src/HOL/Bali/Example.thy
author wenzelm
Wed, 19 Mar 2008 22:50:42 +0100
changeset 26342 0f65fa163304
parent 24019 67bde7cfcf10
child 26480 544cef16045b
permissions -rw-r--r--
more antiquotations;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
12857
a4386cc9b1c3 tuned header;
wenzelm
parents: 12854
diff changeset
     1
(*  Title:      HOL/Bali/Example.thy
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
     2
    ID:         $Id$
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
     3
    Author:     David von Oheimb
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
     4
*)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
     5
header {* Example Bali program *}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
     6
16417
9bc16273c2d4 migrated theory headers to new format
haftmann
parents: 14981
diff changeset
     7
theory Example imports Eval WellForm begin
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
     8
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
     9
text {*
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    10
The following example Bali program includes:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    11
\begin{itemize}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    12
\item class and interface declarations with inheritance, hiding of fields,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    13
    overriding of methods (with refined result type), array type,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    14
\item method call (with dynamic binding), parameter access, return expressions,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    15
\item expression statements, sequential composition, literal values, 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    16
    local assignment, local access, field assignment, type cast,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    17
\item exception generation and propagation, try and catch statement, throw 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    18
      statement
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    19
\item instance creation and (default) static initialization
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    20
\end{itemize}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    21
\begin{verbatim}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    22
package java_lang
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    23
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    24
public interface HasFoo {
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    25
  public Base foo(Base z);
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    26
}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    27
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    28
public class Base implements HasFoo {
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    29
  static boolean arr[] = new boolean[2];
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    30
  public HasFoo vee;
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    31
  public Base foo(Base z) {
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    32
    return z;
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    33
  }
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    34
}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    35
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    36
public class Ext extends Base {
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    37
  public int vee;
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    38
  public Ext foo(Base z) {
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    39
    ((Ext)z).vee = 1;
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    40
    return null;
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    41
  }
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    42
}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    43
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
    44
public class Main {
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    45
  public static void main(String args[]) throws Throwable {
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    46
    Base e = new Ext();
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    47
    try {e.foo(null); }
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    48
    catch(NullPointerException z) { 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    49
      while(Ext.arr[2]) ;
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    50
    }
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    51
  }
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    52
}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    53
\end{verbatim}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    54
*}
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    55
declare widen.null [intro]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    56
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    57
lemma wf_fdecl_def2: "\<And>fd. wf_fdecl G P fd = is_acc_type G P (type (snd fd))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    58
apply (unfold wf_fdecl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    59
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    60
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    61
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    62
declare wf_fdecl_def2 [iff]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    63
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    64
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    65
section "type and expression names"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    66
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    67
(** unfortunately cannot simply instantiate tnam **)
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    68
datatype tnam'  = HasFoo' | Base' | Ext' | Main'
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    69
datatype vnam'  = arr' | vee' | z' | e'
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    70
datatype label' = lab1'
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    71
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    72
consts
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    73
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    74
  tnam' :: "tnam'  \<Rightarrow> tnam"
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    75
  vnam' :: "vnam'  \<Rightarrow> vname"
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    76
  label':: "label' \<Rightarrow> label"
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    77
axioms  (** tnam', vnam' and label are intended to be isomorphic 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    78
            to tnam, vname and label **)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    79
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    80
  inj_tnam'  [simp]: "(tnam'  x = tnam'  y) = (x = y)"
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    81
  inj_vnam'  [simp]: "(vnam'  x = vnam'  y) = (x = y)"
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    82
  inj_label' [simp]: "(label' x = label' y) = (x = y)"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    83
  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    84
  
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    85
  surj_tnam':  "\<exists>m. n = tnam'  m"
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    86
  surj_vnam':  "\<exists>m. n = vnam'  m"
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    87
  surj_label':" \<exists>m. n = label' m"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
    88
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
    89
abbreviation
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
    90
  HasFoo :: qtname where
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    91
  "HasFoo == \<lparr>pid=java_lang,tid=TName (tnam' HasFoo')\<rparr>"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
    92
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
    93
abbreviation
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
    94
  Base :: qtname where
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    95
  "Base == \<lparr>pid=java_lang,tid=TName (tnam' Base')\<rparr>"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
    96
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
    97
abbreviation
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
    98
  Ext :: qtname where
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
    99
  "Ext == \<lparr>pid=java_lang,tid=TName (tnam' Ext')\<rparr>"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
   100
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   101
abbreviation
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   102
  Main :: qtname where
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   103
  "Main == \<lparr>pid=java_lang,tid=TName (tnam' Main')\<rparr>"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
   104
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   105
abbreviation
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   106
  arr :: vname where
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   107
  "arr == (vnam' arr')"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
   108
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   109
abbreviation
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   110
  vee :: vname where
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   111
  "vee == (vnam' vee')"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
   112
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   113
abbreviation
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   114
  z :: vname where
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   115
  "z == (vnam' z')"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
   116
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   117
abbreviation
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   118
  e :: vname where
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   119
  "e == (vnam' e')"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
   120
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   121
abbreviation
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   122
  lab1:: label where
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   123
  "lab1 == label' lab1'"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   124
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   125
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   126
lemma neq_Base_Object [simp]: "Base\<noteq>Object"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   127
by (simp add: Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   128
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   129
lemma neq_Ext_Object [simp]: "Ext\<noteq>Object"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   130
by (simp add: Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   131
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   132
lemma neq_Main_Object [simp]: "Main\<noteq>Object"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   133
by (simp add: Object_def)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   134
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   135
lemma neq_Base_SXcpt [simp]: "Base\<noteq>SXcpt xn"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   136
by (simp add: SXcpt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   137
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   138
lemma neq_Ext_SXcpt [simp]: "Ext\<noteq>SXcpt xn"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   139
by (simp add: SXcpt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   140
13524
604d0f3622d6 *** empty log message ***
wenzelm
parents: 12925
diff changeset
   141
lemma neq_Main_SXcpt [simp]: "Main\<noteq>SXcpt xn"
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   142
by (simp add: SXcpt_def)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   143
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   144
section "classes and interfaces"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   145
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   146
defs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   147
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   148
  Object_mdecls_def: "Object_mdecls \<equiv> []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   149
  SXcpt_mdecls_def:  "SXcpt_mdecls  \<equiv> []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   150
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   151
consts
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   152
  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   153
  foo    :: mname
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   154
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   155
constdefs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   156
  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   157
  foo_sig   :: sig
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   158
 "foo_sig   \<equiv> \<lparr>name=foo,parTs=[Class Base]\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   159
  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   160
  foo_mhead :: mhead
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   161
 "foo_mhead \<equiv> \<lparr>access=Public,static=False,pars=[z],resT=Class Base\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   162
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   163
constdefs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   164
  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   165
  Base_foo :: mdecl
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   166
 "Base_foo \<equiv> (foo_sig, \<lparr>access=Public,static=False,pars=[z],resT=Class Base,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   167
                        mbody=\<lparr>lcls=[],stmt=Return (!!z)\<rparr>\<rparr>)"
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   168
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   169
