author  wenzelm 
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permissions  rwrr 
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(* Title: Pure/axclass.ML 
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Author: Markus Wenzel, TU Muenchen 
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24964  4 
Type classes defined as predicates, associated with a record of 
36417  5 
parameters. Proven class relations and type arities. 
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*) 
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signature AX_CLASS = 
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sig 
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type info = {def: thm, intro: thm, axioms: thm list, params: (string * typ) list} 
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val get_info: theory > class > info 

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val class_of_param: theory > string > class option 

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val instance_name: string * class > string 

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val thynames_of_arity: theory > class * string > string list 

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val param_of_inst: theory > string * string > string 

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val inst_of_param: theory > string > (string * string) option 

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val unoverload: theory > thm > thm 

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val overload: theory > thm > thm 

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val unoverload_conv: theory > conv 

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val overload_conv: theory > conv 

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val lookup_inst_param: Consts.T > ((string * string) * 'a) list > string * typ > 'a option 

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val unoverload_const: theory > string * typ > string 

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val cert_classrel: theory > class * class > class * class 

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val read_classrel: theory > xstring * xstring > class * class 

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val declare_overloaded: string * typ > theory > term * theory 

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val define_overloaded: binding > string * term > theory > thm * theory 

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val add_classrel: thm > theory > theory 
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val add_arity: thm > theory > theory 

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val prove_classrel: class * class > tactic > theory > theory 

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val prove_arity: string * sort list * sort > tactic > theory > theory 

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val define_class: binding * class list > string list > 
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(Thm.binding * term list) list > theory > class * theory 

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val axiomatize_class: binding * class list > theory > theory 
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val axiomatize_class_cmd: binding * xstring list > theory > theory 
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val axiomatize_classrel: (class * class) list > theory > theory 
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val axiomatize_classrel_cmd: (xstring * xstring) list > theory > theory 
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val axiomatize_arity: arity > theory > theory 
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val axiomatize_arity_cmd: xstring * string list * string > theory > theory 
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end; 
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15801  41 
structure AxClass: AX_CLASS = 
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struct 
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19405  44 
(** theory data **) 
423  45 

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(* axclass info *) 
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type info = 
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{def: thm, 
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intro: thm, 
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axioms: thm list, 
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params: (string * typ) list}; 
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fun make_axclass (def, intro, axioms, params): info = 
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{def = def, intro = intro, axioms = axioms, params = params}; 
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19405  58 
(* class parameters (canonical order) *) 
423  59 

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type param = string * class; 
423  61 

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fun add_param pp ((x, c): param) params = 
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(case AList.lookup (op =) params x of 

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NONE => (x, c) :: params 

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 SOME c' => error ("Duplicate class parameter " ^ quote x ^ 

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" for " ^ Pretty.string_of_sort pp [c] ^ 

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(if c = c' then "" else " and " ^ Pretty.string_of_sort pp [c']))); 

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19511  70 
(* setup data *) 
19392  71 

