SICP Study

Highlights

Foreword

Notes

Every computer program is a model, hatched in the mind, of a real or mental process. These processes, arising from human experience and thought, are huge in number, intricate in detail, and at any time only partially understood. They are modeled to our permanent satisfaction rarely by our computer programs. Thus even though our programs are carefully handcrafted discrete collections of symbols, mosaics of interlocking functions, they continually evolve: we change them as our perception of the model deepens, enlarges, generalizes until the model ultimately attains a metastable place within still another model with which we struggle. The source of the exhilaration associated with computer programming is the continual unfolding within the mind and on the computer of mechanisms expressed as programs and the explosion of perception they generate. Alan J. Perlis

Preface

Notes

A computer language is not just a way of getting a computer to perform operations but rather … it is a novel formal medium for expressing ideas about methodology. Thus, programs must be written for people to read, and only incidentally for machines to execute. (Preface)

Notes

Underlying our approach to this subject is our conviction that “computer science” is not a science and that its significance has little to do with computers. (Preface)

1 Building Abstractions with Procedures

Notes

In the words of Alan Perlis, “Syntactic sugar causes cancer of the semicolon. (Footnote 1.11)

Notes

Numbers that fool the Fermat test are called Carmichael numbers, and little is known about them other than that they are extremely rare. … In testing primality of very large numbers chosen at random, the chance of stumbling upon a value that fools the Fermat test is less than the chance that cosmic radiation will cause the computer to make an error in carrying out a “correct” algorithm. Considering an algorithm to be inadequate for the first reason but not for the second illustrates the difference between mathematics and engineering. (Footnote 1.47)

Notes

In general, there are many ways to formulate a process as a procedure. Experienced programmers know how to choose procedural formulations that are particularly perspicuous, and where useful elements of the process are exposed as separate entities that can be reused in other applications. (Section 1.3.4)

2 Building Abstractions with Data

Notes

One of the reasons for the success of Lisp as a programming language is that lists provide a standard medium for expressing ordered collections so that they can be manipulated using higher-order operations. The programming language APL owes much of its power and appeal to a similar choice. In APL all data are represented as arrays, and there is a universal and convenient set of generic operators for all sorts of array operations. (Footnote 2.15)

Notes

Stratified design helps make programs robust, that is, it makes it likely that small changes in a specification will require correspondingly small changes in the program. … In general, each level of a stratified design provides a different vocabulary for expressing the characteristics of the system, and a different kind of ability to change it. (Section 2.2.4)

Notes

Developing a useful, general framework for expressing the relations among different types of entities (what philosophers call “ontology”) seems intractably difficult. The main difference between the confusion that existed ten years ago and the confusion that exists now is that now a variety of inadequate ontological theories have been embodied in a plethora of correspondingly inadequate programming languages. For example, much of the complexity of object-oriented programming languages—and the subtle and confusing differences among contemporary object-oriented languages—centers on the treatment of generic operations on interrelated types. (Footnote 2.52)

3 Modularity, Objects, and State

Notes

Introducing assignment into our programming language leads us into a thicket of difficult conceptual issues. Nevertheless, viewing systems as collections of objects with local state is a powerful technique for maintaining a modular design. (Section 3.1.2)

Notes

In general, programming with assignment forces us to carefully consider the relative orders of the assignments to make sure that each statement is using the correct version of the variables that have been changed. This issue simply does not arise in functional programs. (Section 3.1.3)

In view of this, it is ironic that introductory programming is most often taught in a highly imperative style. This may be a vestige of a belief, common throughout the 1960s and 1970s, that programs that call procedures must inherently be less efficient than programs that perform assignments. … Alternatively it may reflect a view that step-by-step assignment is easier for beginners to visualize than procedure call. Whatever the reason, it often saddles beginning programmers with “should I set this variable before or after that one” concerns that can complicate programming and obscure the important ideas. (Footnote 3.11)

Notes

The truth of the matter is that, in a language in which we can deal with procedures as objects, there is no fundamental difference between “procedures” and “data, and we can choose our syntactic sugar to allow us to program in whatever style we choose. (Footnote 3.27)

Notes

We can model the world as a collection of separate, time-bound, interacting objects with state, or we can model the world as a single, timeless, stateless unity. Each view has powerful advantages, but neither view alone is completely satisfactory. A grand unification has yet to emerge. (Section 3.5.5)

The object model approximates the world by dividing it into separate pieces. The functional model does not modularize along object boundaries. The object model is useful when the unshared state of the “objects” is much larger than the state that they share. An example of a place where the object viewpoint fails is quantum mechanics, where thinking of things as individual particles leads to paradoxes and confusions. Unifying the object view with the functional view may have little to do with programming, but rather with fundamental epistemological issues. (Footnote 3.76)

4 Metalinguistic Abstraction

Notes

We must constantly turn to new languages in order to express our ideas more effectively. Establishing new languages is a powerful strategy for controlling complexity in engineering design; we can often enhance our ability to deal with a complex problem by adopting a new language that enables us to describe (and hence to think about) the problem in a different way, using [terms] that are particularly well suited to the problem at hand. (Chapter 4)

Notes

It is no exaggeration to regard this as the most fundamental idea in programming: The evaluator, which determines the meaning of expressions in a programming language, is just another program. (Chapter 4)

Notes

We can regard the evaluator as a very special machine that takes as input a description of a machine. Given this input, the evaluator configures itself to emulate the machine described. …

From this perspective, our evaluator is seen to be a universal machine. It mimics other machines when these are described as Lisp programs. This is striking. Try to imagine an analogous evaluator for electrical circuits. This would be a circuit that takes as input a signal encoding the plans for some other circuit, such as a filter. Given this input, the circuit evaluator would then behave like a filter with the same description. Such a universal electrical circuit is almost unimaginably complex. It is remarkable that the program evaluator is a rather simple program. (Section 4.1.5)

Some people find it counterintuitive that an evaluator, which is implemented by a relatively simple procedure, can emulate programs that are more complex than the evaluator itself. The existence of a universal evaluator machine is a deep and wonderful property of computation. Recursion theory, a branch of mathematical logic, is concerned with logical limits of computation. Douglas Hofstadter’s beautiful book Gödel, Escher, Bach (1979) explores some of these ideas. (Footnote 4.20)

Notes

The word thunk was invented by an informal working group that was discussing the implementation of call-by-name in Algol 60. They observed that most of the analysis of (“thinking about”) the expression could be done at compile time; thus, at run time, the expression would already have been “thunk” about. (Footnote 4.34)