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Computer Science > Logic in Computer Science

arXiv:1202.4834v1 (cs)
[Submitted on 22 Feb 2012]

Title:Computer-Assisted Program Reasoning Based on a Relational Semantics of Programs

Authors:Wolfgang Schreiner
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Abstract:We present an approach to program reasoning which inserts between a program and its verification conditions an additional layer, the denotation of the program expressed in a declarative form. The program is first translated into its denotation from which subsequently the verification conditions are generated. However, even before (and independently of) any verification attempt, one may investigate the denotation itself to get insight into the "semantic essence" of the program, in particular to see whether the denotation indeed gives reason to believe that the program has the expected behavior. Errors in the program and in the meta-information may thus be detected and fixed prior to actually performing the formal verification. More concretely, following the relational approach to program semantics, we model the effect of a program as a binary relation on program states. A formal calculus is devised to derive from a program a logic formula that describes this relation and is subject for inspection and manipulation. We have implemented this idea in a comprehensive form in the RISC ProgramExplorer, a new program reasoning environment for educational purposes which encompasses the previously developed RISC ProofNavigator as an interactive proving assistant.
Comments: In Proceedings THedu'11, arXiv:1202.4535
Subjects: Logic in Computer Science (cs.LO); Mathematical Software (cs.MS); Programming Languages (cs.PL); Symbolic Computation (cs.SC)
ACM classes: F.3.1;F3.2;K3.2
Cite as: arXiv:1202.4834 [cs.LO]
  (or arXiv:1202.4834v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.1202.4834
Journal reference: EPTCS 79, 2012, pp. 124-142
Related DOI: https://doi.org/10.4204/EPTCS.79.8

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Wed, 22 Feb 2012 06:42:11 UTC (487 KB)
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