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datatype data = Data of 
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{axclasses: info Symtab.table, 
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params: param list, 
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proven_classrels: thm Symreltab.table, 
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proven_arities: ((class * sort list) * (thm * string)) list Symtab.table, 
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(*arity theorems with theory name*) 
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inst_params: 
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(string * thm) Symtab.table Symtab.table * 
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(*constant name ~> type constructor ~> (constant name, equation)*) 
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(string * string) Symtab.table (*constant name ~> (constant name, type constructor)*), 
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diff_classrels: (class * class) list}; 
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fun make_data 
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(axclasses, params, proven_classrels, proven_arities, inst_params, diff_classrels) = 
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Data {axclasses = axclasses, params = params, proven_classrels = proven_classrels, 
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proven_arities = proven_arities, inst_params = inst_params, 
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diff_classrels = diff_classrels}; 
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fun diff_table tab1 tab2 = 
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Symreltab.fold (fn (x, _) => if Symreltab.defined tab2 x then I else cons x) tab1 []; 
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structure Data = Theory_Data_PP 
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( 
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type T = data; 
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val empty = 
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make_data (Symtab.empty, [], Symreltab.empty, Symtab.empty, (Symtab.empty, Symtab.empty), []); 
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val extend = I; 
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fun merge pp 
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(Data {axclasses = axclasses1, params = params1, proven_classrels = proven_classrels1, 
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proven_arities = proven_arities1, inst_params = inst_params1, 
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diff_classrels = diff_classrels1}, 
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Data {axclasses = axclasses2, params = params2, proven_classrels = proven_classrels2, 
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proven_arities = proven_arities2, inst_params = inst_params2, 
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diff_classrels = diff_classrels2}) = 
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let 
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val axclasses' = Symtab.merge (K true) (axclasses1, axclasses2); 
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val params' = 
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if null params1 then params2 
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else fold_rev (fn p => if member (op =) params1 p then I else add_param pp p) params2 params1; 
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(*transitive closure of classrels and arity completion is done in Theory.at_begin hook*) 
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val proven_classrels' = Symreltab.join (K #1) (proven_classrels1, proven_classrels2); 
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val proven_arities' = 
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Symtab.join (K (Library.merge (eq_fst op =))) (proven_arities1, proven_arities2); 
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val diff_classrels' = 
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diff_table proven_classrels1 proven_classrels2 @ 
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diff_table proven_classrels2 proven_classrels1 @ 
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diff_classrels1 @ diff_classrels2; 
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val inst_params' = 
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(Symtab.join (K (Symtab.merge (K true))) (#1 inst_params1, #1 inst_params2), 
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Symtab.merge (K true) (#2 inst_params1, #2 inst_params2)); 
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in 
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make_data 
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(axclasses', params', proven_classrels', proven_arities', inst_params', diff_classrels') 
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end; 
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); 
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fun map_data f = 
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Data.map (fn Data {axclasses, params, proven_classrels, proven_arities, inst_params, diff_classrels} => 
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make_data (f (axclasses, params, proven_classrels, proven_arities, inst_params, diff_classrels))); 
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fun map_axclasses f = 
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map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params, diff_classrels) => 
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(f axclasses, params, proven_classrels, proven_arities, inst_params, diff_classrels)); 
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fun map_params f = 
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map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params, diff_classrels) => 
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(axclasses, f params, proven_classrels, proven_arities, inst_params, diff_classrels)); 
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fun map_proven_classrels f = 
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map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params, diff_classrels) => 
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(axclasses, params, f proven_classrels, proven_arities, inst_params, diff_classrels)); 
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fun map_proven_arities f = 
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map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params, diff_classrels) => 
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(axclasses, params, proven_classrels, f proven_arities, inst_params, diff_classrels)); 
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fun map_inst_params f = 
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map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params, diff_classrels) => 
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(axclasses, params, proven_classrels, proven_arities, f inst_params, diff_classrels)); 
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val clear_diff_classrels = 
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map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params, _) => 
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(axclasses, params, proven_classrels, proven_arities, inst_params, [])); 
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val rep_data = Data.get #> (fn Data args => args); 
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val axclasses_of = #axclasses o rep_data; 
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val params_of = #params o rep_data; 
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val proven_classrels_of = #proven_classrels o rep_data; 
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val proven_arities_of = #proven_arities o rep_data; 
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val inst_params_of = #inst_params o rep_data; 
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val diff_classrels_of = #diff_classrels o rep_data; 
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167 

6379  168 

36346  169 
(* axclasses with parameters *) 
19392  170 

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fun get_info thy c = 
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172 
(case Symtab.lookup (axclasses_of thy) c of 
36327  173 
SOME info => info 
21919  174 
 NONE => error ("No such axclass: " ^ quote c)); 
6379  175 

36327  176 
fun all_params_of thy S = 
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let val params = params_of thy; 
36327  178 
in fold (fn (x, c) => if Sign.subsort thy (S, [c]) then cons x else I) params [] end; 
19460  179 

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fun class_of_param thy = AList.lookup (op =) (params_of thy); 
19460  181 

21919  182 

19511  183 
(* maintain instances *) 
19503  184 

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val classrel_prefix = "classrel_"; 
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val arity_prefix = "arity_"; 
25486  187 

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fun instance_name (a, c) = Long_Name.base_name c ^ "_" ^ Long_Name.base_name a; 
19528  189 

190 

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191 
infix 0 RSO; 
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192 

36456  193 
fun (SOME a) RSO (SOME b) = SOME (a RS b) 
194 
 x RSO NONE = x 

195 
 NONE RSO y = y; 

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196 

19574  197 
fun the_classrel thy (c1, c2) = 
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(case Symreltab.lookup (proven_classrels_of thy) (c1, c2) of 
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SOME thm => thm 
24920  200 
 NONE => error ("Unproven class relation " ^ 
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201 
Syntax.string_of_classrel (ProofContext.init_global thy) [c1, c2])); (* FIXME stale thy (!?) *) 
19574  202 

36325  203 
fun put_trancl_classrel ((c1, c2), th) thy = 
204 
let 

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val classes = Sorts.classes_of (Sign.classes_of thy); 
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val classrels = proven_classrels_of thy; 
36325  207 

208 
fun reflcl_classrel (c1', c2') = 

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if c1' = c2' then NONE else SOME (Thm.transfer thy (the_classrel thy (c1', c2'))); 
36325  210 
fun gen_classrel (c1_pred, c2_succ) = 
211 
let 

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val th' = 
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the ((reflcl_classrel (c1_pred, c1) RSO SOME th) RSO reflcl_classrel (c2, c2_succ)) 
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> Drule.instantiate' [SOME (ctyp_of thy (TVar ((Name.aT, 0), [])))] [] 
36327  215 
> Thm.close_derivation; 
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in ((c1_pred, c2_succ), th') end; 
36325  217 

36327  218 
val new_classrels = 
219 
Library.map_product pair (c1 :: Graph.imm_preds classes c1) (c2 :: Graph.imm_succs classes c2) 

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220 
> filter_out ((op =) orf Symreltab.defined classrels) 
36327  221 
> map gen_classrel; 
222 
val needed = not (null new_classrels); 

36325  223 
in 
224 
(needed, 

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if needed then map_proven_classrels (fold Symreltab.update new_classrels) thy 
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226 
else thy) 
36325  227 
end; 
228 

229 
fun complete_classrels thy = 

230 
let 

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val classrels = proven_classrels_of thy; 
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232 
val diff_classrels = diff_classrels_of thy; 
36325  233 
val (needed, thy') = (false, thy) > 
36417  234 
fold (fn rel => fn (needed, thy) => 
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put_trancl_classrel (rel, Symreltab.lookup classrels rel > the) thy 
36325  236 
>> (fn b => needed orelse b)) 
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237 
diff_classrels; 
36325  238 
in 
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239 
if null diff_classrels then NONE 
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240 
else SOME (clear_diff_classrels thy') 
36325  241 
end; 
19503  242 

243 

36740  244 
fun the_arity thy (a, Ss, c) = 
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(case AList.lookup (op =) (Symtab.lookup_list (proven_arities_of thy) a) (c, Ss) of 
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SOME (thm, _) => thm 
24920  247 
 NONE => error ("Unproven type arity " ^ 
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248 
Syntax.string_of_arity (ProofContext.init_global thy) (a, Ss, [c]))); (* FIXME stale thy (!?) *) 
19503  249 

33172  250 
fun thynames_of_arity thy (c, a) = 
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Symtab.lookup_list (proven_arities_of thy) a 
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> map_filter (fn ((c', _), (_, name)) => if c = c' then SOME name else NONE) 
27497  253 
> rev; 
27397  254 

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255 
fun insert_arity_completions thy t ((c, Ss), ((th, thy_name))) (finished, arities) = 
27547  256 
let 
257 
val algebra = Sign.classes_of thy; 

36417  258 
val ars = Symtab.lookup_list arities t; 
33172  259 
val super_class_completions = 
260 
Sign.super_classes thy c 

36417  261 
> filter_out (fn c1 => exists (fn ((c2, Ss2), _) => 
262 
c1 = c2 andalso Sorts.sorts_le algebra (Ss2, Ss)) ars); 

263 

264 
val names = Name.invents Name.context Name.aT (length Ss); 

265 
val std_vars = map (fn a => SOME (ctyp_of thy (TVar ((a, 0), [])))) names; 

266 

36325  267 
val completions = super_class_completions > map (fn c1 => 
268 
let 

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val th1 = 
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270 
(th RS Thm.transfer thy (the_classrel thy (c, c1))) 
36417  271 
> Drule.instantiate' std_vars [] 
36327  272 
> Thm.close_derivation; 
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273 
in ((th1, thy_name), c1) end); 
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274 

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275 
val finished' = finished andalso null completions; 
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276 
val arities' = fold (fn (th, c1) => Symtab.cons_list (t, ((c1, Ss), th))) completions arities; 
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277 
in (finished', arities') end; 
19503  278 

27547  279 
fun put_arity ((t, Ss, c), th) thy = 
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280 
let val ar = ((c, Ss), (th, Context.theory_name thy)) in 
27547  281 
thy 
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282 
> map_proven_arities 
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283 
(Symtab.insert_list (eq_fst op =) (t, ar) #> 
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284 
curry (insert_arity_completions thy t ar) true #> #2) 
27547  285 
end; 
19503  286 

31944  287 
fun complete_arities thy = 
27547  288 
let 
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289 
val arities = proven_arities_of thy; 
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290 
val (finished, arities') = 
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291 
Symtab.fold (fn (t, ars) => fold (insert_arity_completions thy t) ars) arities (true, arities); 
33172  292 
in 
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293 
if finished then NONE 
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294 
else SOME (map_proven_arities (K arities') thy) 
27547  295 
end; 
296 

36325  297 
val _ = Context.>> (Context.map_theory 
36740  298 
(Theory.at_begin complete_classrels #> 
299 
Theory.at_begin complete_arities)); 

27397  300 

36740  301 
val _ = Proofterm.install_axclass_proofs 
302 
{classrel_proof = Thm.proof_of oo the_classrel, 

303 
arity_proof = Thm.proof_of oo the_arity}; 

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304 

27397  305 

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306 
(* maintain instance parameters *) 
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307 

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308 
fun get_inst_param thy (c, tyco) = 
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309 
(case Symtab.lookup (the_default Symtab.empty (Symtab.lookup (#1 (inst_params_of thy)) c)) tyco of 
36327  310 
SOME c' => c' 
311 
 NONE => error ("No instance parameter for constant " ^ quote c ^ " on type " ^ quote tyco)); 

