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Introspecting Preferences in Answer Set Programming

Author Zhizheng Zhang

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ACM Subject Classification
  • Computing methodologies → Logic programming and answer set programming
Keywords
  • Answer Set
  • Preference
  • Introspection

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Abstract

This paper develops a logic programming language, ASP^EP, that extends answer set programming language with a new epistemic operator >~_x where x in {#,supseteq}. The operator are used between two literals in rules bodies, and thus allows for the representation of introspections of preferences in the presence of multiple belief sets: G >~_# F expresses that G is preferred to F by the cardinality of the sets, and G >~_supseteq F expresses G is preferred to F by the set-theoretic inclusion. We define the semantics of ASP^EP, explore the relation to the languages of strong introspections, and study the applications of ASP^EP by modeling the Monty Hall problem and the principle of majority.

Cite As Get BibTex

Zhizheng Zhang. Introspecting Preferences in Answer Set Programming. In Technical Communications of the 34th International Conference on Logic Programming (ICLP 2018). Open Access Series in Informatics (OASIcs), Volume 64, pp. 3:1-3:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/OASIcs.ICLP.2018.3

Author Details

Zhizheng Zhang
  • School of Computer Science and Engineering, Southeast University, Nanjing, China

Funding

  • Zhang, Zhizheng: This work is supported by the National Key Research and Development Plan of China (No. 2017YFB1002801).

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