Disjunction and Negation in Information Based Semantics

0547117 - FLÚ 2022 RIV DE eng C - Conference Paper (international conference)
Punčochář, Vít - Tedder, Andrew
Disjunction and Negation in Information Based Semantics.
Logic, Language, Information, and Computation. Cham: Springer, 2021 - (Silva, A.; Wassermann, R.; de Queiroz, R.), s. 355-371. Lecture Notes in Computer Science, 13038. ISBN 978-3-030-88852-7; ISBN 978-3-030-88853-4.
[WoLLIC 2021. Workshop on Logic, Language, Information, and Computation /27./. online (NL), 05.10.2021-08.10.2021]
R&D Projects: GA ČR(CZ) GM21-23610M
Institutional support: RVO:67985955
Keywords : Non-classical logics * Incompatibility * Information * Relational semantics * Negation * Disjunction
OECD category: Philosophy, History and Philosophy of science and technology
https://doi.org/10.1007/978-3-030-88853-4_22

We investigate an information based generalization of the incompatibility-frame treatment of logics with non-classical negation connectives. Our framework can be viewed as an alternative to the neighbourhood semantics for extensions of lattice logic by various negation connectives, investigated by Hartonas. We set out the basic semantic framework, along with some correspondence results for extensions. We describe three kinds of constructions of canonical models and show that double negation law is not canonical with respect to any of these constructions. We also compare our semantics to Hartonas’.
Permanent Link: http://hdl.handle.net/11104/0323448