Summary
We have already proposed a paraconsistent annotated logic program called EVALPSN. In EVALPSN, an annotation called an extended vector annotation is attached to each literal. In order to deal with before-after relation between two time intervals, we introduce a new interpretation for extended vector annotations in EVALPSN, which is named Before-after(bf) EVALPSN.
In this chapter, we introduce the bf-EVALPSN and its application to real-time process order control and its safety verification with simple examples. First, the background and overview of EVALPSN are introduced, and paraconsistent annotated logic as the formal background of EVALPSN and EVALPSN itself are recapitulated with simple examples. Then, after bf-EVALPSN is formally defined, how to implement and apply bf-EVALPSN to real-time intelligent process order control and its safety verification with simple practical examples. Last, unique and useful features of bf-EVALPSN are introduced, and conclusions and remarks are provided.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Allen, J.F.: Towards a General Theory of Action and Time. Artificial Intelligence 23, 123–154 (1984)
Allen, J.F., Ferguson, G.: Actions and Events in Interval Temporal Logic. J. Logic and Computation 4, 531–579 (1994)
Apt, K.R., Blair, H.A., Walker, A.: Towards a theory of declarative knowledge. In: Minker, J. (ed.) Foundation of Deductive Database and Logic Programs, pp. 89–148. Morgan Kaufmann, San Francisco (1989)
Belnap, N.D.: A useful four valued logic. In: Dunn, M., Epstein, G. (eds.) Modern Uses of Multiple-Valued Logic, pp. 8–37. D.Reidel Publishing, Netherlands (1977)
Billington, D.: Defeasible logic is stable. J. Logic and Computation 3, 379–400 (1993)
Billington, D.: Conflicting literals and defeasible logic. In: Nayak, A., Pagnucco, M. (eds.) Proc. 2nd Australian Workshop Commonsense Reasoning, December 1, pp. 1–15. Australian Artificial Intelligence Institute, Australia (1997)
Blair, H.A., Subrahmanian, V.S.: Paraconsistent logic programming. Theoretical Computer Science 68, 135–154 (1989)
da Costa, N.C.A., Subrahmanian, V.S., Vago, C.: The paraconsistent logics P\({\cal T}\). Zeitschrift für Mathematische Logic und Grundlangen der Mathematik 37, 139–148 (1989)
Dressler, O.: An extended basic ATMS. In: Reinfrank, M., Ginsberg, M.L., de Kleer, J., Sandewall, E., et al. (eds.) Non-Monotonic Reasoning 1988. LNCS, vol. 346, pp. 143–163. Springer, Heidelberg (1988)
Fitting, M.: Bilattice and the semantics of logic programming. J. Logic Programming 11, 91–116 (1991)
Gelder, A.V., Ross, K.A., Schlipf, J.S.: The well-founded semantics for general logic programs. J. ACM 38, 620–650 (1991)
Jaskowski, S.: Propositional calculus for contradictory deductive system (English translation of the original Polish paper). Studia Logica 24, 143–157 (1948)
Kifer, M., Subrahmanian, V.S.: Theory of generalized annotated logic programming and its applications. J. Logic Programming 12, 335–368 (1992)
Lloyd, J.W.: Foundations of Logic Programming, 2nd edn. Springer, Berlin (1987)
Moore, R.: Semantical considerations on non-monotonic logic. Artificial Intelligence 25, 75–94 (1985)
Morley, J. M.: Safety Assurance in Interlocking Design. Ph.D Thesis, School of Informatics, University of Edinburgh (1996)
Nakamatsu, K., Suzuki, A.: Annotated semantics for default reasoning. In: Dai, R. (ed.) Proc. 3rd Pacific Rim Intl. Conf. Artificial Intelligence(PRICAI 1994), Beijin, China, August 15–18, pp. 180–186. International Academic Publishers, China (1994)
Nakamatsu, K., Suzuki, A.: A nonmonotonic ATMS based on annotated logic programs. In: Wobcke, W., Pagnucco, M., Zhang, C., et al. (eds.) Agents and Multi-Agent Systems Formalisms, Methodologies, and Applications. LNCS (LNAI), vol. 1441, pp. 79–93. Springer, Heidelberg (1998)
