227 citations
- University of StuttgartDE59 papers
- Max Planck Institute for Intelligent SystemsDE4 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Heidelberg UniversityDE3 papers
- Baden-Wuerttemberg Cooperative State UniversityDE2 papers
- British Astronomical AssociationGB2 papers
- Center for Integrated Quantum Science and TechnologyDE2 papers
- Graz University of TechnologyAT2 papers
- Jet Propulsion LaboratoryUS2 papers
- Kirchhoff (Germany)DE2 papers
- Max Planck Institute for Solid State ResearchDE2 papers
- Planetary Science InstituteUS2 papers
6 papers · 1 filter
Efficient Membership Testing for Pseudovarieties of Finite Semigroups
Lukas Fleischer
We consider the complexity of deciding membership of a given finite semigroup to a fixed pseudovariety. While it is known that there exist pseudovarieties with NP-complete or even…
A Survey on the Local Divisor Technique
Volker Diekert, Manfred Kufleitner
Local divisors allow a powerful induction scheme on the size of a monoid. We survey this technique by giving several examples of this proof method. These applications include linea…
The Join Levels of the Trotter-Weil Hierarchy are Decidable
Manfred Kufleitner, Alexander Lauser
The variety DA of finite monoids has a huge number of different characterizations, ranging from two-variable first-order logic FO^2 to unambiguous polynomials. In order to study th…
Lattices of Logical Fragments over Words
Manfred Kufleitner, Alexander Lauser
This paper introduces an abstract notion of fragments of monadic second-order logic. This concept is based on purely syntactic closure properties. We show that over finite words, e…
Regular Ideal Languages and Their Boolean Combinations
Franz Jahn, Manfred Kufleitner, Alexander Lauser
We consider ideals and Boolean combinations of ideals. For the regular languages within these classes we give expressively complete automaton models. In addition, we consider gener…
Languages of Dot-depth One over Infinite Words
Manfred Kufleitner, Alexander Lauser
Over finite words, languages of dot-depth one are expressively complete for alternation-free first-order logic. This fragment is also known as the Boolean closure of existential fi…