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Proving Completeness in Kripke 1959’s Thesis via Banach-Tarski Decomposition and Incompleteness of Kripke’s Semantics with Th-Framework
This paper demonstrates the topological incompleteness of classical relational semantics and resolves it via a non-measurable, continuous sheaf-theoretic decomposition. In classical semantics, a formal model is defined as an ordered pair (G, K), representing a discrete state-space.
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