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Volumn 16, Issue 11, 2012, Pages 1817-1831

Reasoning about ignorance and contradiction: Many-valued logics versus epistemic logic

Author keywords

Epistemic logic; Inconsistency; Partial knowledge; Possibility theory; Three valued logic

Indexed keywords

EPISTEMIC LOGIC; INCONSISTENCY; PARTIAL KNOWLEDGE; POSSIBILITY THEORY; THREE-VALUED LOGIC;

EID: 84867713969     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-012-0833-5     Document Type: Article
Times cited : (20)

References (40)
  • 1
    • 69049099052 scopus 로고    scopus 로고
    • A simple modal logic for reasoning about revealed beliefs
    • In: Sossai C, Chemello G (eds) ECSQARU, Springer, Berlin
    • Banerjee M, Dubois D (2009) A simple modal logic for reasoning about revealed beliefs. In: Sossai C, Chemello G (eds) ECSQARU, Lecture Notes in Computer Science, vol 5590. Springer, Berlin, pp 805-816.
    • (2009) Lecture Notes in Computer Science , vol.5590 , pp. 805-816
    • Banerjee, M.1    Dubois, D.2
  • 2
    • 0001842931 scopus 로고
    • How a computer should think
    • In: Ryle G (ed), Oriel Press, Boston
    • Belnap ND (1977a) How a computer should think. In: Ryle G (ed) Contemporary Aspects of Philosophy. Oriel Press, Boston, pp 30-56.
    • (1977) Contemporary Aspects of Philosophy , pp. 30-56
    • Belnap, N.D.1
  • 3
    • 0001842932 scopus 로고
    • A useful four-valued logic
    • In: Dunn JM, Epstein G (eds)D. Reidel, Dordrecht
    • Belnap ND (1977b) A useful four-valued logic. In: Dunn JM, Epstein G (eds) Modern uses of multiple-valued logic. D. Reidel, Dordrecht, pp 18-37.
    • (1977) Modern uses of multiple-valued logic , pp. 18-37
    • Belnap, N.D.1
  • 4
    • 33646199560 scopus 로고    scopus 로고
    • Partial logic
    • In Gabbay D, Guentner F editors, Handbook of Philosophical Logic, 2d Edl, Dordrecht, The Netherlands
    • Blamey S (1998) Partial logic. In Gabbay D, Guentner F editors, Handbook of Philosophical Logic, 2d Ed., volume 5, pages 261-353. Kluwer Academic Publ., Dordrecht, The Netherlands.
    • (1998) Kluwer Academic Pub , vol.5 , pp. 261-353
    • Blamey, S.1
  • 5
    • 0004837075 scopus 로고    scopus 로고
    • Truth-functionality and measure-based logics
    • In: Dubois D, Prade H, Klement EP (eds), Applied Logic Series,Kluwer, Dordrecht
    • Boldrin L, Sossai C (1999) Truth-functionality and measure-based logics. In: Dubois D, Prade H, Klement EP (eds) Fuzzy sets, logic and reasoning about knowledge, Applied Logic Series, vol 15. Kluwer, Dordrecht, pp 351-380.
    • (1999) Fuzzy sets, logic and reasoning about knowledge , vol.15 , pp. 351-380
    • Boldrin, L.1    Sossai, C.2
  • 6
    • 1642458595 scopus 로고
    • Probability logic
    • Burgess JP (1969) Probability logic. J Symbol Log 34(2): 264-274.
    • (1969) J Symbol Log , vol.34 , Issue.2 , pp. 264-274
    • Burgess, J.P.1
  • 8
    • 77958051780 scopus 로고    scopus 로고
    • Plausibility of information reported by successive sources
    • In: Deshpande A, Hunter A (eds), Springer, Berlin
    • Cholvy L (2010) Plausibility of information reported by successive sources. In: Deshpande A, Hunter A (eds) SUM, Lecture Notes in Computer Science, vol 6379. Springer, Berlin, pp 126-136.
    • (2010) SUM, Lecture Notes in Computer Science , vol.6379 , pp. 126-136
    • Cholvy, L.1
  • 10
    • 0001315686 scopus 로고    scopus 로고
    • Frosm possibilistic information to kleene's strong multi-valued logics
    • In: Dubois D et al (eds), Kluwer Academic Publ., Dordrecht
