Lambda calculus with types

Lambda calculus with types

by Barendregt, H. P., (Hendrik Pieter)

Type Book
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"This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. ... In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. ... The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using …

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Title Statements

  • Full title :Lambda calculus with types / Henk Barendregt, Wil Dekkers, Richard Statman ; with contributions from Fabio Alessi [and others].

Summary

"This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. ... In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. ... The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types."--Page 4 of cover.

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Edition Statements

  • Publication Date:2013.

Publication Statements

Notes

"Association for Symbolic Logic."

The Physical Object

  • Description:xxii, 833 pages : : illustrations ; : 26 cm.

Edition Identifiers

  • ISBN:9780521766142, 0521766141
  • oclc:ocn852197712
  • LC Classification:QA9.5
  • Dewey Decimal:511.35

Table of Contents

Introduction -- Part 1. Simple types. The simply typed lambda calculus -- Properties -- Tools -- Definability, unification and matching -- Extensions -- Applications -- Part II. Recursive types. The systems -- Properties of recursive types -- Properties of terms with types -- Models -- Applications -- Part III. Intersection types. An example system -- Type assignment systems -- Basic properties of intersection type assignment -- Type and lambda structures -- Filter models -- Advanced properties and applications.

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