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  Reflection using the derivability conditions

Matthews, S., & Simpson, A. (1996). Reflection using the derivability conditions. In A. Ursini, & P. Agilanò (Eds.), Logic and Algebra (pp. 603-616). New York, USA: Marcel Dekker.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AC02-0 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AC03-E
Genre: Book Chapter

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 Creators:
Matthews, Seán1, Author           
Simpson, Alex, Author
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: Reflection principles are a way to build non-conservative true extensions of a theory. However the application of a reflection principle needs a proof predicate, and the effort needed to provide this is so great as to be not really practical. We look at a possible way to avoid this effort by using, instead of a proof predicate, a predicate defined using only necessary `modal' properties. Surprisingly, we can produce powerful non-conservative extensions this way. But a reflection principle based on such a predicate is essentially weaker, and we also consider its limitations.

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Language(s): eng - English
 Dates: 2010-03-121996
 Publication Status: Issued
 Pages: -
 Publishing info: New York, USA : Marcel Dekker
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519454
Other: Local-ID: C1256104005ECAFC-04B52CBE85617943C12561440062471A-MatthewsSimpson96a
 Degree: -

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Title: Logic and Algebra
Source Genre: Book
 Creator(s):
Ursini, Aldo, Editor
Agilanò, Paolo, Editor
Affiliations:
-
Publ. Info: New York, USA : Marcel Dekker
Pages: - Volume / Issue: 180 Sequence Number: - Start / End Page: 603 - 616 Identifier: ISBN: 0824796063