Action symbol

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Action symbol is a simple Matrioshka language based on the danish word for ". it was created by User:Yayimhere.

how it works

the program has two types of syntax:

x[y](z) will create and operator x with input y, that will return the result of expression z. z must hold at least one "
x!y apply x operator to y
"x evaluate x. normally an expression is not evaluated unless its NEEDED. " will not need to be itself evaluated
»x« when x is evaluated do it separately from the rest of the expression(basically brackets in normal expressions)

programs are also when evaluated lazily and left to right.

relation to Lambda calculus

in a version of lambda calculus where first of all variables can be defined and also a expression is only evaluated when it would be passed to a function and last of all surrounding an expression with [] square brackets then it would not be evaluated unless theexpression with the brackets are put into a function

{x[y](z)} -> x = \y.{z}
{"x} -> (\y.y) {x}
{x!y} -> [{x} {y}]
{»x«} -> ({x})

where {...} converts ... to this lambda calculus

examples

w[x]("»x!x«)
o[x]("»w!w«)

o is now the omega combinator

j[y]("x)
k[x]("j)

k is now k from SKI combinator calculus