01262nam2 22003011i 450 VAN0004452820240806100431.72902-01-56943-420060420d1993 |0itac50 baengUS|||| |||||ˆ2 :‰Computer and robot visionRobert M. Haralick, Linda ShapiroReading [etc.]Addison-Wesleyc1993X, 630 p.ill.25 cm001VAN000445202001 Computer and robot visionRobert M. Haralick, Linda G. Shapiro210 ReadingAddison-Wesley215 volumi25 cm2USReading <Mass.>VANL002298621.39921HaralickRobert M.VANV035904730647ShapiroLinda G.VANV035906120767Addison Wesley <editore>VANV107961650Haralick, R. M.Haralick, Robert M.VANV035905ITSOL20240906RICABIBLIOTECA DEL DIPARTIMENTO DI INGEGNERIAIT-CE0100VAN05VAN00044528BIBLIOTECA DEL DIPARTIMENTO DI INGEGNERIA05PREST E 466 05UBI1985 20240603 BuonoComputer and robot vision1406197UNICAMPANIA04420nam 22006615 450 991099968770332120250423130212.03-031-85352-010.1007/978-3-031-85352-4(CKB)38586596600041(DE-He213)978-3-031-85352-4(MiAaPQ)EBC32027700(Au-PeEL)EBL32027700(EXLCZ)993858659660004120250423d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierSimple Type Theory A Practical Logic for Expressing and Reasoning About Mathematical Ideas /by William M. Farmer2nd ed. 2025.Cham :Springer Nature Switzerland :Imprint: Birkhäuser,2025.1 online resource (XXIX, 319 p. 11 illus., 5 illus. in color.) Computer Science Foundations and Applied Logic,2731-57623-031-85351-2 Chapter 1 Introduction -- Chapter 2 Answers to Readers’ Questions -- Chapter 3 Preliminary Concepts -- Chapter 4 Syntax -- Chapter 5 Semantics -- Chapter 6 Additional Notation -- Chapter 7 Beta-reduction and Substitution -- Chapter 8 Proof Systems -- Chapter 9 Theories -- Chapter 10 Inductive Sets and Types -- Chapter 11 Sequences -- Chapter 12 Developments -- Chapter 13 Real Number Mathematics -- Chapter 14 Morphisms -- Chapter 15 Alonzo Variants -- Chapter 16 Software Support.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. .Computer Science Foundations and Applied Logic,2731-5762Computer scienceSet theoryMathematical logicComputational complexityReasoningComputer Science Logic and Foundations of ProgrammingSet TheoryMathematical Logic and FoundationsComputational ComplexityFormal ReasoningComputer science.Set theory.Mathematical logic.Computational complexity.Reasoning.Computer Science Logic and Foundations of Programming.Set Theory.Mathematical Logic and Foundations.Computational Complexity.Formal Reasoning.004.0151Farmer William Mauthttp://id.loc.gov/vocabulary/relators/aut1357617MiAaPQMiAaPQMiAaPQBOOK9910999687703321Simple type theory3364018UNINA