Markus Pfeiffer

Interoperability in the OpenDreamKit Project: The Math-in-the-Middle Approach

OpenDreamKit – “Open Digital Research Environment Toolkit for the Advancement of Mathematics” – is an H2020 EU Research Infrastructure project that aims at supporting, over the period 2015–2019, the ecosystem of open-source mathematical software systems. OpenDreamKit will deliver a flexible toolkit enabling research groups to set up Virtual Research Environments, customised to meet the varied needs of research projects in pure mathematics and applications.

Knowledge-based interoperability for mathematical software systems

There is a large ecosystem of mathematical software systems. Individually, these are optimized for particular domains and functionalities, and together they cover many needs of practical and theoretical mathematics. However, each system specializes on one particular area, and it remains very difficult to solve problems that need to involve multiple systems. Some integrations exist, but the are ad-hoc and have scalability and maintainability issues. In particular, there is not yet an interoperability layer that combines the various systems into a virtual research environment (VRE) for mathematics.

Two variants of the froidure-pin algorithm for finite semigroups

In this paper, we present two algorithms based on the Froidure-Pin Algorithm for computing the structure of a finite semigroup from a generating set. As was the case with the original algorithm of Froidure and Pin, the algorithms presented here produce the left and right Cayley graphs, a confluent terminating rewriting system, and a reduced word of the rewriting system for every element of the semigroup. If

New refiners for permutation group search

U

Francy - An Interactive Discrete Mathematics Framework for GAP

is any semigroup, and

Deciding Word Problems of Semigroups using Finite State Automata

A

Semigroups: 2.8.0

is a subset of

Decision problems for word-hyperbolic semigroups

U

Constructing Majorana Representations

, then we denote by

Parallel algorithms for computing finite semigroups

\langle A\rangle