Abstract
In this paper, we apply Fangzhen Lin’s methodology of computer aided theorem discovery to discover classes of strongly equivalent logic programs with negation as failure in the head. Specifically, with the help of computers, we discover exact conditions that capture the strong equivalence between small sets of rules, which have potential applications in the theory and practice of logic programming. In the experiment, we extend the previous approach to semi-automatically generate plausible conjectures. We also show that it is possible to divide the original problem in simpler cases and combine their solutions in order to obtain the solution of the original problem.
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References
Inoue, K., Sakama, C.: Negation as failure in the head. The Journal of Logic Programming 35(1), 39–78 (1998)
Lin, F.: Finitely-verifiable classes of sentences. In: Proceedings of the 8th International Symposium on Logical Formalizations of Commonsense Reasoning (Commonsense 2007), pp. 89–94 (2007)
Lin, F., Chen, Y.: Discovering classes of strongly equivalent logic programs. In: Proceedings of the 19th International Joint Conference on Artificial Intelligence (IJCAI-2005), pp. 516–521 (2005)
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Ji, J. (2015). Discovering Classes of Strongly Equivalent Logic Programs with Negation as Failure in the Head. In: Zhang, S., Wirsing, M., Zhang, Z. (eds) Knowledge Science, Engineering and Management. KSEM 2015. Lecture Notes in Computer Science(), vol 9403. Springer, Cham. https://doi.org/10.1007/978-3-319-25159-2_13
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DOI: https://doi.org/10.1007/978-3-319-25159-2_13
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Online ISBN: 978-3-319-25159-2
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