author | huffman |
Sat, 27 Nov 2010 16:08:10 -0800 | |
changeset 40774 | 0437dbc127b3 |
parent 40771 | src/HOLCF/Tools/Domain/domain_isomorphism.ML@1c6f7d4b110e |
child 40832 | 4352ca878c41 |
permissions | -rw-r--r-- |
37744 | 1 |
(* Title: HOLCF/Tools/Domain/domain_isomorphism.ML |
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Author: Brian Huffman |
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Defines new types satisfying the given domain equations. |
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*) |
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signature DOMAIN_ISOMORPHISM = |
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sig |
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val domain_isomorphism : |
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(string list * binding * mixfix * typ |
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* (binding * binding) option) list -> |
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theory -> |
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(Domain_Take_Proofs.iso_info list |
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* Domain_Take_Proofs.take_induct_info) * theory |
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val define_map_functions : |
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(binding * Domain_Take_Proofs.iso_info) list -> |
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theory -> |
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{ |
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map_consts : term list, |
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map_apply_thms : thm list, |
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map_unfold_thms : thm list, |
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deflation_map_thms : thm list |
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} |
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* theory |
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val domain_isomorphism_cmd : |
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(string list * binding * mixfix * string * (binding * binding) option) list |
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-> theory -> theory |
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val setup : theory -> theory |
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end; |
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structure Domain_Isomorphism : DOMAIN_ISOMORPHISM = |
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struct |
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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 cont2cont_prod_case'}; |
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val beta_ss = HOL_basic_ss addsimps (simp_thms @ beta_rules); |
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val beta_tac = simp_tac beta_ss; |
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fun is_cpo thy T = Sign.of_sort thy (T, @{sort cpo}); |
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(******************************************************************************) |
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(******************************** theory data *********************************) |
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(******************************************************************************) |
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structure RepData = Named_Thms |
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( |
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val name = "domain_defl_simps" |
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val description = "theorems like DEFL('a t) = t_defl$DEFL('a)" |
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) |
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structure IsodeflData = Named_Thms |
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( |
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val name = "domain_isodefl" |
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val description = "theorems like isodefl d t ==> isodefl (foo_map$d) (foo_defl$t)" |
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); |
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val setup = RepData.setup #> IsodeflData.setup |
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(******************************************************************************) |
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(************************** building types and terms **************************) |
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(******************************************************************************) |
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open HOLCF_Library; |
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infixr 6 ->>; |
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infixr -->>; |
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val udomT = @{typ udom}; |
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val deflT = @{typ "defl"}; |
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fun mk_DEFL T = |
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Const (@{const_name defl}, Term.itselfT T --> deflT) $ Logic.mk_type T; |
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fun dest_DEFL (Const (@{const_name defl}, _) $ t) = Logic.dest_type t |
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| dest_DEFL t = raise TERM ("dest_DEFL", [t]); |
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fun mk_LIFTDEFL T = |
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Const (@{const_name liftdefl}, Term.itselfT T --> deflT) $ Logic.mk_type T; |
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fun dest_LIFTDEFL (Const (@{const_name liftdefl}, _) $ t) = Logic.dest_type t |
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| dest_LIFTDEFL t = raise TERM ("dest_LIFTDEFL", [t]); |
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fun mk_u_defl t = mk_capply (@{const "u_defl"}, t); |
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fun mk_u_map t = |
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let |
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val (T, U) = dest_cfunT (fastype_of t); |
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val u_map_type = (T ->> U) ->> (mk_upT T ->> mk_upT U); |
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val u_map_const = Const (@{const_name u_map}, u_map_type); |
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in |
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mk_capply (u_map_const, t) |
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end; |
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fun emb_const T = Const (@{const_name emb}, T ->> udomT); |
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fun prj_const T = Const (@{const_name prj}, udomT ->> T); |
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fun coerce_const (T, U) = mk_cfcomp (prj_const U, emb_const T); |
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fun isodefl_const T = |
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Const (@{const_name isodefl}, (T ->> T) --> deflT --> HOLogic.boolT); |
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fun mk_deflation t = |
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Const (@{const_name deflation}, Term.fastype_of t --> boolT) $ t; |
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(* splits a cterm into the right and lefthand sides of equality *) |
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fun dest_eqs t = HOLogic.dest_eq (HOLogic.dest_Trueprop t); |
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fun mk_eqs (t, u) = HOLogic.mk_Trueprop (HOLogic.mk_eq (t, u)); |
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(******************************************************************************) |
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(****************************** isomorphism info ******************************) |
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(******************************************************************************) |
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fun deflation_abs_rep (info : Domain_Take_Proofs.iso_info) : thm = |
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let |
