This book introduces 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. An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of fields.The following topics are covered:
* Proof Theory
* Propositional Structures
Both students and professors of philosophy, computing, linguistics, and mathematics will find this to be an important addition to their reading.
Publisher: Taylor & Francis Ltd
Number of pages: 396
Weight: 794 g
Dimensions: 235 x 159 x 36 mm
"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.."