Ordered Fragments of First-Order Logic

Author Reijo Jaakkola

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Author Details

Reijo Jaakkola
  • University of Helsinki, Finland
  • Tampere University, Finland


The author wishes to thank Antti Kuusisto for many helpful discussions on fragments of first-order logic. The author also wishes to thank the anonymous reviewers for their valuable suggestions concerning the exposition of the motivation and the context of the present work.

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Reijo Jaakkola. Ordered Fragments of First-Order Logic. In 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 202, pp. 62:1-62:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


Using a recently introduced algebraic framework for classifying fragments of first-order logic, we study the complexity of the satisfiability problem for several ordered fragments of first-order logic, which are obtained from the ordered logic and the fluted logic by modifying some of their syntactical restrictions.

Subject Classification

ACM Subject Classification
  • Theory of computation → Logic
  • ordered logic
  • fluted logic
  • complexity
  • decidability


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