constdefs
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   170
  Ext_foo  :: mdecl
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   171
 "Ext_foo  \<equiv> (foo_sig, 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   172
              \<lparr>access=Public,static=False,pars=[z],resT=Class Ext,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   173
	       mbody=\<lparr>lcls=[]
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   174
                     ,stmt=Expr({Ext,Ext,False}Cast (Class Ext) (!!z)..vee := 
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
   175
       	                                                     Lit (Intg 1)) ;;
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   176
                                Return (Lit Null)\<rparr>
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   177
	      \<rparr>)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   178
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   179
constdefs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   180
  
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   181
arr_viewed_from :: "qtname \<Rightarrow> qtname \<Rightarrow> var"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   182
"arr_viewed_from accC C \<equiv> {accC,Base,True}StatRef (ClassT C)..arr"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   183
18551
be0705186ff5 class now an keyword, quoted where necessary
haftmann
parents: 18447
diff changeset
   184
BaseCl :: "class"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   185
"BaseCl \<equiv> \<lparr>access=Public,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   186
           cfields=[(arr, \<lparr>access=Public,static=True ,type=PrimT Boolean.[]\<rparr>),
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   187
	            (vee, \<lparr>access=Public,static=False,type=Iface HasFoo    \<rparr>)],
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   188
           methods=[Base_foo],
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   189
           init=Expr(arr_viewed_from Base Base 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   190
                     :=New (PrimT Boolean)[Lit (Intg 2)]),
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   191
           super=Object,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   192
           superIfs=[HasFoo]\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   193
  
18551
be0705186ff5 class now an keyword, quoted where necessary
haftmann
parents: 18447
diff changeset
   194
ExtCl  :: "class"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   195
"ExtCl  \<equiv> \<lparr>access=Public,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   196
           cfields=[(vee, \<lparr>access=Public,static=False,type= PrimT Integer\<rparr>)], 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   197
           methods=[Ext_foo],
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   198
           init=Skip,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   199
           super=Base,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   200
           superIfs=[]\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   201
18551
be0705186ff5 class now an keyword, quoted where necessary
haftmann
parents: 18447
diff changeset
   202
MainCl :: "class"
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   203
"MainCl \<equiv> \<lparr>access=Public,
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   204
           cfields=[], 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   205
           methods=[], 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   206
           init=Skip,
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   207
           super=Object,
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   208
           superIfs=[]\<rparr>"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   209
(* The "main" method is modeled seperately (see tprg) *)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   210
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   211
constdefs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   212
  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   213
  HasFooInt :: iface
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   214
 "HasFooInt \<equiv> \<lparr>access=Public,imethods=[(foo_sig, foo_mhead)],isuperIfs=[]\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   215
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   216
  Ifaces ::"idecl list"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   217
 "Ifaces \<equiv> [(HasFoo,HasFooInt)]"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   218
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   219
 "Classes" ::"cdecl list"
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   220
 "Classes \<equiv> [(Base,BaseCl),(Ext,ExtCl),(Main,MainCl)]@standard_classes"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   221
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   222
lemmas table_classes_defs = 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   223
     Classes_def standard_classes_def ObjectC_def SXcptC_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   224
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   225
lemma table_ifaces [simp]: "table_of Ifaces = empty(HasFoo\<mapsto>HasFooInt)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   226
apply (unfold Ifaces_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   227
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   228
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   229
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   230
lemma table_classes_Object [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   231
 "table_of Classes Object = Some \<lparr>access=Public,cfields=[]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   232
                                 ,methods=Object_mdecls
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   233
                                 ,init=Skip,super=arbitrary,superIfs=[]\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   234
apply (unfold table_classes_defs)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   235
apply (simp (no_asm) add:Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   236
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   237
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   238
lemma table_classes_SXcpt [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   239
  "table_of Classes (SXcpt xn) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   240
    = Some \<lparr>access=Public,cfields=[],methods=SXcpt_mdecls,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   241
            init=Skip,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   242
            super=if xn = Throwable then Object else SXcpt Throwable,
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   243
            superIfs=[]\<rparr>"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   244
apply (unfold table_classes_defs)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   245
apply (induct_tac xn)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   246
apply (simp add: Object_def SXcpt_def)+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   247
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   248
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   249
lemma table_classes_HasFoo [simp]: "table_of Classes HasFoo = None"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   250
apply (unfold table_classes_defs)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   251
apply (simp (no_asm) add: Object_def SXcpt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   252
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   253
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   254
lemma table_classes_Base [simp]: "table_of Classes Base = Some BaseCl"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   255
apply (unfold table_classes_defs )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   256
apply (simp (no_asm) add: Object_def SXcpt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   257
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   258
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   259
lemma table_classes_Ext [simp]: "table_of Classes Ext = Some ExtCl"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   260
apply (unfold table_classes_defs )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   261
apply (simp (no_asm) add: Object_def SXcpt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   262
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   263
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   264
lemma table_classes_Main [simp]: "table_of Classes Main = Some MainCl"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   265
apply (unfold table_classes_defs )
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   266
apply (simp (no_asm) add: Object_def SXcpt_def)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   267
done
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   268
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   269
section "program"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   270
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
   271
abbreviation
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
   272
  tprg :: prog where
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
   273
  "tprg == \<lparr>ifaces=Ifaces,classes=Classes\<rparr>"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   274
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   275
constdefs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   276
  test    :: "(ty)list \<Rightarrow> stmt"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   277
 "test pTs \<equiv> e:==NewC Ext;; 
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   278
           \<spacespace> Try Expr({Main,ClassT Base,IntVir}!!e\<cdot>foo({pTs}[Lit Null]))
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   279
           \<spacespace> Catch((SXcpt NullPointer) z)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   280
           (lab1\<bullet> While(Acc 
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   281
                        (Acc (arr_viewed_from Main Ext).[Lit (Intg 2)])) Skip)"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   282
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   283
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   284
section "well-structuredness"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   285
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   286
lemma not_Object_subcls_any [elim!]: "(Object, C) \<in> (subcls1 tprg)^+ \<Longrightarrow> R"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   287
apply (auto dest!: tranclD subcls1D)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   288
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   289
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   290
lemma not_Throwable_subcls_SXcpt [elim!]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   291
  "(SXcpt Throwable, SXcpt xn) \<in> (subcls1 tprg)^+ \<Longrightarrow> R"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   292
apply (auto dest!: tranclD subcls1D) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   293
apply (simp add: Object_def SXcpt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   294
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   295
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   296
lemma not_SXcpt_n_subcls_SXcpt_n [elim!]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   297
  "(SXcpt xn, SXcpt xn)  \<in> (subcls1 tprg)^+ \<Longrightarrow> R"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   298
apply (auto dest!: tranclD subcls1D)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   299
apply (drule rtranclD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   300
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   301
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   302
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   303
lemma not_Base_subcls_Ext [elim!]: "(Base, Ext) \<in> (subcls1 tprg)^+  \<Longrightarrow> R"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   304
apply (auto dest!: tranclD subcls1D simp add: BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   305
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   306
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   307
lemma not_TName_n_subcls_TName_n [rule_format (no_asm), elim!]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   308
  "(\<lparr>pid=java_lang,tid=TName tn\<rparr>, \<lparr>pid=java_lang,tid=TName tn\<rparr>) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   309
   \<in> (subcls1 tprg)^+ \<longrightarrow> R"
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   310
apply (rule_tac n1 = "tn" in surj_tnam' [THEN exE])
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   311
apply (erule ssubst)
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   312
apply (rule tnam'.induct)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   313
apply  safe
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   314
apply (auto dest!: tranclD subcls1D simp add: BaseCl_def ExtCl_def MainCl_def)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   315
apply (drule rtranclD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   316
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   317
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   318
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   319
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   320
lemma ws_idecl_HasFoo: "ws_idecl tprg HasFoo []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   321
apply (unfold ws_idecl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   322
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   323
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   324
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   325
lemma ws_cdecl_Object: "ws_cdecl tprg Object any"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   326
