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Leshchynska I.. Algebra-logical models of natural language structures and their application in artificial intelligence systems. - Manuscript.

PhD thesis (candidate degree of technical sciences) in specialty 05.13.23 Systems and tools of artificial intelligence. Kharkov National University of Radio Electronics of Ministry education and science, youth and sports of Ukraine, Kharkov, 2012.

The aim of the research is to develop algebra-logical tools of formalizing some natural language linguistic structures as a mathematical models set. The methods for solving logical equations in relational networks and linear logical operators were developed. Mathematical apparatus of linear logical transformation got further development by introduction of dual linear logical transformations for providing efficient work of relational networks. There was developed the mathematical apparatus named linguistic algebra for analysis of natural language structure. There are two levels in this algebra semantic and syntactic. The first level is represented by one of the predicates algebra, the second one is the algebra of predicate operations. The method of experimental verification of algebra-logical models was considered. Also, there was developed the theoretical scheme of supplement to sentences by object variables to obtain their clear understanding and there was devised the method for constructing graphs (trees of syntactic subordination) for sentences of natural language. The method for constructing the logical structure of relational associative networks, which can improve performance of parallel associative search for solutions to the minimal number of tables, was developed.

Key words: intelligent system, relational network, logical equation, logical operator, finite predicates algebra, linguistic algebra, linear logical transformation, associative search.

   

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