Open AccessSystem semantics of explanatory dictionaries
Author(s) -
Volodymyr Shyrokov
Publication year - 2015
Publication title -
cognitive studies
Language(s) - English
Resource type - Journals
eISSN - 2392-2397
pISSN - 2080-7147
DOI - 10.11649/cs.2012.007
Subject(s) - lexicographical order , semantics (computer science) , completeness (order theory) , computer science , formalism (music) , linguistics , mathematics , natural language processing , programming language , combinatorics , philosophy , art , musical , visual arts , mathematical analysis
System semantics of explanatory dictionariesSome semantic properties of the language to be followed from the structure of lexicographical systems of big explanatory dictionaries are considered. The hyperchains and hypercycles are determined as the definite kind of automorphisms of the lexicographical system of explanatory dictionary. Some semantic consequencies following from the principles of lexicographic closure and lexicographic completeness are investigated using the hyperchains and hypercycles formalism. The connection between the hypercyle properties of the lexicographical system semantics and Goedel’s incompleteness theorem is discussed.