Modal and Meta Languages: Consistency and Expressiveness

Luigia Carlucci Aiello, Marta Cialdea, Daniele Nardi, and Marco Schaerf

Meta-logics and Logic Programming

In knowledge representation several formalisms for reasoning about knowledge in a multi agent scenario have been proposed. More specifically, we can identify a family of languages based on the use of a modal operator and another one based on the use of first-order logic enriched with meta-level capabilities. In this paper we consider these two approaches by addressing the issues of consistency that arise from self-referenciality, their expressiveness and the methods for translating classical modal systems into meta-level first-order formalisms.


@incollection{aiel-etal-95,
  title =        "Modal and Meta Languages:  Consistency and Expressiveness",
  year =          "1995",
  author =       "Carlucci Aiello, Luigia and Cialdea, Marta and Nardi, Daniele
and Schaerf, Marco",
  editor =       "Apt, K. and Turini, F.",
  booktitle =     "Meta-logics and Logic Programming",
  pages =        "243-265",
  publisher =     "MIT Press",
}