## Computer Supported Formal Work: Towards a Digital Mathematical Assistant (2007)

Venue: | STUDIES IN LOGIC, GRAMMAR AND RHETORIC |

Citations: | 1 - 1 self |

### BibTeX

@MISC{Siekmann07computersupported,

author = {Jörg Siekmann and Serge Autexier},

title = { Computer Supported Formal Work: Towards a Digital Mathematical Assistant},

year = {2007}

}

### OpenURL

### Abstract

The year 2004 marked the fiftieth birthday of the first computer generated proof of a mathematical theorem: “the sum of two even numbers is again an even number ” (with Martin Davis ’ implementation of Presburger Arithmetic in 1954). While Martin Davis and later the research community of automated deduction used machine oriented calculi to find the proof for a theorem by automatic means, the Automath project of N.G. de Bruijn – more modest in its aims with respect to automation – showed in the late 1960s and early 70s that a complete mathematical textbook could be coded and proof-checked by a computer. Roughly at the same time in 1973, the Mizar project started as an attempt to reconstruct mathematics based on computers. Since 1989, the most important activity in the Mizar project has been the development of a database for mathematics. International cooperation resulted in creating a database which includes more than 7000 definitions of mathematical concepts and more than 42000 theorems. The work by