Auxiliary modal operators and the characterization of modal frames

Nonnengart, Andreas

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Auxiliary modal operators and the characterization of modal frames

Nonnengart, A.(1996). Auxiliary modal operators and the characterization of modal frames (MPI-I-1996-2-005). Saarbrücken: Max-Planck-Institut für Informatik.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-9FE9-2 Version Permalink: https://hdl.handle.net/21.11116/0000-0001-18D5-4

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MPI-I-96-2-005.pdf (Preprint), 366KB

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Nonnengart, Andreas¹, Author

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

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Abstract: In modal logics we are interested in classes of frames which determine the logic under consideration. Such classes are usually distinguished by their respective frame properties, often also called the modal logic's background theory. In general these characterizations are not unique and it is desireable (and that not only from a theorem prover's perspective) to find a strongest possible. In this paper an approach is presented which helps in this respect. It allows us to transform a given background theory into one which is more general and which modal logics cannot distinguish from the former because of their syntactic and semantic restrictions. The underlying technique is based on the idea to find conservative extensions (of a given logic) whose determining properties serve as a starting point from which it is possible to extract significantly stronger characterizations of the original logic.

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Language(s): eng - English

Dates: Date issued: 1996

Publication Status: Issued

Pages: 37 p.

Publishing info: Saarbrücken : Max-Planck-Institut für Informatik

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Identifiers: Report Nr.: MPI-I-1996-2-005
BibTex Citekey: Nonnengart96a

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Title: Research Report / Max-Planck-Institut für Informatik

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