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312 

36327  313 
fun add_inst_param (c, tyco) inst = 
314 
(map_inst_params o apfst o Symtab.map_default (c, Symtab.empty)) (Symtab.update_new (tyco, inst)) 

36417  315 
#> (map_inst_params o apsnd) (Symtab.update_new (#1 inst, (c, tyco))); 
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316 

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317 
val inst_of_param = Symtab.lookup o #2 o inst_params_of; 
36417  318 
val param_of_inst = #1 oo get_inst_param; 
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319 

36327  320 
fun inst_thms thy = 
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321 
Symtab.fold (Symtab.fold (cons o #2 o #2) o #2) (#1 (inst_params_of thy)) []; 
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322 

36417  323 
fun get_inst_tyco consts = try (#1 o dest_Type o the_single o Consts.typargs consts); 
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324 

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325 
fun unoverload thy = MetaSimplifier.simplify true (inst_thms thy); 
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326 
fun overload thy = MetaSimplifier.simplify true (map Thm.symmetric (inst_thms thy)); 
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327 

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328 
fun unoverload_conv thy = MetaSimplifier.rewrite true (inst_thms thy); 
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329 
fun overload_conv thy = MetaSimplifier.rewrite true (map Thm.symmetric (inst_thms thy)); 
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330 

36327  331 
fun lookup_inst_param consts params (c, T) = 
332 
(case get_inst_tyco consts (c, T) of 

333 
SOME tyco => AList.lookup (op =) params (c, tyco) 

334 
 NONE => NONE); 

31249  335 

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336 
fun unoverload_const thy (c_ty as (c, _)) = 
36327  337 
if is_some (class_of_param thy c) then 
338 
(case get_inst_tyco (Sign.consts_of thy) c_ty of 

339 
SOME tyco => try (param_of_inst thy) (c, tyco) > the_default c 

340 
 NONE => c) 

33969  341 
else c; 
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342 

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343 

36327  344 

19511  345 
(** instances **) 
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346 

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347 
(* class relations *) 
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348 

19405  349 
fun cert_classrel thy raw_rel = 
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350 
let 
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351 
val string_of_sort = Syntax.string_of_sort_global thy; 
19405  352 
val (c1, c2) = pairself (Sign.certify_class thy) raw_rel; 
24271  353 
val _ = Sign.primitive_classrel (c1, c2) (Theory.copy thy); 
19405  354 
val _ = 
19460  355 
(case subtract (op =) (all_params_of thy [c1]) (all_params_of thy [c2]) of 
19405  356 
[] => () 
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357 
 xs => raise TYPE ("Class " ^ string_of_sort [c1] ^ " lacks parameter(s) " ^ 
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358 
commas_quote xs ^ " of " ^ string_of_sort [c2], [], [])); 
19405  359 
in (c1, c2) end; 
360 

361 
fun read_classrel thy raw_rel = 

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362 
cert_classrel thy (pairself (ProofContext.read_class (ProofContext.init_global thy)) raw_rel) 
19405  363 
handle TYPE (msg, _, _) => error msg; 
364 

365 

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366 
(* declaration and definition of instances of overloaded constants *) 
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367 

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368 
fun inst_tyco_of thy (c, T) = 
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369 
(case get_inst_tyco (Sign.consts_of thy) (c, T) of 
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370 
SOME tyco => tyco 
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371 
 NONE => error ("Illegal type for instantiation of class parameter: " ^ 
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372 
quote (c ^ " :: " ^ Syntax.string_of_typ_global thy T))); 
31249  373 

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374 
fun declare_overloaded (c, T) thy = 
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375 
let 
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376 
val class = 
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377 
(case class_of_param thy c of 
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378 
SOME class => class 
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379 
 NONE => error ("Not a class parameter: " ^ quote c)); 
31249  380 
val tyco = inst_tyco_of thy (c, T); 
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381 
val name_inst = instance_name (tyco, class) ^ "_inst"; 
36417  382 
val c' = instance_name (tyco, c); 
25597
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383 
val T' = Type.strip_sorts T; 
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384 
in 
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changeset

385 
thy 
35201
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changeset

386 
> Sign.qualified_path true (Binding.name name_inst) 
33173
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eliminated obsolete tags for types/consts  now handled via name space, in strongly typed fashion;
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diff
changeset

387 
> Sign.declare_const ((Binding.name c', T'), NoSyn) 
30344
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changeset

