src/HOL/Bali/Example.thy
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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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*)
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header {* Example Bali program *}
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theory Example imports Eval WellForm begin
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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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abbreviation
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  HasFoo :: qtname
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  "HasFoo == \<lparr>pid=java_lang,tid=TName (tnam_ HasFoo_)\<rparr>"
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  Base :: qtname
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  "Base == \<lparr>pid=java_lang,tid=TName (tnam_ Base_)\<rparr>"
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  Ext :: qtname
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  "Ext == \<lparr>pid=java_lang,tid=TName (tnam_ Ext_)\<rparr>"
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  Main :: qtname
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  "Main == \<lparr>pid=java_lang,tid=TName (tnam_ Main_)\<rparr>"
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  arr :: vname
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  "arr == (vnam_ arr_)"
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  vee :: vname
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  "vee == (vnam_ vee_)"
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  z :: vname
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  "z == (vnam_ z_)"
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  e :: vname
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  "e == (vnam_ e_)"
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  lab1:: label
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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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abbreviation
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  tprg :: prog
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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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   339
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   340
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   341
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   342
lemma ws_cdecl_Main: "ws_cdecl tprg Main Object"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   343
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
   344
apply auto
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   345
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   346
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   347
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
   348
                   ws_cdecl_Base ws_cdecl_Ext ws_cdecl_Main
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   349
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   350
declare not_Object_subcls_any [rule del]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   351
          not_Throwable_subcls_SXcpt [rule del] 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   352
          not_SXcpt_n_subcls_SXcpt_n [rule del] 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   353
          not_Base_subcls_Ext [rule del] not_TName_n_subcls_TName_n [rule del]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   354
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   355
lemma ws_idecl_all: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   356
 "G=tprg \<Longrightarrow> (\<forall>(I,i)\<in>set Ifaces. ws_idecl G I (isuperIfs i))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   357
apply (simp (no_asm) add: Ifaces_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   358
apply (auto intro!: ws_idecl_HasFoo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   359
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   360
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   361
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
   362
apply (simp (no_asm) add: Classes_def BaseCl_def ExtCl_def MainCl_def)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   363
apply (auto intro!: ws_cdecls simp add: standard_classes_def ObjectC_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   364
        SXcptC_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   365
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   366
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   367
lemma ws_tprg: "ws_prog tprg"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   368
apply (unfold ws_prog_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   369
apply (auto intro!: ws_idecl_all ws_cdecl_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   370
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   371
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   372
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   373
section "misc program properties (independent of well-structuredness)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   374
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   375
lemma single_iface [simp]: "is_iface tprg I = (I = HasFoo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   376
apply (unfold Ifaces_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   377
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   378
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   379
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   380
lemma empty_subint1 [simp]: "subint1 tprg = {}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   381
apply (unfold subint1_def Ifaces_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   382
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   383
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   384
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   385
lemma unique_ifaces: "unique Ifaces"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   386
apply (unfold Ifaces_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   387
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   388
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   389
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   390
lemma unique_classes: "unique Classes"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   391
apply (unfold table_classes_defs )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   392
apply (simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   393
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   394
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   395
lemma SXcpt_subcls_Throwable [simp]: "tprg\<turnstile>SXcpt xn\<preceq>\<^sub>C SXcpt Throwable"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   396
apply (rule SXcpt_subcls_Throwable_lemma)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   397
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   398
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   399
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   400
lemma Ext_subclseq_Base [simp]: "tprg\<turnstile>Ext \<preceq>\<^sub>C Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   401
apply (rule subcls_direct1)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   402
apply  (simp (no_asm) add: ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   403
apply  (simp add: Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   404
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   405
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   406
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   407
lemma Ext_subcls_Base [simp]: "tprg\<turnstile>Ext \<prec>\<^sub>C Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   408
apply (rule subcls_direct2)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   409
apply  (simp (no_asm) add: ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   410
apply  (simp add: Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   411
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   412
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   413
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   414
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   415
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   416
section "fields and method lookup"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   417
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   418
lemma fields_tprg_Object [simp]: "DeclConcepts.fields tprg Object = []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   419
by (rule ws_tprg [THEN fields_emptyI], force+)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   420
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   421
lemma fields_tprg_Throwable [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   422
  "DeclConcepts.fields tprg (SXcpt Throwable) = []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   423
by (rule ws_tprg [THEN fields_emptyI], force+)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   424
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   425
lemma fields_tprg_SXcpt [simp]: "DeclConcepts.fields tprg (SXcpt xn) = []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   426
apply (case_tac "xn = Throwable")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   427
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   428
by (rule ws_tprg [THEN fields_emptyI], force+)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   429
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   430
lemmas fields_rec_ = fields_rec [OF _ ws_tprg]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   431
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   432
lemma fields_Base [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   433
"DeclConcepts.fields tprg Base 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   434
  = [((arr,Base), \<lparr>access=Public,static=True ,type=PrimT Boolean.[]\<rparr>),
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   435
     ((vee,Base), \<lparr>access=Public,static=False,type=Iface HasFoo    \<rparr>)]"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   436
apply (subst fields_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   437
apply   (auto simp add: BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   438
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   439
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   440
lemma fields_Ext [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   441
 "DeclConcepts.fields tprg Ext  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   442
  = [((vee,Ext), \<lparr>access=Public,static=False,type= PrimT Integer\<rparr>)] 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   443
    @ DeclConcepts.fields tprg Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   444
apply (rule trans)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   445
apply (rule fields_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   446
apply   (auto simp add: ExtCl_def Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   447
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   448
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   449
