Laird, J., Manzonetto, G. and McCusker, G., 2011. Constructing differential categories and deconstructing categories of games. In: Aceto, L., Henzinger, M. and Sgall, J., eds. Automata, Languages and Programming - 38th International Colloquium, ICALP 2011, Proceedings. Vol. 6756. Heidelberg: Springer-Verlag, pp. 186-197. (Lecture Notes in Computer Science)
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.
|Item Type ||Book Sections|
|Creators||Laird, J., Manzonetto, G. and McCusker, G.|
|Editors||Aceto, L., Henzinger, M. and Sgall, J.|
|Departments||Faculty of Science > Computer Science|
|Publisher Statement||diff.pdf: The original publication is available at www.springerlink.com|
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