feat: initial commit

examples/booleans.lambda

@@ -0,0 +1,9 @@
+true = \ x y . x;
+false = \ x y . y;
+
+not = \ p . p false true;
+and = \ p q . p q p;
+or = \ p q . p p q;
+xor = \ p q . p ( not q ) q;
+
+main = and true false;

examples/numbers.lambda

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+0 = \ f x . x;
+1 = \ f x . f x;
+2 = \ f x . f ( f x );
+
+isZero = \ n . n (\ x . false) true;
+succ = \ n f x . f ( n f x );
+pred = \ n f x . n (\ g h . h ( g f )) (\u . x) (\u . u);
+add = \ m n . n succ m;
+sub = \ m n . n pred m;
+mul = \ m n f . m ( n f );
+exp = \ b n . n b;
+
+main = add 2 1;

examples/pair.lambda

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+pair = \ x y z . z x y;
+
+first = \ p . p (\ x y . x);
+second = \ p . p (\ x y . y);
+
+cons = pair;
+head = first;
+tail = second;
+nil = \ x y . y;
+isNil = \ l . l (\ h t d . (\ x y . y)) (\ x y . x);
+
+main = first (pair a b);