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Stateful Structural Operational Semantics Goncharov, Sergey Milius, Stefan Schröder, Lutz Tsampas, Stelios Urbat, Henning Structural Operational Semantics Rule Formats Distributive Laws 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Sergey Goncharov and Stefan Milius and Lutz Schröder and Stelios Tsampas and Henning Urbat 2022 Is Part Of LIPIcs, Volume 228, 7th International Conference on Formal Structures for Computation and Deduction (FSCD 2022) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.FSCD.2022.30 urn:nbn:de:0030-drops-163111 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2022.30 eng https://creativecommons.org/licenses/by/4.0/legalcode