388 
> (fn const' as Const (c'', _) => 
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389 
Thm.add_def false true 
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390 
(Binding.name (Thm.def_name c'), Logic.mk_equals (Const (c, T'), const')) 
36106
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391 
#>> apsnd Thm.varifyT_global 
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Thm.add_axiom/add_def: return internal name of foundational axiom;
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392 
#> (fn (_, thm) => add_inst_param (c, tyco) (c'', thm) 
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Thm.add_axiom/add_def: return internal name of foundational axiom;
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393 
#> PureThy.add_thm ((Binding.conceal (Binding.name c'), thm), []) 
36417  394 
#> #2 
36106
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395 
#> pair (Const (c, T)))) 
35201
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396 
> Sign.restore_naming thy 
25597
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397 
end; 
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changeset

398 

30519
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coherent binding policy with primitive target operations
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changeset

399 
fun define_overloaded b (c, t) thy = 
25597
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changeset

400 
let 
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401 
val T = Term.fastype_of t; 
31249  402 
val tyco = inst_tyco_of thy (c, T); 
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403 
val (c', eq) = get_inst_param thy (c, tyco); 
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changeset

404 
val prop = Logic.mk_equals (Const (c', T), t); 
36417  405 
val b' = Thm.def_binding_optional (Binding.name (instance_name (tyco, c))) b; 
25597
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406 
in 
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parents:
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diff
changeset

407 
thy 
30519
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coherent binding policy with primitive target operations
haftmann
parents:
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diff
changeset

408 
> Thm.add_def false false (b', prop) 
36106
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Thm.add_axiom/add_def: return internal name of foundational axiom;
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changeset

409 
>> (fn (_, thm) => Drule.transitive_thm OF [eq, thm]) 
25597
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410 
end; 
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changeset

411 

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haftmann
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changeset

412 

30951
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413 
(* primitive rules *) 
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changeset

414 

31948
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add_classrel/arity: strip_shyps of stored result;
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diff
changeset

415 
fun add_classrel raw_th thy = 
30951
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416 
let 
31948
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add_classrel/arity: strip_shyps of stored result;
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417 
val th = Thm.strip_shyps (Thm.transfer thy raw_th); 
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418 
val prop = Thm.plain_prop_of th; 
30951
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419 
fun err () = raise THM ("add_classrel: malformed class relation", 0, [th]); 
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420 
val rel = Logic.dest_classrel prop handle TERM _ => err (); 
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421 
val (c1, c2) = cert_classrel thy rel handle TYPE _ => err (); 
36325  422 
val th' = th 
36934
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changeset

423 
> Thm.unconstrainT 
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changeset

424 
> Drule.instantiate' [SOME (ctyp_of thy (TVar ((Name.aT, 0), [])))] []; 
30951
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changeset

425 
in 
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haftmann
parents:
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diff
changeset

426 
thy 
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changeset

427 
> Sign.primitive_classrel (c1, c2) 
36417  428 
> (#2 oo put_trancl_classrel) ((c1, c2), th') 
30951
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changeset

429 
> perhaps complete_arities 
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430 
end; 
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changeset

431 

31948
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432 
fun add_arity raw_th thy = 
30951
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433 
let 
31948
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diff
changeset

434 
val th = Thm.strip_shyps (Thm.transfer thy raw_th); 
ea8c8bf47ce3
add_classrel/arity: strip_shyps of stored result;
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parents:
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diff
changeset

435 
val prop = Thm.plain_prop_of th; 
30951
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changeset

436 
fun err () = raise THM ("add_arity: malformed type arity", 0, [th]); 
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changeset

437 
val (t, Ss, c) = Logic.dest_arity prop handle TERM _ => err (); 
36417  438 

439 
val args = Name.names Name.context Name.aT Ss; 

440 
val T = Type (t, map TFree args); 

36934
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diff
changeset

441 
val std_vars = map (fn (a, S) => SOME (ctyp_of thy (TVar ((a, 0), [])))) args; 
36417  442 

30951
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changeset

443 
val missing_params = Sign.complete_sort thy [c] 
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changeset

444 
> maps (these o Option.map #params o try (get_info thy)) 
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diff
changeset

445 
> filter_out (fn (const, _) => can (get_inst_param thy) (const, t)) 
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changeset

446 
> (map o apsnd o map_atyps) (K T); 
36325  447 
val th' = th 
36934
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krauss
parents:
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diff
changeset

448 
> Thm.unconstrainT 
ae0809cff6f0
normalize atyp names after unconstrainT, which may rename atyps arbitrarily;
krauss
parents:
36881
diff
changeset

449 
> Drule.instantiate' std_vars []; 
30951
a6e26a248f03
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haftmann
parents:
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diff
changeset

450 
in 
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haftmann
parents:
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diff
changeset

451 
thy 
36417  452 
> fold (#2 oo declare_overloaded) missing_params 
30951
a6e26a248f03
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haftmann
parents:
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diff
changeset

453 
> Sign.primitive_arity (t, Ss, [c]) 
36325  454 
> put_arity ((t, Ss, c), th') 
30951
a6e26a248f03
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parents:
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diff
changeset

