Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a restricted variant of the prefix-suffix duplication operation, called bounded prefix-suffix duplication. It consists in the iterative duplication of a length-bounded prefix or suffix of a given word.  give a sufficient condition for the closure of a class of languages under bounded prefix-suffix duplication. Consequently,  get that the class of regular languages is closed under bounded prefix-suffix duplication; furthermore,  propose an algorithm which decides whether a regular language is a finite k-prefix-suffix duplication language. An efficient algorithm solving the membership problem for the k-prefix-suffix duplication of a language is also presented. Finally,  define the k-prefix-suffix duplication distance beten two words, extend it to languages and show how it can be computed for regular languages.
['Marius Dumitran', 'Javier Gil', 'Florin Manea', 'Victor Mitrana']
I am writing a research paper on a idea Bounded Prefix-Suffix Duplication: Language Theoretic and Algorithmic Results
[{"from": "human", "value": "I am writing a research paper on a idea Bounded Prefix-Suffix Duplication: Language Theoretic and Algorithmic Results"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a restricted variant of the prefix-suffix duplication operation, called bounded prefix-suffix duplication. It consists in the iterative duplication of a length-bounded prefix or suffix of a given word.  give a sufficient condition for the closure of a class of languages under bounded prefix-suffix duplication. Consequently,  get that the class of regular languages is closed under bounded prefix-suffix duplication; furthermore,  propose an algorithm which decides whether a regular language is a finite k-prefix-suffix duplication language. An efficient algorithm solving the membership problem for the k-prefix-suffix duplication of a language is also presented. Finally,  define the k-prefix-suffix duplication distance beten two words, extend it to languages and show how it can be computed for regular languages."}]