Theory DefsComp

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theory DefsComp
imports JVMExec
begin

(*  Title:      HOL/MicroJava/Comp/DefsComp.thy
    ID:         $Id: DefsComp.thy,v 1.4 2005/02/01 17:02:05 paulson Exp $
    Author:     Martin Strecker
*)

(* Definitions for accessing parts of methods, states etc. *)

theory DefsComp
imports "../JVM/JVMExec"
begin


constdefs
  method_rT :: "cname × ty × 'c => ty"
  "method_rT mtd == (fst (snd mtd))"


constdefs
(* g = get *)
  gx :: "xstate => val option"  "gx ≡ fst"
  gs :: "xstate => state"  "gs ≡ snd"
  gh :: "xstate => aheap"        "gh ≡ fstosnd"
  gl :: "xstate => State.locals" "gl ≡ sndosnd"

  gmb :: "'a prog => cname => sig => 'a"
    "gmb G cn si ≡ snd(snd(the(method (G,cn) si)))"
  gis :: "jvm_method => bytecode"
    "gis ≡ fst o snd o snd"

(* jmb = aus einem JavaMaethodBody *)
  gjmb_pns  :: "java_mb => vname list"     "gjmb_pns ≡ fst"
  gjmb_lvs  :: "java_mb => (vname×ty)list" "gjmb_lvs ≡ fstosnd"
  gjmb_blk  :: "java_mb => stmt"           "gjmb_blk ≡ fstosndosnd"
  gjmb_res  :: "java_mb => expr"           "gjmb_res ≡ sndosndosnd"
  gjmb_plns :: "java_mb => vname list"
    "gjmb_plns ≡ λjmb. gjmb_pns jmb @ map fst (gjmb_lvs jmb)"

  glvs :: "java_mb => State.locals => locvars"
    "glvs jmb loc ≡ map (theoloc) (gjmb_plns jmb)"
  
lemmas gdefs = gx_def gh_def gl_def gmb_def gis_def glvs_def
lemmas gjmbdefs = gjmb_pns_def gjmb_lvs_def gjmb_blk_def gjmb_res_def gjmb_plns_def

lemmas galldefs = gdefs gjmbdefs



constdefs 
  locvars_locals :: "java_mb prog => cname => sig => State.locals => locvars"
  "locvars_locals G C S lvs == the (lvs This) # glvs (gmb G C S) lvs"

  locals_locvars :: "java_mb prog => cname => sig => locvars => State.locals"
  "locals_locvars G C S lvs == 
  empty ((gjmb_plns (gmb G C S))[\<mapsto>](tl lvs)) (This\<mapsto>(hd lvs))"

  locvars_xstate :: "java_mb prog => cname => sig => xstate => locvars"
  "locvars_xstate G C S xs == locvars_locals G C S (gl xs)"


lemma locvars_xstate_par_dep: 
  "lv1 = lv2 ==> 
  locvars_xstate G C S (xcpt1, hp1, lv1) = locvars_xstate G C S (xcpt2, hp2, lv2)"
by (simp add: locvars_xstate_def gl_def)




(**********************************************************************)
(* Conversions *)


lemma gx_conv [simp]: "gx (xcpt, s) = xcpt" by (simp add: gx_def)

lemma gh_conv [simp]: "gh (xcpt, h, l) = h" by (simp add: gh_def)


end

lemmas gdefs:

  gx == fst
  gh == fst o snd
  gl == snd o snd
  gmb G cn si == snd (snd (the (method (G, cn) si)))
  gis == fst o snd o snd
  glvs jmb loc == map (the o loc) (gjmb_plns jmb)

lemmas gdefs:

  gx == fst
  gh == fst o snd
  gl == snd o snd
  gmb G cn si == snd (snd (the (method (G, cn) si)))
  gis == fst o snd o snd
  glvs jmb loc == map (the o loc) (gjmb_plns jmb)

lemmas gjmbdefs:

  gjmb_pns == fst
  gjmb_lvs == fst o snd
  gjmb_blk == fst o snd o snd
  gjmb_res == snd o snd o snd
  gjmb_plns == %jmb. gjmb_pns jmb @ map fst (gjmb_lvs jmb)

lemmas gjmbdefs:

  gjmb_pns == fst
  gjmb_lvs == fst o snd
  gjmb_blk == fst o snd o snd
  gjmb_res == snd o snd o snd
  gjmb_plns == %jmb. gjmb_pns jmb @ map fst (gjmb_lvs jmb)

lemmas galldefs:

  gx == fst
  gh == fst o snd
  gl == snd o snd
  gmb G cn si == snd (snd (the (method (G, cn) si)))
  gis == fst o snd o snd
  glvs jmb loc == map (the o loc) (gjmb_plns jmb)
  gjmb_pns == fst
  gjmb_lvs == fst o snd
  gjmb_blk == fst o snd o snd
  gjmb_res == snd o snd o snd
  gjmb_plns == %jmb. gjmb_pns jmb @ map fst (gjmb_lvs jmb)

lemmas galldefs:

  gx == fst
  gh == fst o snd
  gl == snd o snd
  gmb G cn si == snd (snd (the (method (G, cn) si)))
  gis == fst o snd o snd
  glvs jmb loc == map (the o loc) (gjmb_plns jmb)
  gjmb_pns == fst
  gjmb_lvs == fst o snd
  gjmb_blk == fst o snd o snd
  gjmb_res == snd o snd o snd
  gjmb_plns == %jmb. gjmb_pns jmb @ map fst (gjmb_lvs jmb)

lemma locvars_xstate_par_dep:

  lv1.0 = lv2.0
  ==> locvars_xstate G C S (xcpt1.0, hp1.0, lv1.0) =
      locvars_xstate G C S (xcpt2.0, hp2.0, lv2.0)

lemma gx_conv:

  gx (xcpt, s) = xcpt

lemma gh_conv:

  gh (xcpt, h, l) = h