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Categorical Models of Syntactic Control of Intereference Revisited, Revisited

Published online by Cambridge University Press:  01 February 2010

Guy McCusker
Guy McCusker
Affiliation:
Department of Computer Science, University of Bath, United Kingdom BA2 7AY, [email protected]

Abstract

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The question of what categorical structure is required to give semantics to O‘Hearn et al.'s type system Syntactic Control of Interference Revisited (SCIR) is considered. The previously proposed notion of bireflective model is rejected as being too restrictive to accommodate important concrete models based on game semantics and object spaces; furthermore it is argued that the existing proof-sketch of the important property of coherence for these models is incorrect. A new, more general notion of model is proposed and the coherence property proved.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 10 , 2007 , pp. 176 - 206
Copyright
Copyright © London Mathematical Society 2007

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