Nominal logic programming

Abstract

Nominal logic is an extension of first-order logic which provides a simple foundation for formalizing and reasoning about abstract syntax modulo consistent renaming of bound names (that is, α-equivalence). This article investigates logic programming based on nominal logic. We describe some typical nominal logic programs, and develop the model-theoretic, proof-theoretic, and operational semantics of such programs. Besides being of interest for ensuring the correct behavior of implementations, these results provide a rigorous foundation for techniques for analysis and reasoning about nominal logic programs, as we illustrate via examples.

Document Details

Document Type
Pub Defense Publication
Publication Date
Aug 01, 2008
Source ID
10.1145/1387673.1387675

Entities

People

  • Christian Urban
  • James Cheney

Organizations

  • Air Force Office of Scientific Research
  • Engineering and Physical Sciences Research Council
  • Office of Naval Research
  • Technische Universität Ilmenau
  • University of Edinburgh

Tags

Readers

  • Computational Linguistics
  • Mathematical Modeling and Probability Theory.