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val abs_iso = #abs_inverse info; |
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val rep_iso = #rep_inverse info; |
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val thm = @{thm deflation_abs_rep} OF [abs_iso, rep_iso]; |
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in |
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Drule.zero_var_indexes thm |
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end |
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(******************************************************************************) |
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(*************** fixed-point definitions and unfolding theorems ***************) |
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(******************************************************************************) |
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fun mk_projs [] t = [] |
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| mk_projs (x::[]) t = [(x, t)] |
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| mk_projs (x::xs) t = (x, mk_fst t) :: mk_projs xs (mk_snd t); |
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fun add_fixdefs |
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(spec : (binding * term) list) |
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(thy : theory) : (thm list * thm list) * theory = |
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let |
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val binds = map fst spec; |
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val (lhss, rhss) = ListPair.unzip (map (dest_eqs o snd) spec); |
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val functional = lambda_tuple lhss (mk_tuple rhss); |
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val fixpoint = mk_fix (mk_cabs functional); |
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(* project components of fixpoint *) |
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val projs = mk_projs lhss fixpoint; |
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(* convert parameters to lambda abstractions *) |
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fun mk_eqn (lhs, rhs) = |
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case lhs of |
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Const (@{const_name Rep_cfun}, _) $ f $ (x as Free _) => |
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mk_eqn (f, big_lambda x rhs) |
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| f $ Const (@{const_name TYPE}, T) => |
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mk_eqn (f, Abs ("t", T, rhs)) |
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156 |
| Const _ => Logic.mk_equals (lhs, rhs) |
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157 |
| _ => raise TERM ("lhs not of correct form", [lhs, rhs]); |
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val eqns = map mk_eqn projs; |
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159 |
|
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160 |
(* register constant definitions *) |
33777 | 161 |
val (fixdef_thms, thy) = |
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(Global_Theory.add_defs false o map Thm.no_attributes) |
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163 |
(map (Binding.suffix_name "_def") binds ~~ eqns) thy; |
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164 |
|
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165 |
(* prove applied version of definitions *) |
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166 |
fun prove_proj (lhs, rhs) = |
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167 |
let |
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val tac = rewrite_goals_tac fixdef_thms THEN beta_tac 1; |
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val goal = Logic.mk_equals (lhs, rhs); |
33777 | 170 |
in Goal.prove_global thy [] [] goal (K tac) end; |
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val proj_thms = map prove_proj projs; |
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172 |
|
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173 |
(* mk_tuple lhss == fixpoint *) |
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174 |
fun pair_equalI (thm1, thm2) = @{thm Pair_equalI} OF [thm1, thm2]; |
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val tuple_fixdef_thm = foldr1 pair_equalI proj_thms; |
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176 |
|
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177 |
val cont_thm = |
33777 | 178 |
Goal.prove_global thy [] [] (mk_trp (mk_cont functional)) |
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179 |
(K (beta_tac 1)); |
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180 |
val tuple_unfold_thm = |
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181 |
(@{thm def_cont_fix_eq} OF [tuple_fixdef_thm, cont_thm]) |
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|> Local_Defs.unfold (ProofContext.init_global thy) @{thms split_conv}; |
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183 |
|
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184 |
fun mk_unfold_thms [] thm = [] |
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185 |
| mk_unfold_thms (n::[]) thm = [(n, thm)] |
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186 |
| mk_unfold_thms (n::ns) thm = let |
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187 |
val thmL = thm RS @{thm Pair_eqD1}; |
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val thmR = thm RS @{thm Pair_eqD2}; |
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189 |
in (n, thmL) :: mk_unfold_thms ns thmR end; |
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190 |
val unfold_binds = map (Binding.suffix_name "_unfold") binds; |
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191 |
|
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192 |
(* register unfold theorems *) |
33777 | 193 |
val (unfold_thms, thy) = |
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194 |
(Global_Theory.add_thms o map (Thm.no_attributes o apsnd Drule.zero_var_indexes)) |
33777 | 195 |
(mk_unfold_thms unfold_binds tuple_unfold_thm) thy; |
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196 |
in |
33788 | 197 |
((proj_thms, unfold_thms), thy) |
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198 |
end; |
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199 |
|
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200 |
|
33774 | 201 |
(******************************************************************************) |
33790 | 202 |
(****************** deflation combinators and map functions *******************) |
203 |
(******************************************************************************) |
|
33774 | 204 |
|
205 |
fun defl_of_typ |
|
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(thy : theory) |
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207 |
(tab1 : (typ * term) list) |
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(tab2 : (typ * term) list) |
33774 | 209 |
(T : typ) : term = |
210 |
let |
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211 |
val defl_simps = RepData.get (ProofContext.init_global thy); |
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212 |
val rules = map (Thm.concl_of #> HOLogic.dest_Trueprop #> HOLogic.dest_eq) defl_simps; |
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val rules' = map (apfst mk_DEFL) tab1 @ map (apfst mk_LIFTDEFL) tab2; |
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214 |
fun proc1 t = |
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215 |
(case dest_DEFL t of |
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216 |
TFree (a, _) => SOME (Free ("d" ^ Library.unprefix "'" a, deflT)) |
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217 |
| _ => NONE) handle TERM _ => NONE; |
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218 |
fun proc2 t = |
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(case dest_LIFTDEFL t of |
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220 |
TFree (a, _) => SOME (Free ("p" ^ Library.unprefix "'" a, deflT)) |
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221 |
| _ => NONE) handle TERM _ => NONE; |
