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A Modern Perspective on Type Theory

Part of the Applied Logic Series Book Series (volume 29)

DOI: 10.1007/1-4020-2335-9

ISBN: 978-1-4020-2334-7

Publisher: Springer Netherlands - Springer Journals

Jan 1, 2005

1 - 10 of 11 Chapters

Available

Introduction

Pages: 1 –6
Available

Prehistory

Pages: 3 –18
Available

Type theory in Principia Mathematica

Pages: 19 –67
Available

Deramification

Pages: 69 –101
Available

Propositions as Types and Pure Type Systems

Pages: 105 –123
Available

The pre-PAT RTT and STT in PAT-style

Pages: 125 –152
Available

A Correspondence between RTT and the system Nuprl

Pages: 153 –177
Available

Automath

Pages: 179 –230
Available

Pure Type Systems with definitions

Pages: 233 –241

[When comparing λ68 to other type systems with definitions, we find an important difference. In λ68, the correspondence between types of definiendum and definiens differs from the similar correspondence in the systems in [137] and [14].]
Available

The Barendregt cube with parameters

Pages: 243 –254

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