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Open maps and their uses in concurrency models

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If you have a question about this talk, please contact Ian Orton.

Open maps and path lifting appears in a number of fields and in a number of guises. I am going to use the example of event structures to explore what open maps can do, whether that’s bisimulations or symmetry.

Covering:

  • What is an open map and path lifting
  • Event structures and what open maps look like
  • Bisimulation from open maps
  • Some symmetry stuff

Prerequisites:

  • Basic category theory: spans, pullbacks, presheaves
  • Some basic concurrency models: event structures, synchronisation trees, labelled transition systems (the first two papers will have quick synopsis for all)

This talk is part of the Logic & Semantics for Dummies series.

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