!!
puzzles-4
=< (ack 2 2) |% ++ ack |= [m=@ n=@] ?: =(m 0) (add n 1) ?: =(n 0) (ack (dec m) 1) (ack (dec m) (ack m (dec n))) --

ackermann

glossary

=< evaluates its head against its tail as subject.

=<(a b) is =>(b a), and =<(a [a=5]) is 5.

irregular forms:

arm:core is =<(arm core)

%: calls a gate with several arguments, gathering them into one sample.

%:(add 2 3) is 5.

irregular forms:

(gate a b c) is %:(gate a b c)

|% makes a core: a battery of named arms, each written ++ name.

reach an arm back out with =< or arm:core.

=<  a
|%
++  a  5
--

is 5.

|= makes a gate: a function with one named sample, then a body.

the body runs with the sample bound.

call the gate to run it.

(|=(a=@ (add a 1)) 4) is 5.

$: makes a tuple mold, naming each face in a cell.

$:(x=@ y=@) is the mold [x=@ y=@].

$= wraps a mold with a face, naming the value it produces.

$=(x @) is the mold x=@.

?: is if-then-else: it picks its first branch when the test is yes, the second when no.

?:((gth 3 5) 10 20) is 20.

.= tests two nouns for equality, giving a loobean.

.=(3 3) is %.y, and .=(3 4) is %.n.

irregular forms:

=(a b) is .=(a b)

add sums two atoms.

(add 2 3) is 5.

dec is decrement: one less than an atom.

(dec 8) is 7.