Practical Foundations for Programming Languages

by Robert Harper

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Book Description

Types are the central organizing principle of the theory of programming languages. Language features are manifestations of type structure. The syntax of a language is governed by the constructs that define its types, and its semantics is determined by the interactions among those constructs. The soundness of a language design - the absence of ill-defined programs-follows naturally. The purpose of this book is to explain this remark. A variety of programming language features are analyzed in the unifying framework of type theory. A language feature is defined by its statics, the rules governing the use of the feature in a program, and its dynamics, the rules defining how programs using this feature are to be executed. The concept of safety emerges as the coherence of the statics and the dynamics of a language.

In this way we establish a foundation for the study of programming languages. But why these particular methods? The main justification is provided by the book itself. The methods we use are both precise and intuitive, providing a uniform framework for explaining programming language concepts. Importantly, these methods scale to a wide range of programming language concepts, supporting rigorous analysis of their properties. Although it would require another book in itself to justify this assertion, these methods are also practical in that they are directly applicable to implementation and uniquely effective as a basis for mechanized reasoning. No other framework offers as much.

This open book is licensed under a Creative Commons License (CC BY-NC-ND). You can download Practical Foundations for Programming Languages ebook for free in PDF format (3.0 MB).

Table of Contents

Part I
Judgments and Rules
Chapter 1
Syntactic Objects
Chapter 2
Inductive Definitions
Chapter 3
Hypothetical and General Judgments
Part II
Statics and Dynamics
Chapter 4
Chapter 5
Chapter 6
Type Safety
Chapter 7
Evaluation Dynamics
Part III
Function Types
Chapter 8
Function Definitions and Values
Chapter 9
Godel's T
Chapter 10
Plotkin's PCF
Part IV
Finite Data Types
Chapter 11
Product Types
Chapter 12
Sum Types
Chapter 13
Pattern Matching
Chapter 14
Generic Programming
Part V
Infinite Data Types
Chapter 15
Inductive and Co-Inductive Types
Chapter 16
Recursive Types
Part VI
Dynamic Types
Chapter 17
The Untyped -Calculus
Chapter 18
Dynamic Typing
Chapter 19
Hybrid Typing
Part VII
Variable Types
Chapter 20
Girard's System F
Chapter 21
Abstract Types
Chapter 22
Constructors and Kinds
Chapter 23
Chapter 24
Singleton Kinds
Part IX
Classes and Methods
Chapter 25
Dynamic Dispatch
Chapter 26
Part X
Exceptions and Continuations
Chapter 27
Control Stacks
Chapter 28
Chapter 29
Part XI
Types and Propositions
Chapter 30
Constructive Logic
Chapter 31
Classical Logic
Part XII
Chapter 32
Chapter 33
Fluid Binding
Chapter 34
Dynamic Classification
Chapter 35
Modernized Algol
Chapter 36
Assignable References
Part XIV
Chapter 37
Lazy Evaluation
Chapter 38
Part XV
Chapter 39
Nested Parallelism
Chapter 40
Futures and Speculations
Part XVI
Chapter 41
Process Calculus
Chapter 42
Concurrent Algol
Chapter 43
Distributed Algol
Chapter 44
Components and Linking
Chapter 45
Type Abstractions and Type Classes
Chapter 46
Hierarchy and Parameterization
Equational Reasoning
Chapter 47
Equational Reasoning for T
Chapter 48
Equational Reasoning for PCF
Chapter 49
Chapter 50
Process Equivalence
Part XIX
Appendix A
Finite Sets and Finite Functions

Book Details

Computer Science
Carnegie Mellon University
PDF Size
3.0 MB

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