src/HOL/MicroJava/J/TypeRel.thy
author oheimb
Mon Jan 03 14:07:08 2000 +0100 (2000-01-03)
changeset 8082 381716a86fcb
parent 8034 6fc37b5c5e98
child 8106 de9fae0cdfde
permissions -rw-r--r--
removed inj_eq from the default simpset again
     1 (*  Title:      HOL/MicroJava/J/TypeRel.thy
     2     ID:         $Id$
     3     Author:     David von Oheimb
     4     Copyright   1999 Technische Universitaet Muenchen
     5 
     6 The relations between Java types
     7 *)
     8 
     9 TypeRel = Prog +
    10 
    11 consts
    12   subcls1	:: "'c prog \\<Rightarrow> (cname \\<times> cname) set" (*        subclass *)
    13   widen,				 	    (*        widening *)
    14   cast		:: "'c prog \\<Rightarrow> (ty \\<times> ty) set"	    (*        casting *)
    15 
    16 syntax
    17   subcls1	:: "'c prog \\<Rightarrow> [cname, cname] \\<Rightarrow> bool" ("_\\<turnstile>_\\<prec>C1_"	 [71,71,71] 70)
    18   subcls	:: "'c prog \\<Rightarrow> [cname, cname] \\<Rightarrow> bool" ("_\\<turnstile>_\\<prec>C _"	 [71,71,71] 70)
    19   widen		:: "'c prog \\<Rightarrow> [ty, ty] \\<Rightarrow> bool"       ("_\\<turnstile>_\\<preceq>_"  [71,71,71] 70)
    20   cast		:: "'c prog \\<Rightarrow> [ty, ty] \\<Rightarrow> bool"       ("_\\<turnstile>_\\<Rightarrow>? _"[71,71,71] 70)
    21 
    22 translations
    23   	"G\\<turnstile>C \\<prec>C1 D" == "(C,D) \\<in> subcls1 G"
    24 	"G\\<turnstile>C \\<prec>C  D" == "(C,D) \\<in> (subcls1 G)^*"
    25 	"G\\<turnstile>S \\<preceq>   T" == "(S,T) \\<in> widen   G"
    26 	"G\\<turnstile>S \\<Rightarrow>?  T" == "(S,T) \\<in> cast    G"
    27 
    28 defs
    29 
    30   (* direct subclass, cf. 8.1.3 *)
    31   subcls1_def	"subcls1 G \\<equiv> {(C,D). \\<exists>c. class G C = Some c \\<and> fst c = Some D}"
    32   
    33 consts
    34 
    35   method	:: "'c prog \\<times> cname \\<Rightarrow> ( sig   \\<leadsto> cname \\<times> ty \\<times> 'c)"
    36   field	:: "'c prog \\<times> cname \\<Rightarrow> ( vname \\<leadsto> cname \\<times> ty)"
    37   fields	:: "'c prog \\<times> cname \\<Rightarrow> ((vname \\<times> cname) \\<times>  ty) list"
    38 
    39 constdefs       (* auxiliary relations for recursive definitions below *)
    40 
    41   subcls1_rel	:: "(('c prog \\<times> cname) \\<times> ('c prog \\<times> cname)) set"
    42  "subcls1_rel \\<equiv> {((G,C),(G',C')). G = G' \\<and>  wf ((subcls1 G)^-1) \\<and>  G\\<turnstile>C'\\<prec>C1C}"
    43 
    44 (* methods of a class, with inheritance, overriding and hiding, cf. 8.4.6 *)
    45 recdef method "subcls1_rel"
    46  "method (G,C) = (if wf((subcls1 G)^-1) then (case class G C of None \\<Rightarrow> empty
    47                    | Some (sc,fs,ms) \\<Rightarrow> (case sc of None \\<Rightarrow> empty | Some D \\<Rightarrow> 
    48                                            if is_class G D then method (G,D) 
    49                                                            else arbitrary) \\<oplus>
    50                                            map_of (map (\\<lambda>(s,  m ). 
    51                                                         (s,(C,m))) ms))
    52                   else arbitrary)"
    53 
    54 (* list of fields of a class, including inherited and hidden ones *)
    55 recdef fields  "subcls1_rel"
    56  "fields (G,C) = (if wf((subcls1 G)^-1) then (case class G C of None \\<Rightarrow> arbitrary
    57                    | Some (sc,fs,ms) \\<Rightarrow> map (\\<lambda>(fn,ft). ((fn,C),ft)) fs@
    58                                            (case sc of None \\<Rightarrow> [] | Some D \\<Rightarrow> 
    59                                            if is_class G D then fields (G,D) 
    60                                                            else arbitrary))
    61                   else arbitrary)"
    62 defs
    63 
    64   field_def "field \\<equiv> map_of o (map (\\<lambda>((fn,fd),ft). (fn,(fd,ft)))) o fields"
    65 
    66 inductive "widen G" intrs (*widening, viz. method invocation conversion, cf. 5.3
    67 			     i.e. sort of syntactic subtyping *)
    68   refl	              "G\\<turnstile>      T \\<preceq> T" 	 (* identity conv., cf. 5.1.1 *)
    69   subcls "G\\<turnstile>C\\<prec>C D \\<Longrightarrow> G\\<turnstile>Class C \\<preceq> Class D"
    70   null	              "G\\<turnstile>     NT \\<preceq> RefT R"
    71 
    72 inductive "cast G" intrs (* casting / narr.ref. conversion, cf. 5.5 / 5.1.5 *)
    73   widen	 "G\\<turnstile>S\\<preceq>T  \\<Longrightarrow> G\\<turnstile>      S \\<Rightarrow>? T"
    74   subcls "G\\<turnstile>C\\<prec>C D \\<Longrightarrow> G\\<turnstile>Class D \\<Rightarrow>? Class C"
    75 
    76 end