Unlambda is a minimal, "nearly pure" functional programming language invented by David Madore. It is based on combinatory logic, an expression system without the lambda operator or free variables. It relies mainly on two built-in functions ( and ) and an apply operator (written , the backquote character). These alone make it Turing-complete, but there are also some input/output (I/O) functions to enable interacting with the user, some shortcut functions, and a lazy evaluation function. Variables are unsupported. Unlambda is free and open-source software distributed under a GNU General Public License (GPL) 2.0 or later.

Basic principles

As an esoteric programming language, Unlambda is meant as a demonstration of very pure functional programming rather than for practical use. Its main feature is the lack of conventional operators and data types—the only kind of data in the program are one-parameter functions. Data can nevertheless be simulated with appropriate functions as in the lambda calculus. Multi-parameter functions can be represented via the method of currying. Unlambda is based on the principle of abstraction elimination, or the elimination of all saved variables, including functions. As a purely functional language, Unlambda's functions are first-class objects, and are the only such objects. Here is an implementation of a hello world program in Unlambda: `r```````````.H.e.l.l.o. .w.o.r.l.di

Original built-in functions

The notation denotes a function which takes one argument and returns it unchanged, printing the single character x as a side effect when it is invoked. represents the version of the identity function that has no such side effect; it is used here as a dummy argument. The program applies the -printing function to a dummy argument of , returning and printing the letter as a side effect. Similarly, first applies to , printing the letter and returning ; this result of is then applied to as in the previous example. The function is syntactic sugar for the function that prints a newline character. Other important features provided by Unlambda include the and functions. manufactures constant functions: the result of is a function which, when invoked, returns x. Thus the value of is x for any x and y. is a generalized evaluation operator. evaluates to for any x, y, and z. It is a remarkable fact that and are sufficient to perform any calculation, as described in SKI combinator calculus. As a brief example, the identity function can be implemented as , since yields x for all x. Unlambda's one flow control construct is call with current continuation, denoted. When an expression of the form is evaluated, a special continuation object is constructed, representing the state of the interpreter at that moment. Then x is evaluated, and then the result is given the continuation object as an argument. If the continuation is never applied to an argument, the value of the expression is the same as the value of x. But if the continuation object is applied to a value y, execution of x is immediately aborted, and the value of the entire expression is y. Unlambda's execution semantics are normally eager evaluation, but a lazy evaluation option exists, indicated by the use of the operator. Usually, to evaluate an expression of the form, unlambda first evaluates x, then y, and then applies x to y. However, if x evaluates to the special value, then y is not evaluated; instead, the value of the expression is a special "delayed computation" object, which, when applied to an argument z, evaluates y, and then applies its value to z. In the absence of side effects, this is exactly the same as. The difference is that executes any side effects in y immediately, whereas defers the side effects until the result is applied to another argument. Unlambda's next built-in operator is, which ignores its argument and returns. This feature is not strictly necessary, since could be implemented as , but it is supplied as a convenience. (This expression above is simply, where denotes a fixed point combinator.)

Version 2 built-in functions

More built-ins were introduced in Unlambda version 2. Input is facilitated by operators and. When is applied to a function x, a character is read from input, and stored as the "current character"; then x is applied to. However, if no more characters were available on input, the current character is left undefined, and x is applied to instead. When a function is applied to a function x, the result is the evaluation of if the current character is u, otherwise is evaluated. There is also a "reprint" operator. When is evaluated, the function x is applied to if u is the current character, or to if there is no current character. Finally, there is an exit operator. When is applied to x, the execution of the program is terminated, and x is taken as the result of the program (most of the currently existing interpreters ignore the result anyway).