Two Neighborhood Semantics for Subintuitionistic Logics

Authors
Publication date 2019
Host editors
  • A. Silva
  • S. Staton
  • P. Sutton
  • C. Umbach
Book title Language, Logic, and Computation
Book subtitle 12th International Tbilisi Symposium, TbiLLC 2017, Lagodekhi, Georgia, September 18-22, 2017 : revised selected papers
ISBN
  • 9783662595640
ISBN (electronic)
  • 9783662595657
Series Lecture Notes in Computer Science
Event 12th Tbilisi Symposium on Language, Logic and Computation
Pages (from-to) 64-85
Publisher Berlin: Springer
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract This investigation is concerned with weak subintuitionistic logics interpreted over neighborhood models introduced by the authors in 2016. The two types of neighborhood semantics introduced in that article are compared and their relationship is clarified. Thereby modal companions for various logics are recognized. Specifically, a logic is found which has basic monotonic logic with necessitation as its modal companion. Many of the extensions of the basic logics are discussed and characterized.
Document type Conference contribution
Language English
Published at https://doi.org/10.1007/978-3-662-59565-7_4
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