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2019 | 48 | 3 | 161-171
Tytuł artykułu

A Note on Ciuciura’s mbC1

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Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This note offers a non-deterministic semantics for mbC1, introduced by Janusz Ciuciura, and establishes soundness and (strong) completeness results with respect to the Hilbert-style proof system. Moreover, based on the new semantics, we briefly discuss an unexplored variant of mbC1 which has a contra-classical flavor.
Rocznik
Tom
48
Numer
3
Strony
161-171
Opis fizyczny
Daty
wydano
2019-10-30
Twórcy
  • Ruhr-Universität Bochum, Department of Philosophy I
Bibliografia
  • A. Avron, Non-deterministic Matrices and Modular Semantics of Rules, [in:] J.-Y. Béziau (ed.), Logica Universalis, Birkhüser Verlag, 2005, pp. 149–167.
  • A. Avron, Non-deterministic Semantics for Families of Paraconsistent Logics, [in:] J. Y. Béziau, W. A. Carnielli and D. Gabbay (eds.), Handbook of Paraconsistency, College Publications, 2007, pp. 285–320.
  • A. Avron and B. Konikowska, Multi-valued calculi for logics based on non-determinism, Logic Journal of IGPL, Vol. 13, No. 4 (2005), pp. 365–387.
  • A. Avron and I. Lev, Non-Deterministic Multiple-valued Structures, Journal of Logic and Computation, Vol. 15, No. 3 (2005), pp. 241–261.
  • A. Avron and A. Zamansky, Non-Deterministic Semantics for Logical Systems, [in:] D. Gabbay and F. Guenthner (eds.), Handbook of Philosophical Logic, Vol. 16, Springer, 2011, pp. 227–304.
  • J. Cantwell, The Logic of Conditional Negation, Notre Dame Journal of Formal Logic, Vol. 49 (2008), pp. 245–260.
  • W. Carnielli, M. Coniglio and J. Marcos, Logics of Formal Inconsistency, [in:] D. Gabbay and F. Guenthner (eds.), Handbook of Philosphical Logic, Vol. 14, Dordrecht: Springer-Verlag, 2007, pp. 1–93.
  • W. Carnielli and J. Marcos, A Taxonomy of C-systems, [in:] W. A. Carnielli and M. E. Coniglio and I. M. L. d’Ottaviano (eds.), Paraconsistency: The Logical Way to the Inconsistent, Proceedings of the II World Congress on Paraconsistency, Marcel Dekker, 2002, pp. 1–94.
  • W. Carnielli, J. Marcos and S. de Amo, Formal Inconsistency and Evolutionary Databases, Logic and Logical Philosophy, Vol. 8 (2000), pp. 115–152.
  • J. Ciuciura, Paraconsistent heap. A Hierarchy of mbCn-systems, Bulletin of the Section of Logic, Vol. 43, No. 3/4 (2014), pp. 173–182.
  • L. Humberstone, Negation by iteration, Theoria, Vol. 61, No. 1 (1995), pp. 1–24.
  • L. Humberstone, Contra-classical logics, Australasian Journal of Philosophy, Vol. 78, No. 4 (2000), pp. 438–474.
  • N. Kamide, Paraconsistent Double Negations as Classical and Intuitionistic Negations, Studia Logica, Vol. 105, No. 6 (2017), pp. 1167–1191.
  • G. Olkhovikov, On a new three-valued paraconsistent logic, IfCoLog Journal of Logics and their Applications, Vol. 3, No. 3 (2016), pp. 317–334.
  • H. Omori, From paraconsistent logic to dialetheic logic, [in:] Holger Andreas and Peter Verd´ee (eds.), Logical Studies of Paraconsistent Reasoning in Science and Mathematics, Springer, 2016, pp. 111–134.
  • H. Omori, Sette’s Logics, Revisited, [in:] A. Baltag, J. Seligman and T. Yamada (eds.), Proceedings of LORI 2017, 2017, pp. 451–465.
  • H. Omori and H. Wansing, On Contra-classical variants of Nelson logic N4 and its classical extension, The Review of Symbolic Logic, Vol. 11, No. 4 (2018), pp. 805–820.
  • F. Paoli, Bilattice Logics and Demi-Negation, [in:] Hitoshi Omori and Heinrich Wansing (eds.), New Essays on Belnap-Dunn Logic, Synthese Library, Springer, forthcoming.
  • A. Sette, On the propositional calculus P1, Mathematica Japonicae, Vol. 16 (1973), pp. 173–180.
  • W. Heinrich, Connexive Logic, [in:] Edward N. Zalta, The Stanford Encyclopedia of Philosophy, 2014, Fall 2014, http://plato.stanford.edu/archives/fall2014/entries/logic-connexive/
  • T. Waragai and H. Omori, Some New Results on PCL1 and its Related Systems, Logic and Logical Philosophy, Vol. 19, No. 1/2 (2010), pp. 129–158.
  • T. Waragai and T. Shidori, A system of paraconsistent logic that has the notion of “behaving classically” in terms of the law of double negation and its relation to S5, [in:] J.-Y. B´eziau, W. A. Carnielli and D. Gabbay (eds.), Handbook of Paraconsistency, 2007, College Publications, pp. 177–187.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
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