Supporting ArcAngel in ProofPower

  • Authors:
  • Frank Zeyda;Marcel Oliveira;Ana Cavalcanti

  • Affiliations:
  • Department of Computer Science, University of York, York, YO10 5DD, UK;Departamento de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Brazil;Department of Computer Science, University of York, York, YO10 5DD, UK

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2009

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Abstract

ArcAngel is a specialised 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 strategies to derive programs by construction, and equipped with a formal semantics that enables 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 differences in expressiveness and flexibility in comparison to ProofPower's in-built tactic language. ArcAngel supports backtracking through angelic choice; this is beyond the basic capabilities of ProofPower and many other main-stream theorem provers. The implementation is demonstrated with a non-trivial tactic example.