An Introduction to Substructural Logics

Description

An introduction to an important group of logics that have come to be known under the umbrella term susbstructural. Substructural logics have independently led to significant developments in philosophy, computing and linguistics. This text systematically surveys the results and the important impact that this class of logics has had on wide ranging fields.

"Greg Lestall offers a comprehensive introduction to substructural logics, some examples of which are relevant logics, linear logic, the Lambek calculus, and Lukasiewicz's many-valued logics. Restall discusses the question of what distinguishes these logics from classical logic; what motivates the creation of these logics; how theorums in the Lambek calculus are proved; what rules the Lambek calculus reinterprets or drops; what kinds of semantics can be given for these kinds of logics; and whether these logics are decidable. In every case Restall's book does a good job of presenting answers to these questions.."-"Teaching Philosophy