src/HOL/Bali/Example.thy
author schirmer
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"Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
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(*  Title:      HOL/Bali/Example.thy
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    ID:         $Id$
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    Author:     David von Oheimb
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    License:    GPL (GNU GENERAL PUBLIC LICENSE)
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*)
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header {* Example Bali program *}
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theory Example = Eval + WellForm:
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text {*
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The following example Bali program includes:
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\begin{itemize}
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\item class and interface declarations with inheritance, hiding of fields,
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    overriding of methods (with refined result type), array type,
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\item method call (with dynamic binding), parameter access, return expressions,
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\item expression statements, sequential composition, literal values, 
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    local assignment, local access, field assignment, type cast,
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\item exception generation and propagation, try and catch statement, throw 
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      statement
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\item instance creation and (default) static initialization
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\end{itemize}
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\begin{verbatim}
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package java_lang
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public interface HasFoo {
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  public Base foo(Base z);
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}
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public class Base implements HasFoo {
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  static boolean arr[] = new boolean[2];
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  public HasFoo vee;
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  public Base foo(Base z) {
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    return z;
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  }
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}
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public class Ext extends Base {
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  public int vee;
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  public Ext foo(Base z) {
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    ((Ext)z).vee = 1;
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    return null;
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  }
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}
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public class Main {
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  public static void main(String args[]) throws Throwable {
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    Base e = new Ext();
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    try {e.foo(null); }
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    catch(NullPointerException z) { 
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      while(Ext.arr[2]) ;
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    }
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  }
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}
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\end{verbatim}
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*}
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declare widen.null [intro]
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lemma wf_fdecl_def2: "\<And>fd. wf_fdecl G P fd = is_acc_type G P (type (snd fd))"
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apply (unfold wf_fdecl_def)
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apply (simp (no_asm))
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done
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declare wf_fdecl_def2 [iff]
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section "type and expression names"
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(** unfortunately cannot simply instantiate tnam **)
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datatype tnam_  = HasFoo_ | Base_ | Ext_ | Main_
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datatype vnam_  = arr_ | vee_ | z_ | e_
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datatype label_ = lab1_
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consts
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  tnam_ :: "tnam_  \<Rightarrow> tnam"
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  vnam_ :: "vnam_  \<Rightarrow> vname"
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  label_:: "label_ \<Rightarrow> label"
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axioms  (** tnam_, vnam_ and label are intended to be isomorphic 
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            to tnam, vname and label **)
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  inj_tnam_  [simp]: "(tnam_  x = tnam_  y) = (x = y)"
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  inj_vnam_  [simp]: "(vnam_  x = vnam_  y) = (x = y)"
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  inj_label_ [simp]: "(label_ x = label_ y) = (x = y)"
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  surj_tnam_:  "\<exists>m. n = tnam_  m"
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  surj_vnam_:  "\<exists>m. n = vnam_  m"
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  surj_label_:" \<exists>m. n = label_ m"
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syntax
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  HasFoo :: qtname
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  Base   :: qtname
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  Ext    :: qtname
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  Main   :: qtname
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  arr :: ename
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  vee :: ename
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  z   :: ename
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  e   :: ename
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  lab1:: label
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translations
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  "HasFoo" == "\<lparr>pid=java_lang,tid=TName (tnam_ HasFoo_)\<rparr>"
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  "Base"   == "\<lparr>pid=java_lang,tid=TName (tnam_ Base_)\<rparr>"
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  "Ext"    == "\<lparr>pid=java_lang,tid=TName (tnam_ Ext_)\<rparr>"
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  "Main"   == "\<lparr>pid=java_lang,tid=TName (tnam_ Main_)\<rparr>"
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  "arr"    ==        "(vnam_ arr_)"
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  "vee"    ==        "(vnam_ vee_)"
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  "z"      ==        "(vnam_ z_)"
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  "e"      ==        "(vnam_ e_)"
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  "lab1"   ==        "label_ lab1_"
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lemma neq_Base_Object [simp]: "Base\<noteq>Object"
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by (simp add: Object_def)
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lemma neq_Ext_Object [simp]: "Ext\<noteq>Object"
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by (simp add: Object_def)
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lemma neq_Main_Object [simp]: "Main\<noteq>Object"
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by (simp add: Object_def)
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lemma neq_Base_SXcpt [simp]: "Base\<noteq>SXcpt xn"
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by (simp add: SXcpt_def)
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lemma neq_Ext_SXcpt [simp]: "Ext\<noteq>SXcpt xn"
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by (simp add: SXcpt_def)
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lemma neq_Main_SXcpt [simp]: "Main\<noteq>SXcpt xn"
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by (simp add: SXcpt_def)
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section "classes and interfaces"
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defs
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  Object_mdecls_def: "Object_mdecls \<equiv> []"
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  SXcpt_mdecls_def:  "SXcpt_mdecls  \<equiv> []"
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consts
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  foo    :: mname
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constdefs
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  foo_sig   :: sig
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 "foo_sig   \<equiv> \<lparr>name=foo,parTs=[Class Base]\<rparr>"
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  foo_mhead :: mhead
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 "foo_mhead \<equiv> \<lparr>access=Public,static=False,pars=[z],resT=Class Base\<rparr>"
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constdefs
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  Base_foo :: mdecl
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 "Base_foo \<equiv> (foo_sig, \<lparr>access=Public,static=False,pars=[z],resT=Class Base,
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                        mbody=\<lparr>lcls=[],stmt=Return (!!z)\<rparr>\<rparr>)"
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constdefs
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  Ext_foo  :: mdecl
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 "Ext_foo  \<equiv> (foo_sig, 
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              \<lparr>access=Public,static=False,pars=[z],resT=Class Ext,
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	       mbody=\<lparr>lcls=[]
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                     ,stmt=Expr({Ext,Ext,False}Cast (Class Ext) (!!z)..vee := 
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       	                                                     Lit (Intg 1)) ;;
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                                Return (Lit Null)\<rparr>
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	      \<rparr>)"
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constdefs
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arr_viewed_from :: "qtname \<Rightarrow> qtname \<Rightarrow> var"
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"arr_viewed_from accC C \<equiv> {accC,Base,True}StatRef (ClassT C)..arr"
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BaseCl :: class
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"BaseCl \<equiv> \<lparr>access=Public,
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           cfields=[(arr, \<lparr>access=Public,static=True ,type=PrimT Boolean.[]\<rparr>),
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	            (vee, \<lparr>access=Public,static=False,type=Iface HasFoo    \<rparr>)],
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           methods=[Base_foo],
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           init=Expr(arr_viewed_from Base Base 
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                     :=New (PrimT Boolean)[Lit (Intg 2)]),
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           super=Object,
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           superIfs=[HasFoo]\<rparr>"
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ExtCl  :: class
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"ExtCl  \<equiv> \<lparr>access=Public,
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           cfields=[(vee, \<lparr>access=Public,static=False,type= PrimT Integer\<rparr>)], 
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           methods=[Ext_foo],
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           init=Skip,
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           super=Base,
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           superIfs=[]\<rparr>"
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MainCl :: class
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"MainCl \<equiv> \<lparr>access=Public,
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           cfields=[], 
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           methods=[], 
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           init=Skip,
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           super=Object,
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           superIfs=[]\<rparr>"
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(* The "main" method is modeled seperately (see tprg) *)
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constdefs
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  HasFooInt :: iface
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 "HasFooInt \<equiv> \<lparr>access=Public,imethods=[(foo_sig, foo_mhead)],isuperIfs=[]\<rparr>"
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  Ifaces ::"idecl list"
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 "Ifaces \<equiv> [(HasFoo,HasFooInt)]"
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 "Classes" ::"cdecl list"
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 "Classes \<equiv> [(Base,BaseCl),(Ext,ExtCl),(Main,MainCl)]@standard_classes"
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lemmas table_classes_defs = 
