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Isaac Newton Institute for Mathematical Sciences

Semantics of Computation

1 July - 31 December 1995

Organisers: S Abramsky (Imperial College, London), G Kahn (INRIA, Sophia-Antipolis), J C Mitchell (Stanford), A M Pitts (Cambridge)

Semantics of Computation Seminar

Friday September 1, 2:15 pm

Domains, Functor Categories and the Pi-Calculus

Ian Stark
University of Cambridge and University of Pisa

This talk describes a domain model for the pi-calculus, building on Abramsky's domain equation for bisimulation and Ingrlfsdrttir's model of value-passing CCS. The main innovation is to work within a functor category, over a base of ordinary cpo's. This gives additional indexing structure that allows us to talk about names, freshness, visibility and non-interference through abstract categorical constructions. The resulting model gives a strong, late semantics, and can express various relations between processes: bisimulation, equivalence, and D-equivalence for any distinction D.

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