Logic is an ancient discipline that has undergone striking modern developments through the introduction of rigorous formal methods, stimulated largely by foundational problems in mathematics.

The authors also point out that the use of implication is quite common among those who study formal logic, but is largely ignored by those designing logic schemes, who focus on what's easy to do ...

Utilizing an idea that has its first appearance in Gerhard Gentzen's unpublished manuscripts, we generate an exhaustive repertoire of all the possible inference rules that are related to the left ...