Lisp programming language
Lisp is a functional programming language family with a long history. Originally developed as a practical computation model (in comparison to Alan Turing's), it later became the favored artificial intelligence research language during the field's heyday in the 1970s and 1980s. Today, Lisp languages are used in many fields, from web development to finance , and are also common in computer science education.
The name Lisp derives from "List Processing". Linked lists are one of Lisp languages' major data structures, and identical basic list operations work in all Lisp dialects. Other common features in Lisp dialects include dynamic typing, functional programming support, and the ability to manipulate source code as data.
Lisp languages also have an instantly-recognizable appearance. Program code is written using the same syntax as lists – the parenthesized S-expression syntax. Every sub-expression in a program (or data structure) is set off with parentheses. This makes Lisp languages easy to parse, and also makes it simple to do metaprogramming – creating programs which write other programs. This is a major reason for its great popularity in the 70s and 80s, because artificial intelligence programmers believed that Lisp would lend itself naturally to self-propagating programs.
Originally specified in 1958, Lisp is the second-oldest high-level programming language in widespread use today; only Fortran is older. Like Fortran, Lisp has changed a great deal since its early days, and a number of dialects have existed over its history. Today, the most widely-known general-purpose Lisp dialects for programming are Common Lisp and Scheme.
Table of contents
Information Processing Language was the first AI language, from 1955 or 1956, and already included many of the concepts, such as list-processing and recursion, which came to be used in Lisp.
Lisp was invented by John McCarthy in 1958 while he was at MIT. McCarthy published its design in a paper in Communications of the ACM in 1960, entitled "Recursive Functions of Symbolic Expressions and Their Computation by Machine, Part I". (Part II was never published.) He showed that with a few simple operators and a notation for functions, one can build a whole programming language.
McCarthy's original notation used bracketed "M-expressions" externally. These were quickly abandoned in favor of the S-expressions which he originally proposed as an internal representation. As an example, the M-expression
car[cons[A,B]] is equivalent to the S-expression
(car (cons A B)).
Lisp was originally implemented by Steve Russell on an IBM 704 computer, and two assembly language macros for that machine became the primitive operations for decomposing lists:
car (Contents of Address of Register) and
cdr (Contents of Decrement of Register). Lisp dialects still use
cdr (pronounced: [kɑr] and ['kədər]) for the operations that return the first item in a list and the rest of the list respectively.
The first complete Lisp compiler, written in Lisp, was implemented in 1962 by Tim Hart and Mike Levin. (AI Memo 39, 767 kB PDF.) This compiler introduced the Lisp model of incremental compilation, in which compiled and interpreted functions can intermix freely. The language used in Hart and Levin's memo is much closer to modern Lisp style than McCarthy's earlier code.
Since its inception, Lisp was closely connected with the artificial intelligence research community. In the 1970s, as AI research spawned commercial offshoots, the performance of existing Lisp systems became a growing issue. Partly because of garbage collection and partly because of its representation of internal structures, Lisp became difficult to run on the memory-limited stock hardware of the day. This led to the creation of LISP machines: dedicated hardware for running Lisp environments and programs. Along with modern compiler construction techniques, today's gigantic computer capacities (by the standards of the 1970s) have made this specialization unnecessary and quite efficient Lisp environments now exist.
During the 1980s and 1990s, a great effort was made to unify the numerous Lisp dialects into a single language. The new language, Common Lisp, was essentially a superset of the dialects it replaced. In 1994, ANSI published the Common Lisp standard, "ANSI X3.226–1994 Information Technology Programming Language Common Lisp." By this time the world market for Lisp was much smaller than in its heyday.
Having declined somewhat in the 1990s, Lisp has experienced a regrowth of interest since 2000, partly due to the writings of Paul Graham. Most new activity is focused around open source implementations of Common Lisp, and includes the development of new portable libraries and applications.
The language is amongst the oldest programming languages still in use as of the time of writing in 2005. Algol, Fortran and COBOL are of a similar vintage, and Fortran and COBOL are also still being used.
The now-ubiquitous if-then-else structure, now taken for granted as an essential element of any programming language, was invented by McCarthy for use in Lisp, where it saw its first appearance. It was inherited by Algol, which popularized it.
Note: This article's examples are written in Common Lisp (though most are also valid Scheme).
Lisp is an expression-oriented language. Unlike most other languages, no distinction is made between "expressions" and "statements"; all code and data are written as expressions. When an expression is evaluated, it produces a value (or list of values), which then can be embedded into other expressions.