    • De Cooman G (1999) Frosm possibilistic information to kleene's strong multi-valued logics. In: Dubois D et al (eds) Fuzzy sets, logics and reasoning about knowledge. Kluwer Academic Publ., Dordrecht, pp 261-353.
    • (1999) Fuzzy sets, logics and reasoning about knowledge , pp. 261-353
    • de Cooman, G.1
  • 12
    • 41249094763 scopus 로고    scopus 로고
    • On ignorance and contradiction considered as truth-values
    • Dubois D (2008) On ignorance and contradiction considered as truth-values. Log J IGPL 16(2): 195-216.
    • (2008) Log J IGPL , vol.16 , Issue.2 , pp. 195-216
    • Dubois, D.1
  • 13
    • 78049386555 scopus 로고    scopus 로고
    • Author's response to Wansing and Belnap's generalized truth-values
    • Dubois D (2010a) Author's response to Wansing and Belnap's generalized truth-values. Log J IGPL 18(6): 936-940.
    • (2010) Log J IGPL , vol.18 , Issue.6 , pp. 936-940
    • Dubois, D.1
  • 14
    • 75749095574 scopus 로고    scopus 로고
    • Degrees of truth, ill-known sets and contradiction
    • In: Bouchon-Meunier B, Magdalena L, Ojeda-Aciego M, Verdegay J-L (eds), Springer-Verlag, Berlin
    • Dubois D (2010b) Degrees of truth, ill-known sets and contradiction. In: Bouchon-Meunier B, Magdalena L, Ojeda-Aciego M, Verdegay J-L (eds) Foundations of reasoning under uncertainty, Studies in Fuzziness and Soft Computing, vol 249. Springer-Verlag, Berlin, pp 65-83.
    • (2010) Foundations of reasoning under uncertainty, Studies in Fuzziness and Soft Computing , vol.249 , pp. 65-83
    • Dubois, D.1
  • 15
    • 79955054307 scopus 로고    scopus 로고
    • Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets
    • Dubois D (2011) Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets. Fuzzy sets and Systems, to appear.
    • (2011) Fuzzy sets and Systems, to appear
    • Dubois, D.1
  • 16
    • 67649447331 scopus 로고    scopus 로고
    • Fuzzy-set based logics-an history-oriented presentation of their main developments
    • In: Gabbay DM, Woods J (eds), The many valued and nonmonotonic turn in logic. Oxford University Press, Oxford
    • Dubois D, Esteva F, Godo L, Prade H (2007) Fuzzy-set based logics-an history-oriented presentation of their main developments. In: Gabbay DM, Woods J (eds) Handbook of the history of logic, vol 8, The many valued and nonmonotonic turn in logic. Oxford University Press, Oxford, pp 325-449.
    • (2007) Handbook of the history of logic , vol.8 , pp. 325-449
    • Dubois, D.1    Esteva, F.2    Godo, L.3    Prade, H.4
  • 17
  • 20
    • 0035618193 scopus 로고    scopus 로고
    • Possibility theory, probability theory and multiple-valued logics: a clarification
    • Dubois D, Prade H (2001) Possibility theory, probability theory and multiple-valued logics: a clarification. Ann Math Artif Intell 32: 35-66.
    • (2001) Ann Math Artif Intell , vol.32 , pp. 35-66
    • Dubois, D.1    Prade, H.2
  • 21
    • 80054054733 scopus 로고    scopus 로고
    • Generalized possibilistic logic
    • In: Benferhat S, Grant J (eds), Springer, Berlin
    • Dubois D, Prade H (2011) Generalized possibilistic logic. In: Benferhat S, Grant J (eds) SUM, Lecture Notes in Computer Science, vol 6929. Springer, Berlin, pp 428-432.
    • (2011) SUM, Lecture Notes in Computer Science , vol.6929 , pp. 428-432
    • Dubois, D.1    Prade, H.2
  • 22
    • 0007912444 scopus 로고
    • Intuitive semantics for first-degree entailment and coupled trees
    • Dunn JM (1976) Intuitive semantics for first-degree entailment and coupled trees. Philos Stud 29: 149-168.
    • (1976) Philos Stud , vol.29 , pp. 149-168
    • Dunn, J.M.1
