The Foundations of Computability Theory

This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Robič, Borut (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Computer science.
Computer science-Mathematics.
Mathematics-Data processing.
Theory of Computation.
Mathematics of Computing.
Computational Mathematics and Numerical Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • The Foundational Crisis of Mathematics
  • Formalism
  • Hilbert's Attempt at Recovery
  • The Quest for a Formalization
  • The Turing Machine
  • The First Basic Results
  • Incomputable Problems
  • Methods of Proving the Incomputability
  • Computation with External Help
  • Degrees of Unsolvability
  • The Turing Hierarchy of Unsolvability
  • The Class D of Degrees of Unsolvability
  • C.E. Degrees and the Priority Method
  • The Arithmetical Hierarchy
  • Further Reading
  • App. A, Mathematical Background
  • References
  • Index.

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