Simple Type Theory A Practical Logic for Expressing and Reasoning About Mathematical Ideas
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- Hardcover
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Sprache:Englisch
64,99 €
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
24.04.2026
Abbildungen
XXIX, 319 p. 11 illus., 5 illus. in color.
Verlag
SpringerSeitenzahl
319
Maße (L/B/H)
23,5/15,5/2 cm
Gewicht
534 g
Auflage
Second Edition 2025
Sprache
Englisch
ISBN
978-3-031-85354-8
This unique textbook, in contrast to a standard logic text, provides the reader with a logic that can be
used
in practice to express and reason about mathematical ideas. The book is an introduction to
simple type theory
, a classical higher-order version of predicate logic that extends first-order logic.
It presents a practice-oriented logic called
Alonzo
that is based on Alonzo Church's formulation of simple type theory known as
Church's type theory
. 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. For this
second edition
, more than 400 additions, corrections, and improvements have been made, including a new chapter on inductive sets and types.
Topics and features:
· Offers the first book-length introduction to simple type theory as a predicate logic
· Provides the reader with a logic that is close to mathematical practice
· Includes a module system for building libraries of mathematical knowledge
· Employs two semantics, one for mathematics and one for logic
· Emphasizes the model-theoretic view of predicate logic
· Presents several important topics, such as definite description and theory morphisms, not usually found in standard logic textbooks
Aimed at students of mathematics and computing at the graduate or upper-undergraduate level, this book is well suited for mathematicians, computing professionals, engineers, and scientists who need a
practical
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.
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