Assigned:
Wed 30 Sep 2009
Due:
Wed 07 Oct 2009
Problem | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | ... |
---|---|---|---|---|---|---|---|---|---|---|
Credit | RC | RC | RC | EC | RC | RC | NA | RC | RC | ... |
where "RC" is "regular credit", "EC" is "extra credit", and "NA" is "not applicable" (not attempted). Failure to do so will result in an arbitrary set of problems being graded for regular credit, no problems being graded for extra credit, and a five percent penalty assessment.
Required: 6 of the following 8 problems
Points: 16 pts per problem
Let R be any regular language and let N be any non-regular language. (Note: R is not the set of regular languages; it is a variable which represents any particular regular language. Similarly for N.)
For each of the following assertions, either prove that the assertion is true or demonstrate that it is false by providing a counterexample.