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Game comonads and generalised quantifiers -- Adam Ó Conghaile

Duration: 46 mins 5 secs
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Created: 2020-04-01 17:37
Collection: Online Workshop: Resources and Co-Resources: A Junction between Semantics and Descriptive Complexity
Publisher: University of Cambridge
Copyright: A. Ó Conghaile
Language: eng (English)
 
Abstract: Hella's k-pebble n-bijective is a long-studied generalisation of the k-pebble bijection game. While the latter captures equivalence of relational structures up to k-variable first-order logic extendended with fixed-point and counting quantifiers, Hella's game (for n>1) captures equivalence in the much more powerful extension of FO with all n-ary generalised quantifiers. In this talk, I'll present a new contruction that Anuj Dawar and I have been working on which extends Abramsky, Dawar and Wang's pebbling comonad to deal with generalised quantifiers.

slides: https://www.cst.cam.ac.uk/sites/www.cst.cam.ac.uk/files/_co_resources_online_workshop_game_comonads_generalised_quantifiers_2.pdf
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