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An effort to create the perfect programming language.


An effort to create the perfect programming language. Currently in alpha stage.

Lambda is an eagerly evaluated lambda calculus with static Hindley-Milner type system and a few additions.

The main addition is the Z combinator provided as a global predefined term called fix. Without this, the language would not be Turing-complete because the type system would prevent some types of computations.

The definition of the Z combinator can't be typed, as it would cause infinite recursion of the typing rules. fix is arbitrarily typed as ∀T . (T → T) → T, which is the most generic type that satisfies the fix-point equation.

The value domain is similar to JavaScript's: other than closures it contains undefined, null, booleans, strings, numbers, arrays, and even objects. In this way interaction with JavaScript APIs provided by the underlying platform is possible. Lambda automatically marshals and unmarshals values so as to compensate for differences between the two domains.

The following Fibonacci implementation gives an idea of several implementation choices:

let fibonacci = fix fn f, n: integer ->
  if < n 2
  then 1
  else + (f (- n 1)) (f (- n 2)) in
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.map fibonacci

The program will output {1, 1, 2, 3, 5, 8, 13, 21, 34, 55}.

For more information see the Wiki.


$ npm i -g lambda

$ lambda
> "Hello, world!"
"Hello, world!"

See the Wiki.