Combinators, -Terms and Proof Theory.pdf

Combinators, -Terms and Proof Theory PDF

S. Stenlund

The aim of this monograph is to present some of the basic ideas and results in pure combinatory logic and their applications to some topics in proof theory, and also to present some work of my own. Some of the material in chapter 1 and 3 has already appeared in my notes Introduction to Combinatory Logic. It appears here in revised form since the presen­ tation in my notes is inaccurate in several respects. I would like to express my gratitude to Stig Kanger for his invalu­ able advice and encouragement and also for his assistance in a wide variety of matters concerned with my study in Uppsala. I am also in­ debted to Per Martin-USf for many valuable and instructive conversa­ tions. As will be seen in chapter 4 and 5, I also owe much to the work of Dag Prawitz and W. W. Tait. My thanks also to Craig McKay who read the manuscript and made valuable suggestions. I want, however, to emphasize that the shortcomings that no doubt can be found, are my sole responsibility. Uppsala, February 1972.

Proof theory of arithmetic The goal of this chapter is to present some in a sense \most complex" proofs that can be done in rst-order arithmetic. The main tool for proving theorems in arithmetic is clearly the induction schema A(0) !8 x(A(x) !A(Sx)) !8 xA(x): Here A(x) … (ebook) Combinators, I -Terms and Proof Theory ...

9401029156 ISBN
Englisch SPRACHE
Combinators, -Terms and Proof Theory.pdf


PC und Mac

Lesen Sie das eBook direkt nach dem Herunterladen über "Jetzt lesen" im Browser, oder mit der kostenlosen Lesesoftware Adobe Digital Editions.

iOS & Android

Für Tablets und Smartphones: Unsere Gratis tolino Lese-App

Andere eBook Reader

Laden Sie das eBook direkt auf dem Reader im herunter oder übertragen Sie es mit der kostenlosen Software Sony READER FOR PC/Mac oder Adobe Digital Editions.


Öffnen Sie das eBook nach der automatischen Synchronisation auf dem Reader oder übertragen Sie es manuell auf Ihr tolino Gerät mit der kostenlosen Software Adobe Digital Editions.

Aktuelle Bewertungen

Sofia Voigt

Probability and combinatorics | Probability and Statistics | Khan Academy ... Possible three letter words ... Is there any proof that 0 factorial equals 1? ... What are the terms and conditions for such a scenario when x! is equal to y! ... factorial function to rational numbers (aside from the negative integers)? In theory, yes, but we ...

Matteo Müller

Introduction to Combinators and Lambda-Calculus. Book · September 1986 with 1,731 Reads How we measure 'reads' A 'read' is counted each time someone views a publication summary (such as the title Combinators, λ-Terms and Proof Theory …

Noel Schulze

Combinators, λ-Terms and Proof Theory: …

Jason Lehmann

Noté /5. Retrouvez Combinators, Terms and Proof Theory et des millions de livres en stock sur Achetez neuf ou d'occasion

Jessica Kohmann

On a Uniform Representation of Combinators, … variants, combinators. Lambda terms provide a foundation to mod-ern functional languages, type theory and proof assistants and have been lately incorporated into mainstream programming languages including Java 8, C# and Apple’s Swift. While possibly one of the most heavily researched computational objects, lambda terms and