Simple Type Theory: A Practical Logic for Expressing and Reasoning About Mathematical Ideas

The book is an introduction to , a classical higher-order version of predicate logic that extends first-order logic. It presents a practice-oriented logic called that is based on Alonzo Church's formulation of simple type theory known as . Unlike traditional predicate logics, Alonzo admits undefined expressions. The book illustrates, using Alonzo, how simple type theory is suited ideally for reasoning about mathematical structures and constructing libraries of mathematical knowledge. Topics and features: Aimed at students of computing and mathematics at the graduate or upper-undergraduate level, this book is also well-suited for mathematicians, computing professionals, engineers, and scientists who need a logic for expressing and reasoning about mathematical ideas. William M. Farmer is a Professor in the Department of Computing and Software at McMaster University in Hamilton, Ontario, Canada.