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.

Hierarchical meta-logics: Intuitions, proof theory and semantics

Giunchiglia, Fausto;
1992-01-01

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.
1992
Meta-Programming in Logic: Proceedings
Berlin
Springer
9783540562825
Giunchiglia, Fausto; L., Serafini; A. K., Simpson
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/38416
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