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     Classes_def standard_classes_def ObjectC_def SXcptC_def
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lemma table_ifaces [simp]: "table_of Ifaces = empty(HasFoo\<mapsto>HasFooInt)"
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apply (unfold Ifaces_def)
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apply (simp (no_asm))
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done
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lemma table_classes_Object [simp]: 
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 "table_of Classes Object = Some \<lparr>access=Public,cfields=[]
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                                 ,methods=Object_mdecls
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                                 ,init=Skip,super=arbitrary,superIfs=[]\<rparr>"
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apply (unfold table_classes_defs)
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apply (simp (no_asm) add:Object_def)
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done
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lemma table_classes_SXcpt [simp]: 
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  "table_of Classes (SXcpt xn) 
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    = Some \<lparr>access=Public,cfields=[],methods=SXcpt_mdecls,
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            init=Skip,
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            super=if xn = Throwable then Object else SXcpt Throwable,
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            superIfs=[]\<rparr>"
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apply (unfold table_classes_defs)
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apply (induct_tac xn)
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apply (simp add: Object_def SXcpt_def)+
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done
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lemma table_classes_HasFoo [simp]: "table_of Classes HasFoo = None"
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apply (unfold table_classes_defs)
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apply (simp (no_asm) add: Object_def SXcpt_def)
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done
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lemma table_classes_Base [simp]: "table_of Classes Base = Some BaseCl"
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apply (unfold table_classes_defs )
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apply (simp (no_asm) add: Object_def SXcpt_def)
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done
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lemma table_classes_Ext [simp]: "table_of Classes Ext = Some ExtCl"
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apply (unfold table_classes_defs )
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apply (simp (no_asm) add: Object_def SXcpt_def)
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done
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lemma table_classes_Main [simp]: "table_of Classes Main = Some MainCl"
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apply (unfold table_classes_defs )
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apply (simp (no_asm) add: Object_def SXcpt_def)
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done
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section "program"
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syntax
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  tprg :: prog
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translations
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  "tprg" == "\<lparr>ifaces=Ifaces,classes=Classes\<rparr>"
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constdefs
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  test    :: "(ty)list \<Rightarrow> stmt"
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 "test pTs \<equiv> e:==NewC Ext;; 
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           \<spacespace> Try Expr({Main,ClassT Base,IntVir}!!e\<cdot>foo({pTs}[Lit Null]))
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           \<spacespace> Catch((SXcpt NullPointer) z)
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           (lab1\<bullet> While(Acc 
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                        (Acc (arr_viewed_from Main Ext).[Lit (Intg 2)])) Skip)"
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section "well-structuredness"
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lemma not_Object_subcls_any [elim!]: "(Object, C) \<in> (subcls1 tprg)^+ \<Longrightarrow> R"
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apply (auto dest!: tranclD subcls1D)
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done
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lemma not_Throwable_subcls_SXcpt [elim!]: 
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  "(SXcpt Throwable, SXcpt xn) \<in> (subcls1 tprg)^+ \<Longrightarrow> R"
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apply (auto dest!: tranclD subcls1D) 
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apply (simp add: Object_def SXcpt_def)
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done
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lemma not_SXcpt_n_subcls_SXcpt_n [elim!]: 
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  "(SXcpt xn, SXcpt xn)  \<in> (subcls1 tprg)^+ \<Longrightarrow> R"
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apply (auto dest!: tranclD subcls1D)
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apply (drule rtranclD)
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apply auto
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done
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lemma not_Base_subcls_Ext [elim!]: "(Base, Ext) \<in> (subcls1 tprg)^+  \<Longrightarrow> R"
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apply (auto dest!: tranclD subcls1D simp add: BaseCl_def)
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done
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lemma not_TName_n_subcls_TName_n [rule_format (no_asm), elim!]: 
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  "(\<lparr>pid=java_lang,tid=TName tn\<rparr>, \<lparr>pid=java_lang,tid=TName tn\<rparr>) 
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   \<in> (subcls1 tprg)^+ \<longrightarrow> R"
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apply (rule_tac n1 = "tn" in surj_tnam_ [THEN exE])
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apply (erule ssubst)
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apply (rule tnam_.induct)
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apply  safe
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apply (auto dest!: tranclD subcls1D simp add: BaseCl_def ExtCl_def MainCl_def)
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apply (drule rtranclD)
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apply auto
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done
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lemma ws_idecl_HasFoo: "ws_idecl tprg HasFoo []"
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apply (unfold ws_idecl_def)
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apply (simp (no_asm))
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done
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lemma ws_cdecl_Object: "ws_cdecl tprg Object any"
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apply (unfold ws_cdecl_def)
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apply auto
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done
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lemma ws_cdecl_Throwable: "ws_cdecl tprg (SXcpt Throwable) Object"
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apply (unfold ws_cdecl_def)
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apply auto
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done
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lemma ws_cdecl_SXcpt: "ws_cdecl tprg (SXcpt xn) (SXcpt Throwable)"
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apply (unfold ws_cdecl_def)
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apply auto
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done
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lemma ws_cdecl_Base: "ws_cdecl tprg Base Object"
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apply (unfold ws_cdecl_def)
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apply auto
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done
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lemma ws_cdecl_Ext: "ws_cdecl tprg Ext Base"
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apply (unfold ws_cdecl_def)
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apply auto
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done
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lemma ws_cdecl_Main: "ws_cdecl tprg Main Object"
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   341
apply (unfold ws_cdecl_def)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   342
apply auto
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   343
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   344
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   345
lemmas ws_cdecls = ws_cdecl_SXcpt ws_cdecl_Object ws_cdecl_Throwable
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   346
                   ws_cdecl_Base ws_cdecl_Ext ws_cdecl_Main
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   347
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   348
declare not_Object_subcls_any [rule del]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   349
          not_Throwable_subcls_SXcpt [rule del] 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   350
          not_SXcpt_n_subcls_SXcpt_n [rule del] 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   351
          not_Base_subcls_Ext [rule del] not_TName_n_subcls_TName_n [rule del]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   352
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   353
lemma ws_idecl_all: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   354
 "G=tprg \<Longrightarrow> (\<forall>(I,i)\<in>set Ifaces. ws_idecl G I (isuperIfs i))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   355
apply (simp (no_asm) add: Ifaces_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   356
apply (auto intro!: ws_idecl_HasFoo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   357
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   358
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   359
lemma ws_cdecl_all: "G=tprg \<Longrightarrow> (\<forall>(C,c)\<in>set Classes. ws_cdecl G C (super c))"
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   360
apply (simp (no_asm) add: Classes_def BaseCl_def ExtCl_def MainCl_def)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   361
apply (auto intro!: ws_cdecls simp add: standard_classes_def ObjectC_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   362
        SXcptC_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   363
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   364
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   365
lemma ws_tprg: "ws_prog tprg"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   366
apply (unfold ws_prog_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   367
apply (auto intro!: ws_idecl_all ws_cdecl_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   368
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   369
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   370
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   371
section "misc program properties (independent of well-structuredness)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   372
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   373
lemma single_iface [simp]: "is_iface tprg I = (I = HasFoo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   374
apply (unfold Ifaces_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   375
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   376
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   377
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   378
lemma empty_subint1 [simp]: "subint1 tprg = {}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   379
apply (unfold subint1_def Ifaces_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   380
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   381
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   382
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   383
lemma unique_ifaces: "unique Ifaces"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   384
apply (unfold Ifaces_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   385
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   386
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   387
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   388
lemma unique_classes: "unique Classes"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   389
apply (unfold table_classes_defs )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   390
apply (simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   391
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   392
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   393
lemma SXcpt_subcls_Throwable [simp]: "tprg\<turnstile>SXcpt xn\<preceq>\<^sub>C SXcpt Throwable"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   394
apply (rule SXcpt_subcls_Throwable_lemma)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   395
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   396
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   397
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   398
lemma Ext_subclseq_Base [simp]: "tprg\<turnstile>Ext \<preceq>\<^sub>C Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   399
apply (rule subcls_direct1)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   400
apply  (simp (no_asm) add: ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   401
apply  (simp add: Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   402
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   403
