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University of Cambridge > Talks.cam > Logic and Semantics Seminar (Computer Laboratory) > Transition systems over games
Transition systems over gamesAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Jonathan Hayman. We describe a framework for game semantics combining operational and denotational accounts. A game is a bipartite graph of “passive” and “active” positions, or a categorical variant with morphisms between positions. The operational part of the framework is given by a labelled transition system in which each state sits in a particular position of the game. From a state in a passive position, transitions are labelled with a valid O-move from that position, and take us to a state in the updated position. Transitions from states in an active position are likewise labelled with a valid P-move, but silent transitions are allowed, which must take us to a state in the same position. The denotational part is given by a “transfer” from one game to another, a kind of program that converts moves between the two games, giving an operation on strategies. The agreement between the two parts is given by a relation called a “stepped bisimulation”. The framework is illustrated by an example of substitution within a lambda-calculus. This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series. This talk is included in these lists:
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