Functorial semantics of rewrite theories

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Abstract

This paper develops a close analogy between Lawvere's functorial semantics of equational theories [21], and a similar 2-functorial semantics for rewrite theories, which specify concurrent systems and whose models are "true concurrency" models of such systems. This has the advantage of unifying within a single 2-functorial framework both models and rewrite theory morphisms. Such morphisms are used in Maude to "put rewrite theories together" in different constructions, including parameterized rewrite theory specifications. © Springer-Verlag Berlin Heidelberg 2005.

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Meseguer, J. (2005). Functorial semantics of rewrite theories. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3393 LNCS, 220–235. https://doi.org/10.1007/978-3-540-31847-7_13

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