Added unary and binary operations like (+,-,<, ...); Added smallstep semantics (no proofs about it yet).
(* 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 -- "+ unary plus"
| UMinus -- "- unary minus"
| UBitNot -- "~ bitwise NOT"
| UNot -- "! logical complement"
-- "function codes for binary operations"
datatype binop = Mul -- "* multiplication"
| Div -- "/ division"
| Mod -- "% remainder"
| Plus -- "+ addition"
| Minus -- "- subtraction"
| LShift -- "<< left shift"
| RShift -- ">> signed right shift"
| RShiftU -- ">>> unsigned right shift"
| Less -- "< less than"
| Le -- "<= less than or equal"
| Greater -- "> greater than"
| Ge -- ">= greater than or equal"
| Eq -- "== equal"
| Neq -- "!= not equal"
| BitAnd -- "& bitwise AND"
| And -- "& boolean AND"
| BitXor -- "^ bitwise Xor"
| Xor -- "^ boolean Xor"
| BitOr -- "| bitwise Or"
| Or -- "| boolean Or"
datatype var
= LVar lname(* local variable (incl. parameters) *)
| FVar qtname qtname bool expr vname
(*class field*)("{_,_,_}_.._"[10,10,10,85,99]90)
| AVar expr expr (* array component *) ("_.[_]"[90,10 ]90)
| InsInitV stmt var (* insertion of initialization before
evaluation of var (for smallstep sem.) *)
and expr
= NewC qtname (* class instance creation *)
| NewA ty expr (* array creation *) ("New _[_]"[99,10 ]85)
| Cast ty expr (* type cast *)
| Inst expr ref_ty (* instanceof *) ("_ InstOf _"[85,99] 85)
| 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 (* variable assign *) ("_:=_" [90,85 ]85)
| Cond expr expr expr (* conditional *) ("_ ? _ : _" [85,85,80]80)
| Call qtname ref_ty inv_mode expr mname "(ty list)"
"(expr list)" (* method call *)
("{_,_,_}_\<cdot>_'( {_}_')"[10,10,10,85,99,10,10]85)
| Methd qtname sig (* (folded) method (see below) *)
| Body qtname stmt (* (unfolded) method body *)
| InsInitE stmt expr (* insertion of initialization before
evaluation of expr (for smallstep sem.) *)
| Callee locals expr (* save Callers locals in Callee-Frame
(for smallstep semantics) *)
and stmt
= Skip (* empty statement *)
| Expr expr (* expression statement *)
| Lab jump stmt ("_\<bullet> _"(* labeled statement*)[ 99,66]66)
(* 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)
| Fin stmt stmt ("_ Finally _" [ 79,79]70)
| FinA abopt stmt (* Save abruption of first statement
(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"
(* 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]
end