  • 23
    • 44949277265 scopus 로고
    • Bilattices and the semantics of logic programming
    • Fitting M (1991) Bilattices and the semantics of logic programming. J Log Program 11: 91-116.
    • (1991) J Log Program , vol.11 , pp. 91-116
    • Fitting, M.1
  • 24
    • 84990616630 scopus 로고
    • Multivalued logics: a uniform approach to reasoning in artificial intelligence
    • Ginsberg ML (1988) Multivalued logics: a uniform approach to reasoning in artificial intelligence. Comput Intell 4: 265-316.
    • (1988) Comput Intell , vol.4 , pp. 265-316
    • Ginsberg, M.L.1
  • 25
    • 0003612371 scopus 로고    scopus 로고
    • Proof theory of many-valued logic-linear optimization-logic design: connections and interactions
    • Haehnle R (1997) Proof theory of many-valued logic-linear optimization-logic design: connections and interactions. Soft Comput 1: 107-119.
    • (1997) Soft Comput , vol.1 , pp. 107-119
    • Haehnle, R.1
  • 27
    • 0012452812 scopus 로고
    • Fuzzy logic and probability
    • In: Besnard P, Hanks S (eds), Morgan Kaufmann
    • Hájek P, Godo L, Esteva F (1995) Fuzzy logic and probability. In: Besnard P, Hanks S (eds) UAI. Morgan Kaufmann, pp 237-244.
    • (1995) UAI , pp. 237-244
    • Hájek, P.1    Godo, L.2    Esteva, F.3
  • 28
    • 0040241328 scopus 로고
    • A logic for reasoning about knowledge and ignorance
    • In: Apt KR (eds), Springer, Berlin
    • Halpern J, Moses Y (1985) A logic for reasoning about knowledge and ignorance. In: Apt KR (eds) Logics and models of concurrent systems. Springer, Berlin
    • (1985) Logics and models of concurrent systems
    • Halpern, J.1    Moses, Y.2
  • 30
    • 1642540450 scopus 로고
    • The modal Probably
    • Hamblin CL (1959) The modal "Probably". Mind 60(270): 234-240.
    • (1959) Mind , vol.60 , Issue.270 , pp. 234-240
    • Hamblin, C.L.1
  • 32
    • 84968520781 scopus 로고
    • Introduction to metamathematics
    • New York
    • Kleene SC (1952) Introduction to metamathematics. van Nostrand, New York.
    • (1952) Van Nostrand
    • Kleene, S.C.1
  • 36
    • 0042113887 scopus 로고
    • Philosophical remarks on many-valued systems of propositional logic
    • In: Borkowski L (ed), North-Holland, The Netherlands
    • Łukasiewicz J (1970) Philosophical remarks on many-valued systems of propositional logic. In: Borkowski L (ed) Selected works. North-Holland, The Netherlands, pp 481-495.
    • (1970) Selected works , pp. 481-495
    • Łukasiewicz, J.1
  • 38
    • 39749193092 scopus 로고    scopus 로고
    • Triangle algebras: a formal logic approach to interval-valued residuated lattices
    • van Gasse B, Cornelis C, Deschrijver G, Kerre EE (2008) Triangle algebras: a formal logic approach to interval-valued residuated lattices. Fuzzy Sets Syst 159(9): 1042-1060.
    • (2008) Fuzzy Sets Syst , vol.159 , Issue.9 , pp. 1042-1060
    • van Gasse, B.1    Cornelis, C.2    Deschrijver, G.3    Kerre, E.E.4
  • 39
    • 0000224928 scopus 로고
    • Varieties of modal (classificatory) and comparative probability
    • Walley P, Fine TL (1979) Varieties of modal (classificatory) and comparative probability. Synthese 41: 321-374.
    • (1979) Synthese , vol.41 , pp. 321-374
    • Walley, P.1    Fine, T.L.2
  • 40
    • 77954520366 scopus 로고    scopus 로고
    • Generalized truth-values. A reply to Dubois
    • Wansing H, Belnap N (2010) Generalized truth-values. a reply to Dubois. Log J IGPL 18(6): 921-935.
    • (2010) Log J IGPL , vol.18 , Issue.6 , pp. 921-935
    • Wansing, H.1    Belnap, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.