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The historic background of algorithmic processing with regard to etymologyand methodology is translated into terms of mathematical logic and ComputerScience. A formal logic structure is introduced by exemplaryquestions posed toFiqh-chapters to define alogic query language. As a foundation, agenericalgorithm for deciding Fiqh-rulings is designed to enable and further leveragerule of law (vs. rule by law) with full transparency and complete algorithmiccoverage of Islamic law eventually providing legal security, legal equality,and full legal accountability.This is implemented by disentangling andreinstating classic Fiqh-methodology (usul al-Fiqh) with the expressive powerof subsets of First Order Logic (FOL)sustainably substituting ad hoc reasoningwith falsifiable rational argumentation. The results are discussed in formalterms of completeness, decidability and complexity of formal Fiqh-systems.AnEntscheidungsproblem for formal Fiqh-Systems is formulated and validated.

The Algorithm of Islamic Jurisprudence (Fiqh) with Validation of an Entscheidungsproblem