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A First Order Logic for Logic Programming

In: Mathematical Logic and Its Applications

Author

Listed:
  • J. J. Moreno Navarro

    (Universidad Politécnica de Madrid, Departamento de Algoritmica Facultad de Informática)

  • M. Rodriguez Artalejo

    (Universidad Politécnica de Madrid, Departamento de Algoritmica Facultad de Informática)

Abstract

Clark and Tärnlud4 have proposed a methodology for the specification, desing and verification of logic programs in the framework of first order logic. Their main idea is to derive the correctness of a logic program from its own clauses and suitable induction axioma on the data. This approach has been also advocated by Cartwright3 for the case of recursive, functional programs. He has contributed some theoretical results about the semantics of programs in nonstandard structures, using the notion of least definable fixpoint of the operator naturally associated to a given recursive program: This idea is also implicit in the independent work of Andréka, Németi and Sain1 and Hajék7 about nonstandard dynamic logic for flowchart-like programs and regular programs; see also Sain10.

Suggested Citation

  • J. J. Moreno Navarro & M. Rodriguez Artalejo, 1987. "A First Order Logic for Logic Programming," Springer Books, in: Dimiter G. Skordev (ed.), Mathematical Logic and Its Applications, pages 303-314, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-0897-3_22
    DOI: 10.1007/978-1-4613-0897-3_22
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