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  2. Matematikkens fundament
  3. Matematisk logik

Simple Type Theory

- A Practical Logic for Expressing and Reasoning About Mathematical Ideas
Af: William M. Farmer Engelsk Hardback

Simple Type Theory

- A Practical Logic for Expressing and Reasoning About Mathematical Ideas
Af: William M. Farmer Engelsk Hardback
Tjek vores konkurrenters priser
This unique textbook, in contrast to a standard logic text, provides the reader with a logic that actually 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.

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
  • Presents the tools needed to build libraries of mathematical knowledge
  • Employs two semantics, one for mathematics and one for logic
  • Emphasizes the model-theoretic view of predicate logic
  • Includes several important topics, such as definite description and theory morphisms, not usually found in standard logic textbooks

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 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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Tjek vores konkurrenters priser
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Tjek vores konkurrenters priser
This unique textbook, in contrast to a standard logic text, provides the reader with a logic that actually 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.

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
  • Presents the tools needed to build libraries of mathematical knowledge
  • Employs two semantics, one for mathematics and one for logic
  • Emphasizes the model-theoretic view of predicate logic
  • Includes several important topics, such as definite description and theory morphisms, not usually found in standard logic textbooks

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 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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 295
ISBN-13: 9783031211119
Indbinding: Hardback
Udgave:
ISBN-10: 3031211111
Kategori: Matematisk logik
Udg. Dato: 2 jan 2023
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Birkhauser Verlag AG
Oplagsdato: 2 jan 2023
Forfatter(e): William M. Farmer
Forfatter(e) William M. Farmer

Kategori Matematisk logik

ISBN-13 9783031211119

Sprog Engelsk

Indbinding Hardback

Sider 295

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 2 jan 2023

Oplagsdato 2 jan 2023

Forlag Birkhauser Verlag AG