Lean provides the theory up to the fundamental theorem of Galois theory [5]. General field theory also has been formalized in Isabelle - in particular the ...
Developing Field Theory in Mizar. https://doi.org/10.15439/2023f3409 ·. Journal: Annals of Computer Science and Information Systems Proceedings of the 18th ...
In this paper we report on our formalization so far: we present basic mathematical structures and our Mizar definitions enriched with some main results. We also ...
In this paper we focus on theory development in the Mizar system [Miz04,RT01]. We formalized the beginnings of the theory of rough concept analysis [SD01,Ken96] ...
In this paper we investigate the facilities of the Mizar system concerning extending and combining theories based on structure and attribute definitions. As an ...
In this paper we report on our formalization so far: we present basic mathematical structures and our Mizar definitions enriched with some main results. We also ...
This paper describes an example of the successful formalization of quite advanced and new mathematics using the Mizar system.
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As an example we describe the Mizar development of the theory of Gröbner bases, a theory which is built upon the theory of polynomials, ring (ideal) theory, and ...
At the first sight, the underlying Mizar structure is RelStr, which has two fields: the carrier and the InternalRel, that is a binary relation of the carrier.
In this paper we report on our formalization so far: we present basic mathematical structures and our Mizar definitions enriched with some main results. We also ...