activity
20152021
most citedA Generic and Executable Formalization of Signature-Based Gröbner Basis Algorithms

4 citations · 5 across the 3 of their papers we have counts for

collaborators

5 papers

cs.CV2021

Comparing the Machine Readability of Traffic Sign Pictograms in Austria and Germany

Alexander Maletzky, Stefan Thumfart, Christoph Wruß

We compare the machine readability of pictograms found on Austrian and German traffic signs. To that end, we train classification models on synthetic data sets and evaluate their c…

cs.SC20204 cited

A Generic and Executable Formalization of Signature-Based Gröbner Basis Algorithms

Alexander Maletzky

We present a generic and executable formalization of signature-based algorithms (such as Faugère's ) for computing Gröbner bases, as well as their mathematical background, in…

cs.LO2018

Gröbner Bases of Modules and Faugère's Algorithm in Isabelle/HOL

Alexander Maletzky, Fabian Immler

We present an elegant, generic and extensive formalization of Gröbner bases in Isabelle/HOL. The formalization covers all of the essentials of the theory (polynomial reduction, S-p…

cs.SC2016

Verifying Buchberger's Algorithm in Reduction Rings

Alexander Maletzky

In this paper we present the formal, computer-supported verification of a functional implementation of Buchberger's critical-pair/completion algorithm for computing Gröbner bases i…

math.CA20151 cited

Two-Point Boundary Problems with One Mild Singularity and an Application to Graded Kirchhoff Plates

M. Rosenkranz, J. Liu, A. Maletzky +1

We develop a new theory for treating boundary problems for linear ordinary differential equations whose fundamental system may have a singularity at one of the two endpoints of the…