This unique textbook, in contrast to a standard logic text, provides the reader with a logic that actually can beusedin practice to express and reason about mathematical ideas.The book is an introduction tosimple type theory, a classical higher-order version of predicate logic that extends first-order logic. It presents a practice-oriented logic calledAlonzothat is based on Alonzo Church's formulation of simple type theory known asChurch's type theory. Unlike traditional predicate logics, Alonzo admits undefined expressions. The book illustrates, using Alonzo, how simple type theory is suited...
This unique textbook, in contrast to a standard logic text, provides the reader with a logic that actually can beusedin practice to express and reason...
Logicians have developed beautiful algorithmic techniques for the construction of computably enumerable sets. This textbook presents these techniques in a unified way that should appeal to computer scientists.Specifically, the book explains, organizes, and compares various algorithmic techniques used in computability theory (which was formerly called "classical recursion theory"). This area of study has produced some of the most beautiful and subtle algorithms ever developed for any problems. These algorithms are little-known outside of a niche within the mathematical logic...
Logicians have developed beautiful algorithmic techniques for the construction of computably enumerable sets. This textbook presents these techniqu...