apply (unfold ws_cdecl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   327
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   328
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   329
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   330
lemma ws_cdecl_Throwable: "ws_cdecl tprg (SXcpt Throwable) Object"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   331
apply (unfold ws_cdecl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   332
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   333
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   334
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   335
lemma ws_cdecl_SXcpt: "ws_cdecl tprg (SXcpt xn) (SXcpt Throwable)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   336
apply (unfold ws_cdecl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   337
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   338
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   339
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   340
lemma ws_cdecl_Base: "ws_cdecl tprg Base Object"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   341
apply (unfold ws_cdecl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   342
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   343
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   344
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   345
lemma ws_cdecl_Ext: "ws_cdecl tprg Ext Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   346
apply (unfold ws_cdecl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   347
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   348
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   349
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   350
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
   351
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
   352
apply auto
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   353
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   354
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   355
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
   356
                   ws_cdecl_Base ws_cdecl_Ext ws_cdecl_Main
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   357
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   358
declare not_Object_subcls_any [rule del]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   359
          not_Throwable_subcls_SXcpt [rule del] 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   360
          not_SXcpt_n_subcls_SXcpt_n [rule del] 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   361
          not_Base_subcls_Ext [rule del] not_TName_n_subcls_TName_n [rule del]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   362
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   363
lemma ws_idecl_all: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   364
 "G=tprg \<Longrightarrow> (\<forall>(I,i)\<in>set Ifaces. ws_idecl G I (isuperIfs i))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   365
apply (simp (no_asm) add: Ifaces_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   366
apply (auto intro!: ws_idecl_HasFoo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   367
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   368
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   369
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
   370
apply (simp (no_asm) add: Classes_def BaseCl_def ExtCl_def MainCl_def)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   371
apply (auto intro!: ws_cdecls simp add: standard_classes_def ObjectC_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   372
        SXcptC_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   373
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   374
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   375
lemma ws_tprg: "ws_prog tprg"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   376
apply (unfold ws_prog_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   377
apply (auto intro!: ws_idecl_all ws_cdecl_all)
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
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   381
section "misc program properties (independent of well-structuredness)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   382
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   383
lemma single_iface [simp]: "is_iface tprg I = (I = HasFoo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   384
apply (unfold Ifaces_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   385
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   386
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   387
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   388
lemma empty_subint1 [simp]: "subint1 tprg = {}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   389
apply (unfold subint1_def Ifaces_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   390
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   391
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   392
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   393
lemma unique_ifaces: "unique Ifaces"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   394
apply (unfold Ifaces_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   395
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   396
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   397
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   398
lemma unique_classes: "unique Classes"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   399
apply (unfold table_classes_defs )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   400
apply (simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   401
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   402
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   403
lemma SXcpt_subcls_Throwable [simp]: "tprg\<turnstile>SXcpt xn\<preceq>\<^sub>C SXcpt Throwable"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   404
apply (rule SXcpt_subcls_Throwable_lemma)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   405
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   406
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   407
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   408
lemma Ext_subclseq_Base [simp]: "tprg\<turnstile>Ext \<preceq>\<^sub>C Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   409
apply (rule subcls_direct1)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   410
apply  (simp (no_asm) add: ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   411
apply  (simp add: Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   412
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   413
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   414
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   415
lemma Ext_subcls_Base [simp]: "tprg\<turnstile>Ext \<prec>\<^sub>C Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   416
apply (rule subcls_direct2)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   417
apply  (simp (no_asm) add: ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   418
apply  (simp add: Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   419
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   420
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   421
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   422
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   423
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   424
section "fields and method lookup"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   425
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   426
lemma fields_tprg_Object [simp]: "DeclConcepts.fields tprg Object = []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   427
by (rule ws_tprg [THEN fields_emptyI], force+)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   428
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   429
lemma fields_tprg_Throwable [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   430
  "DeclConcepts.fields tprg (SXcpt Throwable) = []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   431
by (rule ws_tprg [THEN fields_emptyI], force+)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   432
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   433
lemma fields_tprg_SXcpt [simp]: "DeclConcepts.fields tprg (SXcpt xn) = []"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   434
apply (case_tac "xn = Throwable")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   435
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   436
by (rule ws_tprg [THEN fields_emptyI], force+)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   437
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   438
lemmas fields_rec' = fields_rec [OF _ ws_tprg]
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   439
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   440
lemma fields_Base [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   441
"DeclConcepts.fields tprg Base 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   442
  = [((arr,Base), \<lparr>access=Public,static=True ,type=PrimT Boolean.[]\<rparr>),
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   443
     ((vee,Base), \<lparr>access=Public,static=False,type=Iface HasFoo    \<rparr>)]"
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   444
apply (subst fields_rec')
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   445
apply   (auto simp add: BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   446
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   447
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   448
lemma fields_Ext [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   449
 "DeclConcepts.fields tprg Ext  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   450
  = [((vee,Ext), \<lparr>access=Public,static=False,type= PrimT Integer\<rparr>)] 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   451
    @ DeclConcepts.fields tprg Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   452
apply (rule trans)
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   453
apply (rule fields_rec')
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   454
apply   (auto simp add: ExtCl_def Object_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   455
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   456
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   457
lemmas imethds_rec' = imethds_rec [OF _ ws_tprg]
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   458
lemmas methd_rec'  = methd_rec  [OF _ ws_tprg]
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   459
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   460
lemma imethds_HasFoo [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   461
  "imethds tprg HasFoo = o2s \<circ> empty(foo_sig\<mapsto>(HasFoo, foo_mhead))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   462
apply (rule trans)
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   463
apply (rule imethds_rec')
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   464
apply  (auto simp add: HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   465
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   466
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   467
lemma methd_tprg_Object [simp]: "methd tprg Object = empty"
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   468
apply (subst methd_rec')
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   469
apply (auto simp add: Object_mdecls_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   470
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   471
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   472
lemma methd_Base [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   473
  "methd tprg Base = table_of [(\<lambda>(s,m). (s, Base, m)) Base_foo]"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   474
apply (rule trans)
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   475
apply (rule methd_rec')
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   476
apply   (auto simp add: BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   477
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   478
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   479
lemma memberid_Base_foo_simp [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   480
 "memberid (mdecl Base_foo) = mid foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   481
by (simp add: Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   482
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   483
lemma memberid_Ext_foo_simp [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   484
 "memberid (mdecl Ext_foo) = mid foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   485
by (simp add: Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   486
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   487
lemma Base_declares_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   488
  "tprg\<turnstile>mdecl Base_foo declared_in Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   489
by (auto simp add: declared_in_def cdeclaredmethd_def BaseCl_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   490
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   491
lemma foo_sig_not_undeclared_in_Base:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   492
  "\<not> tprg\<turnstile>mid foo_sig undeclared_in Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   493
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   494
  from Base_declares_foo
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   495
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   496
    by (auto dest!: declared_not_undeclared )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   497
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   498
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   499
lemma Ext_declares_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   500
  "tprg\<turnstile>mdecl Ext_foo declared_in Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   501
by (auto simp add: declared_in_def cdeclaredmethd_def ExtCl_def Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   502