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   404
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   405
lemma Ext_subcls_Base [simp]: "tprg\<turnstile>Ext \<prec>\<^sub>C Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   406
apply (rule subcls_direct2)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   407
apply  (simp (no_asm) add: ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   408
apply  (simp add: Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   409
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   410
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   411
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   412
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   413
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   414
section "fields and method lookup"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   415
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   416
lemma fields_tprg_Object [simp]: "DeclConcepts.fields tprg Object = []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   417
by (rule ws_tprg [THEN fields_emptyI], force+)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   418
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   419
lemma fields_tprg_Throwable [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   420
  "DeclConcepts.fields tprg (SXcpt Throwable) = []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   421
by (rule ws_tprg [THEN fields_emptyI], force+)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   422
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   423
lemma fields_tprg_SXcpt [simp]: "DeclConcepts.fields tprg (SXcpt xn) = []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   424
apply (case_tac "xn = Throwable")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   425
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   426
by (rule ws_tprg [THEN fields_emptyI], force+)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   427
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   428
lemmas fields_rec_ = fields_rec [OF _ ws_tprg]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   429
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   430
lemma fields_Base [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   431
"DeclConcepts.fields tprg Base 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   432
  = [((arr,Base), \<lparr>access=Public,static=True ,type=PrimT Boolean.[]\<rparr>),
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   433
     ((vee,Base), \<lparr>access=Public,static=False,type=Iface HasFoo    \<rparr>)]"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   434
apply (subst fields_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   435
apply   (auto simp add: BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   436
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   437
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   438
lemma fields_Ext [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   439
 "DeclConcepts.fields tprg Ext  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   440
  = [((vee,Ext), \<lparr>access=Public,static=False,type= PrimT Integer\<rparr>)] 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   441
    @ DeclConcepts.fields tprg Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   442
apply (rule trans)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   443
apply (rule fields_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   444
apply   (auto simp add: ExtCl_def Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   445
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   446
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   447
lemmas imethds_rec_ = imethds_rec [OF _ ws_tprg]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   448
lemmas methd_rec_  = methd_rec  [OF _ ws_tprg]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   449
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   450
lemma imethds_HasFoo [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   451
  "imethds tprg HasFoo = o2s \<circ> empty(foo_sig\<mapsto>(HasFoo, foo_mhead))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   452
apply (rule trans)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   453
apply (rule imethds_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   454
apply  (auto simp add: HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   455
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   456
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   457
lemma methd_tprg_Object [simp]: "methd tprg Object = empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   458
apply (subst methd_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   459
apply (auto simp add: Object_mdecls_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   460
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   461
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   462
lemma methd_Base [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   463
  "methd tprg Base = table_of [(\<lambda>(s,m). (s, Base, m)) Base_foo]"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   464
apply (rule trans)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   465
apply (rule methd_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   466
apply   (auto simp add: BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   467
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   468
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   469
lemma memberid_Base_foo_simp [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   470
 "memberid (mdecl Base_foo) = mid foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   471
by (simp add: Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   472
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   473
lemma memberid_Ext_foo_simp [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   474
 "memberid (mdecl Ext_foo) = mid foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   475
by (simp add: Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   476
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   477
lemma Base_declares_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   478
  "tprg\<turnstile>mdecl Base_foo declared_in Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   479
by (auto simp add: declared_in_def cdeclaredmethd_def BaseCl_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   480
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   481
lemma foo_sig_not_undeclared_in_Base:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   482
  "\<not> tprg\<turnstile>mid foo_sig undeclared_in Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   483
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   484
  from Base_declares_foo
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   485
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   486
    by (auto dest!: declared_not_undeclared )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   487
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   488
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   489
lemma Ext_declares_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   490
  "tprg\<turnstile>mdecl Ext_foo declared_in Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   491
by (auto simp add: declared_in_def cdeclaredmethd_def ExtCl_def Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   492
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   493
lemma foo_sig_not_undeclared_in_Ext:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   494
  "\<not> tprg\<turnstile>mid foo_sig undeclared_in Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   495
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   496
  from Ext_declares_foo
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   497
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   498
    by (auto dest!: declared_not_undeclared )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   499
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   500
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   501
lemma Base_foo_not_inherited_in_Ext:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   502
 "\<not> tprg \<turnstile> Ext inherits (Base,mdecl Base_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   503
by (auto simp add: inherits_def foo_sig_not_undeclared_in_Ext)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   504
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   505
lemma Ext_method_inheritance:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   506
 "filter_tab (\<lambda>sig m. tprg \<turnstile> Ext inherits method sig m)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   507
     (empty(fst ((\<lambda>(s, m). (s, Base, m)) Base_foo)\<mapsto>
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   508
      snd ((\<lambda>(s, m). (s, Base, m)) Base_foo)))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   509
  = empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   510
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   511
  from Base_foo_not_inherited_in_Ext
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   512
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   513
    by (auto intro: filter_tab_all_False simp add: Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   514
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   515
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   516
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   517
lemma methd_Ext [simp]: "methd tprg Ext =   
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   518
  table_of [(\<lambda>(s,m). (s, Ext, m)) Ext_foo]"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   519
apply (rule trans)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   520
apply (rule methd_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   521
apply   (auto simp add: ExtCl_def Object_def Ext_method_inheritance)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   522
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   523
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   524
section "accessibility"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   525
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   526
lemma classesDefined: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   527
 "\<lbrakk>class tprg C = Some c; C\<noteq>Object\<rbrakk> \<Longrightarrow> \<exists> sc. class tprg (super c) = Some sc"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   528
apply (auto simp add: Classes_def standard_classes_def 
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   529
                      BaseCl_def ExtCl_def MainCl_def
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   530
                      SXcptC_def ObjectC_def) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   531
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   532
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   533
lemma superclassesBase [simp]: "superclasses tprg Base={Object}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   534
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   535
  have ws: "ws_prog tprg" by (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   536
  then show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   537
    by (auto simp add: superclasses_rec  BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   538
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   539
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   540
lemma superclassesExt [simp]: "superclasses tprg Ext={Base,Object}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   541
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   542
  have ws: "ws_prog tprg" by (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   543
  then show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   544
    by (auto simp add: superclasses_rec  ExtCl_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   545
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   546
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   547
lemma superclassesMain [simp]: "superclasses tprg Main={Object}"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   548
proof -
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   549
  have ws: "ws_prog tprg" by (rule ws_tprg)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   550
  then show ?thesis
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   551
    by (auto simp add: superclasses_rec  MainCl_def)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   552
qed
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   553
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   554
lemma HasFoo_accessible[simp]:"tprg\<turnstile>(Iface HasFoo) accessible_in P" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   555
by (simp add: accessible_in_RefT_simp is_public_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   556
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   557
lemma HasFoo_is_acc_iface[simp]: "is_acc_iface tprg P HasFoo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   558
by (simp add: is_acc_iface_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   559
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   560
lemma HasFoo_is_acc_type[simp]: "is_acc_type tprg P (Iface HasFoo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   561
by (simp add: is_acc_type_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   562
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   563
lemma Base_accessible[simp]:"tprg\<turnstile>(Class Base) accessible_in P" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   564
by (simp add: accessible_in_RefT_simp is_public_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   565
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   566
lemma Base_is_acc_class[simp]: "is_acc_class tprg P Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   567
by (simp add: is_acc_class_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   568
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   569
lemma Base_is_acc_type[simp]: "is_acc_type tprg P (Class Base)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   570
by (simp add: is_acc_type_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   571
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   572
