Solving Order Constraints in Logarithmic Space

  • Authors:
  • Andrei A. Krokhin;Benoit Larose

  • Affiliations:
  • -;-

  • Venue:
  • STACS '03 Proceedings of the 20th Annual Symposium on Theoretical Aspects of Computer Science
  • Year:
  • 2003

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Abstract

We combine methods of order theory, finite model theory, and universal algebra to study, within the constraint satisfaction framework, the complexity of some well-known combinatorial problems connected with a finite poset. We identify some conditions on a poset which guarantee solvability of the problems in (deterministic, symmetric, or non-deterministic) logarithmic space. On the example of order constraints we study how a certain algebraic invariance property is related to solvability of a constraint satisfaction problem in nondeterministic logarithmic space.