output
20232026
most citedA higher-order transformation approach to the formalization and analysis of BPMN using graph transformation systems

6 citations

64 papers

math.GR2026

Quadratic Equations in Graph Products of Groups and the Exponent of Periodicity

Volker Diekert, Silas Natterer, Alexander Thumm

In 1977, Makanin established the decidability of equations in free monoids. A key ingredient in his proof is the exponent of periodicity: for a word , it is the largest exponent…

math.GR2026

The group identification problem for -groups of small order

Bettina Eick, Henrik Schanze

We investigate which group-theoretic invariants are powerful in distinguishing among non-isomorphic p-groups. Based on this, we devise an effective algorithm to solve the group ide…

math.LO2026

On the Diophantine problem related to power circuits

Alexander Rybalov

Myasnikov, Ushakov, and Won introduced power circuits in 2012 to construct a polynomial-time algorithm for the word problem in the Baumslag group, which has a non-elementary Dehn f…

cs.LO2025

The Complexity of Defining and Separating Fixpoint Formulae in Modal Logic

Jean Christoph Jung, Jędrzej Kołodziejski

Modal separability for modal fixpoint formulae is the problem to decide for two given modal fixpoint formulae whether there is a modal formula that separates them, in th…

cs.CC2025

Prover-Adversary games for systems over (non-deterministic) branching programs

Anupam Das, Avgerinos Delkos

We introduce Pudlak-Buss style Prover-Adversary games to characterise proof systems reasoning over deterministic branching programs (BPs) and non-deterministic branching programs (…

math.LO2025

Constraint satisfaction problems, compactness and non-measurable sets

Claude Tardif

A finite relational structure A is called compact if for any infinite relational structure B of the same type, the existence of a homomorphism from B to A is equivalent to the exis…

cs.LO2025

Computation by infinite descent made explicit

Sebastian Enqvist

We introduce a non-wellfounded proof system for intuitionistic logic extended with inductive and co-inductive definitions, based on a syntax in which fixpoint formulas are annotate…

cs.LO2025

Locality in Residuated-Lattice Structures

James Carr

Many-valued models generalise the structures from classical model theory by defining truth values for a model with an arbitrary algebra. Just as algebraic varieties provide semanti…

cs.LO2025

Simple Classes of Automatic Structures

Achim Blumensath

We study two subclasses of the class of automatic structures: automatic structures of polynomial growth and Presburger structures. We present algebraic characterisations of the gro…

math.RA2025

Polynomial-Time Algorithms for Black-Box Distributive Expanded Groups

Mikhail Anokhin

Let be a finite set of finitary operation symbols. An -expanded group is a group (written additively and called the additive group of the -expanded group) with an -alg…

cs.LO2025

Going deep and going wide: Counting logic and homomorphism indistinguishability over graphs of bounded treedepth and treewidth

Isolde Adler, Eva Fluck, Tim Seppelt +1

We study the expressive power of first-order logic with counting quantifiers, especially the -variable and quantifier-rank- fragment, using homomorphism indistinguishability.…

math.CT2025

Hofmann-Streicher lifting of fibred categories

Andrew Slattery, Jonathan Sterling

In 1997, Hofmann and Streicher introduced an explicit construction to lift a Grothendieck universe from the category of sets into the category of set-valued presheaves on a small c…

cs.LO2025★ 1 cited

On the consistency of stronger lower bounds for NEXP

Neil Thapen

It was recently shown by Atserias, Buss and Mueller that the standard complexity-theoretic conjecture NEXP not in P / poly is consistent with the relatively strong bounded arithmet…

cs.SE2025

Formal Analysis of the Contract Automata Runtime Environment with Uppaal: Modelling, Verification and Testing

Davide Basile

Recently, a distributed middleware application called contract automata runtime environment (CARE) has been introduced to realise service applications specified using a dialect of…

cs.LO2025

A Dichotomy Theorem for Ordinal Ranks in MSO

Damian Niwiński, Paweł Parys, Michał Skrzypczak

We focus on formulae of monadic second-order logic over the full binary tree, such that the witness is a well-founded set. The ordinal rank $\mathr…

cs.LO2024

Algorithms for Markov Binomial Chains

Alejandro Alarcón Gonzalez, Niel Hens, Tim Leys +1

We study algorithms to analyze a particular class of Markov population processes that is often used in epidemiology. More specifically, Markov binomial chains are the model that ar…

cs.LO2024

On Polynomial-Time Decidability of k-Negations Fragments of First-Order Theories

Christoph Haase, Alessio Mansutti, Amaury Pouly

This paper introduces a generic framework that provides sufficient conditions for guaranteeing polynomial-time decidability of fixed-negation fragments of first-order theories that…

cs.LO2024★ 2 cited

The Size-Change Principle for Mixed Inductive and Coinductive types

Pierre Hyvernat

This paper shows how to use Lee, Jones and Ben Amram's size-change principle to check correctness of arbitrary recursive definitions in an ML / Haskell like programming language wi…

math.CT2024★ 1 cited

The categorical contours of the Chomsky-Schützenberger representation theorem

Paul-André Melliès, Noam Zeilberger

We develop fibrational perspectives on context-free grammars and on nondeterministic finite-state automata over categories and operads. A generalized CFG is a functor from a free c…

cs.SE2024★ 1 cited

Using weakest application conditions to rank graph transformations for graph repair

Lars Fritsche, Alexander Lauer, Maximilian Kratz +2

When using graphs and graph transformations to model systems, consistency is an important concern. While consistency has primarily been viewed as a binary property, i.e., a graph i…

math.AC2024★ 1 cited

Computing the unit group of a commutative finite -algebra

Martin Kreuzer, Florian Walsh

For a commutative finite -algebra, i.e., for a commutative ring whose additive group is finitely generated, it is known that the group of units of is finitely g…

cs.LO2024

A categorical account of composition methods in logic (extended version)

Tomáš Jakl, Dan Marsden, Nihil Shah

We present a categorical theory of the composition methods in finite model theory -- a key technique enabling modular reasoning about complex structures by building them out of sim…

math.GR2024★ 2 cited

Constrained inhomogeneous spherical equations: average-case hardness

Alexander Ushakov

In this paper we analyze computational properties of the Diophantine problem (and its search variant) for spherical equations (and its variants…

cs.LO2024★ 1 cited

On the Unprovability of Circuit Size Bounds in Intuitionistic

Lijie Chen, Jiatu Li, Igor C. Oliveira

We show that there is a constant such that Buss's intuitionistic theory does not prove that SAT requires co-nondeterministic circuits of size at least .…