lemma Ext_accessible[simp]:"tprg\<turnstile>(Class Ext) accessible_in P" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   573
by (simp add: accessible_in_RefT_simp is_public_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   574
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   575
lemma Ext_is_acc_class[simp]: "is_acc_class tprg P Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   576
by (simp add: is_acc_class_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   577
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   578
lemma Ext_is_acc_type[simp]: "is_acc_type tprg P (Class Ext)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   579
by (simp add: is_acc_type_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   580
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   581
lemma accmethd_tprg_Object [simp]: "accmethd tprg S Object = empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   582
apply (unfold accmethd_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   583
apply (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   584
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   585
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   586
lemma  snd_special_simp: "snd ((\<lambda>(s, m). (s, a, m)) x) = (a,snd x)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   587
by (cases x) (auto)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   588
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   589
lemma  fst_special_simp: "fst ((\<lambda>(s, m). (s, a, m)) x) = fst x"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   590
by (cases x) (auto)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   591
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   592
lemma foo_sig_undeclared_in_Object:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   593
  "tprg\<turnstile>mid foo_sig undeclared_in Object"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   594
by (auto simp add: undeclared_in_def cdeclaredmethd_def Object_mdecls_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   595
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   596
lemma unique_sig_Base_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   597
 "tprg\<turnstile> mdecl (sig, snd Base_foo) declared_in Base \<Longrightarrow> sig=foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   598
by (auto simp add: declared_in_def cdeclaredmethd_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   599
                   Base_foo_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   600
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   601
lemma Base_foo_no_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   602
 "tprg,sig\<turnstile>(Base,(snd Base_foo)) overrides old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   603
apply (drule overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   604
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   605
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   606
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   607
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   608
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   609
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   610
apply (frule unique_sig_Base_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   611
apply (auto dest!: declared_not_undeclared intro: foo_sig_undeclared_in_Object
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   612
            dest: unique_sig_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   613
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   614
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   615
lemma Base_foo_no_stat_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   616
 "tprg,sig\<turnstile>(Base,(snd Base_foo)) overrides\<^sub>S old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   617
apply (drule stat_overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   618
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   619
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   620
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   621
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   622
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   623
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   624
apply (frule unique_sig_Base_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   625
apply (auto dest!: declared_not_undeclared intro: foo_sig_undeclared_in_Object
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   626
            dest: unique_sig_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   627
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   628
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   629
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   630
lemma Base_foo_no_hide:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   631
 "tprg,sig\<turnstile>(Base,(snd Base_foo)) hides old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   632
by (auto dest: hidesD simp add: Base_foo_def member_is_static_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   633
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   634
lemma Ext_foo_no_hide:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   635
 "tprg,sig\<turnstile>(Ext,(snd Ext_foo)) hides old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   636
by (auto dest: hidesD simp add: Ext_foo_def member_is_static_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   637
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   638
lemma unique_sig_Ext_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   639
 "tprg\<turnstile> mdecl (sig, snd Ext_foo) declared_in Ext \<Longrightarrow> sig=foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   640
by (auto simp add: declared_in_def cdeclaredmethd_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   641
                   Ext_foo_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   642
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   643
lemma Ext_foo_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   644
 "tprg,sig\<turnstile>(Ext,(snd Ext_foo)) overrides old 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   645
  \<Longrightarrow> old = (Base,(snd Base_foo))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   646
apply (drule overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   647
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   648
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   649
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   650
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   651
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   652
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   653
apply (frule unique_sig_Ext_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   654
apply (case_tac "old")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   655
apply (insert Base_declares_foo foo_sig_undeclared_in_Object) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   656
apply (auto simp add: ExtCl_def Ext_foo_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   657
                      BaseCl_def Base_foo_def Object_mdecls_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   658
                      split_paired_all
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   659
                      member_is_static_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   660
           dest: declared_not_undeclared unique_declaration)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   661
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   662
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   663
lemma Ext_foo_stat_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   664
 "tprg,sig\<turnstile>(Ext,(snd Ext_foo)) overrides\<^sub>S old 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   665
  \<Longrightarrow> old = (Base,(snd Base_foo))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   666
apply (drule stat_overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   667
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   668
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   669
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   670
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   671
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   672
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   673
apply (frule unique_sig_Ext_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   674
apply (case_tac "old")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   675
apply (insert Base_declares_foo foo_sig_undeclared_in_Object) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   676
apply (auto simp add: ExtCl_def Ext_foo_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   677
                      BaseCl_def Base_foo_def Object_mdecls_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   678
                      split_paired_all
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   679
                      member_is_static_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   680
           dest: declared_not_undeclared unique_declaration)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   681
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   682
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   683
lemma Base_foo_member_of_Base: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   684
  "tprg\<turnstile>(Base,mdecl Base_foo) member_of Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   685
by (auto intro!: members.Immediate Base_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   686
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   687
lemma Base_foo_member_in_Base: 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   688
  "tprg\<turnstile>(Base,mdecl Base_foo) member_in Base"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   689
by (rule member_of_to_member_in [OF Base_foo_member_of_Base])
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   690
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   691
lemma Ext_foo_member_of_Ext: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   692
  "tprg\<turnstile>(Ext,mdecl Ext_foo) member_of Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   693
by (auto intro!: members.Immediate Ext_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   694
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   695
lemma Ext_foo_member_in_Ext: 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   696
  "tprg\<turnstile>(Ext,mdecl Ext_foo) member_in Ext"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   697
by (rule member_of_to_member_in [OF Ext_foo_member_of_Ext])
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   698
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   699
lemma Base_foo_permits_acc:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   700
 "tprg \<turnstile> (Base, mdecl Base_foo) in Base permits_acc_to S"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   701
by ( simp add: permits_acc_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   702
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   703
lemma Base_foo_accessible [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   704
 "tprg\<turnstile>(Base,mdecl Base_foo) of Base accessible_from S"
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   705
by (auto intro: accessible_fromR.Immediate 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   706
                Base_foo_member_of_Base Base_foo_permits_acc)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   707
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   708
lemma Base_foo_dyn_accessible [simp]:
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   709
 "tprg\<turnstile>(Base,mdecl Base_foo) in Base dyn_accessible_from S"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   710
apply (rule dyn_accessible_fromR.Immediate)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   711
apply   (rule Base_foo_member_in_Base)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   712
apply   (rule Base_foo_permits_acc)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   713
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   714
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   715
lemma accmethd_Base [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   716
  "accmethd tprg S Base = methd tprg Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   717
apply (simp add: accmethd_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   718
apply (rule filter_tab_all_True)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   719
apply (simp add: snd_special_simp fst_special_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   720
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   721
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   722
lemma Ext_foo_permits_acc:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   723
 "tprg \<turnstile> (Ext, mdecl Ext_foo) in Ext permits_acc_to S"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   724
by ( simp add: permits_acc_def Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   725
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   726
lemma Ext_foo_accessible [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   727
 "tprg\<turnstile>(Ext,mdecl Ext_foo) of Ext accessible_from S"
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   728
by (auto intro: accessible_fromR.Immediate 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   729
                Ext_foo_member_of_Ext Ext_foo_permits_acc)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   730
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   731
lemma Ext_foo_dyn_accessible [simp]:
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   732
 "tprg\<turnstile>(Ext,mdecl Ext_foo) in Ext dyn_accessible_from S"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   733
apply (rule dyn_accessible_fromR.Immediate) 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   734
apply   (rule Ext_foo_member_in_Ext)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   735
apply   (rule Ext_foo_permits_acc)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   736
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   737
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   738
lemma Ext_foo_overrides_Base_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   739
