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DOI: 10.4230/LIPIcs.FSCD.2019.16
URN: urn:nbn:de:0030-drops-105237
URL: https://drops.dagstuhl.de/opus/volltexte/2019/10523/
Eberhart, Clovis ; Hirschowitz, Tom ; Laouar, Alexis
Template Games, Simple Games, and Day Convolution
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Abstract
Template games [P.-A. Melliès, 2019] unify various approaches to game semantics, by exhibiting them as instances of a double-categorical variant of the slice construction. However, in the particular case of simple games [R. Harmer et al., 2007; C. Jacq and P.-A. Melliès, 2018], template games do not quite yield the standard (bi)category. We refine the construction using factorisation systems, obtaining as an instance a slight generalisation of simple games and strategies. This proves that template games have the descriptive power to capture combinatorial constraints defining well-known classes of games. Another instance is Day's convolution monoidal structure on the category of presheaves over a strict monoidal category [B. Day, 1970], which answers a question raised in [C. Eberhart, 2018].
BibTeX - Entry
@InProceedings{eberhart_et_al:LIPIcs:2019:10523,
author = {Clovis Eberhart and Tom Hirschowitz and Alexis Laouar},
title = {{Template Games, Simple Games, and Day Convolution}},
booktitle = {4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019)},
pages = {16:1--16:19},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-107-8},
ISSN = {1868-8969},
year = {2019},
volume = {131},
editor = {Herman Geuvers},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2019/10523},
URN = {urn:nbn:de:0030-drops-105237},
doi = {10.4230/LIPIcs.FSCD.2019.16},
annote = {Keywords: Game semantics, Day convolution, Categorical semantics}
}
| Keywords: | Game semantics, Day convolution, Categorical semantics | |
| Seminar: | 4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019) | |
| Issue date: | 2019 | |
| Date of publication: | 18.06.2019 |