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   503
lemma foo_sig_not_undeclared_in_Ext:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   504
  "\<not> tprg\<turnstile>mid foo_sig undeclared_in Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   505
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   506
  from Ext_declares_foo
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   507
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   508
    by (auto dest!: declared_not_undeclared )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   509
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   510
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   511
lemma Base_foo_not_inherited_in_Ext:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   512
 "\<not> tprg \<turnstile> Ext inherits (Base,mdecl Base_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   513
by (auto simp add: inherits_def foo_sig_not_undeclared_in_Ext)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   514
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   515
lemma Ext_method_inheritance:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   516
 "filter_tab (\<lambda>sig m. tprg \<turnstile> Ext inherits method sig m)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   517
     (empty(fst ((\<lambda>(s, m). (s, Base, m)) Base_foo)\<mapsto>
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   518
      snd ((\<lambda>(s, m). (s, Base, m)) Base_foo)))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   519
  = empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   520
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   521
  from Base_foo_not_inherited_in_Ext
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   522
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   523
    by (auto intro: filter_tab_all_False simp add: Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   524
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   525
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   526
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   527
lemma methd_Ext [simp]: "methd tprg Ext =   
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   528
  table_of [(\<lambda>(s,m). (s, Ext, m)) Ext_foo]"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   529
apply (rule trans)
22708
fff918feff45 avoid internal names;
wenzelm
parents: 21404
diff changeset
   530
apply (rule methd_rec')
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   531
apply   (auto simp add: ExtCl_def Object_def Ext_method_inheritance)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   532
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   533
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   534
section "accessibility"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   535
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   536
lemma classesDefined: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   537
 "\<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
   538
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
   539
                      BaseCl_def ExtCl_def MainCl_def
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   540
                      SXcptC_def ObjectC_def) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   541
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   542
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   543
lemma superclassesBase [simp]: "superclasses tprg Base={Object}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   544
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   545
  have ws: "ws_prog tprg" by (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   546
  then show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   547
    by (auto simp add: superclasses_rec  BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   548
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   549
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   550
lemma superclassesExt [simp]: "superclasses tprg Ext={Base,Object}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   551
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   552
  have ws: "ws_prog tprg" by (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   553
  then show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   554
    by (auto simp add: superclasses_rec  ExtCl_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   555
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   556
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   557
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
   558
proof -
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   559
  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
   560
  then show ?thesis
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   561
    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
   562
qed
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   563
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   564
lemma HasFoo_accessible[simp]:"tprg\<turnstile>(Iface HasFoo) accessible_in P" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   565
by (simp add: accessible_in_RefT_simp is_public_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   566
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   567
lemma HasFoo_is_acc_iface[simp]: "is_acc_iface tprg P HasFoo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   568
by (simp add: is_acc_iface_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   569
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   570
lemma HasFoo_is_acc_type[simp]: "is_acc_type tprg P (Iface HasFoo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   571
by (simp add: is_acc_type_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   572
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   573
lemma Base_accessible[simp]:"tprg\<turnstile>(Class Base) accessible_in P" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   574
by (simp add: accessible_in_RefT_simp is_public_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   575
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   576
lemma Base_is_acc_class[simp]: "is_acc_class tprg P Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   577
by (simp add: is_acc_class_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   578
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   579
lemma Base_is_acc_type[simp]: "is_acc_type tprg P (Class Base)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   580
by (simp add: is_acc_type_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   581
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   582
lemma Ext_accessible[simp]:"tprg\<turnstile>(Class Ext) accessible_in P" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   583
by (simp add: accessible_in_RefT_simp is_public_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   584
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   585
lemma Ext_is_acc_class[simp]: "is_acc_class tprg P Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   586
by (simp add: is_acc_class_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   587
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   588
lemma Ext_is_acc_type[simp]: "is_acc_type tprg P (Class Ext)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   589
by (simp add: is_acc_type_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   590
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   591
lemma accmethd_tprg_Object [simp]: "accmethd tprg S Object = empty"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   592
apply (unfold accmethd_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   593
apply (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   594
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   595
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   596
lemma  snd_special_simp: "snd ((\<lambda>(s, m). (s, a, m)) x) = (a,snd x)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   597
by (cases x) (auto)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   598
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   599
lemma  fst_special_simp: "fst ((\<lambda>(s, m). (s, a, m)) x) = fst x"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   600
by (cases x) (auto)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   601
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   602
lemma foo_sig_undeclared_in_Object:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   603
  "tprg\<turnstile>mid foo_sig undeclared_in Object"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   604
by (auto simp add: undeclared_in_def cdeclaredmethd_def Object_mdecls_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   605
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   606
lemma unique_sig_Base_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   607
 "tprg\<turnstile> mdecl (sig, snd Base_foo) declared_in Base \<Longrightarrow> sig=foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   608
by (auto simp add: declared_in_def cdeclaredmethd_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   609
                   Base_foo_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   610
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   611
lemma Base_foo_no_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   612
 "tprg,sig\<turnstile>(Base,(snd Base_foo)) overrides old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   613
apply (drule overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   614
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   615
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   616
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   617
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   618
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   619
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   620
apply (frule unique_sig_Base_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   621
apply (auto dest!: declared_not_undeclared intro: foo_sig_undeclared_in_Object
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   622
            dest: unique_sig_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   623
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   624
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   625
lemma Base_foo_no_stat_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   626
 "tprg,sig\<turnstile>(Base,(snd Base_foo)) overrides\<^sub>S old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   627
apply (drule stat_overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   628
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   629
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   630
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   631
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   632
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   633
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   634
apply (frule unique_sig_Base_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   635
apply (auto dest!: declared_not_undeclared intro: foo_sig_undeclared_in_Object
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   636
            dest: unique_sig_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   637
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   638
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   639
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   640
lemma Base_foo_no_hide:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   641
 "tprg,sig\<turnstile>(Base,(snd Base_foo)) hides old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   642
by (auto dest: hidesD simp add: Base_foo_def member_is_static_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   643
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   644
lemma Ext_foo_no_hide:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   645
 "tprg,sig\<turnstile>(Ext,(snd Ext_foo)) hides old \<Longrightarrow> P"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   646
by (auto dest: hidesD simp add: Ext_foo_def member_is_static_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   647
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   648
lemma unique_sig_Ext_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   649
 "tprg\<turnstile> mdecl (sig, snd Ext_foo) declared_in Ext \<Longrightarrow> sig=foo_sig"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   650
by (auto simp add: declared_in_def cdeclaredmethd_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   651
                   Ext_foo_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   652
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   653
lemma Ext_foo_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   654
 "tprg,sig\<turnstile>(Ext,(snd Ext_foo)) overrides old 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   655
  \<Longrightarrow> old = (Base,(snd Base_foo))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   656
apply (drule overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   657
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   658
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   659
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   660
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   661
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   662
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   663
apply (frule unique_sig_Ext_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   664
apply (case_tac "old")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   665
apply (insert Base_declares_foo foo_sig_undeclared_in_Object) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   666
apply (auto simp add: ExtCl_def Ext_foo_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   667
                      BaseCl_def Base_foo_def Object_mdecls_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   668
                      split_paired_all
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   669
                      member_is_static_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   670
