A Useful Four-Valued Extension of the Temporal Logic KtT4
| dc.contributor.author | Degauquier, Vincent | |
| dc.date.accessioned | 2019-01-14T14:03:04Z | |
| dc.date.available | 2019-01-14T14:03:04Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0138-0680 | |
| dc.identifier.uri | http://hdl.handle.net/11089/26409 | |
| dc.description.abstract | The temporal logic KtT4 is the modal logic obtained from the minimal temporal logic Kt by requiring the accessibility relation to be reflexive (which corresponds to the axiom T) and transitive (which corresponds to the axiom 4). This article aims, firstly, at providing both a model-theoretic and a proof-theoretic characterisation of a four-valued extension of the temporal logic KtT4 and, secondly, at identifying some of the most useful properties of this extension in the context of partial and paraconsistent logics. | en_GB |
| dc.language.iso | en | en_GB |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | en_GB |
| dc.relation.ispartofseries | Bulletin of the Section of Logic;1 | |
| dc.rights | This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. | en_GB |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | en_GB |
| dc.subject | temporal logic | en_GB |
| dc.subject | many-valued logic | en_GB |
| dc.subject | bi-intuitionistic logic | en_GB |
| dc.subject | paraconsistent logic | en_GB |
| dc.subject | sequent calculus | en_GB |
| dc.subject | duality | en_GB |
| dc.subject | cut-redundancy | en_GB |
| dc.title | A Useful Four-Valued Extension of the Temporal Logic KtT4 | en_GB |
| dc.type | Article | en_GB |
| dc.page.number | 15-31 | |
| dc.contributor.authorAffiliation | Espace philosophique de Namur, University of Namur, Rue de Bruxelles 61, 5000 Namur – Belgium | |
| dc.identifier.eissn | 2449-836X | |
| dc.references | N. D. Belnap, A useful four-valued logic, [in:] J. M. Dunn and G. Epstein (eds.), Modern uses of multiple-valued logic, Reidel Publishing Company, Dordrecht, 1977, pp. 8–37. | en_GB |
| dc.references | A. Bochman, Biconsequence relations: a four-valued formalism of reasoning with inconsistency and incompleteness, Notre Dame Journal of Formal Logic, Vol. 39, No. 1 (1998), pp. 47–73. | en_GB |
| dc.references | N. Bonnette and R. Goré, A labelled sequent system for tense logic Kt, [in:] G. Antoniou and J. Slaney (eds.), Advanced topics in artificial intelligence. 11th Australian joint conference on artificial intelligence, AI’98. Brisbane, Australia, July 13–17, 1998. Selected papers, Springer-Verlag, Berlin, 1998, pp. 71–82. | en_GB |
| dc.references | A. B. M. Brunner and W. A. Carnielli, Anti-intuitionism and paraconsistency, Journal of Applied Logic, Vol. 3, No. 1 (2005), pp. 161–184. | en_GB |
| dc.references | J. P. Burgess, Basic tense logic, [in:] D. Gabbay and F. Guenthner (eds.), Handbook of philosophical logic. Volume II. Extensions of classical logic, Reidel Publishing Company, Dordrecht, 1984, pp. 89–133. | en_GB |
| dc.references | V. Degauquier, Cuts, gluts and gaps, Logique et Analyse, Vol. 55, No. 218 (2012), pp. 229–240. | en_GB |
| dc.references | J. M. Dunn, Intuitive semantics for first-degree entailments and ‘coupled trees’, Philosophical Studies, Vol. 29, No. 3 (1976), pp. 149–168. | en_GB |
| dc.references | J. M. Dunn, Partiality and its dual, Studia Logica, Vol. 66, No. 1 (2000), pp. 5–40. | en_GB |
| dc.references | J. Y. Girard, Three-valued logic and cut-elimination: the actual meaning of Takeuti’s conjecture, Dissertationes Mathematicae (Rozprawy Matematyczne), Vol. 136 (1976), pp. 1–49. | en_GB |
| dc.references | K. Gödel, On the intuitionistic propositional calculus, [in:] S. Feferman (ed), Collected works. Volume I. Publications 1929–1936, Oxford University Press, New York, 1986, pp. 222–225. | en_GB |
| dc.references | R. Goré, Dual intuitionistic logic revisited, [in:] R. Dyckhoff (ed), Automated reasoning with analytic tableaux and related methods. International conference, TABLEAUX 2000. St Andrews, Scotland, UK, July 3–7, 2000. Proceedings, Springer-Verlag, Berlin, 2000, pp. 252–267. | en_GB |
| dc.references | P. Łukowski, Modal interpretation of Heyting-Brouwer logic, Bulletin of the Section of Logic, Vol. 25, No. 2 (1996), pp. 80–83. | en_GB |
| dc.references | R. Muskens, On partial and paraconsistent logics, Notre Dame Journal of Formal Logic, Vol. 40, No. 3 (1999), pp. 352–374. | en_GB |
| dc.references | S. Negri, Proof analysis in modal logic, Journal of Philosophical Logic, Vol. 34, No. 5/6 (2005), pp. 507–544. | en_GB |
| dc.references | G. Priest, Many-valued modal logics: a simple approach, The Review of Symbolic Logic, Vol. 1, No. 2 (2008), pp. 190–203. | en_GB |
| dc.references | C. Rauszer, An algebraic and Kripke-style approach to a certain extension of intuitionistic logic, Dissertationes Mathematicae (Rozprawy Matematyczne), Vol. 167 (1980), pp. 1–62. | en_GB |
| dc.references | N. Rescher and A. Urquhart, Temporal logic, Springer-Verlag, Wien, 1971. | en_GB |
| dc.references | G. Restall, Laws of non-contradiction, laws of the excluded middle, and logics, [in:] G. Priest, J. Beall and B. Armour-Garb (eds.), The law of non-contradiction. New philosophical essays, Clarendon Press, Oxford, 2004, pp. 73–84. | en_GB |
| dc.contributor.authorEmail | vincent.degauquier@gmail.com | |
| dc.identifier.doi | 10.18778/0138-0680.47.1.02 | |
| dc.relation.volume | 47 | en_GB |
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