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GASP: Answer Set Programming with Lazy Grounding

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Języki publikacji
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Abstrakty
EN
In recent years, Answer Set Programming has gained popularity as a viable paradigm for applications in knowledge representation and reasoning. This paper presents a novel methodology to compute answer sets of an answer set program. The proposed methodology maintains a bottom-up approach to the computation of answer sets (as in existing systems), but it makes use of a novel structuring of the computation, that originates from the non-ground version of the program. Grounding is lazily performed during the computation of the answer sets. The implementation has been realized using Constraint Logic Programming over finite domains.
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Rocznik
Strony
297--322
Opis fizyczny
Bibliogr. 25 poz., tab., wykr.
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Bibliografia
  • [1] Babovich, Y., Maratea, M.: Cmodels-2: SAT-based Answer Sets Solver Enhanced to Non-tight Programs, Logic Programming and Non-Monotonic Reasoning, LNCS 2923, 2004, 346-350.
  • [2] Baral, C.: Knowledge Representation, Reasoning, and Declarative Problem Solving, Cambridge University Press, 2003.
  • [3] Bonatti, P., Pontelli, E., Son, T. Credulous Resolution for ASP, AAAI, 2008, 418-423.
  • [4] Brooks, D., Erdem, E., Erdogan, S., Minett, J., Ringe, D.: Inferring Phylogenetic Trees Using Answer Set Programming, Journal of Automated Reasoning, 39(4), 2007, 471-511.
  • [5] Codognet, P., Diaz, D.: A Minimal Extension of the WAM for clp(fd), International Conference on Logic Programming, pp. 774-790,MIT Press, 1993.
  • [6] Dal Palu, A., Dovier, A., Pontelli, E., Rossi, G.: GASP: Answer Set Programming with Lazy Grounding, CILC08: 23-esimo Convegno Italiano di Logica Computazionale, Perugia, Italy, July 10-12th, 2008, and LaSh08: International Workshop on Logic and Search, Nov. 6-7th 2008, Leuven, Belgium.
  • [7] Dovier, A., Formisano, A., Pontelli, E.: A Comparison of CLP(FD) and ASP Solutions to NP-Complete Problems, International Conference on Logic Programming, LNCS 3668, Springer Verlag, pp. 67-82, 2005.
  • [8] Dovier, A., Formisano, A., Pontelli, E.: Multivalued Action Languages with Constraints in CLP(FD), International Conference on Logic Programming, LNCS 4670, Springer Verlag, pp. 255-270, 2007.
  • [9] Gebser, M., Kaufmann, B., Neumann, A., Schaub, T.: CLASP: a Conflict-driven Answer Set Solver, Logic Programming and Non-Monotonic Reasoning, Springer Verlag, 2007, 260-265.
  • [10] Gelfond, M., Lifschitz, V.: The Stable Model Semantics for Logic Programs, International Symposium on Logic Programming,MIT Press, 1988, 1070-1080.
  • [11] Hoffmann, J., Nebel, B.: The FF Planning System: Fast Plan Generation Through Heuristic Search, Journal of Artificial Intelligence Research, 14, 2001, 253-302.
  • [12] Lefèvre, C., Nicolas, P.: Integrating Grounding in the Search Process for Answer Set Computing, Workshop on Answer Set Programming and Other Computing Paradigms, Udine, Italy, Dec. 13, 2008.
  • [13] Leone, N., Pfeifer, G., Faber, W., Eiter, T., Perri, S., Scarcello, F.: The DLV System for Knowledge Representation and Reasoning, ACM Transactions on Computational Logic, 7(3), 2006, 499-562.
  • [14] Lifschitz, V.: Answer Set Planning. Logic Programming and Non-monotonic Reasoning, LNCS 1730, Springer Verlag, 1999, 373-374.
  • [15] Lin, F., Zhao, Y.: ASSAT: Computing answer sets of a logic program by SAT solvers, Artificial Intelligence, 157(1-2), 2004, 115-137.
  • [16] Liu, L., Pontelli, E., Tran, S., Truszczyński, M.: Logic Programs with Abstract Constraint Atoms: the Role of Computations, International Conference on Logic Programming, Springer Verlag, 2007, 286-301.
  • [17] Marek, V.W., Truszczyński,M.: Stable Models and an Alternative Logic Programming Paradigm, The Logic Programming Paradigm, Springer Verlag, 1999.
  • [18] Mellarkod, V. S., Gelfond,M., Zhang, Y.: Integrating answer set programming and constraint logic programming. Ann. Math. Artif. Intell. (AMAI) 53(1-4):251-287, 2008.
  • [19] Niemela, I.: Logic Programs with Stable Model Semantics as a Constraint Programming Paradigm, Annals of Mathematics and AI, 25(3-4), 1999, 241-273.
  • [20] Niemela, I., Simons, P.: Smodels - An Implementation of the Stable Model andWell-Founded Semantics for Normal LP, Logic Programming and Non-monotonic Reasoning, Springer Verlag, 1997, 421-430.
  • [21] P. Simons. Extending and Implementing the Stable Model Semantics. Ph.D. Thesis, Helsinki University of Technology, 2000.
  • [22] Son, T., Pontelli,E.: Set Constraints in Logic Programming, Logic Programming and Non-Monotonic Reasoning, LNCS 2923, Springer Verlag, 2004, 167-179.
  • [23] Son, T., Pontelli, E.: Planning for Biochemical Pathways: a Case Study of Answer Set Planning in Large Planning Problem Instances, First International Workshop on Software Engineering for Answer Set Programming, 2007, 116-130.
  • [24] Van Gelder, A., Ross, K. A., Schlipf, J. S.: The Well-Founded Semantics for General Logic Programs, Journal of the ACM, 38(3), 1991, 620-650.
  • [25] Zukowski, U., Freitag, B., Brass, S.: Improving the Alternating Fixpoint: The Transformation Approach, Logic Programming and Nonmonotonic Reasoning, LNCS 1265, Springer-Verlag, 1997, 4-59.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0008-0053
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