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222 |
in |
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223 |
Pattern.rewrite_term thy (rules @ rules') [proc1, proc2] (mk_DEFL T) |
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224 |
end; |
33774 | 225 |
|
226 |
(******************************************************************************) |
|
35477 | 227 |
(********************* declaring definitions and theorems *********************) |
228 |
(******************************************************************************) |
|
229 |
||
230 |
fun define_const |
|
231 |
(bind : binding, rhs : term) |
|
232 |
(thy : theory) |
|
233 |
: (term * thm) * theory = |
|
234 |
let |
|
235 |
val typ = Term.fastype_of rhs; |
|
236 |
val (const, thy) = Sign.declare_const ((bind, typ), NoSyn) thy; |
|
237 |
val eqn = Logic.mk_equals (const, rhs); |
|
238 |
val def = Thm.no_attributes (Binding.suffix_name "_def" bind, eqn); |
|
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239 |
val (def_thm, thy) = yield_singleton (Global_Theory.add_defs false) def thy; |
35477 | 240 |
in |
241 |
((const, def_thm), thy) |
|
242 |
end; |
|
243 |
||
35773 | 244 |
fun add_qualified_thm name (dbind, thm) = |
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245 |
yield_singleton Global_Theory.add_thms |
35773 | 246 |
((Binding.qualified true name dbind, thm), []); |
35489 | 247 |
|
248 |
(******************************************************************************) |
|
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249 |
(*************************** defining map functions ***************************) |
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250 |
(******************************************************************************) |
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251 |
|
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252 |
fun define_map_functions |
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253 |
(spec : (binding * Domain_Take_Proofs.iso_info) list) |
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254 |
(thy : theory) = |
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255 |
let |
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|
256 |
|
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257 |
(* retrieve components of spec *) |
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258 |
val dbinds = map fst spec; |
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259 |
val iso_infos = map snd spec; |
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|
260 |
val dom_eqns = map (fn x => (#absT x, #repT x)) iso_infos; |
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261 |
val rep_abs_consts = map (fn x => (#rep_const x, #abs_const x)) iso_infos; |
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262 |
|
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|
263 |
fun mapT (T as Type (_, Ts)) = |
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264 |
(map (fn T => T ->> T) (filter (is_cpo thy) Ts)) -->> (T ->> T) |
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|
265 |
| mapT T = T ->> T; |
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266 |
|
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267 |
(* declare map functions *) |
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268 |
fun declare_map_const (tbind, (lhsT, rhsT)) thy = |
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269 |
let |
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|
270 |
val map_type = mapT lhsT; |
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271 |
val map_bind = Binding.suffix_name "_map" tbind; |
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272 |
in |
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|
273 |
Sign.declare_const ((map_bind, map_type), NoSyn) thy |
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|
274 |
end; |
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275 |
val (map_consts, thy) = thy |> |
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|
276 |
fold_map declare_map_const (dbinds ~~ dom_eqns); |
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|
277 |
|
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|
278 |
(* defining equations for map functions *) |
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279 |
local |
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|
280 |
fun unprime a = Library.unprefix "'" a; |
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|
281 |
fun mapvar T = Free (unprime (fst (dest_TFree T)), T ->> T); |
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|
282 |
fun map_lhs (map_const, lhsT) = |
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283 |
(lhsT, list_ccomb (map_const, map mapvar (filter (is_cpo thy) (snd (dest_Type lhsT))))); |
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|
284 |
val tab1 = map map_lhs (map_consts ~~ map fst dom_eqns); |
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|
285 |
val Ts = (snd o dest_Type o fst o hd) dom_eqns; |
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|
286 |
val tab = (Ts ~~ map mapvar Ts) @ tab1; |
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|
287 |
fun mk_map_spec (((rep_const, abs_const), map_const), (lhsT, rhsT)) = |
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288 |
let |
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|
289 |
val lhs = Domain_Take_Proofs.map_of_typ thy tab lhsT; |
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|
290 |
val body = Domain_Take_Proofs.map_of_typ thy tab rhsT; |
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|
291 |
val rhs = mk_cfcomp (abs_const, mk_cfcomp (body, rep_const)); |
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|
292 |
in mk_eqs (lhs, rhs) end; |
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|
293 |
in |
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|
294 |
val map_specs = |
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|
295 |
map mk_map_spec (rep_abs_consts ~~ map_consts ~~ dom_eqns); |
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|
296 |
end; |
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|
297 |
|
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|
298 |
(* register recursive definition of map functions *) |
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299 |
val map_binds = map (Binding.suffix_name "_map") dbinds; |
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300 |
val ((map_apply_thms, map_unfold_thms), thy) = |
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|
301 |
add_fixdefs (map_binds ~~ map_specs) thy; |
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|
302 |
|
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|
303 |
(* prove deflation theorems for map functions *) |
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|
304 |
val deflation_abs_rep_thms = map deflation_abs_rep iso_infos; |
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|
305 |
val deflation_map_thm = |
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|
306 |
let |
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|
307 |
fun unprime a = Library.unprefix "'" a; |
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|
308 |
fun mk_f T = Free (unprime (fst (dest_TFree T)), T ->> T); |
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|
309 |
fun mk_assm T = mk_trp (mk_deflation (mk_f T)); |
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|
310 |
fun mk_goal (map_const, (lhsT, rhsT)) = |
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|
311 |
let |
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|
312 |
val (_, Ts) = dest_Type lhsT; |
40218
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|
313 |
val map_term = list_ccomb (map_const, map mk_f (filter (is_cpo thy) Ts)); |
35791
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|
314 |
in mk_deflation map_term end; |
40218
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|
315 |
val assms = (map mk_assm o filter (is_cpo thy) o snd o dest_Type o fst o hd) dom_eqns; |
35791
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|
316 |
val goals = map mk_goal (map_consts ~~ dom_eqns); |
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|
317 |
val goal = mk_trp (foldr1 HOLogic.mk_conj goals); |
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|
318 |
val start_thms = |
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|
