Handbook of Paraconsistency - Paperbackby J. Y. Beziau (Editor), W. Carnielli (Editor), D. M. Gabbay (Editor) Paraconsistent logics are logics which allow solid deductive reasoning under contradictions by offering a mathematical and philosophical support to contradictory yet non trivial theories. Due to its role in models of scientific reasoning and to its philosophical implications, as well as to its connections to topics such as abduction, automated reasoning, logic programming, and