Mechanised support for sound refinement tactics

Author:

Zeyda Frank1,Oliveira Marcel2,Cavalcanti Ana1

Affiliation:

1. Department of Computer Science, University of York, Heslington, York, UK

2. Departamento de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Natal, Brazil

Abstract

Abstract ArcAngel is a tactic language devised to facilitate and automate program developments using Morgan’s refinement calculus. It is especially well suited for the specification of high-level refinement strategies, and equipped with a formal semantics that additionally permits reasoning about tactics. In this paper, we present an implementation of ArcAngel for the ProofPower theorem prover. We discuss the underlying design, explain how it implements the semantics of ArcAngel, and examine the interplay between ArcAngel tactics and the native reasoning support of the prover. We also discuss several extensions of ArcAngel that have been entailed by our implementation effort. They are of practical importance and provide a unification of the related tactic languages Angel and ArcAngel C . Our main result is a mechanisation that reflects directly the ArcAngel semantics, and can be used with any programming model for refinement. The approach can be used to support other formal tactic languages using other theorem provers.

Publisher

Association for Computing Machinery (ACM)

Subject

Theoretical Computer Science,Software

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