# day34 - Exam#2 Review Click to edit Master subtitle style...

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Click to edit Master subtitle style 10/4/11 Exam#2 Review

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10/4/11 Dec 2, © UCF (Charles E. 22 Material You are responsible for material that was covered on Exam#1 and the next few days (reducibility and Rice’s Theorem). Study notes through page 227. Look back at old exam. This one will be similar, except that it will include some questions as you’ll see on the next few pages.
10/4/11 Dec 2, © UCF (Charles E. 33 Sample Question#1 1. Assume A dm B and B & m C. Prove A — m C.

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10/4/11 Dec 2, © UCF (Charles E. 44 Sample Question#2 2. Let Incr = { f | & x, (f(x+1)>— f(x) }. Prove that Incr ± m TOT.
10/4/11 Dec 2, © UCF (Charles E. 55 Sample Question#3 3. Let Incr = { f | & x if(x+1)>A f(x) }. Use Rice’s theorem to show Incr is not recursive.

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10/4/11 Dec 2, © UCF (Charles E. 66 Sample Question#4 4. Let P = { f | M x [ STP(x, f, x) ] } . Why does Rice’s theorem not tell us anything about the undecidability of P?
10/4/11 Dec 2, © UCF (Charles E. 77 Sample Exam#2 Q1 1. Choosing from among (REC) recursive, (RE) re non- recursive, (CO) co-re non-recursive, (NR) non-re, categorize each of the sets in a) through d). Justify your answer by showing some minimal quantification of some known recursive predicate or by another clear and convincing short argument. a.) { f | domain(f) is infinite }

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## This note was uploaded on 10/03/2011 for the course COT 5310 taught by Professor Staff during the Spring '08 term at University of Central Florida.

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day34 - Exam#2 Review Click to edit Master subtitle style...

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