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Structural operational semantics (SOS) is a technique for defining operational semantics for programming and specification languages. Because of its intuitive appeal and flexibility, SOS has found considerable application in the study of…

Logic in Computer Science · Computer Science 2010-08-12 Luca Aceto , Paweł Sobociński

Formal semantics provides rigorous, mathematically precise definitions of programming languages, with which we can argue about program behaviour and program equivalence by formal means; in particular, we can describe and verify our…

Programming Languages · Computer Science 2020-11-23 Péter Bereczky , Dániel Horpácsi , Simon Thompson

Operational semantics has established itself as a flexible but rigorous means to describe the meaning of programming languages. Oftentimes, it is felt necessary to keep a semantics small, for example to facilitate its use for model checking…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-17 Benjamin Morandi , Sebastian Nanz , Bertrand Meyer

As is evident in the programming language literature, many practitioners favor specifying dynamic program behavior using big-step over small-step semantics. Unlike small-step semantics, which must dwell on every intermediate program state,…

Programming Languages · Computer Science 2025-10-23 David M Kahn , Jan Hoffmann , Runming Li

The bialgebraic abstract GSOS framework by Turi and Plotkin provides an elegant categorical approach to modelling the operational and denotational semantics of programming and process languages. In abstract GSOS, bisimilarity is always a…

Programming Languages · Computer Science 2026-02-23 Sergey Goncharov , Marco Peressotti , Stelios Tsampas , Henning Urbat , Stefano Volpe

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…

Logic in Computer Science · Computer Science 2022-05-12 Sergey Goncharov , Stefan Milius , Lutz Schröder , Stelios Tsampas , Henning Urbat

The focus of these lecture notes is on abstract models and basic ideas and results that relate to the operational semantics of programming languages largely conceived. The approach is to start with an abstract description of the computation…

Programming Languages · Computer Science 2025-10-15 Roberto M. Amadio

This volume contains the proceedings of SOS 2011, the Eight Workshop on Structural Operational Semantics, held on the 5th of September 2011 in Aachen, Germany as an affiliated workshop of CONCUR 2011, the 22nd International Conference on…

Logic in Computer Science · Computer Science 2011-08-16 M. A. Reniers , P. Sobocinski

Compositionality proofs in higher-order languages are notoriously involved, and general semantic frameworks guaranteeing compositionality are hard to come by. In particular, Turi and Plotkin's bialgebraic abstract GSOS framework, which has…

Logic in Computer Science · Computer Science 2026-05-08 Sergey Goncharov , Stefan Milius , Lutz Schröder , Stelios Tsampas , Henning Urbat

Reasoning about program equivalence in imperative languages is notoriously challenging, as the presence of states (in the form of variable stores) fundamentally increases the observational power of program terms. The key desideratum for any…

Programming Languages · Computer Science 2025-07-23 Sergey Goncharov , Stefan Milius , Lutz Schröder , Stelios Tsampas , Henning Urbat

Verified compilers aim to guarantee that compilation preserves the observable behavior of source programs. While small-step semantics are widely used in such compilers, they are not always the most convenient framework for structural…

Programming Languages · Computer Science 2026-02-24 David Knothe , Oliver Bringmann

It is natural that we can extend Structural Operational Semantics (SOS) to SOS for true concurrency. From SOS to SOS for true concurrency, it is in nature to give the related concepts in SOS a truly concurrent semantics foundation, i.e., a…

Logic in Computer Science · Computer Science 2026-01-27 Yong Wang

Using a call-by-value functional language as an example, this article illustrates the use of coinductive definitions and proofs in big-step operational semantics, enabling it to describe diverging evaluations in addition to terminating…

Programming Languages · Computer Science 2008-08-06 Xavier Leroy , Hervé Grall

Various human activities can be abstracted into a sequence of actions in natural text, i.e. cooking, repairing, manufacturing, etc. Such action sequences heavily depend on the executing order, while disorder in action sequences leads to…

Computation and Language · Computer Science 2023-06-08 Weizhi Wang , Hong Wang , Xifeng Yan

Structural operational semantic specifications come in different styles: small-step and big-step. A problem with the big-step style is that specifying divergence and abrupt termination gives rise to annoying duplication. We present a novel…

Programming Languages · Computer Science 2016-05-11 Casper Bach Poulsen , Peter D. Mosses

It is well-known that big-step semantics is not able to distinguish stuck and non-terminating computations. This is a strong limitation as it makes very difficult to reason about properties involving infinite computations, such as type…

Programming Languages · Computer Science 2022-03-01 Francesco Dagnino

Higher-order abstract GSOS is a recent extension of Turi and Plotkin's framework of Mathematical Operational Semantics to higher-order languages. The fundamental well-behavedness property of all specifications within the framework is that…

Programming Languages · Computer Science 2023-09-29 Henning Urbat , Stelios Tsampas , Sergey Goncharov , Stefan Milius , Lutz Schröder

Logical relations constitute a key method for reasoning about contextual equivalence of programs in higher-order languages. They are usually developed on a per-case basis, with a new theory required for each variation of the language or of…

Logic in Computer Science · Computer Science 2024-05-17 Sergey Goncharov , Stefan Milius , Stelios Tsampas , Henning Urbat

In a paper presented at SOS 2010, we developed a framework for big-step semantics for interactive input-output in combination with divergence, based on coinductive and mixed inductive-coinductive notions of resumptions, evaluation and…

Programming Languages · Computer Science 2013-12-11 Tarmo Uustalu

This paper develops a novel minimal-state operational semantics for higher-order functional languages that uses only the call stack and a source program point or a lexical level as the complete state information: there is no environment, no…

Programming Languages · Computer Science 2024-03-11 Scott Smith , Robert Zhang
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