xor assoc truth table

const applyMethod = method => (obj, arg) => obj[method](arg);

Array.prototype.collect = function (f) {
  return this
    .map(f)
    .reduce(applyMethod('concat'), []);
};

const bits = [1, 0];

const xor = (a, b) => a === b ? 0 : 1;

const results =
  bits.collect(
    x => bits.collect(
    y => bits.collect(
    z =>
      xor(xor(x, y), z) === xor(x, xor(y, z))
  )));
  
const isTruthy = Boolean;
  
console.log(results.every(isTruthy));