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arXiv · 2012.01662

Verifying Graph Programs with First-Order Logic

Gia S. Wulandari·Detlef Plump
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Abstract

We consider Hoare-style verification for the graph programming language GP 2. In previous work, graph properties were specified by so-called E-conditions which extend nested graph conditions. However, this type of assertions is not easy to comprehend by programmers that are used to formal specifications in standard first-order logic. In this paper, we present an approach to verify GP 2 programs with a standard first-order logic. We show how to construct a strongest liberal postcondition with respect to a rule schema and a precondition. We then extend this construction to obtain strongest liberal postconditions for arbitrary loop-free programs. Compared with previous work, this allows to reason about a vastly generalised class of graph programs. In particular, many programs with nested loops can be verified with the new calculus.

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Gia S. Wulandari, Detlef Plump. 2020-12-03. Verifying Graph Programs with First-Order Logic. https://doi.org/10.4204/eptcs.330.11

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