Pi-Calculus in Logical Form

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Pi-Calculus in Logical Form
Abramsky’s logical formulation of domain theory is extended to encompass the domain theoretic model for picalculus processes of Stark and of Fiore, Moggi and Sangiorgi. This is done by defining a logical counterpart of categorical constructions including dynamic name allocation and name exponentiation, and showing that they are dual to standard constructs in functor categories. We show that initial algebras of functors defined in terms of these constructs give rise to a logic that is sound, complete, and characterises bisimilarity. The approach is modular, and we apply it to derive a logical formulation of pi-calculus. The resulting logic is a modal calculus with primitives for input, free output and bound output.
Marcello M. Bonsangue, Alexander Kurz
Added 04 Jun 2010
Updated 04 Jun 2010
Type Conference
Year 2007
Where LICS
Authors Marcello M. Bonsangue, Alexander Kurz
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