Goal-Directed Proof Theory

This guide presents a uniform and coherent methodology for automated deduction in non-classical logics, the relevance of which to computer science is widely acknowledged. The methodology is based on goal-directed provability. It is a generalization of the logic programming style of deduction, favourable for proof search. The methodology is applied in a uniform way to a wide range of non-classical systems, covering intuitionistic, intermediate, modal and substructural logics. The book can also be used as an introduction to these logical systems from a procedural perspective. The text should be useful to computer scientists, mathematicians and philosophers, and anyone interested in the automation of reasoning based on non-classical logics. It is also suitable for self study, its only prerequisite being some elementary knowledge of logic and proof theory.