 "tprg\<turnstile>(Ext,Ext_foo) overrides (Base,Base_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   740
proof (rule overridesR.Direct, simp_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   741
  show "\<not> is_static Ext_foo" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   742
    by (simp add: member_is_static_simp Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   743
  show "\<not> is_static Base_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   744
    by (simp add: member_is_static_simp Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   745
  show "accmodi Ext_foo \<noteq> Private"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   746
    by (simp add: Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   747
  show "msig (Ext, Ext_foo) = msig (Base, Base_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   748
    by (simp add: Ext_foo_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   749
  show "tprg\<turnstile>mdecl Ext_foo declared_in Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   750
    by (auto intro: Ext_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   751
  show "tprg\<turnstile>mdecl Base_foo declared_in Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   752
    by (auto intro: Base_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   753
  show "tprg \<turnstile>(Base, mdecl Base_foo) inheritable_in java_lang"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   754
    by (simp add: inheritable_in_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   755
  show "tprg\<turnstile>resTy Ext_foo\<preceq>resTy Base_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   756
    by (simp add: Ext_foo_def Base_foo_def mhead_resTy_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   757
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   758
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   759
lemma accmethd_Ext [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   760
  "accmethd tprg S Ext = methd tprg Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   761
apply (simp add: accmethd_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   762
apply (rule filter_tab_all_True)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   763
apply (auto simp add: snd_special_simp fst_special_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   764
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   765
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   766
lemma cls_Ext: "class tprg Ext = Some ExtCl"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   767
by simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   768
lemma dynmethd_Ext_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   769
 "dynmethd tprg Base Ext \<lparr>name = foo, parTs = [Class Base]\<rparr> 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   770
  = Some (Ext,snd Ext_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   771
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   772
  have "methd tprg Base \<lparr>name = foo, parTs = [Class Base]\<rparr> 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   773
          = Some (Base,snd Base_foo)" and
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   774
       "methd tprg Ext \<lparr>name = foo, parTs = [Class Base]\<rparr> 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   775
          = Some (Ext,snd Ext_foo)" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   776
    by (auto simp add: Ext_foo_def Base_foo_def foo_sig_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   777
  with cls_Ext ws_tprg Ext_foo_overrides_Base_foo
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   778
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   779
    by (auto simp add: dynmethd_rec simp add: Ext_foo_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   780
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   781
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   782
lemma Base_fields_accessible[simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   783
 "accfield tprg S Base 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   784
  = table_of((map (\<lambda>((n,d),f).(n,(d,f)))) (DeclConcepts.fields tprg Base))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   785
apply (auto simp add: accfield_def expand_fun_eq Let_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   786
                      accessible_in_RefT_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   787
                      is_public_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   788
                      BaseCl_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   789
                      permits_acc_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   790
                      declared_in_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   791
                      cdeclaredfield_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   792
               intro!: filter_tab_all_True_Some filter_tab_None
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   793
                       accessible_fromR.Immediate
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   794
               intro: members.Immediate)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   795
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   796
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   797
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   798
lemma arr_member_of_Base:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   799
  "tprg\<turnstile>(Base, fdecl (arr, 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   800
                 \<lparr>access = Public, static = True, type = PrimT Boolean.[]\<rparr>))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   801
          member_of Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   802
by (auto intro: members.Immediate 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   803
       simp add: declared_in_def cdeclaredfield_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   804
 
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   805
lemma arr_member_in_Base:
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   806
  "tprg\<turnstile>(Base, fdecl (arr, 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   807
                 \<lparr>access = Public, static = True, type = PrimT Boolean.[]\<rparr>))
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   808
          member_in Base"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   809
by (rule member_of_to_member_in [OF arr_member_of_Base])
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   810
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   811
lemma arr_member_of_Ext:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   812
  "tprg\<turnstile>(Base, fdecl (arr, 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   813
                    \<lparr>access = Public, static = True, type = PrimT Boolean.[]\<rparr>))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   814
             member_of Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   815
apply (rule members.Inherited)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   816
apply   (simp add: inheritable_in_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   817
apply   (simp add: undeclared_in_def cdeclaredfield_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   818
apply   (auto intro: arr_member_of_Base simp add: subcls1_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   819
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   820
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   821
lemma arr_member_in_Ext:
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   822
  "tprg\<turnstile>(Base, fdecl (arr, 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   823
                 \<lparr>access = Public, static = True, type = PrimT Boolean.[]\<rparr>))
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   824
          member_in Ext"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   825
by (rule member_of_to_member_in [OF arr_member_of_Ext])
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   826
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   827
lemma Ext_fields_accessible[simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   828
"accfield tprg S Ext 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   829
  = table_of((map (\<lambda>((n,d),f).(n,(d,f)))) (DeclConcepts.fields tprg Ext))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   830
apply (auto simp add: accfield_def expand_fun_eq Let_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   831
                      accessible_in_RefT_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   832
                      is_public_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   833
                      BaseCl_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   834
                      ExtCl_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   835
                      permits_acc_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   836
               intro!: filter_tab_all_True_Some filter_tab_None
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   837
                       accessible_fromR.Immediate)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   838
apply (auto intro: members.Immediate arr_member_of_Ext
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   839
            simp add: declared_in_def cdeclaredfield_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   840
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   841
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   842
lemma arr_Base_dyn_accessible [simp]:
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   843
"tprg\<turnstile>(Base, fdecl (arr, \<lparr>access=Public,static=True ,type=PrimT Boolean.[]\<rparr>)) 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   844
       in Base dyn_accessible_from S"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   845
apply (rule dyn_accessible_fromR.Immediate)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   846
apply   (rule arr_member_in_Base)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   847
apply   (simp add: permits_acc_def)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   848
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   849
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   850
lemma arr_Ext_dyn_accessible[simp]:
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   851
"tprg\<turnstile>(Base, fdecl (arr, \<lparr>access=Public,static=True ,type=PrimT Boolean.[]\<rparr>)) 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   852
       in Ext dyn_accessible_from S"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   853
apply (rule dyn_accessible_fromR.Immediate)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   854
apply   (rule arr_member_in_Ext)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   855
apply   (simp add: permits_acc_def)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   856
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   857
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   858
lemma array_of_PrimT_acc [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   859
 "is_acc_type tprg java_lang (PrimT t.[])"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   860
apply (simp add: is_acc_type_def accessible_in_RefT_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   861
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   862
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   863
lemma PrimT_acc [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   864
 "is_acc_type tprg java_lang (PrimT t)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   865
apply (simp add: is_acc_type_def accessible_in_RefT_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   866
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   867
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   868
lemma Object_acc [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   869
 "is_acc_class tprg java_lang Object"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   870
apply (auto simp add: is_acc_class_def accessible_in_RefT_simp is_public_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   871
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   872
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   873
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   874
section "well-formedness"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   875
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   876
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   877
lemma wf_HasFoo: "wf_idecl tprg (HasFoo, HasFooInt)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   878
apply (unfold wf_idecl_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   879
apply (auto intro!: wf_mheadI ws_idecl_HasFoo 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   880
            simp add: foo_sig_def foo_mhead_def mhead_resTy_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   881
                      member_is_static_simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   882
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   883
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   884
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   885
declare member_is_static_simp [simp]
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   886
declare wt.Skip [rule del] wt.Init [rule del]
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   887
ML {* bind_thms ("wt_intros",map (rewrite_rule [id_def]) (thms "wt.intros")) *}
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   888
lemmas wtIs = wt_Call wt_Super wt_FVar wt_StatRef wt_intros
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   889
lemmas daIs = assigned.select_convs da_Skip da_NewC da_Lit da_Super da.intros
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   890
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   891
lemmas Base_foo_defs = Base_foo_def foo_sig_def foo_mhead_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   892
lemmas Ext_foo_defs  = Ext_foo_def  foo_sig_def
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   893
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   894