lemmas imethds_rec_ = imethds_rec [OF _ ws_tprg]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   450
lemmas methd_rec_  = methd_rec  [OF _ ws_tprg]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   451
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   452
lemma imethds_HasFoo [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   453
  "imethds tprg HasFoo = o2s \<circ> empty(foo_sig\<mapsto>(HasFoo, foo_mhead))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   454
apply (rule trans)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   455
apply (rule imethds_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   456
apply  (auto simp add: HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   457
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   458
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   459
lemma methd_tprg_Object [simp]: "methd tprg Object = empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   460
apply (subst methd_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   461
apply (auto simp add: Object_mdecls_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   462
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   463
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   464
lemma methd_Base [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   465
  "methd tprg Base = table_of [(\<lambda>(s,m). (s, Base, m)) Base_foo]"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   466
apply (rule trans)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   467
apply (rule methd_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   468
apply   (auto simp add: BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   469
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   470
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   471
lemma memberid_Base_foo_simp [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   472
 "memberid (mdecl Base_foo) = mid foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   473
by (simp add: Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   474
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   475
lemma memberid_Ext_foo_simp [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   476
 "memberid (mdecl Ext_foo) = mid foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   477
by (simp add: Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   478
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   479
lemma Base_declares_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   480
  "tprg\<turnstile>mdecl Base_foo declared_in Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   481
by (auto simp add: declared_in_def cdeclaredmethd_def BaseCl_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   482
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   483
lemma foo_sig_not_undeclared_in_Base:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   484
  "\<not> tprg\<turnstile>mid foo_sig undeclared_in Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   485
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   486
  from Base_declares_foo
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   487
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   488
    by (auto dest!: declared_not_undeclared )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   489
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   490
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   491
lemma Ext_declares_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   492
  "tprg\<turnstile>mdecl Ext_foo declared_in Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   493
by (auto simp add: declared_in_def cdeclaredmethd_def ExtCl_def Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   494
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   495
lemma foo_sig_not_undeclared_in_Ext:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   496
  "\<not> tprg\<turnstile>mid foo_sig undeclared_in Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   497
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   498
  from Ext_declares_foo
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   499
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   500
    by (auto dest!: declared_not_undeclared )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   501
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   502
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   503
lemma Base_foo_not_inherited_in_Ext:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   504
 "\<not> tprg \<turnstile> Ext inherits (Base,mdecl Base_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   505
by (auto simp add: inherits_def foo_sig_not_undeclared_in_Ext)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   506
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   507
lemma Ext_method_inheritance:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   508
 "filter_tab (\<lambda>sig m. tprg \<turnstile> Ext inherits method sig m)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   509
     (empty(fst ((\<lambda>(s, m). (s, Base, m)) Base_foo)\<mapsto>
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   510
      snd ((\<lambda>(s, m). (s, Base, m)) Base_foo)))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   511
  = empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   512
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   513
  from Base_foo_not_inherited_in_Ext
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   514
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   515
    by (auto intro: filter_tab_all_False simp add: Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   516
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   517
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   518
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   519
lemma methd_Ext [simp]: "methd tprg Ext =   
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   520
  table_of [(\<lambda>(s,m). (s, Ext, m)) Ext_foo]"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   521
apply (rule trans)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   522
apply (rule methd_rec_)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   523
apply   (auto simp add: ExtCl_def Object_def Ext_method_inheritance)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   524
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   525
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   526
section "accessibility"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   527
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   528
lemma classesDefined: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   529
 "\<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
   530
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
   531
                      BaseCl_def ExtCl_def MainCl_def
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   532
                      SXcptC_def ObjectC_def) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   533
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   534
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   535
lemma superclassesBase [simp]: "superclasses tprg Base={Object}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   536
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   537
  have ws: "ws_prog tprg" by (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   538
  then show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   539
    by (auto simp add: superclasses_rec  BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   540
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   541
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   542
lemma superclassesExt [simp]: "superclasses tprg Ext={Base,Object}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   543
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   544
  have ws: "ws_prog tprg" by (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   545
  then show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   546
    by (auto simp add: superclasses_rec  ExtCl_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   547
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   548
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   549
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
   550
proof -
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   551
  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
   552
  then show ?thesis
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   553
    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
   554
qed
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   555
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   556
lemma HasFoo_accessible[simp]:"tprg\<turnstile>(Iface HasFoo) accessible_in P" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   557
by (simp add: accessible_in_RefT_simp is_public_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   558
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   559
lemma HasFoo_is_acc_iface[simp]: "is_acc_iface tprg P HasFoo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   560
by (simp add: is_acc_iface_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   561
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   562
lemma HasFoo_is_acc_type[simp]: "is_acc_type tprg P (Iface HasFoo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   563
by (simp add: is_acc_type_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   564
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   565
lemma Base_accessible[simp]:"tprg\<turnstile>(Class Base) accessible_in P" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   566
by (simp add: accessible_in_RefT_simp is_public_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   567
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   568
lemma Base_is_acc_class[simp]: "is_acc_class tprg P Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   569
by (simp add: is_acc_class_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   570
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   571
lemma Base_is_acc_type[simp]: "is_acc_type tprg P (Class Base)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   572
by (simp add: is_acc_type_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   573
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   574
lemma Ext_accessible[simp]:"tprg\<turnstile>(Class Ext) accessible_in P" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   575
by (simp add: accessible_in_RefT_simp is_public_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   576
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   577
lemma Ext_is_acc_class[simp]: "is_acc_class tprg P Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   578
by (simp add: is_acc_class_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   579
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   580
lemma Ext_is_acc_type[simp]: "is_acc_type tprg P (Class Ext)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   581
by (simp add: is_acc_type_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   582
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   583
lemma accmethd_tprg_Object [simp]: "accmethd tprg S Object = empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   584
apply (unfold accmethd_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   585
