, Volume 6, Issue 6, pp 643-658
Date: 10 Nov 2012

Specification, Verification and Prototyping of an Optimized Compiler

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Abstract

This paper generalizes an algebraic method for the design of a correct compiler to tackle specification and verification of an optimized compiler. The main optimization issues of concern here include the use of existing contents of registers where possible and the identification of common expressions. A register table is introduced in the compiling specification predicates to map each register to an expression whose value is held by it. We define different kinds of predicates to specify compilation of programs, expressions and Boolean tests. A set of theorems relating to these predicates, acting as a correct compiling specification, are presented and an example proof within the refinement algebra of the programming language is given. Based on these theorems, a prototype compiler in Prolog is produced.

Funded by ESPRIT Basic Research ProCoS project (nos 3104 & 7071).
Funded by UK Engineering and Physical Sciences Research Council (SAFEMOS project IED3/1/1036 and grant no. GR/J15186).