src/HOL/Bali/Term.thy

Added conditional and (&&) and or (||).

(*  Title:      HOL/Bali/Term.thy
    ID:         $Id$
    Author:     David von Oheimb
    License:    GPL (GNU GENERAL PUBLIC LICENSE)
*)

header {* Java expressions and statements *}

theory Term = Value + Table:

text {*
design issues:
\begin{itemize}
\item invocation frames for local variables could be reduced to special static
  objects (one per method). This would reduce redundancy, but yield a rather
  non-standard execution model more difficult to understand.
\item method bodies separated from calls to handle assumptions in axiomat. 
  semantics
  NB: Body is intended to be in the environment of the called method.
\item class initialization is regarded as (auxiliary) statement 
      (required for AxSem)
\item result expression of method return is handled by a special result variable
  result variable is treated uniformly with local variables
  \begin{itemize}
  \item[+] welltypedness and existence of the result/return expression is 
           ensured without extra efford
  \end{itemize}
\end{itemize}

simplifications:
\begin{itemize}
\item expression statement allowed for any expression
\item no unary, binary, etc, operators
\item This  is modeled as a special non-assignable local variable
\item Super is modeled as a general expression with the same value as This
\item access to field x in current class via This.x
\item NewA creates only one-dimensional arrays;
  initialization of further subarrays may be simulated with nested NewAs
\item The 'Lit' constructor is allowed to contain a reference value.
  But this is assumed to be prohibited in the input language, which is enforced
  by the type-checking rules.
\item a call of a static method via a type name may be simulated by a dummy 
      variable
\item no nested blocks with inner local variables
\item no synchronized statements
\item no secondary forms of if, while (e.g. no for) (may be easily simulated)
\item no switch (may be simulated with if)
\item the @{text try_catch_finally} statement is divided into the 
      @{text try_catch} statement 
      and a finally statement, which may be considered as try..finally with 
      empty catch
\item the @{text try_catch} statement has exactly one catch clause; 
      multiple ones can be
  simulated with instanceof
\item the compiler is supposed to add the annotations {@{text _}} during 
      type-checking. This
  transformation is left out as its result is checked by the type rules anyway
\end{itemize}
*}



types locals = "(lname, val) table"  --{* local variables *}


datatype jump
        = Break label --{* break *}
        | Cont label  --{* continue *}
        | Ret         --{* return from method *}

datatype xcpt        --{* exception *}
	= Loc loc    --{* location of allocated execption object *}
	| Std xname  --{* intermediate standard exception, see Eval.thy *}

datatype error
       = AccessViolation --{* Access to a member that isn't permitted *}

datatype abrupt       --{* abrupt completion *} 
        = Xcpt xcpt   --{* exception *}
        | Jump jump   --{* break, continue, return *}
        | Error error -- {* runtime errors, we wan't to detect and proof absent
                            in welltyped programms *}
types
  abopt  = "abrupt option"

text {* Local variable store and exception. 
Anticipation of State.thy used by smallstep semantics. For a method call, 
we save the local variables of the caller in the term Callee to restore them 
after method return. Also an exception must be restored after the finally
statement *}

translations
 "locals" <= (type) "(lname, val) table"

datatype inv_mode                  --{* invocation mode for method calls *}
	= Static                   --{* static *}
	| SuperM                   --{* super  *}
	| IntVir                   --{* interface or virtual *}

record  sig =              --{* signature of a method, cf. 8.4.2  *}
	  name ::"mname"   --{* acutally belongs to Decl.thy *}
          parTs::"ty list"        

translations
  "sig" <= (type) "\<lparr>name::mname,parTs::ty list\<rparr>"
  "sig" <= (type) "\<lparr>name::mname,parTs::ty list,\<dots>::'a\<rparr>"

--{* function codes for unary operations *}
datatype unop =  UPlus    -- {*{\tt +} unary plus*} 
               | UMinus   -- {*{\tt -} unary minus*}
               | UBitNot  -- {*{\tt ~} bitwise NOT*}
               | UNot     -- {*{\tt !} logical complement*}

