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Hierarchical meta-logics: Intuitions, proof theory and semantics

  • Fausto Giunchiglia
  • Luciano Serafini
  • Alex Simpson
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 649)

Abstract

The goal of this paper is to provide a possible foundation for meta-reasoning in the fields of artificial intelligence and computer science. We first investigate the relationship that we want to hold between meta-theory and object-theory. We then outline a methodology in which reflection rules serve to deductively generate a meta-theory from its object theory. Finally, we apply this methodology and define a hierarchical meta-logic, namely a formal system generating an entire meta-hierarchy, which is sound and complete with respect to a semantics formalising the desired meta/object relationship.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Fausto Giunchiglia
    • 1
    • 2
  • Luciano Serafini
    • 1
  • Alex Simpson
    • 3
  1. 1.IRSTTrentoItaly
  2. 2.DIST, University of GenoaGenovaItaly
  3. 3.LFCS - Dept. of CSUniversity of EdinburghScotland

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