The semantics of nominal logic programs

  • Authors:
  • James Cheney

  • Affiliations:
  • University of Edinburgh

  • Venue:
  • ICLP'06 Proceedings of the 22nd international conference on Logic Programming
  • Year:
  • 2006

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Abstract

Nominal logic programming is a form of logic programming with “concrete” names and binding, based on nominal logic, a theory of α-equivalence founded on swapping and freshness constraints. Previous papers have employed diverse characterizations of the semantics of nominal logic programs, including operational, denotational, and proof-theoretic characterizations; however, the formal properties and relationships among them have not been fully investigated. In this paper we give a uniform and improved presentation of these characterizations and prove appropriate soundness and completeness results. We also give some applications of these results.