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University of Cambridge > Talks.cam > Logic and Semantics Seminar (Computer Laboratory) > An overview of nominal algebra, lattice, representation and dualities for computer science foundations

## An overview of nominal algebra, lattice, representation and dualities for computer science foundationsAdd to your list(s) Download to your calendar using vCal - Jamie Gabbay
- Tuesday 02 July 2013, 14:00-15:00
- Room FW26, Computer Laboratory, William Gates Building.
If you have a question about this talk, please contact Jonathan Hayman. Nominal algebra lets us axiomatise substitution and quantifiers, and thus the new-quantifier, first-order logic, and the lambda-calculus. Nominal lattice theory lets us characterise binders as greatest and least upper bounds subject to freshness conditions; this is possible for “forall” and “exists” and surprisingly also for “lambda”. From this follow a body of soundness, completeness, representation, and topological duality results for algebraic/lattice-theoretic theories in nominal sets and topological spaces. A great deal of structure is revealed by this, which I will outline. This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series. ## This talk is included in these lists:- All Talks (aka the CURE list)
- Computer Laboratory Programming Research Group Seminar
- Computer Laboratory talks
- Computing and Mathematics
- Logic and Semantics Seminar (Computer Laboratory)
- Room FW26, Computer Laboratory, William Gates Building
- School of Technology
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