McCarthy's 1958 paper introduced two types of syntax: S-expressions (Symbolic Expressions), which are also called sexp's, and M-expressions (Meta Expressions), which express functions of S-expressions. M-expressions never found favour, and almost all Lisps today use S-expressions to manipulate both code and data.
The heavy use of parentheses in S-expressions has been criticized – one joke acronym for Lisp is "Lots of Irritating Superfluous Parentheses" – but the S-expression syntax is also responsible for much of Lisp's power: the syntax is extremely regular, which facilitates manipulation by computer.
The reliance on expressions gives the language great flexibility. Because Lisp functions are themselves written as lists, they can be processed exactly like data: allowing easy writing of programs which manipulate other programs (metaprogramming). Many Lisp dialects exploit this feature using macro systems, which enables extension of the language almost without limit.
A Lisp list is written with its elements separated by whitespace, and surrounded by parentheses. For example,
(1 2 "foo")
is a list whose elements are three atoms, the values
"foo". These values are implicitly typed: They are respectively two integers and a string, and do not have to be declared as such. The empty list
() is also represented as
Expressions are written as lists, using prefix notation. The first element in the list is the name of a form, i.e., a function, operator, macro, or "special operator" (see below.) The remainder of the list are the arguments. For example, the function
list returns its arguments as a list, so the expression
(list 1 2 "foo")
evaluates to the list
(1 2 "foo"). If any of the arguments are expressions, they are recursively evaluated before the enclosing expression is evaluated. For example,
(list 1 2 (list 3 4))
evaluates to the list
(1 2 (3 4)). Note that the third argument is a list; lists can be nested.
Arithmetic operators are treated similarly. The expression
(+ 1 2 3 4)
evaluates to 10. The equivalent under infix notation would be "
1 + 2 + 3 + 4".
"Special operators" (sometimes called "special forms" by older users) provide Lisp's control structure. For example, the special operator
if takes three arguments. If the first argument is non-nil, it evaluates to the second argument; otherwise, it evaluates to the third argument. Thus, the expression
(if nil (list 1 2 "foo") (list 3 4 "bar"))
(3 4 "bar"). (Of course, this would be more useful if a non-trivial expression had been substituted in place of
Another special operator,
lambda, is used to create functions. The arguments to
lambda are a list of arguments, and the expression or expressions that the function evaluates to (the return value is the value of the last expression to be evaluated). The expression
(lambda (arg) (+ arg 1))
is a function that takes one argument named
arg and returns the number one greater than its argument. Lambda expressions are treated no differently to named functions; they are invoked the same way. Therefore, the expression
((lambda (arg) (+ arg 1)) 5)
Conses and lists
A Lisp list is a singly-linked list. Each cell of this list is called a cons (or sometimes a pair, particularly in Scheme, because it contains two pointers), and is composed of two pointers, called the car and cdr respectively. These are equivalent to the
next fields discussed in the article linked list.
Of the many data structures that can be built out of singly-linked lists, one of the most basic is called a proper list. A proper list is either the special
nil (empty list) symbol, or a cons in which the
car points to a datum (which may be another cons structure, such as a list), and the
cdr points to another proper list.
If a given cons is taken to be the head of a linked list, then its car points to the first element of the list, and its cdr points to the rest of the list. For this reason, the
cdr functions are also called
rest when referring to conses which are part of a linked list (rather than, say, a tree).
Thus, a Lisp list is not an atomic object, as an instance of a container class in C++ or Java would be. A list is nothing more than an aggregate of linked conses. A variable which refers to a given list is simply a pointer to the first cons in the list. Traversal of a list can be done by "cdring down" the list; that is, taking successive cdrs to visit each cons of the list; or by using any of a number of higher-order functions to map a function over a list.
Parenthesized S-expressions represent linked list structure. There are several ways to represent the same list as an S-expression. A cons can be written in dotted-pair notation as
(a . b), where
a is the car and
b the cdr. A longer proper list might be written
(a . (b . (c . (d . nil)))) in dotted-pair notation. This is conventionally abbreviated as
(a b c d) in list notation. An improper list may be written in a combination of the two – as
(a b c . d) for the list of three conses whose last cdr is
d (i.e., the list
(a . (b . (c . d))) in fully-specified form).
Because conses and lists are so universal in Lisp systems, it is a common misconception that they are Lisp's only data structure. In fact, all but the most simplistic Lisps have other data structures – such as vectors (arrays), hash tables, structures, and so forth.
