Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6875469 | Theoretical Computer Science | 2018 | 11 Pages |
Abstract
A pattern α is a word consisting of constants and variables and it describes the pattern language L(α) of all words that can be obtained by uniformly replacing the variables with constant words. In 1982, Shinohara presents an algorithm that computes a pattern that is descriptive for a finite set S of words, i.e., its pattern language contains S in the closest possible way among all pattern languages. We generalise Shinohara's algorithm to subclasses of patterns and characterise those subclasses for which it is applicable. Furthermore, within this set of pattern classes, we characterise those for which Shinohara's algorithm has a polynomial running time (under the assumption Pâ NP). Moreover, we also investigate the complexity of the consistency problem of patterns, i.e., finding a pattern that separates two given finite sets of words.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Henning Fernau, Florin Manea, Robert MercaÅ, Markus L. Schmid,