Canonical Polymorphisms of Ramsey Structures and the Unique Interpolation Property

Constraint satisfaction problems for first-order reducts of finitely bounded homogeneous structures form a large class of computational problems that might exhibit a complexity dichotomy, P versus NP-complete. A powerful method to obtain polynomial-time tractability results for such CSPs is a certai...

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Bibliographic Details
Published in:Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science pp. 1 - 13
Main Authors: Bodirsky, Manuel, Bodor, Bertalan
Format: Conference Proceeding
Language:English
Published: IEEE 29.06.2021
Subjects:
Cognition
Complexity theory
Computer science
Interpolation
Sufficient conditions
Online Access:Get full text
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Summary:Constraint satisfaction problems for first-order reducts of finitely bounded homogeneous structures form a large class of computational problems that might exhibit a complexity dichotomy, P versus NP-complete. A powerful method to obtain polynomial-time tractability results for such CSPs is a certain reduction to polynomial-time tractable finite-domain CSPs de-fined over k-types, for a sufficiently large k. We give sufficient conditions when this method can be applied and illustrate how to use the general results to prove a new complexity dichotomy for first-order expansions of the basic relations of the spatial reasoning formalism RCC5.
DOI:10.1109/LICS52264.2021.9470683