Intermediate Logics in the Setting of Team Semantics

Open Access
Authors
Publication date 2024
Host editors
  • N. Bezhanishvili
  • R. Iemhoff
  • F. Yang
Book title Dick de Jongh on Intuitionistic and Provability Logics
ISBN
  • 9783031479205
ISBN (electronic)
  • 9783031479212
Series Outstanding Contributions to Logic
Pages (from-to) 231-271
Number of pages 41
Publisher Cham: Springer
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract Several authors have recently defined intuitionistic logic based on team semantics (tICP). In this paper we provide two alternative approaches to intermediate logics in the team semantics setting. We do this by modifying tICP with axioms written with two different versions of disjunction in the logic, a local one and global one. We prove a characterization theorem in the first approach and we introduce a generalized team semantics in the second one.
Document type Chapter
Language English
Published at https://doi.org/10.1007/978-3-031-47921-2_9
Downloads
978-3-031-47921-2_9 (Final published version)
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