Lisp lists, being simple linked lists, can share structure with one another. That is to say, two lists can have the same tail, or final sequence of conses. For instance, after the execution of the following Common Lisp code:
(setq foo (list 'a 'b 'c)) (setq bar (cons 'x (cdr foo)))
(a b c) and
(x b c) respectively. However, the tail
(b c) is the same structure in both lists.
In many languages, the usual way to place the same data in two different structures is to copy it. Sharing structure rather than copying can give a dramatic performance improvement. However, this technique can interact in undesired ways with functions that alter lists passed to them as arguments. Altering one list, such as by replacing the
c with a
goose, will affect the other:
(setf (third foo) 'goose)
(a b goose), but also changes
(x b goose) – a possibly unexpected result. This can be a source of bugs, and functions which alter their arguments are documented as destructive for this very reason.
Aficionados of functional programming avoid destructive functions. In the Scheme dialect, which favors the functional style, the names of destructive functions are marked with a cautionary exclamation point, or "bang" — such as
set-car! (read set car bang), which replaces the car of a cons. In the Common Lisp dialect, destructive functions are commonplace; the equivalent of
set-car! is named
rplaca for "replace car" (though this function is rarely seen and more or less obsolete; modern code uses the
setf facility instead). In fact, Common Lisp includes a special facility,
setf, to make it easier to define and use destructive functions. A frequent style in Common Lisp is to write code functionally (without destructive calls) when prototyping, then to add destructive calls as an optimization where it is safe to do so.
Self-evaluating forms and quoting
Lisp evaluates expressions which are entered by the user. Symbols and lists evaluate to some other (usually, simpler) expression – for instance, a variable evaluates to its value;
(+ 2 3) evaluates to
5. However, most other forms evaluate to themselves. They are parsed by the
read function, but are left alone by
eval. Numbers and strings are this way: if you enter
5 into Lisp, you just get back the same
Any expression can also be marked to prevent it from being evaluated (as is necessary for symbols and lists). This is the role of the
quote special operator, or its abbreviation
' (a single quotation mark). For instance, usually if you enter the symbol
foo you will get back the value of that variable (or an error, if there is no such variable). If you wish to refer to the symbol itself, you enter
(quote foo) or, usually,
More complex forms of quoting are used with macros. For instance, both Common Lisp and Scheme support the backquote or quasiquote operator, entered with the
` character. This is almost the same as the plain quote, except it allows variables to be interpolated into a quoted list with the comma and comma-at operators. If the variable
snue has the value
(bar baz) then
`(foo ,snue) evaluates to
(foo (bar baz)), while
`(foo ,@snue) evaluates to
(foo bar baz). The backquote or quasiquote is most frequently used in defining macro expansions.
Self-evaluating forms and quoted forms are Lisp's equivalent of literals. However, they are not necessarily constants. In some Lisp dialects it is possible to modify the values of literals in program code. For instance, if a quoted form is used in the body of a function, and is changed as a side-effect, that function's behavior may differ on subsequent iterations. This is usually a bug, and is undefined behavior in some dialects. When behavior like this is intentional, using a closure is the explicit way to do it.
List structure of program code
A fundamental distinction between Lisp and other languages is that in Lisp, program code is not simply text. Parenthesized S-expressions, as depicted above, are the printed representation of Lisp code, but as soon as these are entered into a Lisp system they are translated by the parser (called the
read function) into linked list and tree structures in memory.
Lisp macros operate on these structures. Because Lisp code has the same structure as lists, macros can be built with any of the list-processing functions in the language. In short, anything that Lisp can do to a data structure, Lisp macros can do to code. In contrast, in most other languages the parser's output is purely internal to the language implementation and cannot be manipulated by the programmer. Macros in C, for instance, operate on the level of the preprocessor, before the parser is invoked, and cannot re-structure the program code in the way Lisp macros can.
In simplistic Lisp implementations, this list structure is directly interpreted to run the program; a function is literally a piece of list structure which is traversed by the interpreter in executing it. However, most actual Lisp systems (including all conforming Common Lisp systems) also include a compiler. The compiler translates list structure into machine code or (rarely) bytecode for execution.
Evaluation and the REPL
Lisp languages are frequently used with an interactive command line, which may be combined with an integrated development environment. The user types in expressions at the command line, or directs the IDE to transmit them to the Lisp system. Lisp reads the entered expressions, evaluates them, and prints the result. For this reason, the Lisp command line is called a "read-eval-print loop", or REPL.