           dest: declared_not_undeclared unique_declaration)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   671
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   672
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   673
lemma Ext_foo_stat_override:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   674
 "tprg,sig\<turnstile>(Ext,(snd Ext_foo)) overrides\<^sub>S old 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   675
  \<Longrightarrow> old = (Base,(snd Base_foo))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   676
apply (drule stat_overrides_commonD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   677
apply (clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   678
apply (frule subclsEval)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   679
apply    (rule ws_tprg)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   680
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   681
apply    (rule classesDefined) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   682
apply    assumption+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   683
apply (frule unique_sig_Ext_foo) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   684
apply (case_tac "old")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   685
apply (insert Base_declares_foo foo_sig_undeclared_in_Object) 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   686
apply (auto simp add: ExtCl_def Ext_foo_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   687
                      BaseCl_def Base_foo_def Object_mdecls_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   688
                      split_paired_all
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   689
                      member_is_static_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   690
           dest: declared_not_undeclared unique_declaration)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   691
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   692
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   693
lemma Base_foo_member_of_Base: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   694
  "tprg\<turnstile>(Base,mdecl Base_foo) member_of Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   695
by (auto intro!: members.Immediate Base_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 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
   698
  "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
   699
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
   700
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   701
lemma Ext_foo_member_of_Ext: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   702
  "tprg\<turnstile>(Ext,mdecl Ext_foo) member_of Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   703
by (auto intro!: members.Immediate Ext_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   704
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   705
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
   706
  "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
   707
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
   708
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   709
lemma Base_foo_permits_acc:
14030
cd928c0ac225 Adapted to changes in Map.thy
schirmer
parents: 13688
diff changeset
   710
 "tprg \<turnstile> (Base, mdecl Base_foo) in Base permits_acc_from S"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   711
by ( simp add: permits_acc_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   712
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   713
lemma Base_foo_accessible [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   714
 "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
   715
by (auto intro: accessible_fromR.Immediate 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   716
                Base_foo_member_of_Base Base_foo_permits_acc)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   717
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   718
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
   719
 "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
   720
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
   721
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
   722
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
   723
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   724
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   725
lemma accmethd_Base [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   726
  "accmethd tprg S Base = methd tprg Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   727
apply (simp add: accmethd_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   728
apply (rule filter_tab_all_True)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   729
apply (simp add: snd_special_simp fst_special_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   730
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   731
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   732
lemma Ext_foo_permits_acc:
14030
cd928c0ac225 Adapted to changes in Map.thy
schirmer
parents: 13688
diff changeset
   733
 "tprg \<turnstile> (Ext, mdecl Ext_foo) in Ext permits_acc_from S"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   734
by ( simp add: permits_acc_def Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   735
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   736
lemma Ext_foo_accessible [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   737
 "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
   738
by (auto intro: accessible_fromR.Immediate 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   739
                Ext_foo_member_of_Ext Ext_foo_permits_acc)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   740
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   741
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
   742
 "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
   743
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
   744
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
   745
apply   (rule Ext_foo_permits_acc)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   746
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   747
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   748
lemma Ext_foo_overrides_Base_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   749
 "tprg\<turnstile>(Ext,Ext_foo) overrides (Base,Base_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   750
proof (rule overridesR.Direct, simp_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   751
  show "\<not> is_static Ext_foo" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   752
    by (simp add: member_is_static_simp Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   753
  show "\<not> is_static Base_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   754
    by (simp add: member_is_static_simp Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   755
  show "accmodi Ext_foo \<noteq> Private"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   756
    by (simp add: Ext_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   757
  show "msig (Ext, Ext_foo) = msig (Base, Base_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   758
    by (simp add: Ext_foo_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   759
  show "tprg\<turnstile>mdecl Ext_foo declared_in Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   760
    by (auto intro: Ext_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   761
  show "tprg\<turnstile>mdecl Base_foo declared_in Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   762
    by (auto intro: Base_declares_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   763
  show "tprg \<turnstile>(Base, mdecl Base_foo) inheritable_in java_lang"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   764
    by (simp add: inheritable_in_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   765
  show "tprg\<turnstile>resTy Ext_foo\<preceq>resTy Base_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   766
    by (simp add: Ext_foo_def Base_foo_def mhead_resTy_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   767
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   768
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   769
lemma accmethd_Ext [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   770
  "accmethd tprg S Ext = methd tprg Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   771
apply (simp add: accmethd_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   772
apply (rule filter_tab_all_True)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   773
apply (auto simp add: snd_special_simp fst_special_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   774
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   775
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   776
lemma cls_Ext: "class tprg Ext = Some ExtCl"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   777
by simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   778
lemma dynmethd_Ext_foo:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   779
 "dynmethd tprg Base Ext \<lparr>name = foo, parTs = [Class Base]\<rparr> 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   780
  = Some (Ext,snd Ext_foo)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   781
proof -
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   782
  have "methd tprg Base \<lparr>name = foo, parTs = [Class Base]\<rparr> 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   783
          = Some (Base,snd Base_foo)" and
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   784
       "methd tprg Ext \<lparr>name = foo, parTs = [Class Base]\<rparr> 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   785
          = Some (Ext,snd Ext_foo)" 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   786
    by (auto simp add: Ext_foo_def Base_foo_def foo_sig_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   787
  with cls_Ext ws_tprg Ext_foo_overrides_Base_foo
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   788
  show ?thesis
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   789
    by (auto simp add: dynmethd_rec simp add: Ext_foo_def Base_foo_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   790
qed
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   791
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   792
lemma Base_fields_accessible[simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   793
 "accfield tprg S Base 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   794
  = table_of((map (\<lambda>((n,d),f).(n,(d,f)))) (DeclConcepts.fields tprg Base))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   795
apply (auto simp add: accfield_def expand_fun_eq Let_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   796
                      accessible_in_RefT_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   797
                      is_public_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   798
                      BaseCl_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   799
                      permits_acc_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   800
                      declared_in_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   801
                      cdeclaredfield_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   802
               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
   803
                       accessible_fromR.Immediate
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   804
               intro: members.Immediate)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   805
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   806
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   807
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   808
lemma arr_member_of_Base:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   809
  "tprg\<turnstile>(Base, fdecl (arr, 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   810
                 \<lparr>access = Public, static = True, type = PrimT Boolean.[]\<rparr>))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   811
          member_of Base"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   812
by (auto intro: members.Immediate 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   813
       simp add: declared_in_def cdeclaredfield_def BaseCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   814
 
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   815
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
   816
  "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
   817
                 \<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
   818
          member_in Base"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   819
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
   820
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   821
lemma arr_member_of_Ext:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   822
  "tprg\<turnstile>(Base, fdecl (arr, 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   823
                    \<lparr>access = Public, static = True, type = PrimT Boolean.[]\<rparr>))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   824
             member_of Ext"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   825
apply (rule members.Inherited)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   826
apply   (simp add: inheritable_in_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   827
apply   (simp add: undeclared_in_def cdeclaredfield_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   828
apply   (auto intro: arr_member_of_Base simp add: subcls1_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   829
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   830
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   831
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
   832
  "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
   833
                 \<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
   834
          member_in Ext"
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   835
