Refinement concepts formalised in higher order logic

Author:

Back R. J. R.1,von Wright J.2

Affiliation:

1. Department of Computer Science, Åbo Akademi University, Lemminkäisenkatu 14, SF-20520, Turku, Finland

2. Swedish School of Economics and Business Education, Biblioteksgatan 16, SF-65100 Vasa, Finland

Abstract

Abstract A theory of commands with weakest precondition semantics is formalised using the HOL proof assistant system. The concept of refinement between commands is formalised, a number of refinement rules are proved and it is shown how the formalisation can be used for proving refinements of actual program texts correct.

Publisher

Association for Computing Machinery (ACM)

Subject

Theoretical Computer Science,Software

Reference23 articles.

1. Back R. J. R.: On the Correctness of Refinement in Program Development Ph.D. thesis Report A-1978-4 Department of Computer Science University of Helsinki 1978.

2. Back R. J. R.: Correctness Preserving Program Refinements: Proof Theory and Applications Vol. 131 of Mathematical Centre Tracts Mathematical Centre Amsterdam 1980.

3. A calculus of refinements for program derivations

4. Back R. J. R. and Sere K.: Stepwise Refinement of Action Systems. In: Mathematics of Program Construction Lecture Notes in Computer Science 375 Springer-Verlag 1989.

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