Inapproximability of Unique Games in Fixed-Point Logic with Counting

We study the extent to which it is possible to approximate the optimal value of a Unique Games instance in Fixed-Point Logic with Counting (FPC). Formally, we prove lower bounds against the accuracy of FPC-interpretations that map Unique Games instances (encoded as relational structures) to rational...

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Bibliographic Details
Main Author: Jamie Tucker-Foltz
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2024-04-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/9090/pdf