--{* function codes for binary operations *}
datatype binop = Mul     -- {*{\tt * }   multiplication*}
               | Div     -- {*{\tt /}   division*}
               | Mod     -- {*{\tt \%}   remainder*}
               | Plus    -- {*{\tt +}   addition*}
               | Minus   -- {*{\tt -}   subtraction*}
               | LShift  -- {*{\tt <<}  left shift*}
               | RShift  -- {*{\tt >>}  signed right shift*}
               | RShiftU -- {*{\tt >>>} unsigned right shift*}
               | Less    -- {*{\tt <}   less than*}
               | Le      -- {*{\tt <=}  less than or equal*}
               | Greater -- {*{\tt >}   greater than*}
               | Ge      -- {*{\tt >=}  greater than or equal*}
               | Eq      -- {*{\tt ==}  equal*}
               | Neq     -- {*{\tt !=}  not equal*}
               | BitAnd  -- {*{\tt \&}   bitwise AND*}
               | And     -- {*{\tt \&}   boolean AND*}
               | BitXor  -- {*{\texttt \^}   bitwise Xor*}
               | Xor     -- {*{\texttt \^}   boolean Xor*}
               | BitOr   -- {*{\tt |}   bitwise Or*}
               | Or      -- {*{\tt |}   boolean Or*}
               | CondAnd -- {*{\tt \&\&}  conditional And*}
               | CondOr  -- {*{\tt ||}  conditional Or *}
text{* The boolean operators {\tt \&} and {\tt |} strictly evaluate both
of their arguments. The conditional operators {\tt \&\&} and {\tt ||} only 
evaluate the second argument if the value of the whole expression isn't 
allready determined by the first argument.
e.g.: {\tt false \&\& e} e is not evaluated;  
      {\tt true || e} e is not evaluated; 
*}

datatype var
	= LVar lname --{* local variable (incl. parameters) *}
        | FVar qtname qtname bool expr vname ("{_,_,_}_.._"[10,10,10,85,99]90)
                     --{* class field *}
                     --{* @{term "{accC,statDeclC,stat}e..fn"}   *}
                     --{* @{text accC}: accessing class (static class were *}
                     --{* the code is declared. Annotation only needed for *}
                     --{* evaluation to check accessibility) *}
                     --{* @{text statDeclC}: static declaration class of field*}
                     --{* @{text stat}: static or instance field?*}
                     --{* @{text e}: reference to object*}
                     --{* @{text fn}: field name*}
	| AVar expr expr ("_.[_]"[90,10   ]90)
                     --{* array component *}
                     --{* @{term "e1.[e2]"}: e1 array reference; e2 index *}
        | InsInitV stmt var 
                     --{* insertion of initialization before evaluation   *}
                     --{* of var (technical term for smallstep semantics.)*}

and expr
	= NewC qtname         --{* class instance creation *}
	| NewA ty expr ("New _[_]"[99,10   ]85) 
                              --{* array creation *} 
	| Cast ty expr        --{* type cast  *}
	| Inst expr ref_ty ("_ InstOf _"[85,99] 85)   
                              --{* instanceof *}     
	| Lit  val              --{* literal value, references not allowed *}
        | UnOp unop expr        --{* unary operation *}
        | BinOp binop expr expr --{* binary operation *}
        
	| Super               --{* special Super keyword *}
	| Acc  var            --{* variable access *}
	| Ass  var expr       ("_:=_"   [90,85   ]85)
                              --{* variable assign *} 
	| Cond expr expr expr ("_ ? _ : _" [85,85,80]80) --{* conditional *}  
        | Call qtname ref_ty inv_mode expr mname "(ty list)" "(expr list)"  
            ("{_,_,_}_\<cdot>_'( {_}_')"[10,10,10,85,99,10,10]85) 
                    --{* method call *} 
                    --{* @{term "{accC,statT,mode}e\<cdot>mn({pTs}args)"} " *}
                    --{* @{text accC}: accessing class (static class were *}
                    --{* the call code is declared. Annotation only needed for*}
                    --{* evaluation to check accessibility) *}
                    --{* @{text statT}: static declaration class/interface of *}
                    --{* method *}
                    --{* @{text mode}: invocation mode *}
                    --{* @{text e}: reference to object*}
                    --{* @{text mn}: field name*}   
                    --{* @{text pTs}: types of parameters *}
                    --{* @{text args}: the actual parameters/arguments *} 
        | Methd qtname sig    --{*   (folded) method (see below) *}
        | Body qtname stmt    --{* (unfolded) method body *}
        | InsInitE stmt expr  
                 --{* insertion of initialization before *}
                 --{* evaluation of expr (technical term for smallstep sem.) *}
        | Callee locals expr  --{* save callers locals in callee-Frame *}
                              --{* (technical term for smallstep semantics) *}
and  stmt
	= Skip                  --{* empty      statement *}
	| Expr  expr            --{* expression statement *}
        | Lab   jump stmt       ("_\<bullet> _" [      99,66]66)
                                --{* labeled statement; handles break *}
	| Comp  stmt stmt       ("_;; _"                  [      66,65]65)
	| If_   expr stmt stmt  ("If'(_') _ Else _"       [   80,79,79]70)
	| Loop  label expr stmt ("_\<bullet> While'(_') _"        [   99,80,79]70)
        | Do jump               --{* break, continue, return *}
	| Throw expr
        | TryC  stmt qtname vname stmt ("Try _ Catch'(_ _') _"  [79,99,80,79]70)
             --{* @{term "Try c1 Catch(C vn) c2"} *} 
             --{* @{text c1}: block were exception may be thrown *}
             --{* @{text C}:  execption class to catch *}
             --{* @{text vn}: local name for exception used in @{text c2}*}
             --{* @{text c2}: block to execute when exception is cateched*}
	| Fin  stmt  stmt        ("_ Finally _"               [      79,79]70)
        | FinA abopt stmt       --{* Save abruption of first statement *} 
                                --{* technical term  for smallstep sem.) *}
	| Init  qtname          --{* class initialization *}


