Mizar is one of the pioneering systems for mathematics formalization, which still has an
active user community. The project has been in constant development since 1973, when …

Four Decades of Mizar Page 1 DOI 10.1007/s10817-015-9345-1 Four Decades of Mizar
Foreword Adam Grabowski1 · Artur Korniłowicz1 · Adam Naumowicz1 Received: 5 August 2015 …

One of the main components of the Mizar project is the Mizar language, a computer
language invented to reflect the natural language of mathematics. From the very beginning …

Equality is fundamental notion of logic and mathematics as a whole. If computer-supported
formalization of knowledge is taken into account, sooner or later one should precisely …

In this paper we present the results of an experiment with employing an external SAT solver
to strengthen the notion of obviousness of the Mizar proof checker. The presented extension …

Abstract The Mizar Verifier uses definitional expansions for controlling proof structures. In
this paper we propose another use of definitional expansions—enriching verified inferences …

Building a repository of proof-checked mathematical knowledge is without any doubt a lot of
work, and besides the actual formalization process there is also the task of maintaining the …

The computer certification of rough sets (the translation in a way understandable by
machines) seems to be far beyond the test phase. To assure the feasibility of the approach …

Proof development in proof assistants such as HOL, Coq, Mizar, etc. is an activity where
authors usually produce proofs by ty** out proof scripts or system tactics. Quite frequently …

In this paper another twelve problems from W. Sierpiński's book “250 Problems in
Elementary Number Theory” are formalized, using the Mizar formalism, namely: 42, 43, 51 …