455 
end; 
a6e26a248f03
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haftmann
parents:
30519
diff
changeset

456 

a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

457 

a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
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diff
changeset

458 
(* tactical proofs *) 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

459 

a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
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diff
changeset

460 
fun prove_classrel raw_rel tac thy = 
a6e26a248f03
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haftmann
parents:
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diff
changeset

461 
let 
36610
bafd82950e24
renamed ProofContext.init to ProofContext.init_global to emphasize that this is not the real thing;
wenzelm
parents:
36456
diff
changeset

462 
val ctxt = ProofContext.init_global thy; 
30951
a6e26a248f03
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haftmann
parents:
30519
diff
changeset

463 
val (c1, c2) = cert_classrel thy raw_rel; 
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haftmann
parents:
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diff
changeset

464 
val th = Goal.prove ctxt [] [] (Logic.mk_classrel (c1, c2)) (K tac) handle ERROR msg => 
a6e26a248f03
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haftmann
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diff
changeset

465 
cat_error msg ("The error(s) above occurred while trying to prove class relation " ^ 
a6e26a248f03
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haftmann
parents:
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diff
changeset

466 
quote (Syntax.string_of_classrel ctxt [c1, c2])); 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
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diff
changeset

467 
in 
a6e26a248f03
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haftmann
parents:
30519
diff
changeset

468 
thy 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

469 
> PureThy.add_thms [((Binding.name 
a6e26a248f03
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haftmann
parents:
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diff
changeset

470 
(prefix classrel_prefix (Logic.name_classrel (c1, c2))), th), [])] 
a6e26a248f03
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haftmann
parents:
30519
diff
changeset

471 
> (fn [th'] => add_classrel th') 
a6e26a248f03
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haftmann
parents:
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diff
changeset

472 
end; 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

473 

a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
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diff
changeset

474 
fun prove_arity raw_arity tac thy = 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

475 
let 
36610
bafd82950e24
renamed ProofContext.init to ProofContext.init_global to emphasize that this is not the real thing;
wenzelm
parents:
36456
diff
changeset

476 
val ctxt = ProofContext.init_global thy; 
35669
a91c7ed801b8
added ProofContext.tsig_of  proforma version for local name space only, not logical content;
wenzelm
parents:
35238
diff
changeset

477 
val arity = ProofContext.cert_arity ctxt raw_arity; 
30951
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

478 
val names = map (prefix arity_prefix) (Logic.name_arities arity); 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

479 
val props = Logic.mk_arities arity; 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

480 
val ths = Goal.prove_multi ctxt [] [] props 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

481 
(fn _ => Goal.precise_conjunction_tac (length props) 1 THEN tac) handle ERROR msg => 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

482 
cat_error msg ("The error(s) above occurred while trying to prove type arity " ^ 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

483 
quote (Syntax.string_of_arity ctxt arity)); 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

484 
in 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

485 
thy 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

486 
> PureThy.add_thms (map (rpair []) (map Binding.name names ~~ ths)) 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

487 
> fold add_arity 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

488 
end; 
a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

489 

a6e26a248f03
formal declaration of undefined parameters after class instantiation
haftmann
parents:
30519
diff
changeset

490 

19511  491 

492 
(** class definitions **) 

493 

23421  494 
fun split_defined n eq = 
495 
let 

496 
val intro = 

497 
(eq RS Drule.equal_elim_rule2) 

498 
> Conjunction.curry_balanced n 

499 
> n = 0 ? Thm.eq_assumption 1; 

500 
val dests = 

501 
if n = 0 then [] 

502 
else 

503 
(eq RS Drule.equal_elim_rule1) 

32765  504 
> Balanced_Tree.dest (fn th => 
23421  505 
(th RS Conjunction.conjunctionD1, th RS Conjunction.conjunctionD2)) n; 
506 
in (intro, dests) end; 

507 

24964  508 
fun define_class (bclass, raw_super) raw_params raw_specs thy = 
19511  509 
let 
36610
bafd82950e24
renamed ProofContext.init to ProofContext.init_global to emphasize that this is not the real thing;
wenzelm
parents:
36456
diff
changeset

510 
val ctxt = ProofContext.init_global thy; 
24964  511 
val pp = Syntax.pp ctxt; 
19511  512 

513 

24964  514 
(* class *) 
19511  515 

30344
10a67c5ddddb
more uniform handling of binding in targets and derived elements;
wenzelm
parents:
30280
diff
changeset

516 
val bconst = Binding.map_name Logic.const_of_class bclass; 
10a67c5ddddb
more uniform handling of binding in targets and derived elements;
wenzelm
parents:
30280
diff
changeset

517 
val class = Sign.full_name thy bclass; 
24731  518 
val super = Sign.minimize_sort thy (Sign.certify_sort thy raw_super); 
19511  519 

24964  520 
fun check_constraint (a, S) = 
521 
if Sign.subsort thy (super, S) then () 