apply (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   586
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   587
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   588
lemma  snd_special_simp: "snd ((\<lambda>(s, m). (s, a, m)) x) = (a,snd x)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   589
by (cases x) (auto)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   590
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   591
lemma  fst_special_simp: "fst ((\<lambda>(s, m). (s, a, m)) x) = fst x"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   592
by (cases x) (auto)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   593
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   594
lemma foo_sig_undeclared_in_Object:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   595
  "tprg\<turnstile>mid foo_sig undeclared_in Object"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   596
by (auto simp add: undeclared_in_def cdeclaredmethd_def Object_mdecls_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   597
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   598
lemma unique_sig_Base_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   599
 "tprg\<turnstile> mdecl (sig, snd Base_foo) declared_in Base \<Longrightarrow> sig=foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   600
by (auto simp add: declared_in_def cdeclaredmethd_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   601
                   Base_foo_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   602
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   603
lemma Base_foo_no_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   604
 "tprg,sig\<turnstile>(Base,(snd Base_foo)) overrides old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   605
apply (drule overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   606
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   607
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   608
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   609
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   610
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   611
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   612
apply (frule unique_sig_Base_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   613
apply (auto dest!: declared_not_undeclared intro: foo_sig_undeclared_in_Object
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   614
            dest: unique_sig_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   615
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   616
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   617
lemma Base_foo_no_stat_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   618
 "tprg,sig\<turnstile>(Base,(snd Base_foo)) overrides\<^sub>S old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   619
apply (drule stat_overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   620
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   621
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   622
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   623
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   624
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   625
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   626
apply (frule unique_sig_Base_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   627
apply (auto dest!: declared_not_undeclared intro: foo_sig_undeclared_in_Object
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   628
            dest: unique_sig_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   629
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   630
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   631
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   632
lemma Base_foo_no_hide:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   633
 "tprg,sig\<turnstile>(Base,(snd Base_foo)) hides old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   634
by (auto dest: hidesD simp add: Base_foo_def member_is_static_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   635
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   636
lemma Ext_foo_no_hide:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   637
 "tprg,sig\<turnstile>(Ext,(snd Ext_foo)) hides old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   638
by (auto dest: hidesD simp add: Ext_foo_def member_is_static_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   639
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   640
lemma unique_sig_Ext_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   641
 "tprg\<turnstile> mdecl (sig, snd Ext_foo) declared_in Ext \<Longrightarrow> sig=foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   642
by (auto simp add: declared_in_def cdeclaredmethd_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   643
                   Ext_foo_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   644
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   645
lemma Ext_foo_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   646
 "tprg,sig\<turnstile>(Ext,(snd Ext_foo)) overrides old 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   647
  \<Longrightarrow> old = (Base,(snd Base_foo))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   648
apply (drule overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   649
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   650
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   651
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   652
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   653
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   654
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   655
apply (frule unique_sig_Ext_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   656
apply (case_tac "old")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   657
apply (insert Base_declares_foo foo_sig_undeclared_in_Object) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   658
apply (auto simp add: ExtCl_def Ext_foo_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   659
                      BaseCl_def Base_foo_def Object_mdecls_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   660
                      split_paired_all
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   661
                      member_is_static_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   662
           dest: declared_not_undeclared unique_declaration)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   663
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   664
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   665
lemma Ext_foo_stat_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   666
 "tprg,sig\<turnstile>(Ext,(snd Ext_foo)) overrides\<^sub>S old 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   667
  \<Longrightarrow> old = (Base,(snd Base_foo))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   668
apply (drule stat_overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   669
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   670
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   671
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   672
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   673
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   674
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   675
apply (frule unique_sig_Ext_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   676
apply (case_tac "old")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   677
apply (insert Base_declares_foo foo_sig_undeclared_in_Object) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   678
apply (auto simp add: ExtCl_def Ext_foo_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   679
                      BaseCl_def Base_foo_def Object_mdecls_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   680
                      split_paired_all
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   681
                      member_is_static_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   682
           dest: declared_not_undeclared unique_declaration)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   683
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   684
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   685
lemma Base_foo_member_of_Base: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   686
  "tprg\<turnstile>(Base,mdecl Base_foo) member_of Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   687
by (auto intro!: members.Immediate Base_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   688
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   689
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
   690
  "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
   691
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
   692
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   693
lemma Ext_foo_member_of_Ext: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   694
  "tprg\<turnstile>(Ext,mdecl Ext_foo) member_of Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   695
by (auto intro!: members.Immediate Ext_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   696
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   697
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
   698
  "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
   699
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
   700
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   701
lemma Base_foo_permits_acc:
14030
cd928c0ac225 Adapted to changes in Map.thy
schirmer
parents: 13688
diff changeset
   702
 "tprg \<turnstile> (Base, mdecl Base_foo) in Base permits_acc_from S"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   703
by ( simp add: permits_acc_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   704
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   705
lemma Base_foo_accessible [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   706
 "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
   707
by (auto intro: accessible_fromR.Immediate 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   708
                Base_foo_member_of_Base Base_foo_permits_acc)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   709
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   710
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
   711
 "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
   712
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
   713
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
   714
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
   715
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   716
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   717
lemma accmethd_Base [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   718
  "accmethd tprg S Base = methd tprg Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   719
apply (simp add: accmethd_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   720
apply (rule filter_tab_all_True)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   721
apply (simp add: snd_special_simp fst_special_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   722
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   723
