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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
A Four-Valued Kripke Semantics for Classical and Intuitionistic Logic
 Přenosil, Adam ; Bílková, Marta (advisor) ; Cintula, Petr (referee)
The thesis introduces a logic which combines intuitionistic implication with de Morgan negation in a way which conservatively extends both classical and intuitionistic logic. This logic is the intuitionistic counterpart of the four-valued Belnap-Dunn logic. In relation to this logic, we study de Morgan algebras and their expansions, in particular their expansion with a constant representing inconsistency. We prove a duality for such algebras extending the Priestley duality. We also introduce a weak notion of modal algebra and prove a duality for such algebras. We then define analytic sequent calculi for various logics of de Morgan negation. Powered by TCPDF (www.tcpdf.org)
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Logic, Algebra and Truth Degrees 2010
 Chvalovský, Karel ; Cintula, Petr ; Noguera, C.
Volume of abstracts from the conference Logic, Algebra and Truth Degrees 2010 (the second official meeting of the EUSFLAT Working Group on Mathematical Fuzzy Logic) which was held on 7-11 September 2010 in Prague. The volume was published by Institute of Theoretical informatics as volume 2010-502 of ITI Series and is available at http://iti.mff.cuni.cz/series/
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