Piotr Rudnicki

TL;DR: The Automated Reasoning for Mizar service is described, which provides ATP assistance to Mizar authors in finding and explaining proofs, and offers generation of Mizar problems as challenges to ATP systems.

TL;DR: In this paper, the authors describe the Automated Reasoning for Mizar (MizAR) service, which integrates several automated reasoning, artificial intelligence, and presentation tools with Mizar and its authoring environment.

TL;DR: Issues concerning information retrieval, i.e., searching, browsing and presentation of MML contents are described and a web-based tool providing such functionalities is being implemented by G. Bancerek.

TL;DR: Four statements equivalent to well-foundedness have been proved in Mizar and the proofs mechanically checked for correctness and stressed the importance of a systematic development of a mechanized data base for mathematics in the spirit of the QED Project.

TL;DR: This paper reports on the MIZAR formalization of the theory of continuous lattices as presented in Gierz et al.: A Compendium of Continuous Lattices, 1980, which is the most sizable effort aimed at mechanically checking some substantial and relatively recent field of advanced mathematics.