Maximal Infinite-Valued Constraint Languages

  • Manuel Bodirsky
  • Hubie Chen
  • Jan Kára
  • Timo von Oertzen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4596)


We systematically investigate the computational complexity of constraint satisfaction problems for constraint languages over an infinite domain. In particular, we study a generalization of the wellestablished notion of maximal constraint languages from finite to infinite domains. If the constraint language can be defined with an ù-categorical structure, then maximal constraint languages are in one-to-one correspondence to minimal oligomorphic clones. Based on this correspondence, we derive general tractability and hardness criteria for the corresponding constraint satisfaction problems.


Constraint Satisfaction Constraint Satisfaction Problem Spatial Reasoning Temporal Reasoning Constraint Language 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Manuel Bodirsky
    • 1
  • Hubie Chen
    • 2
  • Jan Kára
    • 3
  • Timo von Oertzen
    • 4
  1. 1.Department of Algorithms and Complexity, Humboldt University, Berlin 
  2. 2.Department of Applied Mathematics, Charles University, Prague 
  3. 3.Departament de Tecnologies de la Informació i les Comunicacions 
  4. 4.Max-Planck-Institute for Human Development, Berlin 

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