Hardness of equations over finite solvable groups under the exponential time hypothesis
A Weiß - arXiv preprint arXiv:2002.10145, 2020 - arxiv.org
Goldmann and Russell (2002) initiated the study of the complexity of the equation
satisfiability problem in finite groups by showing that it is in P for nilpotent groups while it is …
satisfiability problem in finite groups by showing that it is in P for nilpotent groups while it is …
[HTML][HTML] A survey on varieties generated by small semigroups and a companion website
This paper presents new findings on varieties generated by small semigroups and groups,
and offers a survey of existing results. A companion website is provided which hosts a …
and offers a survey of existing results. A companion website is provided which hosts a …
Equation satisfiability in solvable groups
The study of the complexity of the equation satisfiability problem in finite groups had been
initiated by Goldmann and Russell in (Inf. Comput. 178 (1), 253–262,) where they showed …
initiated by Goldmann and Russell in (Inf. Comput. 178 (1), 253–262,) where they showed …
Circuit equivalence in 2-nilpotent algebras
P Kawałek, M Kompatscher, J Krzaczkowski - arXiv preprint arXiv …, 2019 - arxiv.org
The circuit equivalence problem of a finite algebra $\mathbf A $ is the computational
problem of deciding whether two circuits over $\mathbf A $ define the same function or not …
problem of deciding whether two circuits over $\mathbf A $ define the same function or not …
On NP-complete search problems on finite algebras
B Rossi, E Aichinger - 2024 IEEE 54th International Symposium …, 2024 - ieeexplore.ieee.org
We investigate under which structural assumptions on a finite algebra A the problem 3SAT
with complexity measure the number of clauses can be reduced to POLSAT(A) in logarithmic …
with complexity measure the number of clauses can be reduced to POLSAT(A) in logarithmic …
[PDF][PDF] Equation satisfiability in solvable groups
J Krzaczkowski, A Weiß - arXiv preprint arXiv:2010.11788, 2020 - academia.edu
The study of the complexity of the equation satisfiability problem in finite groups had been
initiated by Goldmann and Russell in [10] where they showed that this problem is in P for …
initiated by Goldmann and Russell in [10] where they showed that this problem is in P for …
[PDF][PDF] Circuit complexity of group theoretic problems
A Weiß - 2021 - d-nb.info
Eines der grundlegendsten Probleme der algorithmischen Gruppentheorie ist das
Wortproblem, das erstmals 1911 von Dehn beschrieben wurde [Deh11]. Für eine feste …
Wortproblem, das erstmals 1911 von Dehn beschrieben wurde [Deh11]. Für eine feste …
Solving Systems of Equations of Fixed Size over Finite Groups/submitted by Philipp Nuspl
P Nuspl - 2020 - epub.jku.at
We investigate the complexity of solving systems of polynomial equations over finite groups.
We give a survey on the known results for solving equations over general algebras, rings …
We give a survey on the known results for solving equations over general algebras, rings …