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  Structuring metatheory on inductive definitions

Basin, D. A., & Matthews, S. (1996). Structuring metatheory on inductive definitions. In M. A. McRobbie, & J. K. Slaney (Eds.), Proceedings of the 13th International Conference on Automated Deduction (CADE-13) (pp. 171-185). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AC17-2 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AC18-F
Genre: Conference Paper

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 Creators:
Basin, David A.1, Author           
Matthews, Seán1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We examine a problem in formal metatheory: if theories are structured hierarchically, there are metatheorems which hold in only some extensions. We illustrate this using modal logics and the deduction theorem. We show how statements of metatheorems in such hierarchies can take account of possible theory extensions; i.e., a metatheorem formalizes not only the theory in which it holds, but also under what extensions, both to the language and proof system, it remains valid. We show that FS/sub 0/, a system for formal metamathematics, provides a basis for organizing theories this way, and we report on our practical experience

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Language(s): eng - English
 Dates: 2010-03-121996
 Publication Status: Issued
 Pages: -
 Publishing info: Berlin, Germany : Springer
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519537
Other: Local-ID: C1256104005ECAFC-6AE087A81D011930C125646000584E57-BasinMatthews96b
 Degree: -

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Title: Untitled Event
Place of Event: New Brunswick, New Jersey, USA
Start-/End Date: 1996

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Title: Proceedings of the 13th International Conference on Automated Deduction (CADE-13)
Source Genre: Proceedings
 Creator(s):
McRobbie, M. A., Editor
Slaney, J. K., Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 171 - 185 Identifier: ISBN: 3540615113

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Title: Lecture Notes in Artificial Intelligence
Source Genre: Series
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -