Cellular Monads from Positive GSOS Specifications

August 29, 2019 ยท The Ethereal ยท ๐Ÿ› Combined International Workshop Expressiveness Concurrency and Workshop Structural Operational Semantics

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Tom Hirschowitz arXiv ID 1908.11169 Category cs.LO: Logic in CS Cross-listed cs.PL, math.CT Citations 2 Venue Combined International Workshop Expressiveness Concurrency and Workshop Structural Operational Semantics Last Checked 5 months ago
Abstract
We give a leisurely introduction to our abstract framework for operational semantics based on cellular monads on transition categories. Furthermore, we relate it for the first time to an existing format, by showing that all Positive GSOS specifications generate cellular monads whose free algebras are all compositional. As a consequence, we recover the known result that bisimilarity is a congruence in the generated labelled transition system.
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