The Compressed Word Problem For Groups
Download The Compressed Word Problem For Groups PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Compressed Word Problem For Groups book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
The Compressed Word Problem for Groups
Author: Markus Lohrey
language: en
Publisher: Springer Science & Business Media
Release Date: 2014-04-04
The Compressed Word Problem for Groups provides a detailed exposition of known results on the compressed word problem, emphasizing efficient algorithms for the compressed word problem in various groups. The author presents the necessary background along with the most recent results on the compressed word problem to create a cohesive self-contained book accessible to computer scientists as well as mathematicians. Readers will quickly reach the frontier of current research which makes the book especially appealing for students looking for a currently active research topic at the intersection of group theory and computer science. The word problem introduced in 1910 by Max Dehn is one of the most important decision problems in group theory. For many groups, highly efficient algorithms for the word problem exist. In recent years, a new technique based on data compression for providing more efficient algorithms for word problems, has been developed, by representing long words over group generators in a compressed form using a straight-line program. Algorithmic techniques used for manipulating compressed words has shown that the compressed word problem can be solved in polynomial time for a large class of groups such as free groups, graph groups and nilpotent groups. These results have important implications for algorithmic questions related to automorphism groups.
Complexity and Randomness in Group Theory
Author: Frédérique Bassino
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2020-06-08
Detailed Description
Developments in Language Theory
Author: Yuan Gao
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-07-30
This book constitutes the proceedings of the 14th International Conference on Developments in Language Theory, DLT 2010, held in London, Ontario, Canada, in August 2010. The 32 regular papers presented were carefully reviewed and selected from numerous submissions. The volume also contains the papers or abstracts of 6 invited speakers, as well as a 2-page abstract for each of the 6 poster papers. The topics addressed are formal languages, automata theory, computability, complexity, logic, petri nets and related areas.