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   724
lemma Ext_foo_permits_acc:
14030
cd928c0ac225 Adapted to changes in Map.thy
schirmer
parents: 13688
diff changeset
   725
 "tprg \<turnstile> (Ext, mdecl Ext_foo) in Ext permits_acc_from S"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   726
by ( simp add: permits_acc_def Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   727
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   728
lemma Ext_foo_accessible [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   729
 "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
   730
by (auto intro: accessible_fromR.Immediate 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   731
                Ext_foo_member_of_Ext Ext_foo_permits_acc)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   732
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   733
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
   734
 "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
   735
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
   736
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
   737
apply   (rule Ext_foo_permits_acc)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   738
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   739
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   740
lemma Ext_foo_overrides_Base_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   741
 "tprg\<turnstile>(Ext,Ext_foo) overrides (Base,Base_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   742
proof (rule overridesR.Direct, simp_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   743
  show "\<not> is_static Ext_foo" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   744
    by (simp add: member_is_static_simp Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   745
  show "\<not> is_static Base_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   746
    by (simp add: member_is_static_simp Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   747
  show "accmodi Ext_foo \<noteq> Private"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   748
    by (simp add: Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   749
  show "msig (Ext, Ext_foo) = msig (Base, Base_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   750
    by (simp add: Ext_foo_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   751
  show "tprg\<turnstile>mdecl Ext_foo declared_in Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   752
    by (auto intro: Ext_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   753
  show "tprg\<turnstile>mdecl Base_foo declared_in Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   754
    by (auto intro: Base_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   755
  show "tprg \<turnstile>(Base, mdecl Base_foo) inheritable_in java_lang"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   756
    by (simp add: inheritable_in_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   757
  show "tprg\<turnstile>resTy Ext_foo\<preceq>resTy Base_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   758
    by (simp add: Ext_foo_def Base_foo_def mhead_resTy_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   759
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   760
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   761
lemma accmethd_Ext [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   762
  "accmethd tprg S Ext = methd tprg Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   763
apply (simp add: accmethd_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   764
apply (rule filter_tab_all_True)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   765
apply (auto simp add: snd_special_simp fst_special_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   766
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   767
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   768
lemma cls_Ext: "class tprg Ext = Some ExtCl"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   769
by simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   770
lemma dynmethd_Ext_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   771
 "dynmethd tprg Base Ext \<lparr>name = foo, parTs = [Class Base]\<rparr> 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   772
  = Some (Ext,snd Ext_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   773
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   774
  have "methd tprg Base \<lparr>name = foo, parTs = [Class Base]\<rparr> 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   775
          = Some (Base,snd Base_foo)" and
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   776
       "methd tprg Ext \<lparr>name = foo, parTs = [Class Base]\<rparr> 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   777
          = Some (Ext,snd Ext_foo)" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   778
    by (auto simp add: Ext_foo_def Base_foo_def foo_sig_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   779
  with cls_Ext ws_tprg Ext_foo_overrides_Base_foo
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   780
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   781
    by (auto simp add: dynmethd_rec simp add: Ext_foo_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   782
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   783
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   784
lemma Base_fields_accessible[simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   785
 "accfield tprg S Base 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   786
  = table_of((map (\<lambda>((n,d),f).(n,(d,f)))) (DeclConcepts.fields tprg Base))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   787
apply (auto simp add: accfield_def expand_fun_eq Let_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   788
                      accessible_in_RefT_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   789
                      is_public_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   790
                      BaseCl_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   791
                      permits_acc_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   792
                      declared_in_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   793
                      cdeclaredfield_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   794
               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
   795
                       accessible_fromR.Immediate
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   796
               intro: members.Immediate)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   797
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   798
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   799
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   800
lemma arr_member_of_Base:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   801
  "tprg\<turnstile>(Base, fdecl (arr, 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   802
                 \<lparr>access = Public, static = True, type = PrimT Boolean.[]\<rparr>))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   803
          member_of Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   804
by (auto intro: members.Immediate 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   805
       simp add: declared_in_def cdeclaredfield_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   806
 
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   807
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
   808
  "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
   809
                 \<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
   810
          member_in Base"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   811
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
   812
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   813
lemma arr_member_of_Ext:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   814
  "tprg\<turnstile>(Base, fdecl (arr, 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   815
                    \<lparr>access = Public, static = True, type = PrimT Boolean.[]\<rparr>))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   816
             member_of Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   817
apply (rule members.Inherited)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   818
apply   (simp add: inheritable_in_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   819
apply   (simp add: undeclared_in_def cdeclaredfield_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   820
apply   (auto intro: arr_member_of_Base simp add: subcls1_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   821
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   822
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   823
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
   824
  "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
   825
                 \<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
   826
          member_in Ext"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   827
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
   828
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   829
lemma Ext_fields_accessible[simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   830
"accfield tprg S Ext 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   831
  = table_of((map (\<lambda>((n,d),f).(n,(d,f)))) (DeclConcepts.fields tprg Ext))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   832
apply (auto simp add: accfield_def expand_fun_eq Let_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   833
                      accessible_in_RefT_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   834
                      is_public_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   835
                      BaseCl_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   836
                      ExtCl_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   837
                      permits_acc_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   838
               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
   839
                       accessible_fromR.Immediate)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   840
apply (auto intro: members.Immediate arr_member_of_Ext
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   841
            simp add: declared_in_def cdeclaredfield_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   842
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   843
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   844
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
   845
"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
   846
       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
   847
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
   848
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
   849
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
   850
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   851
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   852
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
   853
"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
   854
       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
   855