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   895
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   896
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   897
lemma wf_Base_foo: "wf_mdecl tprg Base Base_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   898
apply (unfold Base_foo_defs )
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   899
apply (auto intro!: wf_mdeclI wf_mheadI intro!: wtIs 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   900
            simp add: mhead_resTy_simp)
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   901
(* for definite assignment *)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   902
apply (rule exI)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   903
apply (simp add: parameters_def)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   904
apply (rule conjI)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   905
apply  (rule da.Comp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   906
apply     (rule da.Expr)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   907
apply     (rule da.AssLVar)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   908
apply       (rule da.AccLVar)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   909
apply         (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   910
apply        (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   911
apply       (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   912
apply      (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   913
apply     (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   914
apply    (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   915
apply    (rule da.Jmp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   916
apply      (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   917
apply     (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   918
apply    (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   919
apply   (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   920
apply  (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   921
apply (simp)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   922
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   923
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   924
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   925
lemma wf_Ext_foo: "wf_mdecl tprg Ext Ext_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   926
apply (unfold Ext_foo_defs )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   927
apply (auto intro!: wf_mdeclI wf_mheadI intro!: wtIs 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   928
            simp add: mhead_resTy_simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   929
apply  (rule wt.Cast)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   930
prefer 2
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   931
apply    simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   932
apply   (rule_tac [2] narrow.subcls [THEN cast.narrow])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   933
apply   (auto intro!: wtIs)
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   934
(* for definite assignment *)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   935
apply (rule exI)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   936
apply (simp add: parameters_def)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   937
apply (rule conjI)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   938
apply  (rule da.Comp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   939
apply     (rule da.Expr)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   940
apply     (rule da.Ass)   
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   941
apply       simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   942
apply      (rule da.FVar)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   943
apply      (rule da.Cast)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   944
apply      (rule da.AccLVar)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   945
apply        simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   946
apply       (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   947
apply      simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   948
apply     (rule da_Lit)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   949
apply     (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   950
apply    (rule da.Comp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   951
apply       (rule da.Expr)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   952
apply       (rule da.AssLVar)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   953
apply         (rule da.Lit)                  
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   954
apply        (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   955
apply       simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   956
apply      (rule da.Jmp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   957
apply        simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   958
apply       (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   959
apply      simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   960
apply     (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   961
apply    (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   962
apply   (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   963
apply  simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   964
apply simp
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   965
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   966
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   967
declare mhead_resTy_simp [simp add]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   968
declare member_is_static_simp [simp add]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   969
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   970
lemma wf_BaseC: "wf_cdecl tprg (Base,BaseCl)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   971
apply (unfold wf_cdecl_def BaseCl_def arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   972
apply (auto intro!: wf_Base_foo)
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   973
apply        (auto intro!: ws_cdecl_Base simp add: Base_foo_def foo_mhead_def)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   974
apply   (auto intro!: wtIs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   975
(* for definite assignment *)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   976
apply   (rule exI)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   977
apply   (rule da.Expr)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   978
apply  (rule da.Ass)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   979
apply    (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   980
apply   (rule da.FVar)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   981
apply   (rule da.Cast)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   982
apply   (rule da_Lit)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   983
apply   simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   984
apply  (rule da.NewA)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   985
apply  (rule da.Lit)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   986
apply (auto simp add: Base_foo_defs entails_def Let_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   987
apply   (insert Base_foo_no_stat_override, simp add: Base_foo_def,blast)+
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   988
apply (insert Base_foo_no_hide         , simp add: Base_foo_def,blast)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   989
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   990
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   991
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   992
lemma wf_ExtC: "wf_cdecl tprg (Ext,ExtCl)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   993
apply (unfold wf_cdecl_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   994
apply (auto intro!: wf_Ext_foo ws_cdecl_Ext)
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   995
apply  (auto simp add: entails_def snd_special_simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   996
apply      (insert Ext_foo_stat_override)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   997
apply      (rule exI,rule da.Skip)      
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   998
apply     (force simp add: qmdecl_def Ext_foo_def Base_foo_def)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   999
apply    (force simp add: qmdecl_def Ext_foo_def Base_foo_def)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1000
apply   (force simp add: qmdecl_def Ext_foo_def Base_foo_def)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1001
apply  (insert Ext_foo_no_hide)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1002
apply  (simp_all add: qmdecl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1003
apply  blast+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1004
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1005
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1006
lemma wf_MainC: "wf_cdecl tprg (Main,MainCl)"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1007
apply (unfold wf_cdecl_def MainCl_def)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1008
apply (auto intro: ws_cdecl_Main)
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1009
apply (rule exI,rule da.Skip)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1010
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1011
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1012
lemma wf_idecl_all: "p=tprg \<Longrightarrow> Ball (set Ifaces) (wf_idecl p)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1013
apply (simp (no_asm) add: Ifaces_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1014
apply (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1015
apply (rule wf_HasFoo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1016
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1017
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1018
lemma wf_cdecl_all_standard_classes: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1019
  "Ball (set standard_classes) (wf_cdecl tprg)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1020
apply (unfold standard_classes_def Let_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1021
       ObjectC_def SXcptC_def Object_mdecls_def SXcpt_mdecls_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1022
apply (simp (no_asm) add: wf_cdecl_def ws_cdecls)
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1023
apply (auto simp add:is_acc_class_def accessible_in_RefT_simp SXcpt_def 
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1024
            intro: da.Skip)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1025
apply (auto simp add: Object_def Classes_def standard_classes_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1026
                      SXcptC_def SXcpt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1027
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1028
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1029
lemma wf_cdecl_all: "p=tprg \<Longrightarrow> Ball (set Classes) (wf_cdecl p)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1030
apply (simp (no_asm) add: Classes_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1031
apply (simp (no_asm_simp))
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1032
apply    (rule wf_BaseC [THEN conjI])
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1033
apply   (rule wf_ExtC [THEN conjI])
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1034
apply  (rule wf_MainC [THEN conjI])
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1035
apply (rule wf_cdecl_all_standard_classes)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1036
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1037
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1038
theorem wf_tprg: "wf_prog tprg"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1039
apply (unfold wf_prog_def Let_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1040
apply (simp (no_asm) add: unique_ifaces unique_classes)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1041
apply (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1042
apply  ((simp (no_asm) add: Classes_def standard_classes_def))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1043
apply (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1044
apply (simp add: Object_mdecls_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1045
apply safe
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1046
apply  (cut_tac xn_cases)   
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1047
apply  (simp (no_asm_simp) add: Classes_def standard_classes_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1048
apply  (insert wf_idecl_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1049
apply  (insert wf_cdecl_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1050
apply  auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1051
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1052
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1053
section "max spec"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1054
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1055
lemma appl_methds_Base_foo: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1056
"appl_methds tprg S (ClassT Base) \<lparr>name=foo, parTs=[NT]\<rparr> =  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1057
  {((ClassT Base, \<lparr>access=Public,static=False,pars=[z],resT=Class Base\<rparr>)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1058
    ,[Class Base])}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1059
apply (unfold appl_methds_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1060
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1061
apply (subgoal_tac "tprg\<turnstile>NT\<preceq> Class Base")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1062
apply  (auto simp add: cmheads_def Base_foo_defs)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1063
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1064
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1065
lemma max_spec_Base_foo: "max_spec tprg S (ClassT Base) \<lparr>name=foo,parTs=[NT]\<rparr> = 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1066
