Model constructions for $\GBL_ewf$

Conference item

Lewis-Smith, A. and Zhao, Z. 2026. Model constructions for $\GBL_ewf$. 15th Panhellenic Logic Symposium. Athens, Greece 06 - 10 Jul 2026
TitleModel constructions for $\GBL_ewf$
AuthorsLewis-Smith, A. and Zhao, Z.
Abstract

We develop model-theoretic constructions for fuzzy logics characterised by the poset product construction \cite{JIPSEN20101559}, particularly Generalised Basic Logic with Exchange, Weakening and Ex Falso Quodlibet ($\GBLe$) and extensions, such as Hajek's Basic Logic ($\BL$). This theory therefore generalises standard constructions from modal and intuitionistic logic to the fuzzy case. We build upon insights from \cite{Fussner2022,lewis2023kripke,Robinson2021-LEWKSF,LZWEM,LZCorr,TwoKripke}.

KeywordsModel theory for Fuzzy logics; Poset products; GBL; Modal model theory
Sustainable Development Goals9 Industry, innovation and infrastructure
Middlesex University ThemeCreativity, Culture & Enterprise
Conference15th Panhellenic Logic Symposium
Publication process dates
Submitted18 Sep 2025
Accepted08 May 2026
Deposited20 May 2026
Output statusAccepted
First submitted version
File Access Level
Open
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