Abstract
Dynamic logic has become a very useful tool in Computer Science, with direct applications in system specification. Here we show how to interpret first-order dynamic logic in an extension of the relational calculus of fork algebras. That is, reasoning in first-order dynamic logic can be replaced by equational reasoning in the extended relational calculus. This allows to: (a) incorporate the features of dynamic logic in a relational framework, and, (b) provide an equational calculus for reasoning in first-order dynamic logic.
Research Partially funded by Antorchas Foundation.
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Frias, M.F., Baum, G.A., Maibaum, T.S.E. (2002). Interpretability of First—Order Dynamic Logic in a Relational Calculus. In: de Swart, H.C.M. (eds) Relational Methods in Computer Science. RelMiCS 2001. Lecture Notes in Computer Science, vol 2561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36280-0_5
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DOI: https://doi.org/10.1007/3-540-36280-0_5
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