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
   836
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   837
lemma Ext_fields_accessible[simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   838
"accfield tprg S Ext 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   839
  = table_of((map (\<lambda>((n,d),f).(n,(d,f)))) (DeclConcepts.fields tprg Ext))"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   840
apply (auto simp add: accfield_def expand_fun_eq Let_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   841
                      accessible_in_RefT_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   842
                      is_public_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   843
                      BaseCl_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   844
                      ExtCl_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   845
                      permits_acc_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   846
               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
   847
                       accessible_fromR.Immediate)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   848
apply (auto intro: members.Immediate arr_member_of_Ext
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   849
            simp add: declared_in_def cdeclaredfield_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   850
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   851
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   852
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
   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 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
   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_Base)
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
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   860
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
   861
"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
   862
       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
   863
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
   864
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
   865
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
   866
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   867
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   868
lemma array_of_PrimT_acc [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   869
 "is_acc_type tprg java_lang (PrimT t.[])"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   870
apply (simp add: is_acc_type_def accessible_in_RefT_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   871
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   872
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   873
lemma PrimT_acc [simp]: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   874
 "is_acc_type tprg java_lang (PrimT t)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   875
apply (simp add: is_acc_type_def accessible_in_RefT_simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   876
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   877
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   878
lemma Object_acc [simp]:
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   879
 "is_acc_class tprg java_lang Object"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   880
apply (auto simp add: is_acc_class_def accessible_in_RefT_simp is_public_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   881
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   882
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   883
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   884
section "well-formedness"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   885
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   886
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   887
lemma wf_HasFoo: "wf_idecl tprg (HasFoo, HasFooInt)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   888
apply (unfold wf_idecl_def HasFooInt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   889
apply (auto intro!: wf_mheadI ws_idecl_HasFoo 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   890
            simp add: foo_sig_def foo_mhead_def mhead_resTy_simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   891
                      member_is_static_simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   892
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   893
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   894
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
   895
declare member_is_static_simp [simp]
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   896
declare wt.Skip [rule del] wt.Init [rule del]
24019
67bde7cfcf10 tuned ML/simproc declarations;
wenzelm
parents: 22708
diff changeset
   897
ML_setup {* bind_thms ("wt_intros", map (rewrite_rule @{thms id_def}) @{thms wt.intros}) *}
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
   898
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
   899
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
   900
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   901
lemmas Base_foo_defs = Base_foo_def foo_sig_def foo_mhead_def
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   902
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
   903
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the 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
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the 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
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   906
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   907
lemma wf_Base_foo: "wf_mdecl tprg Base Base_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   908
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
   909
apply (auto intro!: wf_mdeclI wf_mheadI intro!: wtIs 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   910
            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
   911
(* 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
   912
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
   913
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
   914
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
   915
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
   916
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
   917
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
   918
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
   919
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
   920
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
   921
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
   922
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
   923
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
   924
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
   925
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
   926
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
   927
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
   928
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
   929
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
   930
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
   931
apply (simp)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   932
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   933
13688
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   934
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   935
lemma wf_Ext_foo: "wf_mdecl tprg Ext Ext_foo"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   936
apply (unfold Ext_foo_defs )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   937
apply (auto intro!: wf_mdeclI wf_mheadI intro!: wtIs 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   938
            simp add: mhead_resTy_simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   939
apply  (rule wt.Cast)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   940
prefer 2
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   941
apply    simp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   942
apply   (rule_tac [2] narrow.subcls [THEN cast.narrow])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   943
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
   944
(* 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
   945
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
   946
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
   947
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
   948
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
   949
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
   950
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
   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.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
   953
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
   954
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
   955
apply        simp
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
   956
apply       (rule 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_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
   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 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
   961
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
   962
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
   963
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
   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      (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
   967
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
   968
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
   969
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
   970
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
   971
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
   972
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
   973
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
   974
apply simp
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   975
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   976
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   977
declare mhead_resTy_simp [simp add]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   978
declare member_is_static_simp [simp add]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   979
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   980
lemma wf_BaseC: "wf_cdecl tprg (Base,BaseCl)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   981
apply (unfold wf_cdecl_def BaseCl_def arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   982
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
   983
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
   984
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
   985
(* 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
   986
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
   987
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
   988
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
   989
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
   990
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
   991
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
   992
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
   993
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
   994
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
   995
apply  (rule da.Lit)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   996
apply (auto simp add: Base_foo_defs entails_def Let_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   997
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
   998
apply (insert Base_foo_no_hide         , simp add: Base_foo_def,blast)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
   999
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1000
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1001
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1002
lemma wf_ExtC: "wf_cdecl tprg (Ext,ExtCl)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1003
apply (unfold wf_cdecl_def ExtCl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1004
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
  1005
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
  1006
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
  1007
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
  1008
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
  1009
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
  1010
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
  1011
apply  (insert Ext_foo_no_hide)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1012
apply  (simp_all add: qmdecl_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1013
apply  blast+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1014
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1015
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1016
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
  1017
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
  1018
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
  1019
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
  1020
done
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1021
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1022
lemma wf_idecl_all: "p=tprg \<Longrightarrow> Ball (set Ifaces) (wf_idecl p)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1023
apply (simp (no_asm) add: Ifaces_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1024
apply (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1025
apply (rule wf_HasFoo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1026
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1027
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1028
lemma wf_cdecl_all_standard_classes: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1029
  "Ball (set standard_classes) (wf_cdecl tprg)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1030
apply (unfold standard_classes_def Let_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1031
       ObjectC_def SXcptC_def Object_mdecls_def SXcpt_mdecls_def)
18576
8d98b7711e47 Reversed Larry's option/iff change.