319 |
@{thm split_def} :: map_apply_thms; |
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|
320 |
val adm_rules = |
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|
321 |
@{thms adm_conj adm_subst [OF _ adm_deflation] |
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|
322 |
cont2cont_fst cont2cont_snd cont_id}; |
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|
323 |
val bottom_rules = |
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|
324 |
@{thms fst_strict snd_strict deflation_UU simp_thms}; |
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|
325 |
val deflation_rules = |
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|
326 |
@{thms conjI deflation_ID} |
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|
327 |
@ deflation_abs_rep_thms |
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|
328 |
@ Domain_Take_Proofs.get_deflation_thms thy; |
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|
329 |
in |
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|
330 |
Goal.prove_global thy [] assms goal (fn {prems, ...} => |
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|
331 |
EVERY |
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|
332 |
[simp_tac (HOL_basic_ss addsimps start_thms) 1, |
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|
333 |
rtac @{thm fix_ind} 1, |
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|
334 |
REPEAT (resolve_tac adm_rules 1), |
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|
335 |
simp_tac (HOL_basic_ss addsimps bottom_rules) 1, |
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|
336 |
simp_tac beta_ss 1, |
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changeset
|
337 |
simp_tac (HOL_basic_ss addsimps @{thms fst_conv snd_conv}) 1, |
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|
338 |
REPEAT (etac @{thm conjE} 1), |
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|
339 |
REPEAT (resolve_tac (deflation_rules @ prems) 1 ORELSE atac 1)]) |
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|
340 |
end; |
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|
341 |
fun conjuncts [] thm = [] |
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|
342 |
| conjuncts (n::[]) thm = [(n, thm)] |
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|
343 |
| conjuncts (n::ns) thm = let |
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|
344 |
val thmL = thm RS @{thm conjunct1}; |
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|
345 |
val thmR = thm RS @{thm conjunct2}; |
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|
346 |
in (n, thmL):: conjuncts ns thmR end; |
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|
347 |
val deflation_map_binds = dbinds |> |
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|
348 |
map (Binding.prefix_name "deflation_" o Binding.suffix_name "_map"); |
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|
349 |
val (deflation_map_thms, thy) = thy |> |
39557
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renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
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|
350 |
(Global_Theory.add_thms o map (Thm.no_attributes o apsnd Drule.zero_var_indexes)) |
35791
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|
351 |
(conjuncts deflation_map_binds deflation_map_thm); |
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|
352 |
|
40737
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|
353 |
(* register indirect recursion in theory data *) |
35791
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|
354 |
local |
40737
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|
355 |
fun register_map (dname, args) = |
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|
356 |
Domain_Take_Proofs.add_rec_type (dname, args); |
35791
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|
357 |
val dnames = map (fst o dest_Type o fst) dom_eqns; |
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|
358 |
val map_names = map (fst o dest_Const) map_consts; |
40218
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|
359 |
fun args (T, _) = case T of Type (_, Ts) => map (is_cpo thy) Ts | _ => []; |
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|
360 |
val argss = map args dom_eqns; |
35791
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changeset
|
361 |
in |
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|
362 |
val thy = |
40737
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|
363 |
fold register_map (dnames ~~ argss) thy; |
35791
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|
364 |
end; |
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|
365 |
|
40216
366309dfaf60
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changeset
|
366 |
(* register deflation theorems *) |
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|
367 |
val thy = fold Domain_Take_Proofs.add_deflation_thm deflation_map_thms thy; |
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|
368 |
|
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|
369 |
val result = |
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|
370 |
{ |
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|
371 |
map_consts = map_consts, |
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|
372 |
map_apply_thms = map_apply_thms, |
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|
373 |
map_unfold_thms = map_unfold_thms, |
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|
374 |
deflation_map_thms = deflation_map_thms |
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|
375 |
} |
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|
376 |
in |
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|
377 |
(result, thy) |
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|
378 |
end; |
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changeset
|
379 |
|
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|
380 |
(******************************************************************************) |
35477 | 381 |
(******************************* main function ********************************) |
382 |
(******************************************************************************) |
|
33774 | 383 |
|
384 |
fun read_typ thy str sorts = |
|
385 |
let |
|
36610
bafd82950e24
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wenzelm
parents:
36241
diff
changeset
|
386 |
val ctxt = ProofContext.init_global thy |
33774 | 387 |
|> fold (Variable.declare_typ o TFree) sorts; |
388 |
val T = Syntax.read_typ ctxt str; |
|
389 |
in (T, Term.add_tfreesT T sorts) end; |
|
390 |
||
391 |
fun cert_typ sign raw_T sorts = |
|
392 |
let |
|
393 |
val T = Type.no_tvars (Sign.certify_typ sign raw_T) |
|
394 |
handle TYPE (msg, _, _) => error msg; |
|
395 |
val sorts' = Term.add_tfreesT T sorts; |
|
396 |
val _ = |
|
397 |
case duplicates (op =) (map fst sorts') of |
|
398 |
[] => () |
|
399 |
| dups => error ("Inconsistent sort constraints for " ^ commas dups) |
|
400 |
in (T, sorts') end; |
|
401 |
||
402 |
fun gen_domain_isomorphism |
|
403 |
(prep_typ: theory -> 'a -> (string * sort) list -> typ * (string * sort) list) |
|
34149
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|
404 |
(doms_raw: (string list * binding * mixfix * 'a * (binding * binding) option) list) |
33774 | 405 |
(thy: theory) |
35657
0537c34c6067
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huffman
parents:
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diff
changeset
|
406 |
: (Domain_Take_Proofs.iso_info list |
0537c34c6067
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huffman
parents:
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diff
changeset
|
407 |
* Domain_Take_Proofs.take_induct_info) * theory = |
33774 | 408 |
let |
40510 | 409 |
val _ = Theory.requires thy "Domain" "domain isomorphisms"; |
33774 | 410 |
|
411 |
(* this theory is used just for parsing *) |
|
412 |
val tmp_thy = thy |> |
|
413 |
Theory.copy |> |
|
40486 | 414 |
Sign.add_types (map (fn (tvs, tbind, mx, _, morphs) => |
415 |
(tbind, length tvs, mx)) doms_raw); |
|
33774 | 416 |
|
34149
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changeset
|
417 |
fun prep_dom thy (vs, t, mx, typ_raw, morphs) sorts = |
33774 | 418 |
let val (typ, sorts') = prep_typ thy typ_raw sorts |
34149
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huffman
