Composition-Nominative Logics as Institutions

Abstract

Composition-nominative logics (CNL) are program-oriented logics. They are based on algebras of partial predicates which do not have fixed arity. The aim of this work is to present CNL as institutions. Homomorphisms of first-order CNL are introduced, satisfaction condition is proved. Relations with institutions for classical first-order logic are considered. Directions for further investigation are outlined.

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Correspondence to Mykola Nikitchenko.

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We thank Dr. Valentyn Tymofieiev and anonymous reviewers for helpful comments.

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Chentsov, A., Nikitchenko, M. Composition-Nominative Logics as Institutions. Log. Univers. 12, 221–238 (2018). https://doi.org/10.1007/s11787-018-0191-x

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Keywords

  • Institution
  • first-order logic
  • partial predicate
  • quasiary predicate
  • composition-nominative logic

Mathematics Subject Classification

  • Primary 03B70
  • Secondary 03B10
  • 03C95
  • 03G25