A Theory and its Metatheory in $FS_0$

Matthews, Seán

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A Theory and its Metatheory in $FS_0$

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AD5F-7 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AD60-1

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Creators:
Matthews, Seán¹, Author

Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045

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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.

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Language(s): eng - English

Dates: Modified: 2010-03-12Date issued: 1994

Publication Status: Issued

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Publishing info: Oxford, UK : Oxford University Press

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Identifiers: eDoc: 519605
Other: Local-ID: C1256104005ECAFC-C28B670E40A8810EC125614400622CB1-Matthews94b

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Title: What is a logical system?

Source Genre: Book

Creator(s):
Gabbay, Dov M., Editor

Affiliations:
-

Publ. Info: Oxford, UK : Oxford University Press

Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 329 - 354 Identifier: -