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[CS.AI] Computational Extraction of Legal Causes via Set-Theoretic Formalization

Published at: 2026-07-30 22:00 Last updated: 2026-07-30 23:39
#algorithm #optimization #Mathematical

This paper presents a set-theoretic formalization of the classical usuli method of al-Sabr wa al-Taqsim (Examination and Division) for extracting legal causes ('ilal) within closed chapters of jurisprudence. A computational algorithm is introduced that extracts minimal operational rules from a truth table of juristic verdicts. The principal result is that, given a complete truth table for a closed chapter, the algorithm computes the minimal structural generators of the ruling and eliminates all logically redundant attributes. The resulting structures constitute admissible candidate causes for subsequent juristic evaluation. The framework is conditional upon the availability of a finite school-relative concept vocabulary and a complete ruling table for the chapter under investigation.

Blogger's Review: This paper innovatively combines traditional legal examination methods with computational algorithms through a set-theoretic formalization, providing a new perspective on legal reasoning. The effectiveness of this method lies in its ability to clearly identify and eliminate redundant information, offering a more precise tool for legal research. Future studies could explore how to apply this theoretical framework in practical cases.

Original Source: https://arxiv.org/abs/2607.25605

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