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EXPLORING THE LANDSCAPE OF RELATIONAL SYLLOGISTIC LOGICS
Part of
- General logic
ALEX KRUCKMAN, LAWRENCE S. MOSS
Journal: The Review of Symbolic Logic / Volume 14 / Issue 3 / September 2021
Published online by Cambridge University Press: 21 October 2020, pp. 728-765
Print publication: September 2021
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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.