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EXPLORING THE LANDSCAPE OF RELATIONAL SYLLOGISTIC LOGICS

Part of: General logic

Published online by Cambridge University Press:  21 October 2020

ALEX KRUCKMAN  and
LAWRENCE S. MOSS
ALEX KRUCKMAN
Affiliation:
DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE WESLEYAN UNIVERSITYMIDDLETOWN, CT, USA E-mail: akruckman@wesleyan.edu
LAWRENCE S. MOSS
Affiliation:
DEPARTMENT OF MATHEMATICS INDIANA UNIVERSITY BLOOMINGTONBLOOMINGTON, IN, USA E-mail: lmoss@indiana.edu
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Abstract

This paper explores relational syllogistic logics, a family of logical systems related to reasoning about relations in extensions of the classical syllogistic. These are all decidable logical systems. We prove completeness theorems and complexity results for a natural subfamily of relational syllogistic logics, parametrized by constructors for terms and for sentences.

Keywords

natural logicsyllogistic logicproof systemscompletenesscomputational complexity

MSC classification

Primary: 03B65: Logic of natural languages
Type
Research Article
Information
The Review of Symbolic Logic , Volume 14 , Issue 3 , September 2021 , pp. 728 - 765
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Copyright
© The Review of Symbolic Logic, 2020

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