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Types for Proofs and Programs

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Cover of 'Types for Proofs and Programs'

Table of Contents

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    Book Overview
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    Chapter 1 Weyl’s Predicative Classical Mathematics as a Logic-Enriched Type Theory
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    Chapter 2 Crafting a Proof Assistant
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    Chapter 3 On Constructive Cut Admissibility in Deduction Modulo
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    Chapter 4 Fast Reflexive Arithmetic Tactics the Linear Case and Beyond
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    Chapter 5 Combining de Bruijn Indices and Higher-Order Abstract Syntax in Coq
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    Chapter 6 Deciding Equality in the Constructor Theory
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    Chapter 7 A Formalisation of a Dependently Typed Language as an Inductive-Recursive Family
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    Chapter 8 Truth Values Algebras and Proof Normalization
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    Chapter 9 Curry-Style Types for Nominal Terms
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    Chapter 10 (In)consistency of Extensions of Higher Order Logic and Type Theory
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    Chapter 11 Constructive Type Classes in Isabelle
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    Chapter 12 Zermelo’s Well-Ordering Theorem in Type Theory
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    Chapter 13 A Finite First-Order Theory of Classes
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    Chapter 14 Coinductive Correctness of Homographic and Quadratic Algorithms for Exact Real Numbers
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    Chapter 15 Using Intersection Types for Cost-Analysis of Higher-Order Polymorphic Functional Programs
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    Chapter 16 Subset Coercions in Coq
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    Chapter 17 A Certified Distributed Security Logic for Authorizing Code
Attention for Chapter 13: A Finite First-Order Theory of Classes
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Summary
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Chapter title
A Finite First-Order Theory of Classes
Chapter number 13
Book title
Types for Proofs and Programs
Published in
Lecture notes in computer science, April 2006
DOI 10.1007/978-3-540-74464-1_13
Book ISBNs
978-3-54-074463-4, 978-3-54-074464-1
Authors

Florent Kirchner, Kirchner, Florent

Editors

Thorsten Altenkirch, Conor McBride

View on publisher site

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