Abstract
When knowledge is physically distributed, information and knowledge of individual agents may not be collected to one agent because they should not be known to others for security and privacy reasons. We thus assume the situation that individual agents cooperate with each other to find useful information from a distributed system to which they belong, without supposing any master or mediate agent who collects all necessary information from the agents. Then we propose two complete algorithms for distributed consequence finding. The first one extends a technique of theorem proving in partition-based knowledge bases. The second one is a more cooperative method than the first one. We compare these two methods and other related approaches in the literature.
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References
Adjiman, P., Chatalic, P., Goasdoué, F., Rousset, M.-C., Simon, L.: Scalability study of peer-to-peer consequence finding. In: Proc. IJCAI 2005, pp. 351–356 (2005)
Adjiman, P., Chatalic, P., Goasdoué, F., Rousset, M.-C., Simon, L.: Distributed reasoning in a peer-to-peer setting: Application to the semantic web. J. Artif. Intell. Res. 25, 269–314 (2006)
Amir, A., McIlraith, S.: Partition-based logical reasoning for first-order and propositional theories. Artif. Intell. 162, 49–88 (2005)
Bourgne, G., Maudet, N., Inoue, K.: Abduction of distributed theories through local interactions. In: Proc. ECAI 2010 (2010)
Ciampolini, A., Lamma, E., Mello, P., Toni, F., Torroni, P.: Cooperation and competition in ALIAS: A logic framework for agents that negotiate. Ann. Math. Artif. Intell. 37(1-2), 65–91 (2003)
Craig, W.: Linear reasoning: A new form of the Herbrand-Gentzen theorem. J. Symbolic Logic 22, 250–268 (1957)
Dechter, R., Pearl, J.: Tree clustering for constraint networks. Artif. Intell. 38, 353–366 (1989)
del Val, A.: A new method for consequence finding and compilation in restricted languages. In: Proc. AAAI 1999, pp. 259–264 (1999)
Fisher, M.: Characterizing simple negotiation as distributed agent-based theorem-proving—a preliminary report. In: Proc. 4th Int’l Conf. on Multi-Agent Systems, pp. 127–134 (2000)
Greco, G.: Solving abduction by computing joint explanations. Ann. Math. Artif. Intell. 50(1-2), 143–194 (2007)
Hirayama, K., Yokoo, M.: The distributed breakout algorithms. Artif. Intell. 161, 89–115 (2005)
Inoue, K.: Linear resolution for consequence finding. Artif. Intell. 56, 301–353 (1992)
Inoue, K.: Induction as consequence finding. Machine Learning 55, 109–135 (2004)
Inoue, K., Iwanuma, K.: Speculative computation through consequence-finding in multi-agent environments. Ann. Math. Artif. Intell. 42(1-3), 255–291 (2004)
Inoue, K., Iwanuma, K., Nabeshima, H.: Consequence finding and computing answers with defaults. J. Intell. Inform. Systems 26, 41–58 (2006)
Inoue, K., Sato, T., Ishihata, M., Kameya, Y., Nabeshima, H.: Evaluating abductive hypotheses using an EM algorithm on BDDs. In: Proc. IJCAI 2009, pp. 810–815 (2009)
Iwanuma, K., Inoue, K.: Minimal Answer Computation and SOL. In: Flesca, S., Greco, S., Leone, N., Ianni, G. (eds.) JELIA 2002. LNCS (LNAI), vol. 2424, pp. 245–257. Springer, Heidelberg (2002)
Lee, C.T.: A completeness theorem and computer program for finding theorems derivable from given axioms, Ph.D. thesis, Department of Electrical Engineering and Computer Science, University of California, Berkeley, CA (1967)
Ma, J., Russo, A., Broda, K., Clark, K.: DARE: A system for distributed abductive reasoning. Autonomous Agents and Multi-Agent Systems 16(3), 271–297 (2008)
Marquis, P.: Consequence finding algorithms. In: Handbook for Defeasible Reasoning and Uncertain Management Systems, vol. 5, pp. 41–145. Kluwer (2000)
Nabeshima, H., Iwanuma, K., Inoue, K.: SOLAR: A Consequence Finding System for Advanced Reasoning. In: Cialdea Mayer, M., Pirri, F. (eds.) TABLEAUX 2003. LNCS, vol. 2796, pp. 257–263. Springer, Heidelberg (2003)
Nabeshima, H., Iwanuma, K., Inoue, K., Ray, O.: SOLAR: An automated deduction system for consequence finding. AI Communications 23(2-3), 183–203 (2010)
Nienhuys-Cheng, S.-H., de Wolf, R.: Foundations of Inductive Logic Programming. LNCS, vol. 1228. Springer, Heidelberg (1997)
Slagle, J.R.: Interpolation theorems for resolution in lower predicate calculus. J. ACM 17(3), 535–542 (1970)
Yokoo, M., Durfee, E.H., Ishida, T., Kuwabara, K.: The distributed constraint satisfaction problem: Formalization and algorithms. IEEE Trans. Know. & Data Eng. 10(5), 673–685 (1998)
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Inoue, K., Bourgne, G., Okamoto, T. (2013). Distributed Consequence Finding: Partition-Based and Cooperative Approaches. In: Filipe, J., Fred, A. (eds) Agents and Artificial Intelligence. ICAART 2011. Communications in Computer and Information Science, vol 271. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29966-7_28
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DOI: https://doi.org/10.1007/978-3-642-29966-7_28
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