522 
else error ("Sort constraint of type variable " ^ 

32966
5b21661fe618
indicate CRITICAL nature of various setmp combinators;
wenzelm
parents:
32791
diff
changeset

523 
setmp_CRITICAL show_sorts true (Pretty.string_of_typ pp) (TFree (a, S)) ^ 
24964  524 
" needs to be weaker than " ^ Pretty.string_of_sort pp super); 
525 

526 

527 
(* params *) 

528 

529 
val params = raw_params > map (fn p => 

530 
let 

531 
val T = Sign.the_const_type thy p; 

532 
val _ = 

533 
(case Term.add_tvarsT T [] of 

534 
[((a, _), S)] => check_constraint (a, S) 

535 
 _ => error ("Exactly one type variable expected in class parameter " ^ quote p)); 

536 
val T' = Term.map_type_tvar (fn _ => TFree (Name.aT, [class])) T; 

537 
in (p, T') end); 

538 

539 

540 
(* axioms *) 

541 

19511  542 
fun prep_axiom t = 
543 
(case Term.add_tfrees t [] of 

24964  544 
[(a, S)] => check_constraint (a, S) 
545 
 [] => () 

546 
 _ => error ("Multiple type variables in class axiom:\n" ^ Pretty.string_of_term pp t); 

547 
t 

548 
> Term.map_types (Term.map_atyps (fn TFree _ => Term.aT []  U => U)) 

549 
> Logic.close_form); 

19511  550 

24681  551 
val axiomss = map (map (prep_axiom o Sign.cert_prop thy) o snd) raw_specs; 
22745  552 
val name_atts = map fst raw_specs; 
19511  553 

554 

555 
(* definition *) 

556 

35854  557 
val conjs = Logic.mk_of_sort (Term.aT [], super) @ flat axiomss; 
19511  558 
val class_eq = 
31943
5e960a0780a2
renamed inclass/Inclass to of_class/OfClass, in accordance to of_sort;
wenzelm
parents:
31904
diff
changeset

559 
Logic.mk_equals (Logic.mk_of_class (Term.aT [], class), Logic.mk_conjunction_balanced conjs); 
19511  560 

561 
val ([def], def_thy) = 

562 
thy 

563 
> Sign.primitive_class (bclass, super) 

35238  564 
> PureThy.add_defs false [((Thm.def_binding bconst, class_eq), [])]; 
19511  565 
val (raw_intro, (raw_classrel, raw_axioms)) = 
23421  566 
split_defined (length conjs) def > chop (length super); 
19392  567 

19418
03b01c9314fc
reworded add_axclass(_i): canonical specification format,
wenzelm
parents:
19405
diff
changeset

568 

19511  569 
(* facts *) 
570 

571 
val class_triv = Thm.class_triv def_thy class; 

572 
val ([(_, [intro]), (_, classrel), (_, axioms)], facts_thy) = 

573 
def_thy 

35201
c2ddb9395436
axclass: more precise treatment of naming vs. binding;
wenzelm
parents:
35021
diff
changeset

574 
> Sign.qualified_path true bconst 
27691
ce171cbd4b93
PureThy: dropped note_thmss_qualified, dropped _i suffix
haftmann
parents:
27683
diff
changeset

575 
> PureThy.note_thmss "" 
36326  576 
[((Binding.name "intro", []), [([Drule.export_without_context raw_intro], [])]), 
577 
((Binding.name "super", []), [(map Drule.export_without_context raw_classrel, [])]), 

578 
((Binding.name "axioms", []), 

35021
c839a4c670c6
renamed oldstyle Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
34259
diff
changeset

579 
[(map (fn th => Drule.export_without_context (class_triv RS th)) raw_axioms, [])])] 
27691
ce171cbd4b93
PureThy: dropped note_thmss_qualified, dropped _i suffix
haftmann
parents:
27683
diff
changeset

580 
> Sign.restore_naming def_thy; 
19511  581 

24847  582 

19511  583 
(* result *) 
584 

36329
85004134055c
more systematic treatment of data  avoid slightly odd nested tuples here;
wenzelm
parents:
36328
diff
changeset

585 
val axclass = make_axclass (def, intro, axioms, params); 
19511  586 
val result_thy = 
587 
facts_thy 

36417  588 
> fold (#2 oo put_trancl_classrel) (map (pair class) super ~~ classrel) 
35201
c2ddb9395436
axclass: more precise treatment of naming vs. binding;
wenzelm
parents:
35021
diff
changeset

589 
> Sign.qualified_path false bconst 
36417  590 
> PureThy.note_thmss "" (name_atts ~~ map Thm.simple_fact (unflat axiomss axioms)) > #2 
19511  591 
> Sign.restore_naming facts_thy 
36329
85004134055c
more systematic treatment of data  avoid slightly odd nested tuples here;
wenzelm
parents:
36328
diff
changeset