nipkow
parents: 18551
diff changeset
  1032
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
  1033
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
  1034
            intro: da.Skip)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1035
apply (auto simp add: Object_def Classes_def standard_classes_def 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1036
                      SXcptC_def SXcpt_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1037
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1038
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1039
lemma wf_cdecl_all: "p=tprg \<Longrightarrow> Ball (set Classes) (wf_cdecl p)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1040
apply (simp (no_asm) add: Classes_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1041
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
  1042
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
  1043
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
  1044
apply  (rule wf_MainC [THEN conjI])
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1045
apply (rule wf_cdecl_all_standard_classes)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1046
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1047
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1048
theorem wf_tprg: "wf_prog tprg"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1049
apply (unfold wf_prog_def Let_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1050
apply (simp (no_asm) add: unique_ifaces unique_classes)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1051
apply (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1052
apply  ((simp (no_asm) add: Classes_def standard_classes_def))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1053
apply (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1054
apply (simp add: Object_mdecls_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1055
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
  1056
apply  (cut_tac xn_cases)   
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1057
apply  (simp (no_asm_simp) add: Classes_def standard_classes_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1058
apply  (insert wf_idecl_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1059
apply  (insert wf_cdecl_all)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1060
apply  auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1061
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1062
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1063
section "max spec"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1064
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1065
lemma appl_methds_Base_foo: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1066
"appl_methds tprg S (ClassT Base) \<lparr>name=foo, parTs=[NT]\<rparr> =  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1067
  {((ClassT Base, \<lparr>access=Public,static=False,pars=[z],resT=Class Base\<rparr>)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1068
    ,[Class Base])}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1069
apply (unfold appl_methds_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1070
apply (simp (no_asm))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1071
apply (subgoal_tac "tprg\<turnstile>NT\<preceq> Class Base")
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1072
apply  (auto simp add: cmheads_def Base_foo_defs)
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
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
  1076
  {((ClassT Base, \<lparr>access=Public,static=False,pars=[z],resT=Class Base\<rparr>)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1077
   , [Class Base])}"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1078
apply (unfold max_spec_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1079
apply (simp (no_asm) add: appl_methds_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1080
apply auto
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1081
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1082
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1083
section "well-typedness"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1084
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1085
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
  1086
apply (unfold test_def arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1087
(* ?pTs = [Class Base] *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1088
apply (rule wtIs (* ;; *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1089
apply  (rule wtIs (* Ass *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1090
apply  (rule wtIs (* NewC *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1091
apply     (rule wtIs (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1092
apply      (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1093
apply     (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1094
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1095
apply   (rule wtIs (* NewC *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1096
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1097
apply  (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1098
apply (rule wtIs (* Try *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1099
prefer 4
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1100
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1101
defer
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1102
apply    (rule wtIs (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1103
apply    (rule wtIs (* Call *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1104
apply       (rule wtIs (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1105
apply       (rule wtIs (* LVar *))
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      (rule wtIs (* Cons *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1109
apply       (rule wtIs (* Lit *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1110
apply       (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1111
apply      (rule wtIs (* Nil *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1112
apply     (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1113
apply     (rule max_spec_Base_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1114
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1115
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1116
apply  (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1117
apply  (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1118
apply  (simp)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1119
apply (rule wtIs (* While *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1120
apply  (rule wtIs (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1121
apply   (rule wtIs (* AVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1122
apply   (rule wtIs (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1123
apply   (rule wtIs (* FVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1124
apply    (rule wtIs (* StatRef *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1125
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1126
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1127
apply   (simp )
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1128
apply   (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1129
apply   (simp)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1130
apply  (rule wtIs (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1131
apply  (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1132
apply (rule wtIs (* Skip *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1133
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1134
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
  1135
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
  1136
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the 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
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
  1138
                  \<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
  1139
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
  1140
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
  1141
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
  1142
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
  1143
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
  1144
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
  1145
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
  1146
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
  1147
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
  1148
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
  1149
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
  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 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
  1152
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
  1153
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
  1154
apply       (rule da.Lit)
a0b16d42d489 "Definite Assignment Analysis" included, with proof of correctness. Large adjustments of type safety proof and soundness proof of the axiomatic semantics were necessary. Completeness proof of the loop rule of the axiomatic semantic was altered. So the additional polymorphic variants of some rules could be removed.
schirmer
parents: 13524
diff changeset
  1155
apply      (rule da.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
  1156
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
  1157
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
  1158
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
  1159
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
  1160
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
  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         (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
  1163
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
  1164
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
  1165
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
  1166
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
  1167
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
  1168
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
  1169
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
  1170
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
  1171
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
  1172
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
  1173
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
  1174
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
  1175
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
  1176
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
  1177
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1178
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1179
section "execution"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1180
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1181
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
  1182
  new_Addr h = Some a \<and> atleast_free (h(a\<mapsto>obj)) n"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1183
apply (frule atleast_free_SucD)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1184
apply (drule atleast_free_Suc [THEN iffD1])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1185
apply clarsimp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1186
apply (frule new_Addr_SomeI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1187
apply force
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1188
done
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1189
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1190
declare fvar_def2 [simp] avar_def2 [simp] init_lvars_def2 [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1191
declare init_obj_def [simp] var_tys_def [simp] fields_table_def [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1192
declare BaseCl_def [simp] ExtCl_def [simp] Ext_foo_def [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1193
        Base_foo_defs  [simp]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1194
24019
67bde7cfcf10 tuned ML/simproc declarations;
wenzelm
parents: 22708
diff changeset
  1195
ML_setup {* bind_thms ("eval_intros", map 
26342
0f65fa163304 more antiquotations;
wenzelm
parents: 24019
diff changeset
  1196
        (simplify (@{simpset} delsimps @{thms Skip_eq}
24019
67bde7cfcf10 tuned ML/simproc declarations;
wenzelm
parents: 22708
diff changeset
  1197
                             addsimps @{thms lvar_def}) o 
67bde7cfcf10 tuned ML/simproc declarations;
wenzelm
parents: 22708
diff changeset
  1198
         rewrite_rule [@{thm assign_def}, @{thm Let_def}]) @{thms eval.intros}) *}
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1199
lemmas eval_Is = eval_Init eval_StatRef AbruptIs eval_intros
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1200
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1201
consts
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1202
  a :: loc
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1203
  b :: loc
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1204
  c :: loc
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1205
21404
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
  1206
abbreviation "one == Suc 0"
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
  1207
abbreviation "two == Suc one"
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
  1208
abbreviation "tree == Suc two"
eb85850d3eb7 more robust syntax for definition/abbreviation/notation;
wenzelm
parents: 20769
diff changeset
  1209
abbreviation "four == Suc tree"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1210
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1211
syntax
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1212
  obj_a :: obj
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1213
  obj_b :: obj
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1214
  obj_c :: obj
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1215
  arr_N :: "(vn, val) table"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1216
  arr_a :: "(vn, val) table"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1217
  globs1 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1218
  globs2 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1219
  globs3 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1220
  globs8 :: globs
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1221
