In word and phrase theory of Turaev, we interpret links or virtual inks as equivalences of phrases over an alphabet consisting four letters. V. Turaev onstructed a version of the Jones polynomial for phrases. We study the ell-definedness of the Jones polynomial for phrases in word theory. On the ther hand, M. Khovanov introduced a collection of homology groups which is strictly stronger link invariant than the Jones polynomial and O. Viro reconstructed hese Khovanov homology groups. We construct phrase invariants as the omology groups of certain chain complexes for phrases where the coefficients of he Jones polynomial are the Euler characteristics of these complexes using the iro’s method of Khovanov theory. The invariance of these homology groups is howed in only terminology of Turaev’s theory of phrases. Moreover, we apply he homology groups to getting invariants for an other type of phrases over an lphabet consisting any letters
