Alcântara, J., Damásio, C.V., Pereira, L.M.: Paraconsistent Logic Programs. In: Logics in Artificial Intelligence, pp. 345–356. Springer (2002)
Alcântara, J., Damásio, C. V., Pereira, L.M.: A Declarative Characterisation of Disjunctive Paraconsistent Answer Sets. In: ECAI. vol. 16, pp. 951. Citeseer (2004)
Alcântara, J., Damásio, C. V., Pereira, L.M.: An encompassing framework for paraconsistent logic programs. J. Appl. Log. 3(1), 67–95 (2005)
Arieli, O.: Paraconsistent declarative semantics for extended logic programs. Ann. Math. Artif. Intell. 36(4), 381–417 (2002)
Arieli, O.: Distance-based paraconsistent logics. Int. J. Approx. Reason. 48(3), 766–783 (2008)
Bagai, R.: Tuple Relational Calculus for Paraconsistent Databases. In: Advances in Artificial Intelligence, pp. 409–416. Springer (2000)
Bagai, R., Sunderraman, R.: A paraconsistent relational data model. Int. J. Comput. Math. 55(1-2), 39–55 (1995)
Bagai, R., Sunderraman, R.: Bottom-up computation of the fitting model for general deductive databases. J. Intell. Inf. Syst. 6(1), 59–75 (1996)
Bagai, R., Sunderraman, R.: Computing the well-founded model of deductive databases. Int. J. Uncertainty Fuzziness Knowledge Based Syst. 4(02), 157–175 (1996)
Barceló, P., Bertossi, L.: Logic Programs for Querying Inconsistent Databases. In: Practical Aspects of Declarative Languages, pp. 208–222. Springer (2003)
Belnap, Jr, N.D.: A Useful Four-Valued Logic. In: Modern Uses of Multiple-Valued Logic, pp. 5–37. Springer (1977)
Blair, H.A., Subrahmanian, V.: Paraconsistent logic programming. Theor. Comput. Sci. 68(2), 135–154 (1989)
Carnielli, W., Coniglio, M.E., Marcos, J.: Logics of Formal Inconsistency. In: Handbook of Philosophical Logic, pp. 1–93. Springer (2007)
Chazarain, J., Riscos, A., Alonso, J., Briales, E.: Multi-valued logic and gröner bases with applications to modal logic. J. Symb. Comput. 11(3), 181–194 (1991)
Damásio, C. V., Pereira, L.M.: A Survey of Paraconsistent Semantics for Logic Programs. In: Reasoning with Actual and Potential Contradictions, pp. 241–320. Springer (1998)
Galindo, M.J.O., Ramírez, J.R.A., Carballido, J.L.: Logical weak completions of paraconsistent logics. J. Log. Comput. 18(6), 913–940 (2008). doi:10.1093/logcom/exn015
Gelfond, M., Lifschitz, V.: Classical negation in logic programs and disjunctive databases. N. Gener. Comput. 9(3-4), 365–385 (1991)
Greco, G., Greco, S., Zumpano, E.: A logical framework for querying and repairing inconsistent databases. IEEE Trans. Knowl. Data Eng. 15(6), 1389–1408 (2003)
Greco, S., Zumpano, E.: Querying Inconsistent Databases. In: Logic for Programming and Automated Reasoning. pp. 308–325. Springer (2000)
Hunter, A.: Paraconsistent logics handbook of defeasible reasoning and uncertainty management systems: volume 2: reasoning with actual and potential contradictions (1998)
Hunter, A.: Reasoning with contradictory information using quasi-classical logic. J. Log. Comput. 10(5), 677–703 (2000)
Jayakumar, B., Sunderraman, R.: Paraconsistent relational model: a quasi-classic logic approach. In: IJCAI Workshop. vol. 13, pp. 82–90 (2015)
Klir, G., Yuan, B.: Fuzzy sets and fuzzy logic, vol. 4. Prentice Hall, New Jersey (1995)
Mayatskiy, N., Odintsov, S.P.: On deductive bases for paraconsistent answer set semantics. Journal of Applied Non-Classical Logics 23(1-2), 131–146 (2013)
Mendel, J.M.: Uncertain rule-based fuzzy logic system: introduction and new directions (2001)
Minker, J., Ruiz, C.: Semantics for disjunctive logic programs with explicit and default negation. Fundamenta Informaticae 20(1, 2, 3), 145–192 (1994)
Molinaro, C., Chomicki, J., Marcinkowski, J.: Disjunctive databases for representing repairs. Ann. Math. Artif. Intell. 57(2), 103–124 (2009)
Osorio, M., Pérez, J.A.N., Ramírez, J.R.A., Macías, V.B.: Logics with common weak completions. J. Log. Comput. 16(6), 867–890 (2006). doi:10.1093/logcom/exl013
Osorio, M., Zepeda, C., Nieves, J.C., Carballido, J.L.: G’3-stable semantics and inconsistency. Computación y Sistemas 13(1), 75–86 (2009)
Poole, D.: What the lottery paradox tells us about default reasoning. KR 89, 333–340 (1989)
Ricca, F., Faber, W., Leone, N.: A backjumping technique for disjunctive logic programming. AI Commun. 19(2), 155–172 (2006)
Sakama, C., Inoue, K.: Paraconsistent stable semantics for extended disjunctive programs. J. Log. Comput. 5(3), 265–285 (1995)
Subrahmanian, V.: Paraconsistent Disjunctive Deductive Databases. In: Proceedings of the Twentieth International Symposium on Multiple-Valued Logic, 1990. pp. 339–346. IEEE (1990)
Subrahmanian, V.: Paraconsistent disjunctive deductive databases. Theor. Comput. Sci. 93(1), 115–141 (1992)
Sunderraman, R.: Modeling Negative and Disjunctive Information in Relational Databases. In: Database and Expert Systems Applications. pp. 337–346. Springer (1997)
Zhang, X., Xiao, G., Lin, Z., Van den Bussche, J.: Inconsistency-tolerant reasoning with owl dl. Int. J. Approx. Reason. 55(2), 557–584 (2014)
Zhang, Z., Lin, Z., Ren, S.: Quasi-Classical Model Semantics for Logic Programs–A Paraconsistent Approach. In: Foundations of Intelligent Systems, pp. 181–190. Springer (2009)
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