Math 29 Homework #7

I know what you're thinking about, but it isn't so, nohow.
Contrariwise, if it was so, it might be; and if it were so, it would be;
but as it isn't, it ain't. That's logic.
Lewis Carroll

Reading

Read what we covered in today's class: 2.5, 3.1, 3.2
Read what we will cover in the next class: 3.3, 3.4

When reading 3.4 pay special attention to the following concepts:

  • Turing machine, specification, Turing computable functions, Theorem 3.4.7.

Problems

The following problems are due by the beginning of class on Wednesday 4/14.
  • Define and give an example for each of the following:
    • specification of a Turing machine
    • Turing computable function
  • p. 45, # 2.5.4.2
  • p. 45, # 2.5.4.3
  • Also, visit CS and Math Biographies to learn more about Gödel and Turing:

Presentations

  • Theorems 4.1.3 and 4.1.4 on Monday 4/19
  • Theorem 4.2.6 and the diagonal method on Wednesday 4/21
  • Theorem 4.4.3 on Thursday 4/23