text {*
The expressions Methd and Body are artificial program constructs, in the
sense that they are not used to define a concrete Bali program. In the 
operational semantic's they are "generated on the fly" 
to decompose the task to define the behaviour of the Call expression. 
They are crucial for the axiomatic semantics to give a syntactic hook to insert 
some assertions (cf. AxSem.thy, Eval.thy). 
The Init statement (to initialize a class on its first use) is 
inserted in various places by the semantics. 
Callee, InsInitV, InsInitE,FinA are only needed as intermediate steps in the
smallstep (transition) semantics (cf. Trans.thy). Callee is used to save the 
local variables of the caller for method return. So ve avoid modelling a 
frame stack.
The InsInitV/E terms are only used by the smallstep semantics to model the
intermediate steps of class-initialisation.
*}
 
types "term" = "(expr+stmt,var,expr list) sum3"
translations
  "sig"   <= (type) "mname \<times> ty list"
  "var"   <= (type) "Term.var"
  "expr"  <= (type) "Term.expr"
  "stmt"  <= (type) "Term.stmt"
  "term"  <= (type) "(expr+stmt,var,expr list) sum3"

syntax
  
  this    :: expr
  LAcc    :: "vname \<Rightarrow> expr" ("!!")
  LAss    :: "vname \<Rightarrow> expr \<Rightarrow>stmt" ("_:==_" [90,85] 85)
  Return  :: "expr \<Rightarrow> stmt"
  StatRef :: "ref_ty \<Rightarrow> expr"

translations
  
 "this"       == "Acc (LVar This)"
 "!!v"        == "Acc (LVar (EName (VNam v)))"
 "v:==e"      == "Expr (Ass (LVar (EName (VNam  v))) e)"
 "Return e"   == "Expr (Ass (LVar (EName Res)) e);; Do Ret" 
                  --{* \tt Res := e;; Do Ret *}
 "StatRef rt" == "Cast (RefT rt) (Lit Null)"
  
constdefs

  is_stmt :: "term \<Rightarrow> bool"
 "is_stmt t \<equiv> \<exists>c. t=In1r c"

ML {*
bind_thms ("is_stmt_rews", sum3_instantiate (thm "is_stmt_def"));
*}

declare is_stmt_rews [simp]

axclass inj_term < "type"
consts inj_term:: "'a::inj_term \<Rightarrow> term" ("\<langle>_\<rangle>" 83)

instance stmt::inj_term ..

defs (overloaded)
stmt_inj_term_def: "\<langle>c::stmt\<rangle> \<equiv> In1r c"

lemma stmt_inj_term_simp: "\<langle>c::stmt\<rangle> = In1r c"
by (simp add: stmt_inj_term_def)

instance expr::inj_term ..

defs (overloaded)
expr_inj_term_def: "\<langle>e::expr\<rangle> \<equiv> In1l e"

lemma expr_inj_term_simp: "\<langle>e::expr\<rangle> = In1l e"
by (simp add: expr_inj_term_def)

instance var::inj_term ..

defs (overloaded)
var_inj_term_def: "\<langle>v::var\<rangle> \<equiv> In2 v"

lemma var_inj_term_simp: "\<langle>v::var\<rangle> = In2 v"
by (simp add: var_inj_term_def)

instance "list":: (type) inj_term ..

defs (overloaded)
expr_list_inj_term_def: "\<langle>es::expr list\<rangle> \<equiv> In3 es"

lemma expr_list_inj_term_simp: "\<langle>es::expr list\<rangle> = In3 es"
by (simp add: expr_list_inj_term_def)

end