  {((ClassT Base, \<lparr>access=Public,static=False,pars=[z],resT=Class Base\<rparr>)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1067
   , [Class Base])}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1068
apply (unfold max_spec_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1069
apply (simp (no_asm) add: appl_methds_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1070
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1071
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1072
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1073
section "well-typedness"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1074
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1075
lemma wt_test: "\<lparr>prg=tprg,cls=Main,lcl=empty(VName e\<mapsto>Class Base)\<rparr>\<turnstile>test ?pTs\<Colon>\<surd>"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1076
apply (unfold test_def arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1077
(* ?pTs = [Class Base] *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1078
apply (rule wtIs (* ;; *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1079
apply  (rule wtIs (* Ass *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1080
apply  (rule wtIs (* NewC *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1081
apply     (rule wtIs (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1082
apply      (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1083
apply     (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1084
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1085
apply   (rule wtIs (* NewC *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1086
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1087
apply  (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1088
apply (rule wtIs (* Try *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1089
prefer 4
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1090
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1091
defer
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1092
apply    (rule wtIs (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1093
apply    (rule wtIs (* Call *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1094
apply       (rule wtIs (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1095
apply       (rule wtIs (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1096
apply        (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1097
apply       (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1098
apply      (rule wtIs (* Cons *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1099
apply       (rule wtIs (* Lit *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1100
apply       (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1101
apply      (rule wtIs (* Nil *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1102
apply     (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1103
apply     (rule max_spec_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1104
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1105
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1106
apply  (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1107
apply  (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1108
apply  (simp)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1109
apply (rule wtIs (* While *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1110
apply  (rule wtIs (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1111
apply   (rule wtIs (* AVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1112
apply   (rule wtIs (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1113
apply   (rule wtIs (* FVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1114
apply    (rule wtIs (* StatRef *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1115
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1116
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1117
apply   (simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1118
apply   (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1119
apply   (simp)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1120
apply  (rule wtIs (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1121
apply  (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1122
apply (rule wtIs (* Skip *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1123
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1124
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1125
section "definite assignment"
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1126
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1127
lemma da_test: "\<lparr>prg=tprg,cls=Main,lcl=empty(VName e\<mapsto>Class Base)\<rparr>
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1128
                  \<turnstile>{} \<guillemotright>\<langle>test ?pTs\<rangle>\<guillemotright> \<lparr>nrm={VName e},brk=\<lambda> l. UNIV\<rparr>"
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1129
apply (unfold test_def arr_viewed_from_def)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1130
apply (rule da.Comp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1131
apply    (rule da.Expr)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1132
apply    (rule da.AssLVar)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1133
apply      (rule da.NewC)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1134
apply     (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1135
apply    (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1136
apply   (rule da.Try)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1137
apply      (rule da.Expr)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1138
apply      (rule da.Call)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1139
apply       (rule da.AccLVar)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1140
apply         (simp)   
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1141
apply        (rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1142
apply       (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1143
apply      (rule da.Cons)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1144
apply       (rule da.Lit)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1145
apply      (rule da.Nil)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1146
apply     (rule da.Loop)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1147
apply        (rule da.Acc)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1148
apply         (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1149
apply        (rule da.AVar)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1150
apply         (rule da.Acc)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1151
apply          simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1152
apply         (rule da.FVar)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1153
apply         (rule da.Cast)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1154
apply         (rule da.Lit)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1155
apply        (rule da.Lit)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1156
apply       (rule da_Skip)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1157
apply       (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1158
apply      (simp,rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1159
apply     (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1160
apply    (simp,rule assigned.select_convs)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1161
apply   (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1162
apply  simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1163
apply  blast
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1164
apply simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1165
apply (simp add: intersect_ts_def)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1166
done
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1167
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1168
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1169
section "execution"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1170
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1171
lemma alloc_one: "\<And>a obj. \<lbrakk>the (new_Addr h) = a; atleast_free h (Suc n)\<rbrakk> \<Longrightarrow>  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1172
  new_Addr h = Some a \<and> atleast_free (h(a\<mapsto>obj)) n"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1173
apply (frule atleast_free_SucD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1174
apply (drule atleast_free_Suc [THEN iffD1])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1175
apply clarsimp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1176
apply (frule new_Addr_SomeI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1177
apply force
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1178
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1179
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1180
declare fvar_def2 [simp] avar_def2 [simp] init_lvars_def2 [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1181
declare init_obj_def [simp] var_tys_def [simp] fields_table_def [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1182
declare BaseCl_def [simp] ExtCl_def [simp] Ext_foo_def [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1183
        Base_foo_defs  [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1184
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1185
ML {* bind_thms ("eval_intros", map 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1186
        (simplify (simpset() delsimps [thm "Skip_eq"]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1187
                             addsimps [thm "lvar_def"]) o 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1188
         rewrite_rule [thm "assign_def",Let_def]) (thms "eval.intros")) *}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1189
lemmas eval_Is = eval_Init eval_StatRef AbruptIs eval_intros
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1190
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1191
consts
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1192
  a :: loc
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1193
  b :: loc
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1194
  c :: loc
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1195
  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1196
syntax
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1197
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1198
  tprg :: prog
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1199
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1200
  obj_a :: obj
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1201
  obj_b :: obj
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1202
  obj_c :: obj
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1203
  arr_N :: "(vn, val) table"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1204
  arr_a :: "(vn, val) table"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1205
  globs1 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1206
  globs2 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1207
  globs3 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1208
  globs8 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1209
  locs3 :: locals
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1210
  locs4 :: locals
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1211
  locs8 :: locals
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1212
  s0  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1213
  s0' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1214
  s9' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1215
  s1  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1216
  s1' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1217
  s2  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1218
  s2' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1219
  s3  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1220
  s3' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1221
  s4  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1222
  s4' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1223
  s6' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1224
  s7' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1225
  s8  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1226
  s8' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1227
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1228
translations
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1229
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1230
  "tprg"    == "\<lparr>ifaces=Ifaces,classes=Classes\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1231
  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1232
  "obj_a"   <= "\<lparr>tag=Arr (PrimT Boolean) two
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1233
                ,values=empty(Inr 0\<mapsto>Bool False)(Inr one\<mapsto>Bool False)\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1234
  "obj_b"   <= "\<lparr>tag=CInst Ext
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1235
                ,values=(empty(Inl (vee, Base)\<mapsto>Null   ) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1236
			      (Inl (vee, Ext )\<mapsto>Intg 0))\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1237
  "obj_c"   == "\<lparr>tag=CInst (SXcpt NullPointer),values=empty\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1238
  "arr_N"   == "empty(Inl (arr, Base)\<mapsto>Null)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1239
  "arr_a"   == "empty(Inl (arr, Base)\<mapsto>Addr a)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1240
  "globs1"  == "empty(Inr Ext   \<mapsto>\<lparr>tag=arbitrary, values=empty\<rparr>)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1241
		     (Inr Base  \<mapsto>\<lparr>tag=arbitrary, values=arr_N\<rparr>)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1242
		     (Inr Object\<mapsto>\<lparr>tag=arbitrary, values=empty\<rparr>)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1243
  "globs2"  == "empty(Inr Ext   \<mapsto>\<lparr>tag=arbitrary, values=empty\<rparr>)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1244
		     (Inr Object\<mapsto>\<lparr>tag=arbitrary, values=empty\<rparr>)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1245
