This work belongs to a wider effort aimed at eliminating syntactic bureaucracy from proof systems. In this paper, we present a novel cut elimination procedure for classical propositional logic. It is based on the recently introduced atomic flows: they are purely graphical devices that abstract away from much of the typical bureaucracy of proofs. We make crucial use of the path breaker, an atomic-flow construction that avoids some nasty termination problems, and that can be used in any proof system with sufficient symmetry. This paper contains an original 2-dimensional-diagram exposition of atomic flows, which helps us to connect atomic flows with other known formalisms.
|Name||Proceedings - Symposium on Logic in Computer Science|
|Conference||25th Annual IEEE Symposium on Logic in Computer Science, LICS 2010, July 11, 2010 - July 14, 2010|
|Country||UK United Kingdom|
|Period||1/07/10 → …|