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Modeling the Phenomenological Concepts for Figurative Processing of Natural-Language Constructions

An approach to the formalization of the «meaning pyramid» notion for natural-language constructions (NLC) on the basis of the power set graphical interpretation is proposed in the paper. Made on the power set basis, formal interpretation of the associative pairs cognitive space is considered as a distributive bonded lattice with a complement to each element. The two-base algebraic structure is denoted as the Boolean algebra of the sense (BAS). With the BAS the following set-theoretic determinations for the phenomenological concepts of the NLC figurative processing are defined: syntagma, humor anchor, text, attention focus, such types of memory as associative memory, random access memory, memory cache.