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
   856
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
   857
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
   858
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   859
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   860
lemma array_of_PrimT_acc [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   861
 "is_acc_type tprg java_lang (PrimT t.[])"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   862
apply (simp add: is_acc_type_def accessible_in_RefT_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   863
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   864
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   865
lemma PrimT_acc [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   866
 "is_acc_type tprg java_lang (PrimT t)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   867
apply (simp add: is_acc_type_def accessible_in_RefT_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   868
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   869
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   870
lemma Object_acc [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   871
 "is_acc_class tprg java_lang Object"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   872
apply (auto simp add: is_acc_class_def accessible_in_RefT_simp is_public_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   873
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   874
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   875
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   876
section "well-formedness"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   877
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   878
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   879
lemma wf_HasFoo: "wf_idecl tprg (HasFoo, HasFooInt)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   880
apply (unfold wf_idecl_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   881
apply (auto intro!: wf_mheadI ws_idecl_HasFoo 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   882
            simp add: foo_sig_def foo_mhead_def mhead_resTy_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   883
                      member_is_static_simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   884
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   885
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   886
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   887
declare member_is_static_simp [simp]
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   888
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
   889
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
   890
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
   891
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
   892
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   893
lemmas Base_foo_defs = Base_foo_def foo_sig_def foo_mhead_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   894
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
   895
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
   896
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
   897
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   898
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   899
lemma wf_Base_foo: "wf_mdecl tprg Base Base_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   900
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
   901
apply (auto intro!: wf_mdeclI wf_mheadI intro!: wtIs 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   902
            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
   903
(* 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
   904
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
   905
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
   906
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
   907
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
   908
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
   909
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
   910
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
   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      (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
   915
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
   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 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
   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   (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
   922
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
   923
apply (simp)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   924
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   925
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
   926
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   927
lemma wf_Ext_foo: "wf_mdecl tprg Ext Ext_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   928
apply (unfold Ext_foo_defs )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   929
apply (auto intro!: wf_mdeclI wf_mheadI intro!: wtIs 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   930
            simp add: mhead_resTy_simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   931
apply  (rule wt.Cast)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   932
prefer 2
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   933
apply    simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   934
apply   (rule_tac [2] narrow.subcls [THEN cast.narrow])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   935
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
   936
(* 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
   937
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
   938
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
   939
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
   940
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
   941
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
   942
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
   943
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
   944
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
   945
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
   946
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
   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 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
   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_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
   951
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
   952
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
   953
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
   954
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
   955
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
   956
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
   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 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
   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   (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
   965
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
   966
apply simp
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   967
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   968
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   969
declare mhead_resTy_simp [simp add]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   970
declare member_is_static_simp [simp add]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   971
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   972
lemma wf_BaseC: "wf_cdecl tprg (Base,BaseCl)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   973
apply (unfold wf_cdecl_def BaseCl_def arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   974
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
   975
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
   976
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
   977
(* 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
   978
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
   979
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
   980
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
   981
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
   982
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
   983
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
   984
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
   985
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
   986
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
   987
apply  (rule da.Lit)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   988
apply (auto simp add: Base_foo_defs entails_def Let_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   989
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
   990
apply (insert Base_foo_no_hide         , simp add: Base_foo_def,blast)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   991
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   992
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   993
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   994
lemma wf_ExtC: "wf_cdecl tprg (Ext,ExtCl)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   995
apply (unfold wf_cdecl_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   996
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
   997
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
   998
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
   999
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
  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    (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
  1002
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
  1003
apply  (insert Ext_foo_no_hide)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1004
apply  (simp_all add: qmdecl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1005
apply  blast+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1006
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1007
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1008
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
  1009
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
  1010
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
  1011
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
  1012
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1013
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1014
lemma wf_idecl_all: "p=tprg \<Longrightarrow> Ball (set Ifaces) (wf_idecl p)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1015
apply (simp (no_asm) add: Ifaces_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1016
apply (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1017
apply (rule wf_HasFoo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1018
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1019
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1020
lemma wf_cdecl_all_standard_classes: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1021
  "Ball (set standard_classes) (wf_cdecl tprg)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1022
apply (unfold standard_classes_def Let_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1023
       ObjectC_def SXcptC_def Object_mdecls_def SXcpt_mdecls_def)
18576
8d98b7711e47 Reversed Larry's option/iff change.
