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A Theory and its Metatheory in $FS_0$

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Matthews,  Seán
Programming Logics, MPI for Informatics, Max Planck Society;

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Citation

Matthews, S. (1994). A Theory and its Metatheory in $FS_0$. In D. M. Gabbay (Ed.), What is a logical system? (pp. 329-354). Oxford, UK: Oxford University Press.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-AD5F-7
Abstract
Feferman has proposed {$FS_0$}, a theory of finitary inductive systems, as a framework theory suitable for various purposes, including practically reasoning both in and about encoded theories. I discuss here a formalisation of a sequent calculus presentation of classical propositional logic in {$FS_0$} and how this can be used for work in both the theory and the meta-theory. I illustrate the latter with a discussion of a proof of Gentzen's Hauptsatz.