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CATEGORIES TYPES Book Free Download

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CATEGORIES TYPES
AND STRUCTURES
An Introduction to Category Theory
for the working computer scientist
Andrea Asperti
Giuseppe Longo

Table of Contents

PART I: Categories and Structures

1 CATEGORIES

2 CONSTRUCTIONS

3 FUNCTORS AND NATURAL TRANSFORMATIONS

4 CATEGORIES DERIVED FROM FUNCTORS AND NATURAL TRANSFORMATIONS

5 UNIVERSAL ARROWS AND ADJUNCTIONS

6 CONES AND LIMITS

7 INDEXED AND INTERNAL CATEGORIES

PART II: Types as Objects

8 FORMULAE, TYPES, AND OBJECTS

9 REFLEXIVE OBJECTS AND THE TYPE-FREE LAMBDA CALCULUS

10 RECURSIVE DOMAIN EQUATIONS

11 SECOND ORDER LAMBDA CALCULUS

12 EXAMPLES OF INTERNAL MODELS

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