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Simple Type Theory: A Practical Logic for Expressing and Reasoning About Mathematical Ideas (Computer Science Foundations and Applied Logic) - Softcover

 
9783031211140: Simple Type Theory: A Practical Logic for Expressing and Reasoning About Mathematical Ideas (Computer Science Foundations and Applied Logic)
  • PublisherBirkhäuser
  • Publication date2024
  • ISBN 10 3031211146
  • ISBN 13 9783031211140
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages312

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9783031211119: Simple Type Theory: A Practical Logic for Expressing and Reasoning About Mathematical Ideas (Computer Science Foundations and Applied Logic)

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 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 logicProvides the reader with a logic that is close to mathematical practicePresents the tools needed to build libraries of mathematical knowledgeEmploys two semantics, one for mathematics and one for logicEmphasizes the model-theoretic view of predicate logicIncludes several important topics, such as definite description and theory morphisms, not usually found in standard logic textbooksAimed 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 apracticallogic for expressing and reasoning about mathematical ideas.William M. Farmeris a Professor in the Department of Computing and Software at McMaster University in Hamilton, Ontario, Canada. 295 pp. Englisch. Seller Inventory # 9783031211140

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 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 logicProvides the reader with a logic that is close to mathematical practicePresents the tools needed to build libraries of mathematical knowledgeEmploys two semantics, one for mathematics and one for logicEmphasizes the model-theoretic view of predicate logicIncludes several important topics, such as definite description and theory morphisms, not usually found in standard logic textbooksAimed 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 apracticallogic for expressing and reasoning about mathematical ideas.William M. Farmeris a Professor in the Department of Computing and Software at McMaster University in Hamilton, Ontario, Canada. Seller Inventory # 9783031211140

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