Abstract

OM pairs are our proposed framework for the formalization of metareasoning. OM pairs allow us to generate deductively the object theory and/or the meta theory. 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 the relation between the models of the meta theory and the object theory; and use these results to refine the previous analysis. Key words: Foundations of meta reasoning, reflection principles, provability and truth, model theory Submitted to The Journal of Logic and Computation 1 OM pairs A lot of work on metatheoretic reasoning can be found in the literature. As far as we know, all of this work is aimed at defining and studying the properties of specific metatheories. Nobody has ever developed a theory which would allow for a uniform study an...

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