On the Expression Complexity of Equivalence and Isomorphism of Primitive Positive Formulas

Authors Matt Valeriote, Simone Bova, Hubie Chen



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Matt Valeriote
Simone Bova
Hubie Chen

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Matt Valeriote, Simone Bova, and Hubie Chen. On the Expression Complexity of Equivalence and Isomorphism of Primitive Positive Formulas. In The Constraint Satisfaction Problem: Complexity and Approximability. Dagstuhl Seminar Proceedings, Volume 9441, pp. 1-20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010) https://doi.org/10.4230/DagSemProc.09441.3

Abstract

We study the complexity of
equivalence and isomorphism on
primitive positive formulas with respect to a given structure.
We study these problems for various fixed structures;
we present generic hardness and complexity class containment
results, and give classification theorems for the case of
two-element (boolean) structures.

Subject Classification

Keywords
  • Expression complexity
  • equivalence
  • isomorphism
  • primitive positive formulas

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