Projects per year
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.
|Title of host publication||Automata, Languages and Programming - 38th International Colloquium, ICALP 2011, Proceedings|
|Editors||Luca Aceto, Monika Henzinger, Jiri Sgall|
|Place of Publication||Heidelberg, Germany|
|Number of pages||12|
|Publication status||Published - 2011|
|Name||Lecture Notes in Computer Science|
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- 1 Finished
20/06/10 → 19/06/12
Project: Research council