Towards a Natural Representation of Mathematics in Proof Assistants

Abstract

In this thesis we investigate the proof assistant Scunak in order to explore the relationship between informal mathematical texts and their Scunak counterparts. The investigation is based on a case study in which we have formalized parts of an introductory book on real analysis. Based on this case study, we illustrate significant aspects of the formal representation of mathematics in Scunak. In particular, we present the formal proof of the example lim(1/n) = 0. Moreover, we present a comparison of Scunak with two well-known systems for formalizing mathematics, the Mizar System and Isabelle/HOL. We have proved the example lim(1/n) = 0 in Mizar and Isabelle/HOL as well and we relate certain features of formal mathematics in Mizar and Isabelle/HOL to corresponding features of the Scunak type theory in light of this example