Proof Theory

Proof Theory

Proof Theory

Proof theory began in the 1920’s as a part of Hilbert’s program, which aimed to secure the foundations of mathematics by modeling infinitary mathematics with formal axiomatic systems and proving those systems consistent using restricted, finitary means. The program thus viewed mathematics as a system of reasoning with precise linguistic norms, governed by rules that can be described and studied...

Proof Theory

Lectures on Proof Theory

The core of this year's workshop was a series of lectures given by Sam Buss from the University of California at San Diego, on the theme of logic (mostly proof theory) and complexity. The participants thus had the priviledge of being given a solid coverage of many beautiful recent results. This year again, it was decided to keep a permanent record of the workshop and to produce a technical repo...

Toward finitist proof theory