Refutations in wansing's logic

• Autorzy: Skura T.

Identyfikatory

DOI

10.4467/20842589RM.17.005.7143

• Języki publikacji: EN

Abstrakty

EN

A refutation system for Wansing's logicW(which is an expansion of Nelson's logic) is given. The refutation system provides an ecient decision procedure for W. The procedure consists in constructing for any normal form afinite syntactic tree with the property that the origin is non-valid iff some end node is non-valid. The finite model property is also established.

Słowa kluczowe

EN

Nelson's logic; nonmonotonic inference; decision procedures; refutation systems

• Wydawca: Wydawnictwo Uniwersytetu Jagiellońskiego
• Czasopismo: Reports on Mathematical Logic
• Rocznik: 2017
• Tom: Vol. 52
• Strony: 83--99
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Skura T.

• Institute of Philosophy University of Zielona Góra Wojska Polskiego 71A, 65-762 Zielona Góra

Bibliografia

• [1] Y. Gurevich, Intuitionistic logic with strong negation, Studia Logica 36 (1977), 49-59.
• [2] S.P. Odintsov, Constructive Negations and Paraconsistency, Springer, Dordrecht, 2008.
• [3] H. Omori, An axiomatization of Wansing's expansion of Nelson's logic, Reports on Mathematical Logic 50 (2015), 41-51.
• [4] H. Omori, A note on Wansing's expansion of Nelson's logic - a correction to "An axiomatization of Wansing's expansion of Nelson's logic", Reports on Mathematical Logic 51 (2016), 133-144.
• [5] T. Skura, Refutation systems in propositional logic, Handbook of Philosophical Logic 16 (2011), 115-157.
• [6] T. Skura, Refutation Methods in Modal Propositional Logic, Semper, Warszawa, 2013.
• [7] H. Wansing, Semantics-based nonmonotonic inference, Notre Dame Journal of Formal Logic 36 (1995), 44-54.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).