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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© 1992 Springer-Verlag Berlin Heidelberg
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Giunchiglia, F., Serafini, L., Simpson, A. (1992). Hierarchical meta-logics: Intuitions, proof theory and semantics. In: Pettorossi, A. (eds) Meta-Programming in Logic. META 1992. Lecture Notes in Computer Science, vol 649. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56282-6_16
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DOI: https://doi.org/10.1007/3-540-56282-6_16
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