Distributive Laws and Decidable Properties of SOS Specifications

Bartek Klin
Beata Nachyła

Some formats of well-behaved operational specifications, correspond to natural transformations of certain types (for example, GSOS and coGSOS laws). These transformations have a common generalization: distributive laws of monads over comonads. We prove that this elegant theoretical generalization has limited practical benefits: it does not translate to any concrete rule format that would be complete for specifications that contain both GSOS and coGSOS rules. This is shown for the case of labeled transition systems and deterministic stream systems.

In Johannes Borgström and Silvia Crafa: Proceedings Combined 21st International Workshop on Expressiveness in Concurrency and 11th Workshop on Structural Operational Semantics (EXPRESS/SOS 2014), Rome, Italy, 1st September 2014, Electronic Proceedings in Theoretical Computer Science 160, pp. 79–93.
Published: 6th August 2014.

ArXived at: https://dx.doi.org/10.4204/EPTCS.160.8 bibtex PDF
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