nipkow
parents: 18551
diff changeset
  1024
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
  1025
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
  1026
            intro: da.Skip)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1027
apply (auto simp add: Object_def Classes_def standard_classes_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1028
                      SXcptC_def SXcpt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1029
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1030
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1031
lemma wf_cdecl_all: "p=tprg \<Longrightarrow> Ball (set Classes) (wf_cdecl p)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1032
apply (simp (no_asm) add: Classes_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1033
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
  1034
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
  1035
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
  1036
apply  (rule wf_MainC [THEN conjI])
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1037
apply (rule wf_cdecl_all_standard_classes)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1038
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1039
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1040
theorem wf_tprg: "wf_prog tprg"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1041
apply (unfold wf_prog_def Let_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1042
apply (simp (no_asm) add: unique_ifaces unique_classes)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1043
apply (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1044
apply  ((simp (no_asm) add: Classes_def standard_classes_def))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1045
apply (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1046
apply (simp add: Object_mdecls_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1047
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
  1048
apply  (cut_tac xn_cases)   
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1049
apply  (simp (no_asm_simp) add: Classes_def standard_classes_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1050
apply  (insert wf_idecl_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1051
apply  (insert wf_cdecl_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1052
apply  auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1053
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1054
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1055
section "max spec"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1056
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1057
lemma appl_methds_Base_foo: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1058
"appl_methds tprg S (ClassT Base) \<lparr>name=foo, parTs=[NT]\<rparr> =  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1059
  {((ClassT Base, \<lparr>access=Public,static=False,pars=[z],resT=Class Base\<rparr>)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1060
    ,[Class Base])}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1061
apply (unfold appl_methds_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1062
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1063
apply (subgoal_tac "tprg\<turnstile>NT\<preceq> Class Base")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1064
apply  (auto simp add: cmheads_def Base_foo_defs)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1065
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1066
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1067
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
  1068
  {((ClassT Base, \<lparr>access=Public,static=False,pars=[z],resT=Class Base\<rparr>)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1069
   , [Class Base])}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1070
apply (unfold max_spec_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1071
apply (simp (no_asm) add: appl_methds_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1072
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1073
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1074
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1075
section "well-typedness"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1076
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1077
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
  1078
apply (unfold test_def arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1079
(* ?pTs = [Class Base] *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1080
apply (rule wtIs (* ;; *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1081
apply  (rule wtIs (* Ass *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1082
apply  (rule wtIs (* NewC *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1083
apply     (rule wtIs (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1084
apply      (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1085
apply     (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1086
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1087
apply   (rule wtIs (* NewC *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1088
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1089
apply  (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1090
apply (rule wtIs (* Try *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1091
prefer 4
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1092
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1093
defer
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1094
apply    (rule wtIs (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1095
apply    (rule wtIs (* Call *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1096
apply       (rule wtIs (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1097
apply       (rule wtIs (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1098
apply        (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1099
apply       (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1100
apply      (rule wtIs (* Cons *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1101
apply       (rule wtIs (* Lit *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1102
apply       (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1103
apply      (rule wtIs (* Nil *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1104
apply     (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1105
apply     (rule max_spec_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1106
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1107
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1108
apply  (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1109
apply  (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1110
apply  (simp)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1111
apply (rule wtIs (* While *))
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 (* AVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1114
apply   (rule wtIs (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1115
apply   (rule wtIs (* FVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1116
apply    (rule wtIs (* StatRef *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1117
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1118
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1119
apply   (simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1120
apply   (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1121
apply   (simp)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1122
apply  (rule wtIs (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1123
apply  (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1124
apply (rule wtIs (* Skip *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1125
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1126
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
  1127
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
  1128
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
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
  1130
                  \<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
  1131
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
  1132
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
  1133
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
  1134
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
  1135
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
  1136
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
  1137
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
  1138
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
  1139
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
  1140
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
  1141
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
  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 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
  1144
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
  1145
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
  1146
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
  1147
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
  1148
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
  1149
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
  1150
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
  1151
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
  1152
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
  1153
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
  1154
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
  1155
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
  1156
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
  1157
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
  1158
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
