What question did this study set out to answer?

This paper aims to introduce the EVA Algebra, exploring its composition operators and underlying algebraic principles.

March 24, 2026Open Access

Digital Circuitality IV: The EVA Algebra (v2, Kish-corrected)

Key Points

This paper aims to introduce the EVA Algebra, exploring its composition operators and underlying algebraic principles.
Development of three composition operators: sequential, parallel, and conditional.
Proof of algebraic laws related to the composition operators.
Formulation of the Verification Closure theorem.
Establishment of rigorous algebraic laws associated with the EVA Algebra.
Demonstration of the Verification Closure theorem's significance in the algebraic structure.
Alignment of the terminology with the information-theoretic framework.

Abstract

Paper IV of the Digital Circuitality foundational series. Presents EVA (Entropic Verification Algebra): three composition operators (sequential, parallel, conditional) with proved algebraic laws and Verification Closure theorem. v2 (March 2026): corrected per review by Prof. Laszlo B. Kish (Texas A&M University). Terminology aligned with information-theoretic framework. Following Kish & Ferry (2018), DOI: 10.1007/s10825-017-1044-1.

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