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Logics with Invariantly Used Relations

Eickmeyer, Kord (2020):
Logics with Invariantly Used Relations.
Darmstadt, Technische Universität Darmstadt, Fachbereich Mathematik, DOI: 10.25534/tuprints-00013503,
[Habilitation]

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Item Type: Habilitation
Title: Logics with Invariantly Used Relations
Language: English
Abstract:

This thesis deals with various aspects of the finite model theory of logics with invariantly used relations. To construct such a logic we start with an arbitrary logic L, such as first-order or monadic second-order logic and enrich it by giving it the ability to speak about additional relations such as a linear order which is not actually defined on the structure in question, provided that its truth value be independent of which particular linear order we choose. We investigate how the expressive power of the resulting logics relates to that of the base logic L, and give efficient algorithms for model-checking.

Place of Publication: Darmstadt
Classification DDC: 000 Allgemeines, Informatik, Informationswissenschaft > 004 Informatik
500 Naturwissenschaften und Mathematik > 510 Mathematik
Divisions: 04 Department of Mathematics > Logic
04 Department of Mathematics > Logic > Algorithmic Model Theory
Date Deposited: 22 Sep 2020 13:54
Last Modified: 22 Sep 2020 16:36
DOI: 10.25534/tuprints-00013503
URN: urn:nbn:de:tuda-tuprints-135032
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/13503
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