The basic operation of the REPL is as follows. This is a simplistic description which omits many elements of a real Lisp, such as quoting and macros.
read function accepts textual S-expressions as input, and parses them into list structure. For instance, if you type the string
(+ 1 2) at the prompt,
read translates this into a linked list with three elements – the symbol
+, the number 1, and the number 2. It so happens that this list is also a valid piece of Lisp code; that is, it can be evaluated. This is because the car of the list names a function – the addition operation.
eval function evaluates list structure, returning some other piece of structure as a result. Evaluation does not have to mean interpretation; some Lisp systems compile every expression to native machine code. It is simple, however, to describe evaluation as interpretation: To evaluate a list whose car names a function,
eval first evaluates each of the arguments given in its cdr, then applies the function to the arguments. In this case, the function is addition, and applying it to the argument list
(1 2) yields the answer
3. This is the result of the evaluation.
It is the job of the
3 this is trivial. An expression which evaluated to a piece of list structure would require that
To implement a Lisp REPL, it is necessary only to implement these three functions and an infinite-loop function. (Naturally, the implementation of
eval will be complicated, since it must also implement all the primitive functions like
+ and special operators like
if.) This done, a basic REPL itself is but a single line of code:
(loop (print (eval (read)))).
Here are examples of Common Lisp code. While unlike Lisp programs used in industry, they are similar to Lisp as taught in computer science courses.
As the reader may have noticed from the above discussion, Lisp syntax lends itself naturally to recursion. Mathematical problems such as the enumeration of recursively-defined sets are simple to express in this notation.
Evaluate a number's factorial:
(defun factorial (n) (if (<= n 1) 1 (* n (factorial (- n 1)))))
An alternative implementation, faster than the previous version if the Lisp system has tail recursion optimization:
(defun factorial (n &optional (acc 1)) (if (<= n 1) acc (factorial (- n 1) (* acc n))))
Contrast with an iterative version which uses Common Lisp's
(defun factorial (n) (loop for i from 1 to n for fac = 1 then (* fac i) finally return fac))
The following function reverses a list. (Lisp's built-in reverse function does the same thing.)
(defun -reverse (l &optional acc) (if (atom l) acc (-reverse (cdr l) (cons (car l) acc))))
Various object systems and models have been built on top of, alongside, or into Lisp, including:
- Flavors, built at MIT
- The Common Lisp Object System, CLOS (descended from Flavors)
- KR (short for Knowledge Representation), a constraints-based object system developed to aid the writing of Garnet, a GUI library for Common Lisp
CLOS features multiple inheritance, multiple dispatch ("multimethods"), and a powerful system of "method combinations". In fact, Common Lisp, which includes CLOS, was the first object-oriented language to be officially standardized.
Genealogy and variants
Over its almost fifty-year history, Lisp has spawned many variations on the core theme of an S-expression language. Moreover, each given dialect may have several implementations – for instance, there are more than a dozen implementations of Common Lisp.
Differences between dialects may be quite significant – for instance, Common Lisp and Scheme do not even use the same keyword to define functions! Within a dialect that is standardized, however, conforming implementations support the same core language, but with different extensions and libraries.
Major modern dialects
- Common Lisp
- descended mainly from ZetaLISP and Franz Lisp, with some InterLISP input. Prevailing standard for industrial use today.
- A minimalist "academic" Lisp; an early user of lexical variable scoping and continuations.
- Emacs Lisp
- scripting language for the Emacs editor.
Historically significant dialects
- LISP 1.5 – First widely distributed version, developed by McCarthy and others at MIT. So named because it contained several improvements on the original "LISP 1" interpreter, but was not a major restructuring as the planned LISP 2 would be. (LISP 2 used an M-expression-based syntax and was not widely used.)
- MacLisp – developed for MIT's Project MAC (no relation to Apple's Macintosh, or to MacCarthy (sic)), direct descendant of LISP 1.5.
- Franz Lisp – originally a Berkeley project; later maintained by Franz, Inc.
- InterLisp – developed at BBN, later adopted as a "west coast" Lisp for the Xerox Lisp machines. A small version called "InterLISP 65" was published for Atari's 6502-based computer line.
- ZetaLisp – used on the Lisp machines, direct descendant of MACLisp.
- ANSI Common Lisp – mostly, a cleaned up subset of ZetaLisp incorporating CLOS.
- Gold Hill Common Lisp – an early PC implementation of Common Lisp.
- Coral Lisp – an implementation of Lisp for the Macintosh.
- Cambridge Lisp – originally implemented on IBM mainframes; published by Metacomco for the Amiga.
- the Knowledge Representation System
- Lispkit Lisp – a purely functional ("pure Lisp") dialect implemented on a virtual machine (the SECD machine) and used as a testbed for experimentation with functional language concepts.
- Symmetric Lisp – A parallel Lisp in which environments are first-class objects. It is implemented in Common Lisp.
- STING – A parallel dialect of Scheme intended to serve as a high-level operating system for symbolic programming languages. Features include first-class threads and processors and customisable scheduling policies.
- AutoLISP/Visual LISP – customization language for the AutoCAD product.
- *LISP (STARLISP) – A data-parallel extension of Common Lisp for the Connection Machine, uses "pvars".
- Jatha is a Java library that implements a fairly large subset of Common Lisp
- Isis is a Lisp dialect developed at the MIT Media Lab for multimedia applications.
- LUSH (Lisp Universal SHell) is a Lisp dialect developed for numerical and multimedia applications.
- newLISP : A stripped down version of Lisp with a focus on scripting and integrated networking functions.
- Logo – A descendant of Lisp which generally avoids the use of parentheses. Best known for turtle graphics.
- Dylan – A Scheme descendant developed by Apple Computer, which originally used S-expressions but later adopted a non-Lisp syntax.
- Lisp is worth learning for the profound enlightenment experience you will have when you finally get it; that experience will make you a better programmer for the rest of your days, even if you never actually use Lisp itself a lot.
- — Eric S. Raymond, "How to Become a Hacker" 
- We were after the C++ programmers. We managed to drag a lot of them about halfway to Lisp.
- — Guy Steele, co-author of the Java language specification
- Lisp has jokingly been called "the most intelligent way to misuse a computer". I think that description is a great compliment because it transmits the full flavor of liberation: it has assisted a number of our most gifted fellow humans in thinking previously impossible thoughts.
- — Edsger Dijkstra, CACM, 15:10
- Lisp is a programmable programming language.
- — John Foderaro
- Experienced Lisp programmers divide up their programs differently. As well as top-down design, they follow a principle which could be called bottom-up design — changing the language to suit the problem. In Lisp, you don't just write your program down toward the language, you also build the language up toward your program. As you're writing a program you may think "I wish Lisp had such-and-such an operator." So you go and write it. Afterward you realize that using the new operator would simplify the design of another part of the program, and so on. Language and program evolve together. Like the border between two warring states, the boundary between language and program is drawn and redrawn, until eventually it comes to rest along the mountains and rivers, the natural frontiers of your problem. In the end your program will look as if the language had been designed for it. And when language and program fit one another well, you end up with code which is clear, small, and efficient.
- — Paul Graham, "On Lisp" 
- Bill Schelter (Lisp programmer; maintainer of Maxima and GCL)
- Kent Pitman (Lisp programmer; Common Lisp standard editor)
- Paul Graham (Lisp programmer; inventor of Arc dialect of Lisp; essayist)
- http://lisp.org – Association of Lisp Users
- http://alu.cliki.net/ – Association of Lisp Users Wiki, a general discussion of things Lispish
- http://www.cliki.net/ – CLiki, a wiki about free software in Common Lisp.
- http://www.cons.org/ – a collection of Lisp-related sites
- http://www.clisp.org/ – GNU CLISP – a portable (Unix, Microsoft Windows, Mac OS X) ANSI Common Lisp implementation
- http://www.gnu.org/software/gcl – a GNU cross-platform Common Lisp implementation
- an interactive LISP course
- Design patterns in Lisp
- Mid-Sweden University Sundsvall Common Lisp B-level course, Notes from the lectures, spring of 1997 (PDF document format)
- http://www.gigamonkeys.com/book/ – A book on teaching yourself Lisp.
- http://www.lisperati.com/ – Lisp Comic
- http://www.lisp.org/table/systems.htm – A list of Common Lisp implementations.
- http://hedgehog.oliotalo.fi/ – Hedgehog Lisp, a functional Lisp dialect for small embedded targets (20kb bytecode interpreter and runtime)
- http://www.rtfm.org.ar/slisp/ – Simple Lisp Interpreter. Designed for learning and teaching the basics of Lisp
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