Cargando…

Lambda-calculus and combinators, an introduction /

"In this up-to-date account of the subject, the grammar and basic properties of both combinatory logic and [lambda]-calculus are discussed, followed by an introduction to type-theory. Typed and untyped versions of the systems, and their differences, are covered. [lambda]-calculus models, which...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hindley, J. Roger
Otros Autores: Seldin, J. P.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2008.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface; 1. The lambda-calculus; 2. Combinatory logic; 3. The power of lambda and combinations; 4. Representing the computable functions; 5. Undecidability theorem; 6. Formal theories; 7. Extensionality in lambda-calculus; 8. Extensionality in CL; 9. Correspondence between lambda and CL; 10. Simple typing, Church-style; 11. Simple typing, Curry-style in CL; 12. Simple typing, Curry-style in lambda; 13. Generalizations of typing; 14. Models of CL; 15. Models of lambda-calculus; 16. Scott's D and other models; Appendix A1. Bound variables and alpha-conversion; Appendix A2. Confluence proofs; Appendix A3. Strong normalization proofs; Appendix A4. Care of your pet combinator; Appendix A5. Answers to starred exercises; Bibliography; Index.