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Probabilistic game semantics

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2 Author(s)
Danos, V. ; Equipe PPS, Paris VII Univ., France ; Harmer, R.

A category of HO/N-style games and probabilistic strategies is developed where the possible choices of a strategy are quantified so as to give a measure of the likelihood of seeing a given play. A 2-sided die is shown to be universal in this category, in the sense that any strategy breaks down into a composition between some deterministic strategy and that die. The interpretative power of the category is then demonstrated by delineating a Cartesian closed subcategory which provides a fully abstract model of a probabilistic extension of Idealized Algol

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Logic in Computer Science, 2000. Proceedings. 15th Annual IEEE Symposium on

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