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University of Ottawa (Canada)

Finding presheaf models for the finite pi-calculus.

Abstract

dc:description

This thesis provides a fully-abstract (set theoretical) model for the finite pi-calculus with respect to late-bisimulation and late-equivalence relations. This is achieved by amalgamating the works by M. P. Fiore, E. Moggi and D. Sangiorgi, and I. Stark. In their respective works the authors construct categorical models, and define a meta-language in which the finite pi-calculus can be interpreted. We discuss the general properties a categorical model should satisfy to be considered an appropriate model for the finite pi-calculus. In particular, I show that the categorical model based on the syntax provides a fully abstract model for the finite pi-calculus. Finally, I include all the details of the model which were often omitted by the above authors. We extend the discussion by examining alternative categorical constructs for the model of the finite pi-calculus, for example we use doubly closed categories which are a main focus of Bunched Logic by P. W. O'Hearn and D. J. Pym.

Degree

thesis:*
Grantor dc:publisher
University of Ottawa (Canada)
Year dc:date
2009

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Beaulieu, Guy.
Contributors dc:contributor
  • Scott, Philip,

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
Identifier
Source: Masters Abstracts International, Volume: 40-05, page: 1246.
9780612660052
http://dx.doi.org/10.20381/ruor-14743
OAI identifier oai:identifier
oai:ruor.uottawa.ca:10393/6206

Chain of custody

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University of Ottawa
Base URL
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Last updated
2026-07-24
Source record
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citation

Beaulieu, Guy.. Finding presheaf models for the finite pi-calculus.. University of Ottawa (Canada), 2009. http://hdl.handle.net/10393/6206