It first presents the procedural and declarative styles of proving and the HOL and Mizar systems. Then Section 6 presents the main idea of the paper which is ...

This paper shows that the procedural and the declarative ways of proving are related and can be integrated seamlessly. It presents an implementation of the ...

Abstract. There are two different approaches to formalizing proofs in a computer: the procedural approach (which is the one of the HOL system).

This paper presents an implementation of the Mizar proof language on top of HOL that consists of only 41 lines of ML, showing how close the procedural and ...

Many proof assistants following the LCF tradition now have Mizar modes; for example, Mizar modes have been implemented in HOL (Harrison, 1996) and HOL light ( ...

The HOL. Light system has been chosen and the necessary first step of proposed translation is to reconstruct the Mizar type system in the HOL Light system, ...

Part of our work involves adding new facili- ties to HOL for first order automation, since this allows HOL to be more flexible, as Mizar is, over the precise ...

Mar 16, 2010 · The theorem provers which most directly embody this methodology are those in the LCF tradition, such as Isabelle and HOL/Light. They actually ...

Mizarlight you can find Wiedijk's original “Mizar Light” system together with two proofs using this style of duality in projective geometry, one using ...

Sep 14, 2022 · HOL Light is famous for its huge multivariate analysis library: nearly 300,000 lines of code and 13,000 theorems. I spent a lot of time between ...