Synchronous game semantics via round abstraction

  • Authors:
  • Dan R. Ghica;Mohamed N. Menaa

  • Affiliations:
  • University of Birmingham, U.K.;University of Birmingham, U.K.

  • Venue:
  • FOSSACS'11/ETAPS'11 Proceedings of the 14th international conference on Foundations of software science and computational structures: part of the joint European conferences on theory and practice of software
  • Year:
  • 2011

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Abstract

A synchronous game semantics--one in which several moves may occur simultaneously--is derived from a conventional (sequential) game semantics using a round abstraction algorithm. We choose the programming language Syntactic Control of Interference and McCusker's fully abstract relational model as a convenient starting point and derive a synchronous game model first by refining the relational semantics into a trace semantics, then applying a round abstraction to it. We show that the resulting model is sound but not fully abstract. This work is practically motivated by applications to hardware synthesis via game semantics.