parents:
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diff
changeset
|
419 |
in ((vs, t, mx, typ, morphs), sorts') end; |
33774 | 420 |
|
34149
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huffman
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changeset
|
421 |
val (doms : (string list * binding * mixfix * typ * (binding * binding) option) list, |
33774 | 422 |
sorts : (string * sort) list) = |
423 |
fold_map (prep_dom tmp_thy) doms_raw []; |
|
424 |
||
40486 | 425 |
(* lookup function for sorts of type variables *) |
426 |
fun the_sort v = the (AList.lookup (op =) sorts v); |
|
427 |
||
40490
05be0c37db1d
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huffman
parents:
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diff
changeset
|
428 |
(* declare arities in temporary theory *) |
40487
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huffman
parents:
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diff
changeset
|
429 |
val tmp_thy = |
1320a0747974
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huffman
parents:
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changeset
|
430 |
let |
1320a0747974
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huffman
parents:
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diff
changeset
|
431 |
fun arity (vs, tbind, mx, _, _) = |
40497 | 432 |
(Sign.full_name thy tbind, map the_sort vs, @{sort "domain"}); |
40487
1320a0747974
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huffman
parents:
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diff
changeset
|
433 |
in |
1320a0747974
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huffman
parents:
40486
diff
changeset
|
434 |
fold AxClass.axiomatize_arity (map arity doms) tmp_thy |
1320a0747974
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huffman
parents:
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diff
changeset
|
435 |
end; |
1320a0747974
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huffman
parents:
40486
diff
changeset
|
436 |
|
40490
05be0c37db1d
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huffman
parents:
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diff
changeset
|
437 |
(* check bifiniteness of right-hand sides *) |
05be0c37db1d
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parents:
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changeset
|
438 |
fun check_rhs (vs, tbind, mx, rhs, morphs) = |
40497 | 439 |
if Sign.of_sort tmp_thy (rhs, @{sort "domain"}) then () |
440 |
else error ("Type not of sort domain: " ^ |
|
40490
05be0c37db1d
add bifiniteness check for domain_isomorphism command
huffman
parents:
40489
diff
changeset
|
441 |
quote (Syntax.string_of_typ_global tmp_thy rhs)); |
05be0c37db1d
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huffman
parents:
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diff
changeset
|
442 |
val _ = map check_rhs doms; |
05be0c37db1d
add bifiniteness check for domain_isomorphism command
huffman
parents:
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diff
changeset
|
443 |
|
33775
7a1518c42c56
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huffman
parents:
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diff
changeset
|
444 |
(* domain equations *) |
34149
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huffman
parents:
33971
diff
changeset
|
445 |
fun mk_dom_eqn (vs, tbind, mx, rhs, morphs) = |
40486 | 446 |
let fun arg v = TFree (v, the_sort v); |
33775
7a1518c42c56
cleaned up; factored out fixed-point definition code
huffman
parents:
33774
diff
changeset
|
447 |
in (Type (Sign.full_name tmp_thy tbind, map arg vs), rhs) end; |
7a1518c42c56
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huffman
parents:
33774
diff
changeset
|
448 |
val dom_eqns = map mk_dom_eqn doms; |
7a1518c42c56
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huffman
parents:
33774
diff
changeset
|
449 |
|
7a1518c42c56
cleaned up; factored out fixed-point definition code
huffman
parents:
33774
diff
changeset
|
450 |
(* check for valid type parameters *) |
35474 | 451 |
val (tyvars, _, _, _, _) = hd doms; |
34149
a0efb4754cb7
add 'morphisms' option to domain_isomorphism command
huffman
parents:
33971
diff
changeset
|
452 |
val new_doms = map (fn (tvs, tname, mx, _, _) => |
33774 | 453 |
let val full_tname = Sign.full_name tmp_thy tname |
454 |
in |
|
455 |
(case duplicates (op =) tvs of |
|
456 |
[] => |
|
33775
7a1518c42c56
cleaned up; factored out fixed-point definition code
huffman
parents:
33774
diff
changeset
|
457 |
if eq_set (op =) (tyvars, tvs) then (full_tname, tvs) |
33774 | 458 |
else error ("Mutually recursive domains must have same type parameters") |
459 |
| dups => error ("Duplicate parameter(s) for domain " ^ quote (Binding.str_of tname) ^ |
|
460 |
" : " ^ commas dups)) |
|
33775
7a1518c42c56
cleaned up; factored out fixed-point definition code
huffman
parents:
33774
diff
changeset
|
461 |
end) doms; |
35773 | 462 |
val dbinds = map (fn (_, dbind, _, _, _) => dbind) doms; |
34149
a0efb4754cb7
add 'morphisms' option to domain_isomorphism command
huffman
parents:
33971
diff
changeset
|
463 |
val morphs = map (fn (_, _, _, _, morphs) => morphs) doms; |
33774 | 464 |
|
40218
f7d4d023a899
make domain package work with non-cpo argument types
huffman
parents:
40216
diff
changeset
|
465 |
(* determine deflation combinator arguments *) |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
466 |
val lhsTs : typ list = map fst dom_eqns; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
467 |
val defl_rec = Free ("t", mk_tupleT (map (K deflT) lhsTs)); |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
468 |
val defl_recs = mk_projs lhsTs defl_rec; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
469 |
val defl_recs' = map (apsnd mk_u_defl) defl_recs; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
470 |
fun defl_body (_, _, _, rhsT, _) = |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
471 |
defl_of_typ tmp_thy defl_recs defl_recs' rhsT; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
472 |
val functional = Term.lambda defl_rec (mk_tuple (map defl_body doms)); |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
473 |
|
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
474 |
val tfrees = map fst (Term.add_tfrees functional []); |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
475 |
val frees = map fst (Term.add_frees functional []); |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
476 |
fun get_defl_flags (vs, _, _, _, _) = |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
477 |
let |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
478 |
fun argT v = TFree (v, the_sort v); |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
479 |
fun mk_d v = "d" ^ Library.unprefix "'" v; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
480 |
fun mk_p v = "p" ^ Library.unprefix "'" v; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
481 |
val args = maps (fn v => [(mk_d v, mk_DEFL (argT v)), (mk_p v, mk_LIFTDEFL (argT v))]) vs; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
482 |
val typeTs = map argT (filter (member (op =) tfrees) vs); |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
483 |
val defl_args = map snd (filter (member (op =) frees o fst) args); |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
484 |
in |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
485 |
(typeTs, defl_args) |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
486 |
end; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
487 |
val defl_flagss = map get_defl_flags doms; |
40218
f7d4d023a899
make domain package work with non-cpo argument types
huffman
parents:
40216
diff
changeset
|
488 |
|
33784
7e434813752f
change naming convention for deflation combinators
huffman
parents:
33782
diff
changeset
|
489 |
(* declare deflation combinator constants *) |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
490 |
fun declare_defl_const ((typeTs, defl_args), (_, tbind, _, _, _)) thy = |
33774 | 491 |
let |
33784
7e434813752f
change naming convention for deflation combinators
huffman
parents:
33782
diff
changeset
|
492 |
val defl_bind = Binding.suffix_name "_defl" tbind; |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
493 |
val defl_type = |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
494 |
map Term.itselfT typeTs ---> map (K deflT) defl_args -->> deflT; |
