Constructing differential categories and deconstructing categories of games

Jim Laird, Giulio Manzonetto, Guy McCusker

Research output: Chapter or section in a book/report/conference proceedingChapter or section

5 Citations (SciVal)
124 Downloads (Pure)


We present an abstract construction for building differential categories useful to model resource sensitive calculi, and we apply it to categories of games. In one instance, we recover a category previously used to give a fully abstract model of a nondeterministic imperative language. The construction exposes the differential structure already present in this model. A second instance corresponds to a new Cartesian differential category of games. We give a model of a Resource PCF in this category and show that it enjoys the finite definability property. Comparison with a relational semantics reveals that the latter also possesses this property and is fully abstract.
Original languageEnglish
Title of host publicationAutomata, Languages and Programming - 38th International Colloquium, ICALP 2011, Proceedings
EditorsLuca Aceto, Monika Henzinger, Jiri Sgall
Place of PublicationHeidelberg, Germany
Number of pages12
ISBN (Print)9783642220111
Publication statusPublished - 2011

Publication series

NameLecture Notes in Computer Science


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