Complexity of some problems in editing words
Diskretnaya Matematika, Tome 1 (1989) no. 4, pp. 104-112
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By the editing of a word $S$ with respect to a language $L$ is meant a procedure for choosing a minimal sequence of operations from a given set of operations $\varPhi$ that translates $S$ into some word of $L$. Under the assumption that the set $\varPhi$ consists of operations of removal of letters, insertion of letters, replacement of one letter by another and transposition of a pair of letters, we establish $NP$-completeness of a problem of editing with respect to language $L$ with constraints on the set of subwords that occur in words of the language.