33774 | 495 |
in |
33784
7e434813752f
change naming convention for deflation combinators
huffman
parents:
33782
diff
changeset
|
496 |
Sign.declare_const ((defl_bind, defl_type), NoSyn) thy |
33774 | 497 |
end; |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
498 |
val (defl_consts, thy) = |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
499 |
fold_map declare_defl_const (defl_flagss ~~ doms) thy; |
33774 | 500 |
|
33775
7a1518c42c56
cleaned up; factored out fixed-point definition code
huffman
parents:
33774
diff
changeset
|
501 |
(* defining equations for type combinators *) |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
502 |
fun mk_defl_term (defl_const, (typeTs, defl_args)) = |
40487
1320a0747974
implement defl_of_typ using Pattern.rewrite_term instead of DeflData theory data
huffman
parents:
40486
diff
changeset
|
503 |
let |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
504 |
val type_args = map Logic.mk_type typeTs; |
40487
1320a0747974
implement defl_of_typ using Pattern.rewrite_term instead of DeflData theory data
huffman
parents:
40486
diff
changeset
|
505 |
in |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
506 |
list_ccomb (list_comb (defl_const, type_args), defl_args) |
40487
1320a0747974
implement defl_of_typ using Pattern.rewrite_term instead of DeflData theory data
huffman
parents:
40486
diff
changeset
|
507 |
end; |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
508 |
val defl_terms = map mk_defl_term (defl_consts ~~ defl_flagss); |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
509 |
val defl_tab = map fst dom_eqns ~~ defl_terms; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
510 |
val defl_tab' = map fst dom_eqns ~~ map mk_u_defl defl_terms; |
33776 | 511 |
fun mk_defl_spec (lhsT, rhsT) = |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
512 |
mk_eqs (defl_of_typ tmp_thy defl_tab defl_tab' lhsT, |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
513 |
defl_of_typ tmp_thy defl_tab defl_tab' rhsT); |
33775
7a1518c42c56
cleaned up; factored out fixed-point definition code
huffman
parents:
33774
diff
changeset
|
514 |
val defl_specs = map mk_defl_spec dom_eqns; |
33774 | 515 |
|
33784
7e434813752f
change naming convention for deflation combinators
huffman
parents:
33782
diff
changeset
|
516 |
(* register recursive definition of deflation combinators *) |
35773 | 517 |
val defl_binds = map (Binding.suffix_name "_defl") dbinds; |
33788 | 518 |
val ((defl_apply_thms, defl_unfold_thms), thy) = |
519 |
add_fixdefs (defl_binds ~~ defl_specs) thy; |
|
33774 | 520 |
|
33776 | 521 |
(* define types using deflation combinators *) |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
522 |
fun make_repdef ((vs, tbind, mx, _, _), defl) thy = |
33774 | 523 |
let |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
524 |
val spec = (tbind, map (rpair dummyS) vs, mx); |
40494
db8a09daba7b
add class liftdomain, for bifinite domains where DEFL('a u) = u_defl('a)
huffman
parents:
40492
diff
changeset
|
525 |
val ((_, _, _, {DEFL, liftemb_def, liftprj_def, ...}), thy) = |
40575 | 526 |
Domaindef.add_domaindef false NONE spec defl NONE thy; |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
527 |
(* declare domain_defl_simps rules *) |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
528 |
val thy = Context.theory_map (RepData.add_thm DEFL) thy; |
33774 | 529 |
in |
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
530 |
(DEFL, thy) |
33774 | 531 |
end; |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
532 |
val (DEFL_thms, thy) = fold_map make_repdef (doms ~~ defl_terms) thy; |
33776 | 533 |
|
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
534 |
(* prove DEFL equations *) |
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
535 |
fun mk_DEFL_eq_thm (lhsT, rhsT) = |
33776 | 536 |
let |
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
537 |
val goal = mk_eqs (mk_DEFL lhsT, mk_DEFL rhsT); |
40216
366309dfaf60
use Named_Thms instead of Theory_Data for some domain package theorems
huffman
parents:
40037
diff
changeset
|
538 |
val DEFL_simps = RepData.get (ProofContext.init_global thy); |
33776 | 539 |
val tac = |
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
540 |
rewrite_goals_tac (map mk_meta_eq DEFL_simps) |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
541 |
THEN TRY (resolve_tac defl_unfold_thms 1); |
33776 | 542 |
in |
33777 | 543 |
Goal.prove_global thy [] [] goal (K tac) |
33776 | 544 |
end; |
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
545 |
val DEFL_eq_thms = map mk_DEFL_eq_thm dom_eqns; |
33782 | 546 |
|
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
547 |
(* register DEFL equations *) |
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
548 |
val DEFL_eq_binds = map (Binding.prefix_name "DEFL_eq_") dbinds; |
33782 | 549 |
val (_, thy) = thy |> |
39557
fe5722fce758
renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents:
37744
diff
changeset
|
550 |
(Global_Theory.add_thms o map Thm.no_attributes) |
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
551 |
(DEFL_eq_binds ~~ DEFL_eq_thms); |
33776 | 552 |
|
33778 | 553 |
(* define rep/abs functions *) |
34149
a0efb4754cb7
add 'morphisms' option to domain_isomorphism command
huffman
parents:
33971
diff
changeset
|
554 |
fun mk_rep_abs ((tbind, morphs), (lhsT, rhsT)) thy = |
33778 | 555 |
let |
556 |
val rep_bind = Binding.suffix_name "_rep" tbind; |
|
557 |
val abs_bind = Binding.suffix_name "_abs" tbind; |
|
35477 | 558 |
val ((rep_const, rep_def), thy) = |
40037
81e6b89d8f58
eliminate constant 'coerce'; use 'prj oo emb' instead
huffman
parents:
40015
diff
changeset
|
559 |
define_const (rep_bind, coerce_const (lhsT, rhsT)) thy; |
35477 | 560 |
val ((abs_const, abs_def), thy) = |
40037
81e6b89d8f58
eliminate constant 'coerce'; use 'prj oo emb' instead
huffman
parents:
40015
diff
changeset
|
561 |
define_const (abs_bind, coerce_const (rhsT, lhsT)) thy; |
33778 | 562 |
in |
33785
2f2d9eb37084
automate definition of map functions; remove unused code
huffman
parents:
33784
diff
changeset
|
563 |
(((rep_const, abs_const), (rep_def, abs_def)), thy) |
33778 | 564 |
end; |
33785
2f2d9eb37084
automate definition of map functions; remove unused code
huffman
parents:
33784
diff
changeset
|
565 |
val ((rep_abs_consts, rep_abs_defs), thy) = thy |
35773 | 566 |
|> fold_map mk_rep_abs (dbinds ~~ morphs ~~ dom_eqns) |
33785
2f2d9eb37084
automate definition of map functions; remove unused code
huffman
parents:
33784
diff
changeset
|
567 |
|>> ListPair.unzip; |
33782 | 568 |
|
569 |
(* prove isomorphism and isodefl rules *) |
|
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
570 |
fun mk_iso_thms ((tbind, DEFL_eq), (rep_def, abs_def)) thy = |
33782 | 571 |
let |
35773 | 572 |
fun make thm = |
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
573 |
Drule.zero_var_indexes (thm OF [DEFL_eq, abs_def, rep_def]); |
33782 | 574 |
val rep_iso_thm = make @{thm domain_rep_iso}; |
575 |
val abs_iso_thm = make @{thm domain_abs_iso}; |
|
576 |
val isodefl_thm = make @{thm isodefl_abs_rep}; |
|
35773 | 577 |
val thy = thy |
578 |
|> snd o add_qualified_thm "rep_iso" (tbind, rep_iso_thm) |
|
579 |
|> snd o add_qualified_thm "abs_iso" (tbind, abs_iso_thm) |
|
580 |
|> snd o add_qualified_thm "isodefl_abs_rep" (tbind, isodefl_thm); |
|
33782 | 581 |
in |
582 |
(((rep_iso_thm, abs_iso_thm), isodefl_thm), thy) |
|
583 |
end; |
|
35489 | 584 |
val ((iso_thms, isodefl_abs_rep_thms), thy) = |
35480
7a1f285cad25
domain_isomorphism package proves deflation rules for map functions
huffman
parents:
35479
diff
changeset
|
585 |
thy |
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
586 |
|> fold_map mk_iso_thms (dbinds ~~ DEFL_eq_thms ~~ rep_abs_defs) |
33782 | 587 |
|>> ListPair.unzip; |
33778 | 588 |
|
35467
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
589 |
(* collect info about rep/abs *) |
35514
a2cfa413eaab
move take-related definitions and proofs to new module; simplify map_of_typ functions
huffman
parents:
35498
diff
changeset
|
590 |
val iso_infos : Domain_Take_Proofs.iso_info list = |
35467
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
591 |
let |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
592 |
fun mk_info (((lhsT, rhsT), (repC, absC)), (rep_iso, abs_iso)) = |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
593 |
