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Define a color word to be an English word that is the name of a color. So some example color words are red, fuschia, and ochre. Define an animal word to be an English word that is the common name of an animal. So some example animal words are cow, cats, and hippopotamus. Let L = {w : w is a sentence with legal English syntax and the number of color words in w equals the number of animal words in w}. As examples, observe that red cats like catnip ∈ L, but red cats like blue green balls ∉ L. Note that, to be in L, w must satisfy the syntactic rules of English. It is not necessary for w to make sense. So, for example, red red blue red cats like dogs and dogs and dogs ∈ L. Prove that L is not regular. (Be particularly careful if you use the Pumping Theorem. You must choose a w that is actually in L.)
Write a program would read two numbers and then print all numbers between the first and the second, inclusive. Design unambiguous grammar to parse expressions
Consider a logic function with three outputs, A , B , and C , and three inputs, D , E , and F . The function is defined as follows: A is true if at least one input is true, B is true
How many equivalence classes does this relation have and what are they? Use these equivalence classes to construct the minimal DFA for the language.
Show that the language F = {a^i b^j c^k | i, j, k greater than or equal to 0 and if i = 1 then j = k} is not regular. Show, however, that it satisfies the statement of the pumping lemma
Write a grammar for the language consisting of strings that have n copies of the letter a followed by same number of copies of the letter b, where n>0
We showed to prove that if L can be identified by DFA then the language left half(L) = {x ∈ ∑*|∃y xy ∈ L and |x| = |y|} is also regular; here |x| means length of x.
Redundant sequence identi cation
Write some examples of declarative knowledge. Write some examples of procedural knowledge. Then, compare examples, highlighting the similarities & differences.
Consider the language L = L1 ∩ L2, where L1 = {ww^R : w ∈ {a, b}* and L2 = {a^n b*a^n: n ≥ 0}. Write the first four strings in the lexicographic enumeration of L?
Write down a structural induction principle for the PlayTree free type
Discuss the impact of Moore's law on data center costs on such things as servers and communications equipment. List at least 3 steps or recommendations your data center can take to offset some or all of the effect of Moore's law.
Design a syntactic analyzer for the language specified by the grammar
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