Set-Theoretic Formalization of Islamic Legal Cause Extraction via al-Sabr wa al-Taqsim
A new paper on arXiv reveals a set-theoretic method to enhance the traditional usuli approach called al-Sabr wa al-Taqsim, which focuses on finding legal causes ('ilal) within specific jurisprudential sections. The authors created a computational algorithm that uses a truth table of legal decisions to extract the simplest operational rules. Their main discovery shows that, with a complete truth table for a given chapter, the algorithm can pinpoint essential structural components of the ruling while eliminating unnecessary logical elements. These components can then be analyzed further in legal discussions. This study utilizes a specific vocabulary pertinent to the school and includes a thorough ruling table for the chapter. It falls under Computer Science > Artificial Intelligence and was submitted on July 25, 2026.
Key facts
- Paper presents set-theoretic formalization of al-Sabr wa al-Taqsim method.
- Method used for extracting legal causes ('ilal) in Islamic jurisprudence.
- Algorithm extracts minimal operational rules from truth tables of juristic verdicts.
- Algorithm computes minimal structural generators of the ruling.
- Eliminates all logically redundant attributes.
- Resulting structures are admissible candidate causes for juristic evaluation.
- Framework requires finite school-relative concept vocabulary and complete ruling table.
- Paper categorized under Computer Science > Artificial Intelligence.
Entities
Institutions
- arXiv