1.8. Exercises 1. Show that the following problems are undecidable. (a) xEE (Hint. Either use a direct diagonal construction, or reduce 'x e W' to this problem using the s-m-n theorem.), (b)"w, = w,, (Hin. Reduce dh is total, to this problem.), (/) o, is total and constant', (h) 'Ex is infinite'. (i)"o, , where g is any fixed computable function. 2. Show that there is no total comnntal 1.8. Exercises 1. Show that the following problems are undecidable. (a) xEE (Hint. Either use a direct diagonal construction, or reduce 'x e W' to this problem using the s-m-n theorem.), (b)"w, = w,, (Hin. Reduce dh is total, to this problem.), (/) o, is total and constant', (h) 'Ex is infinite'. (i)"o, , where g is any fixed computable function. 2. Show that there is no total comnntal