# Exploring the Landscape of Relational Syllogistic Logics

arXiv: https://arxiv.org/abs/1809.00656 · HTML: https://mlsanity.com/paper/1809.00656/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 3 Sep 2018.

## Built on by (most cited first, 2 of 2)

- [The Measurable Majority](https://mlsanity.com/paper/2606.23853/) (2026)
- [Epistemic Syllogistic: First Steps](https://mlsanity.com/paper/2307.05043/) (2023)

## Abstract (arXiv)

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.