A bicategory of very general nondeterministic concurrent games and strategies is presented. The intention is to formalize distributed games in which both Player (or a team of players) and Opponent (or a team of opponents) can interact in highly distributed fashion, without, for instance, enforcing that their moves alternate.
Abstract. Following the translation validation approach to highassurance compilation, we describe a new algorithm for validating a posteriori the results of a run of register allocation. The algorithm is based on backward dataflow inference of equations between variables, registers and stack locations, and can cope with sophisticated forms of spilling and live range splitting, as well as many architectural irregularities such as overlapping registers. The soundness of the algorithm was mechanically proved using the Coq proof assistant.
In 2011, Rideau and Winskel introduced concurrent games and strategies as event structures, generalizing prior work on causal formulations of games. In this paper we give a detailed, self-contained and slightly-updated account of the results of Rideau and Winskel: a notion of pre-strategy based on event structures; a characterisation of those pre-strategies (deemed strategies) which are preserved by composition with a copycat strategy; and the construction of a bicategory of these strategies. Furthermore, we prove that the corresponding category has a compact closed structure, and hence forms the basis for the semantics of concurrent higher-order computation.
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