activity
20182026
most citedSmooth digraphs modulo primitive positive constructability and cyclic loop conditions

6 citations · 15 across the 7 of their papers we have counts for

collaborators

11 papers

math.RA2026

Conservative CSPs in Logspace are in Symmetric Linear Datalog (under complexity theoretic assumptions)

Florian Starke

We show that the constraint satisfaction problem of any finite conservative structure that can not pp-construct st-Con (whose CSP is NL-complete) or 3Lin2 (whose CSP is Mod2L-compl…

cs.LO2026

Almost Symmetric Linear Arc Monadic Datalog and Transitive Tournaments

Sebastian Meyer, Florian Starke

We introduce -almost symmetric Datalog and study -almost symmetric linear arc monadic Datalog. We characterize the finite relational structures whose constraint satisfaction…

math.GR2024

Finite Simple Groups in the Primitive Positive Constructability Poset

Sebastian Meyer, Florian Starke

We show that any clone over a finite domain that has a quasi Maltsev operation and fully symmetric operations of all arities has an incoming minion homomorphism from I, the clone o…

math.RA2024

Symmetric Linear Arc Monadic Datalog and Gadget Reductions

Manuel Bodirsky, Florian Starke

A Datalog program solves a constraint satisfaction problem (CSP) if and only if it derives the goal predicate precisely on the unsatisfiable instances of the CSP. There are three D…

math.RA2024

Digraphs modulo primitive positive constructability

Florian Starke

This is my dissertation about digraphs ordered by pp-constructability. We study in particular smooth digraphs, i.e., digraphs without sources or sinks, tournaments and semicomplete…

math.RA2022

The Smallest Hard Trees

Manuel Bodirsky, Jakub Bulín, Florian Starke +1

We find an orientation of a tree with 20 vertices such that the corresponding fixed-template constraint satisfaction problem (CSP) is NP-complete, and prove that for every orientat…

math.CO2021★ 5 cited

Maximal Digraphs With Respect to Primitive Positive Constructibility

Florian Starke, Manuel Bodirsky

We study the class of all finite directed graphs up to primitive positive constructability. The resulting order has a unique greatest element, namely the graph with one verte…

cs.LO2020

ASNP: a tame fragment of existential second-order logic

Manuel Bodirsky, Simon Knäuer, Florian Starke

Amalgamation SNP (ASNP) is a fragment of existential second-order logic that strictly contains binary connected MMSNP of Feder and Vardi and binary guarded monotone SNP of Bienvenu…

math.RA2019★ 4 cited

On associative operations on commutative integral domains

Erkko Lehtonen, Florian Starke

We describe the associative multilinear polynomial functions over commutative integral domains. This extends Marichal and Mathonet's result on infinite integral domains and provide…

math.RA2019★ 6 cited

Smooth digraphs modulo primitive positive constructability and cyclic loop conditions

Manuel Bodirsky, Florian Starke, Albert Vucaj

Finite smooth digraphs, that is, finite directed graphs without sources and sinks, can be partially ordered via pp-constructability. We give a complete description of this poset an…

cs.FL2018

Exploring the Topological Entropy of Formal Languages

Florian Starke

We introduce the notions of topological entropy of a formal language and of a topological automaton. We show that the entropy function is surjective and bound the entropy of langua…