AI RESEARCH
State Algebra for Probabilistic Logic
arXiv CS.AI
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ArXi:2603.13574v1 Announce Type: new This paper presents a Probabilistic State Algebra as an extension of deterministic propositional logic, providing a computational framework for constructing Marko Random Fields (MRFs) through pure linear algebra. By mapping logical states to real-valued coordinates interpreted as energy potentials, we define an energy-based model where global probability distributions emerge from coordinate-wise Hadamard products.