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Modules over Monads and Operational Semantics

Authors André Hirschowitz, Tom Hirschowitz, Ambroise Lafont

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Author Details

André Hirschowitz
  • Université Côte d’Azur, CNRS, Nice, France
Tom Hirschowitz
  • Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, LAMA, 73000 Chambéry, France
Ambroise Lafont
  • University of New South Wales, Sydney, Australia

Acknowledgements

We thank the anonymous referees for their constructive comments.

Cite AsGet BibTex

André Hirschowitz, Tom Hirschowitz, and Ambroise Lafont. Modules over Monads and Operational Semantics. In 5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 167, pp. 12:1-12:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/LIPIcs.FSCD.2020.12

Abstract

This paper is a contribution to the search for efficient and high-level mathematical tools to specify and reason about (abstract) programming languages or calculi. Generalising the reduction monads of Ahrens et al., we introduce transition monads, thus covering new applications such as ̅λμ-calculus, π-calculus, Positive GSOS specifications, differential λ-calculus, and the big-step, simply-typed, call-by-value λ-calculus. Finally, we design a suitable notion of signature for transition monads.

Subject Classification

ACM Subject Classification
  • Theory of computation → Semantics and reasoning
  • Theory of computation → Categorical semantics
  • Theory of computation → Operational semantics
Keywords
  • Operational semantics
  • Category theory

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