{ |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
594 |
repT = rhsT, |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
595 |
absT = lhsT, |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
596 |
rep_const = repC, |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
597 |
abs_const = absC, |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
598 |
rep_inverse = rep_iso, |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
599 |
abs_inverse = abs_iso |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
600 |
}; |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
601 |
in |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
602 |
map mk_info (dom_eqns ~~ rep_abs_consts ~~ iso_thms) |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
603 |
end |
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
604 |
|
35791
dc175fe29326
separate map-related code into new function define_map_functions
huffman
parents:
35773
diff
changeset
|
605 |
(* definitions and proofs related to map functions *) |
dc175fe29326
separate map-related code into new function define_map_functions
huffman
parents:
35773
diff
changeset
|
606 |
val (map_info, thy) = |
dc175fe29326
separate map-related code into new function define_map_functions
huffman
parents:
35773
diff
changeset
|
607 |
define_map_functions (dbinds ~~ iso_infos) thy; |
dc175fe29326
separate map-related code into new function define_map_functions
huffman
parents:
35773
diff
changeset
|
608 |
val { map_consts, map_apply_thms, map_unfold_thms, |
dc175fe29326
separate map-related code into new function define_map_functions
huffman
parents:
35773
diff
changeset
|
609 |
deflation_map_thms } = map_info; |
33788 | 610 |
|
611 |
(* prove isodefl rules for map functions *) |
|
612 |
val isodefl_thm = |
|
613 |
let |
|
614 |
fun unprime a = Library.unprefix "'" a; |
|
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
615 |
fun mk_d T = Free ("d" ^ unprime (fst (dest_TFree T)), deflT); |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
616 |
fun mk_p T = Free ("p" ^ unprime (fst (dest_TFree T)), deflT); |
35474 | 617 |
fun mk_f T = Free ("f" ^ unprime (fst (dest_TFree T)), T ->> T); |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
618 |
fun mk_assm t = |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
619 |
case try dest_LIFTDEFL t of |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
620 |
SOME T => mk_trp (isodefl_const (mk_upT T) $ mk_u_map (mk_f T) $ mk_p T) |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
621 |
| NONE => |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
622 |
let val T = dest_DEFL t |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
623 |
in mk_trp (isodefl_const T $ mk_f T $ mk_d T) end; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
624 |
fun mk_goal (map_const, (T, rhsT)) = |
33788 | 625 |
let |
35474 | 626 |
val (_, Ts) = dest_Type T; |
40218
f7d4d023a899
make domain package work with non-cpo argument types
huffman
parents:
40216
diff
changeset
|
627 |
val map_term = list_ccomb (map_const, map mk_f (filter (is_cpo thy) Ts)); |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
628 |
val defl_term = defl_of_typ thy (Ts ~~ map mk_d Ts) (Ts ~~ map mk_p Ts) T; |
33788 | 629 |
in isodefl_const T $ map_term $ defl_term end; |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
630 |
val assms = (map mk_assm o snd o hd) defl_flagss; |
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
631 |
val goals = map mk_goal (map_consts ~~ dom_eqns); |
33788 | 632 |
val goal = mk_trp (foldr1 HOLogic.mk_conj goals); |
633 |
val start_thms = |
|
634 |
@{thm split_def} :: defl_apply_thms @ map_apply_thms; |
|
635 |
val adm_rules = |
|
636 |
@{thms adm_conj adm_isodefl cont2cont_fst cont2cont_snd cont_id}; |
|
637 |
val bottom_rules = |
|
638 |
@{thms fst_strict snd_strict isodefl_bottom simp_thms}; |
|
40492 | 639 |
val map_ID_thms = Domain_Take_Proofs.get_map_ID_thms thy; |
640 |
val map_ID_simps = map (fn th => th RS sym) map_ID_thms; |
|
33788 | 641 |
val isodefl_rules = |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
642 |
@{thms conjI isodefl_ID_DEFL isodefl_LIFTDEFL} |
33791 | 643 |
@ isodefl_abs_rep_thms |
40216
366309dfaf60
use Named_Thms instead of Theory_Data for some domain package theorems
huffman
parents:
40037
diff
changeset
|
644 |
@ IsodeflData.get (ProofContext.init_global thy); |
33845 | 645 |
in |
646 |
Goal.prove_global thy [] assms goal (fn {prems, ...} => |
|
647 |
EVERY |
|
33788 | 648 |
[simp_tac (HOL_basic_ss addsimps start_thms) 1, |
33791 | 649 |
(* FIXME: how reliable is unification here? *) |
650 |
(* Maybe I should instantiate the rule. *) |
|
33788 | 651 |
rtac @{thm parallel_fix_ind} 1, |
652 |
REPEAT (resolve_tac adm_rules 1), |
|
653 |
simp_tac (HOL_basic_ss addsimps bottom_rules) 1, |
|
654 |
simp_tac beta_ss 1, |
|
655 |
simp_tac (HOL_basic_ss addsimps @{thms fst_conv snd_conv}) 1, |
|
40492 | 656 |
simp_tac (HOL_basic_ss addsimps map_ID_simps) 1, |
33788 | 657 |
REPEAT (etac @{thm conjE} 1), |
33845 | 658 |
REPEAT (resolve_tac (isodefl_rules @ prems) 1 ORELSE atac 1)]) |
33788 | 659 |
end; |
35773 | 660 |
val isodefl_binds = map (Binding.prefix_name "isodefl_") dbinds; |
33789 | 661 |
fun conjuncts [] thm = [] |
662 |
| conjuncts (n::[]) thm = [(n, thm)] |
|
663 |
| conjuncts (n::ns) thm = let |
|
664 |
val thmL = thm RS @{thm conjunct1}; |
|
665 |
val thmR = thm RS @{thm conjunct2}; |
|
666 |
in (n, thmL):: conjuncts ns thmR end; |
|
667 |
val (isodefl_thms, thy) = thy |> |
|
39557
fe5722fce758
renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents:
37744
diff
changeset
|
668 |
(Global_Theory.add_thms o map (Thm.no_attributes o apsnd Drule.zero_var_indexes)) |
33789 | 669 |
(conjuncts isodefl_binds isodefl_thm); |
40216
366309dfaf60
use Named_Thms instead of Theory_Data for some domain package theorems
huffman
parents:
40037
diff
changeset
|
670 |
val thy = fold (Context.theory_map o IsodeflData.add_thm) isodefl_thms thy; |
33793 | 671 |
|
672 |
(* prove map_ID theorems *) |
|
673 |
fun prove_map_ID_thm |
|
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
674 |
(((map_const, (lhsT, _)), DEFL_thm), isodefl_thm) = |
33793 | 675 |
let |
676 |
val Ts = snd (dest_Type lhsT); |
|
40218
f7d4d023a899
make domain package work with non-cpo argument types
huffman
parents:
40216
diff
changeset
|
677 |
fun is_cpo T = Sign.of_sort thy (T, @{sort cpo}); |
f7d4d023a899
make domain package work with non-cpo argument types
huffman
parents:
40216
diff
changeset
|
678 |
val lhs = list_ccomb (map_const, map mk_ID (filter is_cpo Ts)); |
35475
979019ab92eb
move common functions into new file holcf_library.ML
huffman
parents:
35474
diff
changeset
|
679 |
val goal = mk_eqs (lhs, mk_ID lhsT); |
33793 | 680 |
val tac = EVERY |
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
681 |
[rtac @{thm isodefl_DEFL_imp_ID} 1, |
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
682 |
stac DEFL_thm 1, |
33793 | 683 |
rtac isodefl_thm 1, |
40491
6de5839e2fb3
add 'predomain' class: unpointed version of bifinite
huffman
parents:
40490
diff
changeset
|
684 |
REPEAT (resolve_tac @{thms isodefl_ID_DEFL isodefl_LIFTDEFL} 1)]; |
33793 | 685 |
in |
686 |
Goal.prove_global thy [] [] goal (K tac) |
|
687 |
end; |
|
35773 | 688 |
val map_ID_binds = map (Binding.suffix_name "_map_ID") dbinds; |
33793 | 689 |
val map_ID_thms = |
690 |
map prove_map_ID_thm |
|
39989
ad60d7311f43
renamed type and constant 'sfp' to 'defl'; replaced syntax SFP('a) with DEFL('a)
huffman
parents:
39974
diff
changeset
|
691 |
(map_consts ~~ dom_eqns ~~ DEFL_thms ~~ isodefl_thms); |
33793 | 692 |
val (_, thy) = thy |> |
40489 | 693 |
(Global_Theory.add_thms o map (rpair [Domain_Take_Proofs.map_ID_add])) |
33793 | 694 |
(map_ID_binds ~~ map_ID_thms); |
33802
48ce3a1063f2
domain_isomorphism package defines copy functions
huffman
parents:
33801
diff
changeset
|
695 |
|
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
696 |
(* definitions and proofs related to take functions *) |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
697 |
val (take_info, thy) = |
35514
a2cfa413eaab
move take-related definitions and proofs to new module; simplify map_of_typ functions
huffman
parents:
35498
diff
changeset
|
698 |
Domain_Take_Proofs.define_take_functions |
35773 | 699 |
(dbinds ~~ iso_infos) thy; |
40015 | 700 |
val { take_consts, chain_take_thms, take_0_thms, take_Suc_thms, ...} = |
701 |
