Towards critical pair analysis for the graph programming language GP 2

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Abstract

We present the foundations of critical pair analysis for the graph programming language GP 2. Our goal is to develop a static checker that can prove or refute confluence (functional behaviour) for a large class of graph programs. In this paper, we introduce symbolic critical pairs of GP 2 rule schemata, which are labelled with expressions, and establish the completeness and finiteness of the set of symbolic critical pairs over a finite set of rule schemata. We give a procedure for their construction.

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Hristakiev, I., & Plump, D. (2017). Towards critical pair analysis for the graph programming language GP 2. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10644 LNCS, pp. 153–169). Springer Verlag. https://doi.org/10.1007/978-3-319-72044-9_11

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