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Journal of Logic and Computation

Volume 12, Issue 3, June 2002: pp. 345-370

A Foundation for Metareasoning Part II: The Model Theory

Giovanni Criscuolo1, Fausto Giunchiglia2 and Luciano Serafini3

1Dipartimento di Scienze Fisiche, University of Naples, 80125 Napoli, Italy. E-mail: vanni@na.infn.it
2Dipartimento di Informatica e Studi Aziendali, University of Trento, 38100 Trento, Italy, and ITC-IRST, Centro per la Ricerca Scientifica e Tecnologica, 38050 Trento, Italy. E-mail: fausto@itc.it
3ITC-IRST, Centro per la Ricerca Scientifica e Tecnologica, 38050 Trento, Italy. E-mail: serafini@itc.it

OM pairs are our proposed framework for the formalization of metareasoning. OM pairs allow us to generate deductively the object theory and/or the metatheory. This is done by imposing, via appropriate reflection rules, the relation we want to hold between the object theory and the metatheory. In a previous paper we have studied the proof theoretic properties of OM pairs. In this paper we study their model theoretic properties, in particular we study the relation between the models of the metatheory and the object theory; and how to use these results to refine the previous analysis.

Keywords: Metatheory; reflection; contextual reasoning

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