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Exploring the Landscape of Relational Syllogistic Logics

Logic 2023-06-22 v2 Computation and Language Logic in Computer Science

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.

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Cite

@article{arxiv.1809.00656,
  title  = {Exploring the Landscape of Relational Syllogistic Logics},
  author = {Alex Kruckman and Lawrence S. Moss},
  journal= {arXiv preprint arXiv:1809.00656},
  year   = {2023}
}

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