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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 874))

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Abstract

We have considered a Boolean extension and a fuzzy Boolean extension of Allen’s interval logic. We present, for extended logics, the complete systems of inference rules based on analytic tableaux. The methods of query answering over ontologies and fact bases written un these logics were developed.

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References

  1. D’Aggostino, M., Gabbay, D., Hahnle, R., Possega, J. (eds.): Handbook of Tableaux Methods. Kluwer, Dordrecht (1999)

    Google Scholar 

  2. Allen, J.F.: Maintaining knowledge about temporal intervals. Commun. ACM 26, 832–843 (1983)

    Article  Google Scholar 

  3. Allen, J.F.: Towards a general theory of action and time. Artif. Intell. 23(1), 123–154 (1984)

    Article  Google Scholar 

  4. Allen, J.F., Ferguson, G.: Actions and events in interval temporal logic. J. Log. Comput. 4, 531–579 (1994)

    Article  MathSciNet  Google Scholar 

  5. Allen, J.F., Kautz, H.A., Pelavin, R.N., Tenenberg, J.D.: Reasoning about Plans. Morgan Kaufmann, San Francisco, CA (1999)

    MATH  Google Scholar 

  6. Badaloni, S., Giacomin, M.: A fuzzy extension of Allen’s interval algebra. LNAI, vol. 1792, pp. 155–165. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  7. Ohlbach, H.J.: Relations between fuzzy time intervals. In Proceedings 11th International Symposium on Temporal Representation and Reasoning, pp. 44–51. Tatihou, France (2004)

    Google Scholar 

  8. Schockaert, S., De Cock, M., Kerre, E.E.: Fuzzifying Allen’s temporal interval relations. IEEE Trans. Fuzzy Syst. 16(2), 517–533 (2008)

    Article  Google Scholar 

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Acknowledgment

This work was supported by Russian Foundation for Basic Research (project 17-07-01332).

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Correspondence to Gerald S. Plesniewicz .

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Plesniewicz, G.S. (2019). Query Answering over Some Extensions of Allen’s Interval Logic. In: Abraham, A., Kovalev, S., Tarassov, V., Snasel, V., Sukhanov, A. (eds) Proceedings of the Third International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’18). IITI'18 2018. Advances in Intelligent Systems and Computing, vol 874. Springer, Cham. https://doi.org/10.1007/978-3-030-01818-4_36

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