*categories: MSCS Special Issue on "Differential Structures in Computer Science and Mathematics"@ 2023-03-02 21:57 Differential MSCS0 siblings, 0 replies; only message in thread From: Differential MSCS @ 2023-03-02 21:57 UTC (permalink / raw) To: categories -- Special Issue of Mathematical Structures in Computer Science on "Differential Structures in Computer Science and Mathematics" -- Edited by R. Cockett, G. Cruttwell, M. Kerjean, and J.-S. P. Lemay IMPORTANT DATE: Submission of papers: Sept 30, 2023 Reviews : January 2024 Final Version : March 2024 SCOPE AND OBJECTIVES: In the early 2000s, Ehrhard and Regnier noticed that many models of linear logic had a natural notion of differential operator in which the logical and mathematical notions of "linear" coincided. This led to their introduction of differential linear logic, the differential lambda-calculus and differential proof nets. Following this, Blute, Cockett and Seely introduced categorical counterparts to these ideas in the form of differential categories and Cartesian differential categories, which were then expanded upon further by many others including Fiore and Ehrhard. Afterwards, Cockett and Cruttwell connected these structures to existing categorical forms of differential structure via Rosicky's notion of a tangent category, which has lead to further connections in many areas of mathematics including (synthetic) differential geometry, commutative algebra, etc. Since these developments, there have been numerous papers and talks on these ideas in both computer science and mathematics. This special issue of Mathematical Structures in Computer Science aims to collect papers on recent developments in these areas, from both a theoretical and an applicative point of view. TOPICS FOR SUBMITTED PAPERS: Possible topics for submitted papers include, but are not limited to: * Differential linear logic, the differential lambda calculus and differential proof-nets * Models of differential and/or resource calculi * Theory and models of differential programming * Theory and applications of differential categories * Theory and applications of tangent categories SUBMISSION INSTRUCTIONS: The papers must be of very high quality, and reflect a new emphasis upon the use of differential concepts and results in either computer science or mathematics (or both), broadly construed. They will be refereed as standard submissions to Mathematical Structures in Computer Science. As for the submission process, authors should go to the MSCS website, and when asked indicate that the submission is made for a special issue, and indicate Differential structures. https://www.cambridge.org/core/journals/mathematical-structures-in-computer-science Questions can be sent to this email: differential.mscs@lipn.univ-paris13.fr Or any of the editors listed above. [For admin and other information see: http://www.mta.ca/~cat-dist/ ] ^ permalink raw reply [flat|nested] only message in thread

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