constructors.ML; change dis_defins to iff-style
huffman
parents:
35460
diff
changeset
|
741 |
(dis_stricts @ dis_defins @ dis_apps, thy) |
40832 | 742 |
end |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
743 |
|
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
744 |
(******************************************************************************) |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
745 |
(*************** definitions and theorems for match combinators ***************) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
746 |
(******************************************************************************) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
747 |
|
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
748 |
fun add_match_combinators |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
749 |
(bindings : binding list) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
750 |
(spec : (term * (bool * typ) list) list) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
751 |
(lhsT : typ) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
752 |
(case_const : typ -> term) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
753 |
(case_rews : thm list) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
754 |
(thy : theory) = |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
755 |
let |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
756 |
|
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
757 |
(* get a fresh type variable for the result type *) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
758 |
val resultT : typ = |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
759 |
let |
40832 | 760 |
val ts : string list = map fst (Term.add_tfreesT lhsT []) |
43324
2b47822868e4
discontinued Name.variant to emphasize that this is old-style / indirect;
wenzelm
parents:
42290
diff
changeset
|
761 |
val t : string = singleton (Name.variant_list ts) "'t" |
40832 | 762 |
in TFree (t, @{sort pcpo}) end |
35462
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 |
(* define match combinators *) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
765 |
local |
40832 | 766 |
val x = Free ("x", lhsT) |
767 |
fun k args = Free ("k", map snd args -->> mk_matchT resultT) |
|
768 |
val fail = mk_fail resultT |
|
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
769 |
fun mat_fun i (j, (_, args)) = |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
770 |
let |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
771 |
val (vs, _) = get_vars_avoiding ["x","k"] args |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
772 |
in |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
773 |
if i = j then k args else big_lambdas vs fail |
40832 | 774 |
end |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
775 |
fun mat_eqn (i, (bind, (_, args))) : binding * term * mixfix = |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
776 |
let |
40832 | 777 |
val mat_bind = Binding.prefix_name "match_" bind |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
778 |
val funs = map_index (mat_fun i) spec |
40832 | 779 |
val body = list_ccomb (case_const (mk_matchT resultT), funs) |
780 |
val rhs = big_lambda x (big_lambda (k args) (body ` x)) |
|
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
781 |
in |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
782 |
(mat_bind, rhs, NoSyn) |
40832 | 783 |
end |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
784 |
in |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
785 |
val ((match_consts, match_defs), thy) = |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
786 |
define_consts (map_index mat_eqn (bindings ~~ spec)) thy |
40832 | 787 |
end |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
788 |
|
35463
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
789 |
(* register match combinators with fixrec package *) |
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
790 |
local |
40832 | 791 |
val con_names = map (fst o dest_Const o fst) spec |
792 |
val mat_names = map (fst o dest_Const) match_consts |
|
35463
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
793 |
in |
40832 | 794 |
val thy = Fixrec.add_matchers (con_names ~~ mat_names) thy |
795 |
end |
|
35463
b20501588930
register match functions from domain_constructors.ML
huffman
parents:
35462
diff
changeset
|
796 |
|
35466
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
797 |
(* prove strictness of match combinators *) |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
798 |
local |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
799 |
fun match_strict mat = |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
800 |
let |
40832 | 801 |
val (T, (U, V)) = apsnd dest_cfunT (dest_cfunT (fastype_of mat)) |
802 |
val k = Free ("k", U) |
|
803 |
val goal = mk_trp (mk_eq (mat ` mk_bottom T ` k, mk_bottom V)) |
|
804 |
val tacs = [asm_simp_tac (beta_ss addsimps case_rews) 1] |
|
805 |
in prove thy match_defs goal (K tacs) end |
|
35466
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
806 |
in |
40832 | 807 |
val match_stricts = map match_strict match_consts |
808 |
end |
|
35466
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
809 |
|
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
810 |
(* prove match/constructor rules *) |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
811 |
local |
40832 | 812 |
val fail = mk_fail resultT |
35466
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
813 |
fun match_app (i, mat) (j, (con, args)) = |
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
814 |
let |
40832 | 815 |
val (vs, nonlazy) = get_vars_avoiding ["k"] args |
816 |
val (_, (kT, _)) = apsnd dest_cfunT (dest_cfunT (fastype_of mat)) |
|
817 |
val k = Free ("k", kT) |
|
818 |
val lhs = mat ` list_ccomb (con, vs) ` k |
|
819 |
val rhs = if i = j then list_ccomb (k, vs) else fail |
|
820 |
val assms = map (mk_trp o mk_defined) nonlazy |
