Mechanised support for sound refinement tactics |
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Authors: | Frank Zeyda Marcel Oliveira Ana Cavalcanti |
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Affiliation: | 1. Department of Computer Science, University of York, Heslington, York, UK 2. Departamento de Inform??tica e Matem??tica Aplicada, Universidade Federal do Rio Grande do Norte, Natal, Brazil
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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. |
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