592 
> map_axclasses (Symtab.update (class, axclass)) 
85004134055c
more systematic treatment of data  avoid slightly odd nested tuples here;
wenzelm
parents:
36328
diff
changeset

593 
> map_params (fold (fn (x, _) => add_param pp (x, class)) params); 
19511  594 

595 
in (class, result_thy) end; 

596 

597 

19531  598 

19511  599 
(** axiomatizations **) 
600 

601 
local 

602 

36417  603 
(*oldstyle axioms*) 
35896
487b267433b1
inlined version of oldstyle Drule.add_axioms  Specification.axiom is not bootstrapped yet;
wenzelm
parents:
35856
diff
changeset

604 
fun add_axiom (b, prop) = 
487b267433b1
inlined version of oldstyle Drule.add_axioms  Specification.axiom is not bootstrapped yet;
wenzelm
parents:
35856
diff
changeset

605 
Thm.add_axiom (b, prop) #> 
36106
19deea200358
Thm.add_axiom/add_def: return internal name of foundational axiom;
wenzelm
parents:
35961
diff
changeset

606 
(fn (_, thm) => PureThy.add_thm ((b, Drule.export_without_context thm), [])); 
35896
487b267433b1
inlined version of oldstyle Drule.add_axioms  Specification.axiom is not bootstrapped yet;
wenzelm
parents:
35856
diff
changeset

607 

20628  608 
fun axiomatize prep mk name add raw_args thy = 
609 
let 

610 
val args = prep thy raw_args; 

611 
val specs = mk args; 

612 
val names = name args; 

29579  613 
in 
614 
thy 

35896
487b267433b1
inlined version of oldstyle Drule.add_axioms  Specification.axiom is not bootstrapped yet;
wenzelm
parents:
35856
diff
changeset

615 
> fold_map add_axiom (map Binding.name names ~~ specs) 
29579  616 
> fold add 
617 
end; 

19511  618 

619 
fun ax_classrel prep = 

20628  620 
axiomatize (map o prep) (map Logic.mk_classrel) 
621 
(map (prefix classrel_prefix o Logic.name_classrel)) add_classrel; 

19511  622 

623 
fun ax_arity prep = 

36610
bafd82950e24
renamed ProofContext.init to ProofContext.init_global to emphasize that this is not the real thing;
wenzelm
parents:
36456
diff
changeset

624 
axiomatize (prep o ProofContext.init_global) Logic.mk_arities 
20628  625 
(map (prefix arity_prefix) o Logic.name_arities) add_arity; 
19511  626 

19706  627 
fun class_const c = 
628 
(Logic.const_of_class c, Term.itselfT (Term.aT []) > propT); 

629 

19511  630 
fun ax_class prep_class prep_classrel (bclass, raw_super) thy = 
631 
let 

30344
10a67c5ddddb
more uniform handling of binding in targets and derived elements;
wenzelm
parents:
30280
diff
changeset

632 
val class = Sign.full_name thy bclass; 
24731  633 
val super = map (prep_class thy) raw_super > Sign.minimize_sort thy; 
19511  634 
in 
635 
thy 

636 
> Sign.primitive_class (bclass, super) 

637 
> ax_classrel prep_classrel (map (fn c => (class, c)) super) 

19706  638 
> Theory.add_deps "" (class_const class) (map class_const super) 
19511  639 
end; 
640 

641 
in 

642 

24929
408becab067e
renamed AxClass.get_definition to AxClass.get_info (again);
wenzelm
parents:
24920
diff
changeset

643 
val axiomatize_class = ax_class Sign.certify_class cert_classrel; 
36610
bafd82950e24
renamed ProofContext.init to ProofContext.init_global to emphasize that this is not the real thing;
wenzelm
parents:
36456
diff
changeset

644 
val axiomatize_class_cmd = ax_class (ProofContext.read_class o ProofContext.init_global) read_classrel; 
24929
408becab067e
renamed AxClass.get_definition to AxClass.get_info (again);
wenzelm
parents:
24920
diff
changeset

645 
val axiomatize_classrel = ax_classrel cert_classrel; 
408becab067e
renamed AxClass.get_definition to AxClass.get_info (again);
wenzelm
parents:
24920
diff
changeset

646 
val axiomatize_classrel_cmd = ax_classrel read_classrel; 
35669
a91c7ed801b8
added ProofContext.tsig_of  proforma version for local name space only, not logical content;
wenzelm
parents:
35238
diff
changeset

647 
val axiomatize_arity = ax_arity ProofContext.cert_arity; 
a91c7ed801b8
added ProofContext.tsig_of  proforma version for local name space only, not logical content;
wenzelm
parents:
35238
diff
changeset

648 
val axiomatize_arity_cmd = ax_arity ProofContext.read_arity; 
19511  649 

650 
end; 

651 

652 
end; 