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  Translating Graded Modalities into Predicate Logic

Ohlbach, H. J., Schmidt, R. A., & Hustadt, U. (1996). Translating Graded Modalities into Predicate Logic. In H. Wansing (Ed.), Proof Theory of Modal Logic (pp. 253-291). Dordrecht, The Netherlands: Kluwer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AC23-6 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AC24-4
Genre: Book Chapter

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 Creators:
Ohlbach, Hans Jürgen1, Author           
Schmidt, Renate A.1, Author           
Hustadt, Ullrich1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: In the logic of graded modalities it is possible to talk about sets of finite cardinality. Various calculi exist for graded modal logics and all generate vast amounts of case distinctions. In this paper we present an optimized translation from graded modal logic into many-sorted predicate logic. This translation has the advantage that in contrast to known approaches our calculus enables us to reason with cardinalities of sets symbolically. In many cases the length of proofs for theorems of this calculus is independent of the cardinalities. The translation is sound and complete.

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Language(s): eng - English
 Dates: 2010-03-121996
 Publication Status: Issued
 Pages: -
 Publishing info: Dordrecht, The Netherlands : Kluwer
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519583
Other: Local-ID: C1256104005ECAFC-A87AAF0E66645F5EC12562C8005A23E6-OhlbachSchmidtHustadt96
 Degree: -

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Title: Proof Theory of Modal Logic
Source Genre: Book
 Creator(s):
Wansing, H., Editor
Affiliations:
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Publ. Info: Dordrecht, The Netherlands : Kluwer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 253 - 291 Identifier: ISBN: 0-7923-4120-1

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Title: Studies in Applied Logic Series
Source Genre: Series
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -