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This paper presents a formal theory which describes propositional binarylogic as a semantically closed formal language, and allows for syntacticallyand semantically well-formed formulae, formal proofs (demonstrability inHilbertian acception), deduction (Gentzen's view of demonstrability),CNF-ization, and deconstruction to be expressed and tested in the same(computational) formal language, using the same data structure. It is alsoshown here that Cognitive Binary Logic is a self-described theory in which theLiar Paradox is deconstructed.

Cognitive Binary Logic - The Natural Unified Formal Theory of Propositional Binary Logic