Error-detecting properties of languages
The language property of error-detection ensures that the communications medium cannot transform a word of the language to another word of the language. In this paper we provide some insights on the notion of error-detection from a language theoretic point of view. We define certain error-detecting properties of languages and codes including the notion of error-detection with finite delay which is a natural extension of unique decodability with finite delay. We obtain results about the error-detecting capabilities of regular and other languages, and of known classes of codes. Moreover, we consider the problem of estimating the optimal redundancy of infinite languages with the property of detecting errors of the deletion type. (C) 2002 Elsevier Science B.V. All rights reserved.
error-detection language code finite delay redundancy channel