The membership problem for subsemigroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="normal">GL</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> is NP-complete-Reference-Cited by-同舟云学术

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The membership problem for subsemigroups of GL2(Z) is NP-complete

Published:2024-01 Issue: Volume:296 Page:105132
ISSN:0890-5401
Container-title:Information and Computation
language:en
Short-container-title:Information and Computation

Author:

Bell Paul C.^ORCID,Hirvensalo Mika,Potapov Igor^ORCID

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Computer Science Applications,Information Systems,Theoretical Computer Science

Reference52 articles.

1. Polynomial-time theory of matrix groups;Babai,2009

2. Learning weighted automata;Balle,2015

3. Mortality for 2×2 matrices is NP-hard;Bell,2012

4. The identity problem for matrix semigroups in SL2(Z) is NP-complete;Bell,2017

5. Reachability problems in quaternion matrix and rotation semigroups;Bell;Inf. Comput.,2008

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Enhancing Regular Expression Processing through Field-Programmable Gate Array-Based Multi-Character Non-Deterministic Finite Automata;Electronics;2024-04-24

2. Membership Problems in Infinite Groups;Lecture Notes in Computer Science;2024

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