Path-width and restricting conjunction in k-variable logic -- Nihil Shah

Duration: 33 mins 46 secs
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Created: 2020-04-01 18:09
Collection: Online Workshop: Resources and Co-Resources: A Junction between Semantics and Descriptive Complexity
Publisher: University of Cambridge
Copyright: Nihil Shah
Language: eng (English)
 
Abstract: This talk will be about ongoing work on a subcomonad of the pebbling comonad. This subcomona captures a restriction of k-variable logic that imposes a restriction on conjunctions in a formula. In analogy with the characterization of tree-width as the coalgebra number, I will show that this subcomonad characterizes path-width. As a bonus, I will discuss ongoing work on clique-width and other graph parameters.

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