Stateful Structural Operational Semantics

Goncharov S, Milius S, Schröder L, Tsampas S, Urbat H (2022)

Publication Type: Conference contribution

Publication year: 2022


Publisher: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing

Book Volume: 228

Conference Proceedings Title: Leibniz International Proceedings in Informatics, LIPIcs

Event location: Haifa, ISR

ISBN: 9783959772334

DOI: 10.4230/LIPIcs.FSCD.2022.30


Compositionality of denotational semantics is an important concern in programming semantics. Mathematical operational semantics in the sense of Turi and Plotkin guarantees compositionality, but seen from the point of view of stateful computation it applies only to very fine-grained equivalences that essentially assume unrestricted interference by the environment between any two statements. We introduce the more restrictive stateful SOS rule format for stateful languages. We show that compositionality of two more coarse-grained semantics, respectively given by assuming read-only interference or no interference between steps, remains an undecidable property even for stateful SOS. However, further restricting the rule format in a manner inspired by the cool GSOS formats of Bloom and van Glabbeek, we obtain the streamlined and cool stateful SOS formats, which respectively guarantee compositionality of the two more abstract equivalences.

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How to cite


Goncharov, S., Milius, S., Schröder, L., Tsampas, S., & Urbat, H. (2022). Stateful Structural Operational Semantics. In Amy P. Felty (Eds.), Leibniz International Proceedings in Informatics, LIPIcs. Haifa, ISR: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing.


Goncharov, Sergey, et al. "Stateful Structural Operational Semantics." Proceedings of the 7th International Conference on Formal Structures for Computation and Deduction, FSCD 2022, Haifa, ISR Ed. Amy P. Felty, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2022.

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