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6.001 Structure and Interpretation of Computer Programs

Course Highlights
This course features projects and supporting documentation. This course has virtually all of its course materials online. 6.001 is the first course in the core of departmental subjects which is required for all undergraduates in Electrical Engineering and Computer Science. It offers an online version of the textbook for the course, Structure and Interpretation of Computer Programs, 2nd ed., by Abelson, Sussman, and Sussman.
Course Description
This course introduces students to the principles of computation. Upon completion of 6.001, students should be able to explain and apply the basic methods from programming languages to analyze computational systems, and to generate computational solutions to abstract problems. Substantial weekly programming assignments are an integral part of the course. This course is worth 4 Engineering Design Points.

This book is dedicated, in respect and admiration, to the spirit that lives in the computer.

``I think that it's extraordinarily important that we in computer science keep fun in computing. When it started out, it was an awful lot of fun. Of course, the paying customers got shafted every now and then, and after a while we began to take their complaints seriously. We began to feel as if we really were responsible for the successful, error-free perfect use of these machines. I don't think we are. I think we're responsible for stretching them, setting them off in new directions, and keeping fun in the house. I hope the field of computer science never loses its sense of fun. Above all, I hope we don't become missionaries. Don't feel as if you're Bible salesmen. The world has too many of those already. What you know about computing other people will learn. Don't feel as if the key to successful computing is only in your hands. What's in your hands, I think and hope, is intelligence: the ability to see the machine as more than when you were first led up to it, that you can make it more.''

Alan J. Perlis (April 1, 1922-February 7, 1990)
 
Contents

Foreword

Preface to the Second Edition

Preface to the First Edition

Acknowledgments

1 Building Abstractions with Procedures
1.1 The Elements of Programming
1.1.1 Expressions
1.1.2 Naming and the Environment
1.1.3 Evaluating Combinations
1.1.4 Compound Procedures
1.1.5 The Substitution Model for Procedure Application
1.1.6 Conditional Expressions and Predicates
1.1.7 Example: Square Roots by Newton's Method
1.1.8 Procedures as Black-Box Abstractions
1.2 Procedures and the Processes They Generate
1.2.1 Linear Recursion and Iteration
1.2.2 Tree Recursion
1.2.3 Orders of Growth
1.2.4 Exponentiation
1.2.5 Greatest Common Divisors
1.2.6 Example: Testing for Primality
1.3 Formulating Abstractions with Higher-Order Procedures
1.3.1 Procedures as Arguments
1.3.2 Constructing Procedures Using Lambda
1.3.3 Procedures as General Methods
1.3.4 Procedures as Returned Values

2 Building Abstractions with Data
2.1 Introduction to Data Abstraction
2.1.1 Example: Arithmetic Operations for Rational Numbers
2.1.2 Abstraction Barriers
2.1.3 What Is Meant by Data?
2.1.4 Extended Exercise: Interval Arithmetic
2.2 Hierarchical Data and the Closure Property
2.2.1 Representing Sequences
2.2.2 Hierarchical Structures
2.2.3 Sequences as Conventional Interfaces
2.2.4 Example: A Picture Language
2.3 Symbolic Data
2.3.1 Quotation
2.3.2 Example: Symbolic Differentiation
2.3.3 Example: Representing Sets
2.3.4 Example: Huffman Encoding Trees
2.4 Multiple Representations for Abstract Data
2.4.1 Representations for Complex Numbers
2.4.2 Tagged data
2.4.3 Data-Directed Programming and Additivity
2.5 Systems with Generic Operations
2.5.1 Generic Arithmetic Operations
2.5.2 Combining Data of Different Types
2.5.3 Example: Symbolic Algebra

3 Modularity, Objects, and State
3.1 Assignment and Local State
3.1.1 Local State Variables
3.1.2 The Benefits of Introducing Assignment
3.1.3 The Costs of Introducing Assignment
3.2 The Environment Model of Evaluation
3.2.1 The Rules for Evaluation
3.2.2 Applying Simple Procedures
3.2.3 Frames as the Repository of Local State
3.2.4 Internal Definitions
3.3 Modeling with Mutable Data
3.3.1 Mutable List Structure
3.3.2 Representing Queues
3.3.3 Representing Tables
3.3.4 A Simulator for Digital Circuits
3.3.5 Propagation of Constraints
3.4 Concurrency: Time Is of the Essence
3.4.1 The Nature of Time in Concurrent Systems
3.4.2 Mechanisms for Controlling Concurrency
3.5 Streams
3.5.1 Streams Are Delayed Lists
3.5.2 Infinite Streams
3.5.3 Exploiting the Stream Paradigm
3.5.4 Streams and Delayed Evaluation
3.5.5 Modularity of Functional Programs and Modularity of Objects

4 Metalinguistic Abstraction
4.1 The Metacircular Evaluator
4.1.1 The Core of the Evaluator
4.1.2 Representing Expressions
4.1.3 Evaluator Data Structures
4.1.4 Running the Evaluator as a Program
4.1.5 Data as Programs
4.1.6 Internal Definitions
4.1.7 Separating Syntactic Analysis from Execution
4.2 Variations on a Scheme -- Lazy Evaluation
4.2.1 Normal Order and Applicative Order
4.2.2 An Interpreter with Lazy Evaluation
4.2.3 Streams as Lazy Lists
4.3 Variations on a Scheme -- Nondeterministic Computing
4.3.1 Amb and Search
4.3.2 Examples of Nondeterministic Programs
4.3.3 Implementing the Amb Evaluator
4.4 Logic Programming
4.4.1 Deductive Information Retrieval
4.4.2 How the Query System Works
4.4.3 Is Logic Programming Mathematical Logic?
4.4.4 Implementing the Query System

5 Computing with Register Machines
5.1 Designing Register Machines
5.1.1 A Language for Describing Register Machines
5.1.2 Abstraction in Machine Design
5.1.3 Subroutines
5.1.4 Using a Stack to Implement Recursion
5.1.5 Instruction Summary
5.2 A Register-Machine Simulator
5.2.1 The Machine Model
5.2.2 The Assembler
5.2.3 Generating Execution Procedures for Instructions
5.2.4 Monitoring Machine Performance
5.3 Storage Allocation and Garbage Collection
5.3.1 Memory as Vectors
5.3.2 Maintaining the Illusion of Infinite Memory
5.4 The Explicit-Control Evaluator
5.4.1 The Core of the Explicit-Control Evaluator
5.4.2 Sequence Evaluation and Tail Recursion
5.4.3 Conditionals, Assignments, and Definitions
5.4.4 Running the Evaluator
5.5 Compilation
5.5.1 Structure of the Compiler
5.5.2 Compiling Expressions
5.5.3 Compiling Combinations
5.5.4 Combining Instruction Sequences
5.5.5 An Example of Compiled Code
5.5.6 Lexical Addressing
5.5.7 Interfacing Compiled Code to the Evaluator

References

List of Exercises

Index