  locs3 :: locals
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1222
  locs4 :: locals
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1223
  locs8 :: locals
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1224
  s0  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1225
  s0' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1226
  s9' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1227
  s1  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1228
  s1' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1229
  s2  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1230
  s2' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1231
  s3  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1232
  s3' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1233
  s4  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1234
  s4' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1235
  s6' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1236
  s7' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1237
  s8  :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1238
  s8' :: state
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1239
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1240
translations
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1241
  "obj_a"   <= "\<lparr>tag=Arr (PrimT Boolean) (CONST two)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1242
                ,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
  1243
  "obj_b"   <= "\<lparr>tag=CInst (CONST Ext)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1244
                ,values=(CONST empty(Inl (CONST vee, CONST Base)\<mapsto>Null   ) 
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1245
                              (Inl (CONST vee, CONST Ext )\<mapsto>Intg 0))\<rparr>"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1246
  "obj_c"   == "\<lparr>tag=CInst (SXcpt NullPointer),values=CONST empty\<rparr>"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1247
  "arr_N"   == "CONST empty(Inl (CONST arr, CONST Base)\<mapsto>Null)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1248
  "arr_a"   == "CONST empty(Inl (CONST arr, CONST Base)\<mapsto>Addr a)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1249
  "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
  1250
                     (Inr (CONST Base)  \<mapsto>\<lparr>tag=arbitrary, values=arr_N\<rparr>)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1251
                     (Inr Object\<mapsto>\<lparr>tag=arbitrary, values=CONST empty\<rparr>)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1252
  "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
  1253
                     (Inr Object\<mapsto>\<lparr>tag=arbitrary, values=CONST empty\<rparr>)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1254
                     (Inl a\<mapsto>obj_a)
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1255
                     (Inr (CONST Base)  \<mapsto>\<lparr>tag=arbitrary, values=arr_a\<rparr>)"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1256
  "globs3"  == "globs2(Inl b\<mapsto>obj_b)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1257
  "globs8"  == "globs3(Inl c\<mapsto>obj_c)"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1258
  "locs3"   == "CONST empty(VName (CONST e)\<mapsto>Addr b)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1259
  "locs4"   == "CONST empty(VName (CONST z)\<mapsto>Null)(Inr()\<mapsto>Addr b)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1260
  "locs8"   == "locs3(VName (CONST z)\<mapsto>Addr c)"
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1261
  "s0"  == "       st (CONST empty) (CONST empty)"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1262
  "s0'" == " Norm  s0"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1263
  "s1"  == "       st globs1 (CONST empty)"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1264
  "s1'" == " Norm  s1"
20769
5d538d3d5e2a replaced syntax/translations by abbreviation;
wenzelm
parents: 18576
diff changeset
  1265
  "s2"  == "       st globs2 (CONST empty)"
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1266
  "s2'" == " Norm  s2"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1267
  "s3"  == "       st globs3 locs3 "
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1268
  "s3'" == " Norm  s3"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1269
  "s4"  == "       st globs3 locs4"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1270
  "s4'" == " Norm  s4"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1271
  "s6'" == "(Some (Xcpt (Std NullPointer)), s4)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1272
  "s7'" == "(Some (Xcpt (Std NullPointer)), s3)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1273
  "s8"  == "       st globs8 locs8"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1274
  "s8'" == " Norm  s8"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1275
  "s9'" == "(Some (Xcpt (Std IndOutBound)), s8)"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1276
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1277
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1278
declare Pair_eq [simp del]
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1279
lemma exec_test: 
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1280
"\<lbrakk>the (new_Addr (heap  s1)) = a;  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1281
  the (new_Addr (heap ?s2)) = b;  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1282
  the (new_Addr (heap ?s3)) = c\<rbrakk> \<Longrightarrow>  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1283
  atleast_free  (heap s0) four \<Longrightarrow>  
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1284
  tprg\<turnstile>s0' \<midarrow>test [Class Base]\<rightarrow> ?s9'"
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1285
apply (unfold test_def arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1286
(* ?s9' = s9' *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1287
apply (simp (no_asm_use))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1288
apply (drule (1) alloc_one,clarsimp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1289
apply (rule eval_Is (* ;; *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1290
apply  (erule_tac V = "the (new_Addr ?h) = c" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1291
apply  (erule_tac [2] V = "new_Addr ?h = Some a" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1292
apply  (erule_tac [2] V = "atleast_free ?h four" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1293
apply  (rule eval_Is (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1294
apply  (rule eval_Is (* Ass *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1295
apply   (rule eval_Is (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1296
apply  (rule eval_Is (* NewC *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1297
      (* begin init Ext *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1298
apply   (erule_tac V = "the (new_Addr ?h) = b" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1299
apply   (erule_tac V = "atleast_free ?h tree" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1300
apply   (erule_tac [2] V = "atleast_free ?h four" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1301
apply   (erule_tac [2] V = "new_Addr ?h = Some a" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1302
apply   (rule eval_Is (* Init Ext *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1303
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1304
apply   (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1305
prefer 2 apply (rule conjI HOL.refl)+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1306
apply   (rule eval_Is (* Init Base *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1307
apply   (simp add: arr_viewed_from_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1308
apply   (rule conjI)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1309
apply    (rule eval_Is (* Init Object *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1310
apply    (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1311
apply    (rule conjI, rule HOL.refl)+
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1312
apply    (rule HOL.refl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1313
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1314
apply   (rule conjI, rule_tac [2] HOL.refl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1315
apply   (rule eval_Is (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1316
apply   (rule eval_Is (* Ass *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1317
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
  1318
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
  1319
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
  1320
apply       (simp)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1321
apply     (simp add: check_field_access_def Let_def) 
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1322
apply   (rule eval_Is (* NewA *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1323
apply     (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1324
apply    (rule eval_Is (* Lit *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1325
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1326
apply   (rule halloc.New)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1327
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
  1328
apply   (drule atleast_free_weaken,drule atleast_free_weaken)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1329
apply   (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1330
apply  (simp add: upd_gobj_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1331
      (* end init Ext *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1332
apply  (rule halloc.New)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1333
apply   (drule alloc_one)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1334
prefer 2 apply fast
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1335
apply   (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1336
apply  (drule atleast_free_weaken)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1337
apply  force
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1338
apply (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1339
apply (drule alloc_one)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1340
apply  (simp (no_asm_simp))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1341
apply clarsimp
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1342
apply (erule_tac V = "atleast_free ?h tree" in thin_rl)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1343
apply (drule_tac x = "a" in new_AddrD2 [THEN spec])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1344
apply (simp (no_asm_use))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1345
apply (rule eval_Is (* Try *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1346
apply   (rule eval_Is (* Expr *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1347
      (* begin method call *)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1348
apply   (rule eval_Is (* Call *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1349
apply      (rule eval_Is (* Acc *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1350
apply      (rule eval_Is (* LVar *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1351
apply     (rule eval_Is (* Cons *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1352
apply      (rule eval_Is (* Lit *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1353
apply     (rule eval_Is (* Nil *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1354
apply    (simp)
12925
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1355
apply    (simp)
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1356
apply    (subgoal_tac
99131847fb93 Added check for field/method access to operational semantics and proved the acesses valid.
schirmer
parents: 12858
diff changeset
  1357
             "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
  1358
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
  1359
                      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
  1360
apply      (rule Ext_foo_dyn_accessible)
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1361
apply   (rule eval_Is (* Methd *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1362
apply   (simp add: body_def Let_def)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1363
apply   (rule eval_Is (* Body *))
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1364
apply     (rule init_done, simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1365
apply       (simp add: invocation_declclass_def dynlookup_def dynmethd_Ext_foo)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1366
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
  1367
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
  1368
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
  1369
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
  1370
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
  1371
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
  1372
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
  1373
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
  1374
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
  1375
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
  1376
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
  1377
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
  1378
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
  1379
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
  1380
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
  1381
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
  1382
apply    (rule eval_Is (* Comp *))
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1383
apply   (simp)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1384
      (* 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
  1385
apply  simp
12854
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1386
apply  (rule sxalloc.intros)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1387
apply  (rule halloc.New)
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1388
apply   (erule alloc_one [THEN conjunct1])
00d4a435777f Isabelle/Bali sources;
schirmer
parents:
diff changeset
  1389
apply   (simp (no_asm_simp))