		     (Inl a\<mapsto>obj_a)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1246
		     (Inr Base  \<mapsto>\<lparr>tag=arbitrary, values=arr_a\<rparr>)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1247
  "globs3"  == "globs2(Inl b\<mapsto>obj_b)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1248
  "globs8"  == "globs3(Inl c\<mapsto>obj_c)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1249
  "locs3"   == "empty(VName e\<mapsto>Addr b)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1250
  "locs4"   == "empty(VName z\<mapsto>Null)(Inr()\<mapsto>Addr b)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1251
  "locs8"   == "locs3(VName z\<mapsto>Addr c)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1252
  "s0"  == "       st empty  empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1253
  "s0'" == " Norm  s0"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1254
  "s1"  == "       st globs1 empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1255
  "s1'" == " Norm  s1"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1256
  "s2"  == "       st globs2 empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1257
  "s2'" == " Norm  s2"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1258
  "s3"  == "       st globs3 locs3 "
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1259
  "s3'" == " Norm  s3"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1260
  "s4"  == "       st globs3 locs4"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1261
  "s4'" == " Norm  s4"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1262
  "s6'" == "(Some (Xcpt (Std NullPointer)), s4)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1263
  "s7'" == "(Some (Xcpt (Std NullPointer)), s3)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1264
  "s8"  == "       st globs8 locs8"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1265
  "s8'" == " Norm  s8"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1266
  "s9'" == "(Some (Xcpt (Std IndOutBound)), s8)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1267
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1268
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1269
syntax "four"::nat
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1270
       "tree"::nat
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1271
       "two" ::nat
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1272
       "one" ::nat
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1273
translations 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1274
  "one"  == "Suc 0"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1275
  "two"  == "Suc one"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1276
  "tree" == "Suc two"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1277
  "four" == "Suc tree"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1278
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1279
declare Pair_eq [simp del]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1280
lemma exec_test: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1281
"\<lbrakk>the (new_Addr (heap  s1)) = a;  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1282
  the (new_Addr (heap ?s2)) = b;  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1283
  the (new_Addr (heap ?s3)) = c\<rbrakk> \<Longrightarrow>  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1284
  atleast_free  (heap s0) four \<Longrightarrow>  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1285
  tprg\<turnstile>s0' \<midarrow>test [Class Base]\<rightarrow> ?s9'"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1286
apply (unfold test_def arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1287
(* ?s9' = s9' *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1288
apply (simp (no_asm_use))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1289
apply (drule (1) alloc_one,clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1290
apply (rule eval_Is (* ;; *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1291
apply  (erule_tac V = "the (new_Addr ?h) = c" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1292
apply  (erule_tac [2] V = "new_Addr ?h = Some a" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1293
apply  (erule_tac [2] V = "atleast_free ?h four" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1294
apply  (rule eval_Is (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1295
apply  (rule eval_Is (* Ass *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1296
apply   (rule eval_Is (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1297
apply  (rule eval_Is (* NewC *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1298
      (* begin init Ext *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1299
apply   (erule_tac V = "the (new_Addr ?h) = b" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1300
apply   (erule_tac V = "atleast_free ?h tree" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1301
apply   (erule_tac [2] V = "atleast_free ?h four" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1302
apply   (erule_tac [2] V = "new_Addr ?h = Some a" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1303
apply   (rule eval_Is (* Init Ext *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1304
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1305
apply   (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1306
prefer 2 apply (rule conjI HOL.refl)+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1307
apply   (rule eval_Is (* Init Base *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1308
apply   (simp add: arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1309
apply   (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1310
apply    (rule eval_Is (* Init Object *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1311
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1312
apply    (rule conjI, rule HOL.refl)+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1313
apply    (rule HOL.refl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1314
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1315
apply   (rule conjI, rule_tac [2] HOL.refl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1316
apply   (rule eval_Is (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1317
apply   (rule eval_Is (* Ass *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1318
apply    (rule eval_Is (* FVar *))
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1319
apply         (rule init_done, simp)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1320
apply        (rule eval_Is (* StatRef *))
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1321
apply       (simp)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1322
apply     (simp add: check_field_access_def Let_def) 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1323
apply   (rule eval_Is (* NewA *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1324
apply     (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1325
apply    (rule eval_Is (* Lit *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1326
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1327
apply   (rule halloc.New)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1328
apply    (simp (no_asm_simp))
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1329
apply   (drule atleast_free_weaken,drule atleast_free_weaken)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1330
apply   (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1331
apply  (simp add: upd_gobj_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1332
      (* end init Ext *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1333
apply  (rule halloc.New)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1334
apply   (drule alloc_one)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1335
prefer 2 apply fast
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1336
apply   (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1337
apply  (drule atleast_free_weaken)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1338
apply  force
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1339
apply (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1340
apply (drule alloc_one)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1341
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1342
apply clarsimp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1343
apply (erule_tac V = "atleast_free ?h tree" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1344
apply (drule_tac x = "a" in new_AddrD2 [THEN spec])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1345
apply (simp (no_asm_use))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1346
apply (rule eval_Is (* Try *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1347
apply   (rule eval_Is (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1348
      (* begin method call *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1349
apply   (rule eval_Is (* Call *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1350
apply      (rule eval_Is (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1351
apply      (rule eval_Is (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1352
apply     (rule eval_Is (* Cons *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1353
apply      (rule eval_Is (* Lit *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1354
apply     (rule eval_Is (* Nil *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1355
apply    (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1356
apply    (simp)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1357
apply    (subgoal_tac
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1358
             "tprg\<turnstile>(Ext,mdecl Ext_foo) in Ext dyn_accessible_from Main")
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1359
apply      (simp add: check_method_access_def Let_def
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1360
                      invocation_declclass_def dynlookup_def dynmethd_Ext_foo)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1361
apply      (rule Ext_foo_dyn_accessible)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1362
apply   (rule eval_Is (* Methd *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1363
apply   (simp add: body_def Let_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1364
apply   (rule eval_Is (* Body *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1365
apply     (rule init_done, simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1366
apply       (simp add: invocation_declclass_def dynlookup_def dynmethd_Ext_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1367
apply    (simp add: invocation_declclass_def dynlookup_def dynmethd_Ext_foo)
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1368
apply    (rule eval_Is (* Comp *))
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1369
apply     (rule eval_Is (* Expr *))
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1370
apply     (rule eval_Is (* Ass *))
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1371
apply      (rule eval_Is (* FVar *))
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1372
apply         (rule init_done, simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1373
apply        (rule eval_Is (* Cast *))
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1374
apply         (rule eval_Is (* Acc *))
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1375
apply         (rule eval_Is (* LVar *))
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1376
apply        (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1377
apply       (simp split del: split_if)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1378
apply      (simp add: check_field_access_def Let_def)
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1379
apply     (rule eval_Is (* XcptE *))
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1380
apply    (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1381
apply    (rule conjI)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1382
apply     (simp)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1383
apply    (rule eval_Is (* Comp *))
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1384
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1385
      (* end method call *)
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1386
apply  simp
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1387
apply  (rule sxalloc.intros)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1388
apply  (rule halloc.New)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1389
apply   (erule alloc_one [THEN conjunct1])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1390
apply   (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1391
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1392
apply (simp add: gupd_def lupd_def obj_ty_def split del: split_if)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1393
apply (drule alloc_one [THEN conjunct1])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1394
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1395
apply (erule_tac V = "atleast_free ?h two" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1396
apply (drule_tac x = "a" in new_AddrD2 [THEN spec])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1397
apply simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1398
apply (rule eval_Is (* While *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1399
apply  (rule eval_Is (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1400
apply  (rule eval_Is (* AVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1401
apply    (rule eval_Is (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1402
apply    (rule eval_Is (* FVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1403
apply      (rule init_done, simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1404
apply     (rule eval_Is (* StatRef *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1405
apply    (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1406
apply    (simp add: check_field_access_def Let_def)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1407
apply   (rule eval_Is (* Lit *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1408
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1409
apply (auto simp add: in_bounds_def)
00d4a435777f Isabelle/Bali sources;
schirme