Nakamatsu, K., Abe, J.M.: Reasonings based on vector annotated logic programs. In: Mohammadian, M. (ed.) Computational Intelligence for Modelling, Control & Automation (CIMCA 1999). Concurrent Systems Engineering Series, vol. 55, pp. 396–403. IOS Press, Netherlands (1999)
Nakamatsu, K., Abe, J.M., Suzuki, A.: Defeasible reasoning between conflicting agents based on VALPSN. In: Tessier, C., Chaudron, L. (eds.) Proc. AAAI Workshop Agents’ Conflicts, Orland, FL, July 18, pp. 20–27. AAAI Press, Menlo Park (1999)
Nakamatsu, K., Abe, J.M., Suzuki, A.: Defeasible reasoning based on VALPSN and its application. In: Nayak, A., Pagnucco, M. (eds.) Proc. The Third Australian Commonsense Reasoning Workshop, Sydney, Australia, December 7, pp. 114–130. University of Newcastle, Sydney (1999)
Nakamatsu, K.: On the relation between vector annotated logic programs and defeasible theories. Logic and Logical Philosophy 8, 181–205 (2000)
Nakamatsu, K., Abe, J.M., Suzuki, A.: A defeasible deontic reasoning system based on annotated logic programming. In: Dubois, D.M. (ed.) Proc. 4th Intl. Conf. Computing Anticipatory Systems(CASYS 2000), Liege, Belgium, August 7–12. AIP Conference Proceedings, vol. 573, pp. 609–620. American Institute of Physics, New York (2000)
Nakamatsu, K., Abe, J.M., Suzuki, A.: Annotated semantics for defeasible deontic reasoning. In: Ziarko, W.P., Yao, Y. (eds.) RSCTC 2000. LNCS (LNAI), vol. 2005, pp. 432–440. Springer, Heidelberg (2001)
Nakamatsu, K., Abe, J.M., Suzuki, A.: Extended vector annotated logic program and its application to robot action control and safety verification. In: Abraham, A., et al. (eds.) Hybrid Information Systems. Advances in Soft Computing Series, pp. 665–680. Physica-Verlag, Heidelberg (2002)
Nakamatsu, K., Suito, H., Abe, J.M., Suzuki, A.: Paraconsistent logic program based safety verification for air traffic control. In: El Kamel, A., et al. (eds.) Proc. IEEE Intl. Conf. System, Man and Cybernetics 2002 (SMC 2002), Hammamet, Tunisia, October 6–9, IEEE SMC, Los Alamitos (2002)
Nakamatsu, K., Abe, J.M., Suzuki, A.: A railway interlocking safety verification system based on abductive paraconsistent logic programming. In: Abraham, A., et al. (eds.) Soft Computing Systems(HIS 2002). Frontiers in Artificial Intelligence and Applications, vol. 87, pp. 775–784. IOS Press, Netherlands (2002)
Nakamatsu, K., Abe, J.M., Suzuki, A.: Defeasible deontic robot control based on extended vector annotated logic programming. In: Dubois, D.M. (ed.) Proc. 5th Intl. Conf. Computing Anticipatory Systems(CASYS 2001), Liege, Belgium, August 13–18. AIP Conference Proceedings, vol. 627, pp. 490–500. American Institute of Physics, New York (2002)
Nakamatsu, K., Mita, Y., Shibata, T.: Defeasible deontic action control based on paraconsistent logic program and its hardware application. In: Mohammadian, M. (ed.) Proc. Intl. Conf. Computational Intelligence for Modelling Control and Automation 2003 (CIMCA 2003), February 12–14, IOS Press, Netherlands (2003)
Nakamatsu, K., Seno, T., Abe, J.M., Suzuki, A.: Intelligent real-time traffic signal control based on a paraconsistent logic program EVALPSN. In: Wang, G., Liu, Q., Yao, Y., Skowron, A., et al. (eds.) RSFDGrC 2003. LNCS (LNAI), vol. 2639, pp. 719–723. Springer, Heidelberg (2003)
Nakamatsu, K., Komaba, H., Suzuki, A.: Defeasible deontic control for discrete events based on EVALPSN. In: Tsumoto, S., Słowiński, R., Komorowski, J., Grzymała-Busse, J.W., et al. (eds.) RSCTC 2004. LNCS (LNAI), vol. 3066, pp. 310–315. Springer, Heidelberg (2004)
Nakamatsu, K., Ishikawa, R., Suzuki, A.: A paraconsistent based control for a discrete event cat and mouse. In: Negoita, M.G., Howlett, R.J., Jain, L.C., et al. (eds.) KES 2004. LNCS (LNAI), vol. 3214, pp. 954–960. Springer, Heidelberg (2004)
Nakamatsu, K., Chung, S.-L., Komaba, H., Suzuki, A.: A discrete event control based on EVALPSN stable model. In: Ślȩzak, D., Wang, G., Szczuka, M.S., Düntsch, I., Yao, Y., et al. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3641, pp. 671–681. Springer, Heidelberg (2005)
