Simple Type Theory A Practical Logic for Expressing and Reasoning About Mathematical Ideas /

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 lo...

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Autor principal: Farmer, William M. (Autor)
Autor corporatiu: SpringerLink (Online service)
Format: Electrònic eBook
Idioma:anglès
Publicat: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Edició:2nd ed. 2025.
Col·lecció:Computer Science Foundations and Applied Logic,
Matèries:
Accés en línia:https://doi.org/10.1007/978-3-031-85352-4
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Taula de continguts:
  • 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.