Category «Logic and complexity»

Characterising aspects of proof compression

We consider deep inference proof formalisms, which are flexible enough to embed many widely used proof systems, and construe compression mechanisms `cut’ and `dag’ in a way that is independent of any particular proof system, but in a way that nonetheless has the same effect from the point of view of proof complexity. The main …

On the proof complexity of cut-free bounded deep inference

It has recently been shown that cut-free deep inference systems exhibit an exponential speed-up over cut-free sequent systems, in terms of proof size. While this is good for proof complexity, there remains the problem of typically high proof search non-determinism induced by the deep inference methodology: the higher the depth of inference, the higher the …