Nakamatsu, K., Abe, J.M., Akama, S.: An intelligent safety verification based on a paraconsistent logic program. In: Khosla, R., Howlett, R.J., Jain, L.C., et al. (eds.) KES 2005. LNCS (LNAI), vol. 3682, pp. 708–715. Springer, Heidelberg (2005)
Nakamatsu, K., Kawasumi, K., Suzuki, A.: Intelligent verification for pipeline based on EVALPSN. In: Nakamatsu, K., Abe, J.M. (eds.) Advances in Logic Based Intelligent Systems. Frontiers in Artificial Intelligence and Applications, vol. 132, pp. 63–70. IOS Press, Netherlands (2005)
Nakamatsu, K., Suzuki, A.: Autoepistemic theory and paraconsistent logic program. In: Nakamatsu, K., Abe, J.M. (eds.) Advances in Logic Based Intelligent Systems. Frontiers in Artificial Intelligence and Applications, vol. 132, pp. 177–184. IOS Press, Netherlands (2005)
Nakamatsu, K., Suzuki, A.: Annotated semantics for non-monotonic reasonings in artificial intelligence – I, II, III, IV. In: Nakamatsu, K., Abe, J.M. (eds.) Advances in Logic Based Intelligent Systems. Frontiers in Artificial Intelligence and Applications, vol. 132, pp. 185–215. IOS Press, Netherlands (2005)
Nakamatsu, K.: Pipeline valve control based on EVALPSN safety verification. J. Advanced Computational Intelligence and Intelligent Informatics 10, 647–656 (2006)
Nakamatsu, K., Mita, Y., Shibata, T.: An intelligent action control system based on extended vector annotated logic program and its hardware implementation. J. Intelligent Automation and Soft Computing 13, 289–304 (2007)
Nakamatsu, K.: Paraconsistent Annotated Logic Program EVALPSN and its Application. In: Fulcher, J., Jain, C.L. (eds.) Computational Intelligence: A Compendium. Studies in Computational Intelligence, vol. 115, pp. 233–306. Springer, Germany (2008)
Nute, D.: Defeasible reasoning. In: Stohr, E.A., et al. (eds.) Proc. 20th Hawaii Intl. Conf. System Science (HICSS 1987), Kailua-Kona, Hawaii, January 6–9, pp. 470–477. University of Hawaii, Hawaii (1987)
Nute, D.: Basic defeasible logics. In: del Cerro, L.F., Penttonen, M. (eds.) Intensional Logics for Programming, pp. 125–154. Oxford University Press, Oxford (1992)
Nute, D.: Defeasible logic. In: Gabbay, D.M., et al. (eds.) Handbook of Logic in Artificial Intelligence and Logic Programming, vol. 3, pp. 353–396. Oxford University Press, Oxford (1994)
Nute, D.: Apparent obligatory. In: Nute, D. (ed.) Defeasible Deontic Logic. Synthese Library, vol. 263, pp. 287–316. Kluwer Academic Publisher, Netherlands (1997)
Przymusinski, T.C.: On the declarative semantics of deductive databases and logic programs. In: Minker, J. (ed.) Foundation of Deductive Database and Logic Programs, pp. 193–216. Morgan Kaufmann, New York (1988)
Reiter, R.: A logic for default reasoning. Artificial Intelligence 13, 81–123 (1980)
Shepherdson, J.C.: Negation as failure, completion and stratification. In: Gabbay, D.M., et al. (eds.) Handbook of Logic in Artificial Intelligence and Logic Programming, vol. 5, pp. 356–419. Oxford University Press, Oxford (1998)
Subrahmanian, V.S.: Amalgamating knowledge bases. ACM Trans. Database Systems 19, 291–331 (1994)
Subrahmanian, V.S.: On the semantics of qualitative logic programs. In: Proc. the 1987 Symp. Logic Programming (SLP 1987), August 31–September 4, pp. 173–182. IEEE Computer Society Press, San Francisco (1987)
Visser, A.: Four valued semantics and the liar. J. Philosophical Logic 13, 99–112 (1987)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Nakamatsu, K. (2009). Paraconsistent Annotated Logic Program Before-after EVALPSN and Its Application. In: Hassanien, AE., Abraham, A., Herrera, F. (eds) Foundations of Computational Intelligence Volume 2. Studies in Computational Intelligence, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01533-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-01533-5_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01532-8
Online ISBN: 978-3-642-01533-5
eBook Packages: EngineeringEngineering (R0)