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Mathematics > Logic

arXiv:2209.10039 (math)
[Submitted on 20 Sep 2022]

Title:Intermediate logics in the setting of team semantics

Authors:Nick Bezhanishvili, Fan Yang
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Abstract:Several authors have recently defined intuitionistic logic based on team semantics (tIPC). In this paper we provide two alternative approaches to intermediate logics in the team semantics setting. We do this by modifying tIPC 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.
Subjects: Logic (math.LO)
MSC classes: 03B55, 03B60
Cite as: arXiv:2209.10039 [math.LO]
  (or arXiv:2209.10039v1 [math.LO] for this version)
  https://doi.org/10.48550/arXiv.2209.10039

Submission history

From: Fan Yang [view email]
[v1] Tue, 20 Sep 2022 23:18:49 UTC (61 KB)
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