We propose a setting in which the search for a proof of B or a refutation of B (a proof of ¬B) can be carried out simultaneously: this is in contrast to the usual approach in aut...
We describe an ongoing project in which we attempt to describe a neutral approach to proof and refutation. In particular, we present a language of neutral expressions which contai...
The width of a resolution proof is the maximal number of literals in any clause of the proof. The space of a proof is the maximal number of clauses kept in memory simultaneously if...
Focalization property is a deep outcome of linear logic proof theory, putting to the foreground the role of polarity in logic. It resulted an important advances in various fields, ...