  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,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
  1163
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
  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  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
  1166
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
  1167
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
  1168
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
  1169
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1170
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1171
section "execution"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1172
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1173
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
  1174
  new_Addr h = Some a \<and> atleast_free (h(a\<mapsto>obj)) n"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1175
apply (frule atleast_free_SucD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1176
apply (drule atleast_free_Suc [THEN iffD1])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1177
apply clarsimp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1178
apply (frule new_Addr_SomeI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1179
apply force
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1180
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1181
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1182
declare fvar_def2 [simp] avar_def2 [simp] init_lvars_def2 [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1183
declare init_obj_def [simp] var_tys_def [simp] fields_table_def [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1184
declare BaseCl_def [simp] ExtCl_def [simp] Ext_foo_def [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1185
        Base_foo_defs  [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1186
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1187
ML {* bind_thms ("eval_intros", map 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1188
        (simplify (simpset() delsimps [thm "Skip_eq"]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1189
                             addsimps [thm "lvar_def"]) o 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1190
         rewrite_rule [thm "assign_def",Let_def]) (thms "eval.intros")) *}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1191
lemmas eval_Is = eval_Init eval_StatRef AbruptIs eval_intros
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1192
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1193
consts
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1194
  a :: loc
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1195
  b :: loc
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1196
  c :: loc
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1197
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1198
abbreviation
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1199
  "one == Suc 0"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1200
  "two == Suc one"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1201
  "tree == Suc two"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1202
  "four == Suc tree"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1203
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1204
syntax
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1205
  obj_a :: obj
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1206
  obj_b :: obj
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1207
  obj_c :: obj
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1208
  arr_N :: "(vn, val) table"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1209
  arr_a :: "(vn, val) table"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1210
  globs1 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1211
  globs2 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1212
  globs3 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1213
  globs8 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1214
  locs3 :: locals
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1215
  locs4 :: locals
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1216
  locs8 :: locals
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1217
  s0  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1218
  s0' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1219
  s9' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1220
  s1  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1221
  s1' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1222
  s2  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1223
  s2' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1224
  s3  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1225
  s3' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1226
  s4  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1227
  s4' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1228
  s6' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1229
  s7' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1230
  s8  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1231
  s8' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1232
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1233
translations
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1234
  "obj_a"   <= "\<lparr>tag=Arr (PrimT Boolean) (CONST two)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1235
                ,values=CONST empty(Inr 0\<mapsto>Bool False)(Inr (CONST one)\<mapsto>Bool False)\<rparr>"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1236
  "obj_b"   <= "\<lparr>tag=CInst (CONST Ext)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1237
                ,values=(CONST empty(Inl (CONST vee, CONST Base)\<mapsto>Null   ) 
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1238
                              (Inl (CONST vee, CONST Ext )\<mapsto>Intg 0))\<rparr>"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1239
  "obj_c"   == "\<lparr>tag=CInst (SXcpt NullPointer),values=CONST empty\<rparr>"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1240
  "arr_N"   == "CONST empty(Inl (CONST arr, CONST Base)\<mapsto>Null)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1241
  "arr_a"   == "CONST empty(Inl (CONST arr, CONST Base)\<mapsto>Addr a)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1242
  "globs1"  == "CONST empty(Inr (CONST Ext)   \<mapsto>\<lparr>tag=arbitrary, values=CONST empty\<rparr>)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1243
                     (Inr (CONST Base)  \<mapsto>\<lparr>tag=arbitrary, values=arr_N\<rparr>)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1244
                     (Inr Object\<mapsto>\<lparr>tag=arbitrary, values=CONST empty\<rparr>)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1245
  "globs2"  == "CONST empty(Inr (CONST Ext)   \<mapsto>\<lparr>tag=arbitrary, values=CONST empty\<rparr>)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1246
                     (Inr Object\<mapsto>\<lparr>tag=arbitrary, values=CONST empty\<rparr>)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1247
                     (Inl a\<mapsto>obj_a)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1248
                     (Inr (CONST Base)  \<mapsto>\<lparr>tag=arbitrary, values=arr_a\<rparr>)"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1249
  "globs3"  == "globs2(Inl b\<mapsto>obj_b)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1250
  "globs8"  == "globs3(Inl c\<mapsto>obj_c)"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1251
  "locs3"   == "CONST empty(VName (CONST e)\<mapsto>Addr b)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1252
  "locs4"   == "CONST empty(VName (CONST z)\<mapsto>Null)(Inr()\<mapsto>Addr b)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1253
  "locs8"   == "locs3(VName (CONST z)\<mapsto>Addr c)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1254
  "s0"  == "       st (CONST empty) (CONST empty)"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1255
  "s0'" == " Norm  s0"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1256
  "s1"  == "       st globs1 (CONST empty)"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1257
  "s1'" == " Norm  s1"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1258
  "s2"  == "       st globs2 (CONST empty)"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1259
  "s2'" == " Norm  s2"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1260
  "s3"  == "       st globs3 locs3 "
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1261
  "s3'" == " Norm  s3"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1262
  "s4"  == "       st globs3 locs4"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1263
  "s4'" == " Norm  s4"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1264
  "s6'" == "(Some (Xcpt (Std NullPointer)), s4)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1265
  "s7'" == "(Some (Xcpt (Std NullPointer)), s3)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1266
  "s8"  == "       st globs8 locs8"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1267
  "s8'" == " Norm  s8"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1268
  "s9'" == "(Some (Xcpt (Std IndOutBound)), s8)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1269
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1270
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1271
declare Pair_eq [simp del]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1272
lemma exec_test: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1273
"\<lbrakk>the (new_Addr (heap  s1)) = a;  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1274
  the (new_Addr (heap ?s2)) = b;  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1275
  the (new_Addr (heap ?s3)) = c\<rbrakk> \<Longrightarrow>  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1276