|
821 |
val concl = mk_trp (mk_eq (lhs, rhs)) |
|
822 |
val goal = Logic.list_implies (assms, concl) |
|
823 |
val tacs = [asm_simp_tac (beta_ss addsimps case_rews) 1] |
|
824 |
in prove thy match_defs goal (K tacs) end |
|
35466
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
825 |
fun one_match (i, mat) = |
40832 | 826 |
map_index (match_app (i, mat)) spec |
35466
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
827 |
in |
40832 | 828 |
val match_apps = flat (map_index one_match match_consts) |
829 |
end |
|
35466
9fcfd5763181
move proofs of match_rews to domain_constructors.ML
huffman
parents:
35463
diff
changeset
|
830 |
|
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
831 |
in |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
832 |
(match_stricts @ match_apps, thy) |
40832 | 833 |
end |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
834 |
|
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
835 |
(******************************************************************************) |
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
836 |
(******************************* main function ********************************) |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
837 |
(******************************************************************************) |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
838 |
|
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
839 |
fun add_domain_constructors |
35777
bcc77916b7b9
pass binding as argument to add_domain_constructors; proper binding for case combinator
huffman
parents:
35561
diff
changeset
|
840 |
(dbind : binding) |
35481
7bb9157507a9
add_domain_constructors takes iso_info record as argument
huffman
parents:
35476
diff
changeset
|
841 |
(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
|
842 |
(iso_info : Domain_Take_Proofs.iso_info) |
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
843 |
(thy : theory) = |
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
844 |
let |
40832 | 845 |
val dname = Binding.name_of dbind |
846 |
val _ = writeln ("Proving isomorphism properties of domain "^dname^" ...") |
|
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
847 |
|
40832 | 848 |
val bindings = map #1 spec |
40019
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
849 |
|
35481
7bb9157507a9
add_domain_constructors takes iso_info record as argument
huffman
parents:
35476
diff
changeset
|
850 |
(* retrieve facts about rep/abs *) |
40832 | 851 |
val lhsT = #absT iso_info |
852 |
val {rep_const, abs_const, ...} = iso_info |
|
853 |
val abs_iso_thm = #abs_inverse iso_info |
|
854 |
val rep_iso_thm = #rep_inverse iso_info |
|
855 |
val iso_locale = @{thm iso.intro} OF [abs_iso_thm, rep_iso_thm] |
|
856 |
val rep_strict = iso_locale RS @{thm iso.rep_strict} |
|
857 |
val abs_strict = iso_locale RS @{thm iso.abs_strict} |
|
858 |
val rep_bottom_iff = iso_locale RS @{thm iso.rep_bottom_iff} |
|
859 |
val iso_rews = [abs_iso_thm, rep_iso_thm, abs_strict, rep_strict] |
|
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
860 |
|
35487 | 861 |
(* qualify constants and theorems with domain name *) |
40832 | 862 |
val thy = Sign.add_path dname thy |
35487 | 863 |
|
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
864 |
(* define constructor functions *) |
35457
d63655b88369
move proofs of casedist into domain_constructors.ML
huffman
parents:
35456
diff
changeset
|
865 |
val (con_result, thy) = |
35454
cf6ba350b7ca
remove unnecessary stuff from argument to add_constructors function
huffman
parents:
35453
diff
changeset
|
866 |
let |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
867 |
fun prep_arg (lazy, _, T) = (lazy, T) |
40832 | 868 |
fun prep_con (b, args, mx) = (b, map prep_arg args, mx) |
869 |
val con_spec = map prep_con spec |
|
35454
cf6ba350b7ca
remove unnecessary stuff from argument to add_constructors function
huffman
parents:
35453
diff
changeset
|
870 |
in |
cf6ba350b7ca
remove unnecessary stuff from argument to add_constructors function
huffman
parents:
35453
diff
changeset
|
871 |
add_constructors con_spec abs_const iso_locale thy |
40832 | 872 |
end |
40016
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
873 |
val {con_consts, con_betas, nchotomy, exhaust, compacts, con_rews, |
40832 | 874 |
inverts, injects, dist_les, dist_eqs} = con_result |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
875 |
|
40019
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
876 |
(* prepare constructor spec *) |
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
877 |
val con_specs : (term * (bool * typ) list) list = |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
878 |
let |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
879 |
fun prep_arg (lazy, _, T) = (lazy, T) |
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
880 |
fun prep_con c (_, args, _) = (c, map prep_arg args) |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
881 |
in |
40019
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
882 |
map2 prep_con con_consts spec |
40832 | 883 |
end |
40019
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
884 |
|
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
885 |
(* define case combinator *) |
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
886 |
val ((case_const : typ -> term, cases : thm list), thy) = |
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
887 |
add_case_combinator con_specs lhsT dbind |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
888 |
con_betas iso_locale rep_const thy |
35450
e9ef2b50ac59
move constructor-specific stuff to a separate function
huffman
parents:
35449
diff
changeset
|
889 |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
890 |
(* define and prove theorems for selector functions *) |
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
891 |
val (sel_thms : thm list, thy : theory) = |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
892 |
let |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
893 |
val sel_spec : (term * (bool * binding option * typ) list) list = |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
894 |
map2 (fn con => fn (_, args, _) => (con, args)) con_consts spec |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
895 |
in |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
896 |
add_selectors sel_spec rep_const |
40321
d065b195ec89
rename lemmas *_defined_iff and *_strict_iff to *_bottom_iff
huffman
parents:
40214
diff
changeset
|
897 |
abs_iso_thm rep_strict rep_bottom_iff con_betas thy |
40832 | 898 |
end |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
899 |
|
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
900 |
(* define and prove theorems for discriminator functions *) |
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
901 |
val (dis_thms : thm list, thy : theory) = |
40019
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
902 |
add_discriminators bindings con_specs lhsT |
40832 | 903 |
exhaust case_const cases thy |
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
904 |
|
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
905 |
(* define and prove theorems for match combinators *) |
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
906 |
val (match_thms : thm list, thy : theory) = |
40019
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
907 |
add_match_combinators bindings con_specs lhsT |
44080
53d95b52954c
HOLCF: fix warnings about unreferenced identifiers
huffman
parents:
43324
diff
changeset
|
908 |
case_const cases thy |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
909 |
|
35446
b719dad322fa
rewrite domain package code for selector functions
huffman
parents:
35445
diff
changeset
|
910 |
(* restore original signature path *) |
40832 | 911 |
val thy = Sign.parent_path thy |
35444 | 912 |
|
40016
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
913 |
(* bind theorem names in global theory *) |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
914 |
val (_, thy) = |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
915 |
let |
40832 | 916 |
fun qualified name = Binding.qualified true name dbind |
917 |
val names = "bottom" :: map (fn (b,_,_) => Binding.name_of b) spec |
|
918 |
val dname = fst (dest_Type lhsT) |
|
919 |
val simp = Simplifier.simp_add |
|
920 |
val case_names = Rule_Cases.case_names names |
|
921 |
val cases_type = Induct.cases_type dname |
|
40016
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
922 |
in |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
923 |
Global_Theory.add_thmss [ |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
924 |
((qualified "iso_rews" , iso_rews ), [simp]), |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
925 |
((qualified "nchotomy" , [nchotomy] ), []), |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
926 |
((qualified "exhaust" , [exhaust] ), [case_names, cases_type]), |
40213
b63e966564da
rename case combinators generated by domain package to 'foo_case' instead of 'foo_when'
huffman
parents:
40212
diff
changeset
|
927 |
((qualified "case_rews" , cases ), [simp]), |
40016
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
928 |
((qualified "compacts" , compacts ), [simp]), |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
929 |
((qualified "con_rews" , con_rews ), [simp]), |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
930 |
((qualified "sel_rews" , sel_thms ), [simp]), |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
931 |
((qualified "dis_rews" , dis_thms ), [simp]), |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
932 |
((qualified "dist_les" , dist_les ), [simp]), |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
933 |
((qualified "dist_eqs" , dist_eqs ), [simp]), |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
934 |
((qualified "inverts" , inverts ), [simp]), |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
935 |
((qualified "injects" , injects ), [simp]), |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
936 |
((qualified "match_rews", match_thms ), [simp])] thy |
40832 | 937 |
end |
40016
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
938 |
|
35444 | 939 |
val result = |
40017 | 940 |
{ |
941 |
iso_info = iso_info, |
|
40019
05cda34d36e7
put constructor argument specs in constr_info type
huffman
parents:
40017
diff
changeset
|
942 |
con_specs = con_specs, |
35451 | 943 |
con_betas = con_betas, |
40016
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
944 |
nchotomy = nchotomy, |
35781
b7738ab762b1
renamed some lemmas generated by the domain package
huffman
parents:
35777
diff
changeset
|
945 |
exhaust = exhaust, |
40016
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
946 |
compacts = compacts, |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
947 |
con_rews = con_rews, |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
948 |
inverts = inverts, |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
949 |
injects = injects, |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
950 |
dist_les = dist_les, |
2eff1cbc1ccb
remove function Domain_Theorems.theorems; bind theorem names directly from Domain_Constructors.add_domain_constructors
huffman
parents:
40014
diff
changeset
|
951 |
dist_eqs = dist_eqs, |
35459
3d8acfae6fb8
move proofs of when_rews intro domain_constructors.ML
huffman
parents:
35458
diff
changeset
|
952 |
cases = cases, |
35460
8cb42aa19358
move definition of discriminators to domain_constructors.ML
huffman
parents:
35459
diff
changeset
|
953 |
sel_rews = sel_thms, |
35462
f5461b02d754
move definition of match combinators to domain_constructors.ML
huffman
parents:
35461
diff
changeset
|
954 |
dis_rews = dis_thms, |
40017 | 955 |
match_rews = match_thms |
40832 | 956 |
} |
35444 | 957 |
in |
958 |
(result, thy) |
|
40832 | 959 |
end |
35444 | 960 |
|
40832 | 961 |
end |