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cs.LO2026
Deciding Amalgamation Beyond Arity Two: The Semantic Horn Case
Jakub Rydval
We study the amalgamation decision problem (ADP): given a universal first-order sentence , decide whether the class of its finite models has the amalgamation pr…
cs.LO2026
The Polynomial Hierarchy and -categorical CSPs
Santiago Guzmán Pro, Jakub Rydval
In 2008, Bodirsky and Grohe showed that for every -level of the Polynomial Hierarchy (PH) there are -categorical Constraint Satisfaction Problems (CSPs) comple…