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.

[1]  Mohammed J. Zaki.  Scalable Algorithms for Association Mining , 2000, IEEE Trans. Knowl. Data Eng..

[2]  Oleg Bisikalo,et al.  System of computational linguistic on base of the figurative text comprehension , 2016, 2016 IEEE First International Conference on Data Stream Mining & Processing (DSMP).

[3]  Jerrold R. Griggs,et al.  Venn Diagrams and Symmetric Chain Decompositions in the Boolean Lattice , 2004, Electron. J. Comb..

[4]  Diyi Yang,et al.  Humor Recognition and Humor Anchor Extraction , 2015, EMNLP.

[5]  S. Cięszczyk,et al.  Solving problems on base of concepts formalization of language image and figurative meaning of the natural-language constructs , 2015, Optical Fibers and Their Applications.

[6]  Magnus Sahlgren,et al.  The Word-Space Model: using distributional analysis to represent syntagmatic and paradigmatic relations between words in high-dimensional vector spaces , 2006 .

[7]  Oleg Bisikalo,et al.  Encoding of Natural Language Information on the Basis of the Power Set , 2018, 2018 IEEE 13th International Scientific and Technical Conference on Computer Sciences and Information Technologies (CSIT).

[8]  Takayuki Hibi,et al.  Distributive Lattices, Bipartite Graphs and Alexander Duality , 2003 .

[9]  S. Attardo.  Linguistic theories of humor , 1994 .

[10]  A Note on the Envelopes of an Associative Pair , 2004 .

[11]  Ali A. Minai,et al.  Efficient associative memory using small-world architecture , 2001, Neurocomputing.

[12]  P. J. Higgins,et al.  Nonabelian Algebraic Topology: Filtered Spaces, Crossed Complexes, Cubical Homotopy Groupoids , 2011 .