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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 58 Implicit coercions in type systems
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    Chapter 59 A two-level approach towards lean proof-checking
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    Chapter 60 The greatest common divisor: A case study for program extraction from classical proofs
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    Chapter 61 Extracting a proof of coherence for monoidal categories from a proof of normalization for monoids
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    Chapter 62 A constructive proof of the Heine-Borel covering theorem for formal reals
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    Chapter 63 An application of constructive completeness
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    Chapter 64 Automating inversion of inductive predicates in Coq
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    Chapter 65 First order marked types
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    Chapter 66 Internal type theory
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    Chapter 67 An application of co-inductive types in Coq: Verification of the alternating bit protocol
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    Chapter 68 Conservativity of equality reflection over intensional type theory
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    Chapter 69 A natural deduction approach to dynamic logic
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    Chapter 70 An algorithm for checking incomplete proof objects in type theory with localization and unification
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    Chapter 71 Decidability of all minimal models
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    Chapter 72 Circuits as streams in Coq: Verification of a sequential multiplier
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    Chapter 73 Context-relative syntactic categories and the formalization of mathematical text
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    Chapter 74 A simple model construction for the Calculus of Constructions
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    Chapter 75 Optimized encodings of fragments of type theory in first order logic
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    Chapter 76 Organization and development of a constructive axiomatization
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Title
Types for Proofs and Programs
Published by
Springer Science & Business Media, October 1996
DOI 10.1007/3-540-61780-9
ISBNs
978-3-54-061780-8, 978-3-54-070722-6
Editors

Berardi, Stefano, Coppo, Mario

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