  atleast_free  (heap s0) four \<Longrightarrow>  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1277
  tprg\<turnstile>s0' \<midarrow>test [Class Base]\<rightarrow> ?s9'"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1278
apply (unfold test_def arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1279
(* ?s9' = s9' *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1280
apply (simp (no_asm_use))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1281
apply (drule (1) alloc_one,clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1282
apply (rule eval_Is (* ;; *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1283
apply  (erule_tac V = "the (new_Addr ?h) = c" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1284
apply  (erule_tac [2] V = "new_Addr ?h = Some a" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1285
apply  (erule_tac [2] V = "atleast_free ?h four" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1286
apply  (rule eval_Is (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1287
apply  (rule eval_Is (* Ass *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1288
apply   (rule eval_Is (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1289
apply  (rule eval_Is (* NewC *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1290
      (* begin init Ext *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1291
apply   (erule_tac V = "the (new_Addr ?h) = b" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1292
apply   (erule_tac V = "atleast_free ?h tree" 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   (erule_tac [2] V = "new_Addr ?h = Some a" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1295
apply   (rule eval_Is (* Init Ext *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1296
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1297
apply   (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1298
prefer 2 apply (rule conjI HOL.refl)+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1299
apply   (rule eval_Is (* Init Base *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1300
apply   (simp add: arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1301
apply   (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1302
apply    (rule eval_Is (* Init Object *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1303
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1304
apply    (rule conjI, rule HOL.refl)+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1305
apply    (rule HOL.refl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1306
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1307
apply   (rule conjI, rule_tac [2] HOL.refl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1308
apply   (rule eval_Is (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1309
apply   (rule eval_Is (* Ass *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1310
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
  1311
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
  1312
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
  1313
apply       (simp)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1314
apply     (simp add: check_field_access_def Let_def) 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1315
apply   (rule eval_Is (* NewA *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1316
apply     (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1317
apply    (rule eval_Is (* Lit *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1318
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1319
apply   (rule halloc.New)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1320
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
  1321
apply   (drule atleast_free_weaken,drule atleast_free_weaken)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1322
apply   (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1323
apply  (simp add: upd_gobj_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1324
      (* end init Ext *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1325
apply  (rule halloc.New)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1326
apply   (drule alloc_one)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1327
prefer 2 apply fast
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1328
apply   (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1329
apply  (drule atleast_free_weaken)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1330
apply  force
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1331
apply (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1332
apply (drule alloc_one)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1333
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1334
apply clarsimp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1335
apply (erule_tac V = "atleast_free ?h tree" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1336
apply (drule_tac x = "a" in new_AddrD2 [THEN spec])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1337
apply (simp (no_asm_use))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1338
apply (rule eval_Is (* Try *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1339
apply   (rule eval_Is (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1340
      (* begin method call *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1341
apply   (rule eval_Is (* Call *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1342
apply      (rule eval_Is (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1343
apply      (rule eval_Is (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1344
apply     (rule eval_Is (* Cons *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1345
apply      (rule eval_Is (* Lit *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1346
apply     (rule eval_Is (* Nil *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1347
apply    (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1348
apply    (simp)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1349
apply    (subgoal_tac
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1350
             "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
  1351
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
  1352
                      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
  1353
apply      (rule Ext_foo_dyn_accessible)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1354
apply   (rule eval_Is (* Methd *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1355
apply   (simp add: body_def Let_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1356
apply   (rule eval_Is (* Body *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1357
apply     (rule init_done, simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1358
apply       (simp add: invocation_declclass_def dynlookup_def dynmethd_Ext_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1359
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
  1360
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
  1361
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
  1362
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
  1363
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
  1364
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
  1365
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
  1366
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
  1367
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
  1368
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
  1369
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
  1370
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
  1371
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
  1372
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
  1373
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
  1374
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
  1375
apply    (rule eval_Is (* Comp *))
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1376
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1377
      (* 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
  1378
apply  simp
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1379
apply  (rule sxalloc.intros)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1380
apply  (rule halloc.New)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1381
apply   (erule alloc_one [THEN conjunct1])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1382
apply   (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1383
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1384
apply (simp add: gupd_def lupd_def obj_ty_def split del: split_if)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1385
apply (drule alloc_one [THEN conjunct1])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1386
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1387
apply (erule_tac V = "atleast_free ?h two" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1388
apply (drule_tac x = "a" in new_AddrD2 [THEN spec])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1389
apply simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1390
apply (rule eval_Is (* While *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1391
apply  (rule eval_Is (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1392
apply  (rule eval_Is (* AVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1393
apply    (rule eval_Is (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1394
apply    (rule eval_Is (* FVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1395
apply      (rule init_done, simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1396
apply     (rule eval_Is (* StatRef *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1397
apply    (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1398
apply    (simp add: check_field_access_def Let_def)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset