Overview on the Apply Math Project at RISC
Bruno Buchberger, RISC Hagenberg, Austria
Abstract:
We started work on a project, "Apply Math" that aims at creating a uniform
(logic and software) system for "doing" mathematics. The lack of support of
proving seems to be the most apparent gap in present mathematical software
systems. Filling this gap is one of the major aims of the Apply Math
project. We choose a version of higher order logic (with set theory as a
sublanguage) as the logic framework and we start from Mathematica as a
software framework for working towards the general goal. We report on first
steps towards
- structuring mathematical knowledge by functors
- implementing functors in Mathematica
- attaching special provers with each functors
- implementing a mathematical syntax using facilities of Mathematica 3.0