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arXiv · 1910.12863

Computer-supported Exploration of a Categorical Axiomatization of Modeloids

Lucca Tiemens·Dana S. Scott·Christoph Benzmüller·Miroslav Benda
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Abstract

A modeloid, a certain set of partial bijections, emerges from the idea to abstract from a structure to the set of its partial automorphisms. It comes with an operation, called the derivative, which is inspired by Ehrenfeucht-Fra\"iss\'e games. In this paper we develop a generalization of a modeloid first to an inverse semigroup and then to an inverse category using an axiomatic approach to category theory. We then show that this formulation enables a purely algebraic view on Ehrenfeucht-Fra\"iss\'e games.

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Lucca Tiemens, Dana S. Scott, Christoph Benzmüller, Miroslav Benda. 2019-10-27. Computer-supported Exploration of a Categorical Axiomatization of Modeloids. https://doi.org/10.1007/978-3-030-43520-2_19

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