take_info; |
|
33807
ce8d2e8bca21
domain_isomorphism package defines combined copy function
huffman
parents:
33802
diff
changeset
|
702 |
|
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
703 |
(* least-upper-bound lemma for take functions *) |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
704 |
val lub_take_lemma = |
33809
033831fd9ef3
store map_ID thms in theory data; automate proofs of reach lemmas
huffman
parents:
33807
diff
changeset
|
705 |
let |
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
706 |
val lhs = mk_tuple (map mk_lub take_consts); |
40218
f7d4d023a899
make domain package work with non-cpo argument types
huffman
parents:
40216
diff
changeset
|
707 |
fun is_cpo T = Sign.of_sort thy (T, @{sort cpo}); |
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
708 |
fun mk_map_ID (map_const, (lhsT, rhsT)) = |
40218
f7d4d023a899
make domain package work with non-cpo argument types
huffman
parents:
40216
diff
changeset
|
709 |
list_ccomb (map_const, map mk_ID (filter is_cpo (snd (dest_Type lhsT)))); |
33809
033831fd9ef3
store map_ID thms in theory data; automate proofs of reach lemmas
huffman
parents:
33807
diff
changeset
|
710 |
val rhs = mk_tuple (map mk_map_ID (map_consts ~~ dom_eqns)); |
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
711 |
val goal = mk_trp (mk_eq (lhs, rhs)); |
40489 | 712 |
val map_ID_thms = Domain_Take_Proofs.get_map_ID_thms thy; |
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
713 |
val start_rules = |
40771 | 714 |
@{thms lub_Pair [symmetric] ch2ch_Pair} @ chain_take_thms |
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
715 |
@ @{thms pair_collapse split_def} |
40216
366309dfaf60
use Named_Thms instead of Theory_Data for some domain package theorems
huffman
parents:
40037
diff
changeset
|
716 |
@ map_apply_thms @ map_ID_thms; |
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
717 |
val rules0 = |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
718 |
@{thms iterate_0 Pair_strict} @ take_0_thms; |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
719 |
val rules1 = |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
720 |
@{thms iterate_Suc Pair_fst_snd_eq fst_conv snd_conv} |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
721 |
@ take_Suc_thms; |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
722 |
val tac = |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
723 |
EVERY |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
724 |
[simp_tac (HOL_basic_ss addsimps start_rules) 1, |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
725 |
simp_tac (HOL_basic_ss addsimps @{thms fix_def2}) 1, |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
726 |
rtac @{thm lub_eq} 1, |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
727 |
rtac @{thm nat.induct} 1, |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
728 |
simp_tac (HOL_basic_ss addsimps rules0) 1, |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
729 |
asm_full_simp_tac (beta_ss addsimps rules1) 1]; |
33809
033831fd9ef3
store map_ID thms in theory data; automate proofs of reach lemmas
huffman
parents:
33807
diff
changeset
|
730 |
in |
033831fd9ef3
store map_ID thms in theory data; automate proofs of reach lemmas
huffman
parents:
33807
diff
changeset
|
731 |
Goal.prove_global thy [] [] goal (K tac) |
033831fd9ef3
store map_ID thms in theory data; automate proofs of reach lemmas
huffman
parents:
33807
diff
changeset
|
732 |
end; |
033831fd9ef3
store map_ID thms in theory data; automate proofs of reach lemmas
huffman
parents:
33807
diff
changeset
|
733 |
|
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
734 |
(* prove lub of take equals ID *) |
35773 | 735 |
fun prove_lub_take (((dbind, take_const), map_ID_thm), (lhsT, rhsT)) thy = |
33809
033831fd9ef3
store map_ID thms in theory data; automate proofs of reach lemmas
huffman
parents:
33807
diff
changeset
|
736 |
let |
35557
5da670d57118
uniformly use variable names m and n in take-related lemmas; use export_without_context where appropriate
huffman
parents:
35555
diff
changeset
|
737 |
val n = Free ("n", natT); |
5da670d57118
uniformly use variable names m and n in take-related lemmas; use export_without_context where appropriate
huffman
parents:
35555
diff
changeset
|
738 |
val goal = mk_eqs (mk_lub (lambda n (take_const $ n)), mk_ID lhsT); |
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
739 |
val tac = |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
740 |
EVERY |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
741 |
[rtac @{thm trans} 1, rtac map_ID_thm 2, |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
742 |
cut_facts_tac [lub_take_lemma] 1, |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
743 |
REPEAT (etac @{thm Pair_inject} 1), atac 1]; |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
744 |
val lub_take_thm = Goal.prove_global thy [] [] goal (K tac); |
33809
033831fd9ef3
store map_ID thms in theory data; automate proofs of reach lemmas
huffman
parents:
33807
diff
changeset
|
745 |
in |
35773 | 746 |
add_qualified_thm "lub_take" (dbind, lub_take_thm) thy |
33809
033831fd9ef3
store map_ID thms in theory data; automate proofs of reach lemmas
huffman
parents:
33807
diff
changeset
|
747 |
end; |
35494
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
748 |
val (lub_take_thms, thy) = |
45c9a8278faf
domain package no longer generates copy functions; all proofs use take functions instead
huffman
parents:
35490
diff
changeset
|
749 |
fold_map prove_lub_take |
35773 | 750 |
(dbinds ~~ take_consts ~~ map_ID_thms ~~ dom_eqns) thy; |
33809
033831fd9ef3
store map_ID thms in theory data; automate proofs of reach lemmas
huffman
parents:
33807
diff
changeset
|
751 |
|
35654
7a15e181bf3b
move proofs of reach and take lemmas to domain_take_proofs.ML
huffman
parents:
35640
diff
changeset
|
752 |
(* prove additional take theorems *) |
7a15e181bf3b
move proofs of reach and take lemmas to domain_take_proofs.ML
huffman
parents:
35640
diff
changeset
|
753 |
val (take_info2, thy) = |
7a15e181bf3b
move proofs of reach and take lemmas to domain_take_proofs.ML
huffman
parents:
35640
diff
changeset
|
754 |
Domain_Take_Proofs.add_lub_take_theorems |
35773 | 755 |
(dbinds ~~ iso_infos) take_info lub_take_thms thy; |
33774 | 756 |
in |
35659 | 757 |
((iso_infos, take_info2), thy) |
33774 | 758 |
end; |
759 |
||
760 |
val domain_isomorphism = gen_domain_isomorphism cert_typ; |
|
35467
561d8e98d9d3
domain_isomorphism function returns iso_info record
huffman
parents:
35021
diff
changeset
|
761 |
val domain_isomorphism_cmd = snd oo gen_domain_isomorphism read_typ; |
33774 | 762 |
|
763 |
(******************************************************************************) |
|
764 |
(******************************** outer syntax ********************************) |
|
765 |
(******************************************************************************) |
|
766 |
||
767 |
local |
|
768 |
||
34149
a0efb4754cb7
add 'morphisms' option to domain_isomorphism command
huffman
parents:
33971
diff
changeset
|
769 |
val parse_domain_iso : |
a0efb4754cb7
add 'morphisms' option to domain_isomorphism command
huffman
parents:
33971
diff
changeset
|
770 |
(string list * binding * mixfix * string * (binding * binding) option) |
a0efb4754cb7
add 'morphisms' option to domain_isomorphism command
huffman
parents:
33971
diff
changeset
|
771 |
parser = |
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
772 |
(Parse.type_args -- Parse.binding -- Parse.opt_mixfix -- (Parse.$$$ "=" |-- Parse.typ) -- |
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
773 |
Scan.option (Parse.$$$ "morphisms" |-- Parse.!!! (Parse.binding -- Parse.binding))) |
34149
a0efb4754cb7
add 'morphisms' option to domain_isomorphism command
huffman
parents:
33971
diff
changeset
|
774 |
>> (fn ((((vs, t), mx), rhs), morphs) => (vs, t, mx, rhs, morphs)); |
33774 | 775 |
|
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
776 |
val parse_domain_isos = Parse.and_list1 parse_domain_iso; |
33774 | 777 |
|
778 |
in |
|
779 |
||
780 |
val _ = |
|
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
781 |
Outer_Syntax.command "domain_isomorphism" "define domain isomorphisms (HOLCF)" |
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
782 |
Keyword.thy_decl |
33774 | 783 |
(parse_domain_isos >> (Toplevel.theory o domain_isomorphism_cmd)); |
784 |
||
785 |
end; |
|
786 |
||
787 |
end; |