Tableaux approach for contact logics interpreted over intervals
Contact logics are modal logic that is developed for reasoning about region-based theories of space. We develope a tableaux approach for contact logics interpreted over intervals (CLIOI) on the reals. For obtaining sound and complete tableaux-based decision procedures, the main technical tool is the...
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Published in | Reports on mathematical logic Vol. 58; no. 58; pp. 3 - 13 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Kraków
Wydawnictwo Uniwersytetu Jagiellońskiego
2023
Jagiellonian University Press Jagiellonian University-Jagiellonian University Press |
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Abstract | Contact logics are modal logic that is developed for reasoning about region-based theories of space. We develope a tableaux approach for contact logics interpreted over intervals (CLIOI) on the reals. For obtaining sound and complete tableaux-based decision procedures, the main technical tool is the semantic tableaux approach. We use intensively the following concepts: tableaux methods, termination of tableaux methods, saturated tableaux, termination theorem, soundness theorem, truth lemma, and completeness theorem. |
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AbstractList | Contact logics are modal logic that is developed for reasoning about region-based theories of space. We develope a tableaux approach for contact logics interpreted over intervals (CLIOI) on the reals. For obtaining sound and complete tableaux-based decision procedures, the main technical tool is the semantic tableaux approach. We use intensively the following concepts: tableaux methods, termination of tableaux methods, saturated tableaux, termination theorem, soundness theorem, truth lemma, and completeness theorem. Contact logics are modal logic that is developed for reasoning about region-based theories of space. We develope a tableaux approach for contact logics interpreted over intervals (CLIOI) on the reals. For obtaining sound and complete tableaux-based decision procedures, the main technical tool is the semantic tableaux approach. We use intensively the following concepts: tableaux methods, termination of tableaux methods, saturated tableaux, termination theorem, soundness theorem, truth lemma, and completeness theorem.AMS subject classification: 03G05, 03B60, 03B70, 68T27 |
Author | Özdemir, Zafer |
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Cites_doi | 10.3233/FI-2014-973 10.2168/LMCS-6(3:7)2010 10.1093/oso/9780198233978.001.0001 10.1007/3-540-48384-5_17 10.2307/2272270 10.1305/ndjfl/1093894722 10.3166/jancl.17.39-61 10.1017/CBO9781107050884 10.1016/j.tcs.2005.06.030 10.1007/978-0-387-69245-6_6 |
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References | ref13 Düntsch (ref6) 2005; 347 ref11 ref10 ref0 ref2 ref8 ref7 ref9 ref4 ref3 ref5 Van Benthem (ref12) 1975; 40 Balbiani (ref1) 2014; 129 |
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Title | Tableaux approach for contact logics interpreted over intervals |
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