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Aggregates in Answer Set Optimization

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Logic Programming and Nonmonotonic Reasoning (LPNMR 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6645))

Abstract

Answer set optimization (ASO) is a flexible framework for qualitative optimization in answer set programming (ASP). The approach uses a generating program to construct the space of problem solutions, and a preference program to assess the quality of solutions. In this short paper we generalize the approach by introducing aggregates in preference programs. This allows the user to express preferences which are based on minimization or maximization of some numerical criteria. We introduce the new language of preference programs, define its semantics and give an example illustrating its use.

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References

  1. Brewka, G., Niemelä, I., Truszczynski, M.: Answer set optimization. In: Proc. IJCAI, pp. 867–872 (2003)

    Google Scholar 

  2. Brewka, G.: Logic programming with ordered disjunction. In: Proc. AAAI, pp. 100-105 (2002)

    Google Scholar 

  3. Faber, W., Leone, N., Pfeifer, G.: Semantics and complexity of recursive aggregates in answer set programming. Artificial Intelligence 175(1), 278–298 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  4. Faber, W., Leone, N., Pfeifer, G.: Recursive aggregates in disjunctive logic programs: Semantics and complexity. In: Alferes, J.J., Leite, J. (eds.) JELIA 2004. LNCS (LNAI), vol. 3229, pp. 200–212. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Foo, N., Meyer, T., Brewka, G.: LPOD answer sets and nash equilibria. In: Maher, M.J. (ed.) ASIAN 2004. LNCS, vol. 3321, pp. 343–351. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  6. Pelov, N., Denecker, M., Bruynooghe, M.: Well-founded and stable semantics of logic programs with aggregates. TPLP 7, 355–375 (2007)

    MathSciNet  MATH  Google Scholar 

  7. Sakama, C., Inoue, K.: Prioritized logic programming and its application to common-sense reasoning. Artificial Intelligence 123(1-2), 185–222 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  8. Schaub, T., Wang, K.: A comparative study of logic programming with preference. In: Proc. IJCAI, pp. 597-602 (2001)

    Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Saad, E., Brewka, G. (2011). Aggregates in Answer Set Optimization. In: Delgrande, J.P., Faber, W. (eds) Logic Programming and Nonmonotonic Reasoning. LPNMR 2011. Lecture Notes in Computer Science(), vol 6645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20895-9_21

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  • DOI: https://doi.org/10.1007/978-3-642-20895-9_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20894-2

  • Online ISBN: 978-3-642-20895-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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