Let A = {a, b}, and suppose A has the partial order relation R where R = {(a, a), (a
Chapter 8, Problem 11(choose chapter or problem)
Let A = {a, b}, and suppose A has the partial order relation R where R = {(a, a), (a, b), (b, b)}. Let S be the set of all strings in a’s and b’s and let \(\preceq\) be the corresponding lexicographic order on S. Indicate which of the following statements are true, and for each true statement cite as a reason part (1), (2), or (3) of the definition of lexicographic order given in Theorem 8.5.1.
a. aab \(\preceq\) aaba
b. bbab \(\preceq\) bba
c. \(\in \preceq\) aba
d. aba \(\preceq\) abb
e. bbab \(\preceq\) bbaa
f. ababa \(\preceq\) ababaa
g. bbaba \(\preceq\) bbabb
Text Transcription:
preceq
in preceq
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