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1. Rewrite the productions for each of the following nonterminals as right regular grammars: Identifier, Float.
2. Draw a DFSA for identifiers that contain only letters and digits, where the identifier must have at least one letter, but it need not be the first character. Hint: everything to the left of the leftmost letter must be a digit.
3. Show the moves made using the DFSA for identifiers in accepting the following:
1. a 2. a2 3. a2i 4. abc 4. For C-style / * . . . * / comments, give 1. a right regular grammar 2. a regular expression 3. a DFSA
5. Can a language have no reserved words? That is, suppose every reserved word (such as if and for) were merely predefined identifier, which the programmer is free to redefine. Can such a language exist? Explain.
Design in JFLAP a Truing machine that takes as input a tape containing a series of n 1s, Where n >= 0, terminated by an = sign.
Dynamic programming algorithm to compute a shortest superstring.
Create a standard 1-tape Turing machine M to calculate the function sub3. Specifically, calculate sub3 of a natural number represented in binary.
Express the following set as a regular expression: The set of all strings of length at least three over {0,1} such that every three consecutive.
Consider the following grammar: S S (S) | ε. Construct and DFA or LR(0) items for this grammar. Construct SLR(1) parsing table.
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 a program would read two numbers and then print all numbers between the first and the second, inclusive. Design unambiguous grammar to parse expressions
Show that the following identities hold for regular expressions over any alphabet: epsilon + R*R = R*. These should be done by interpreting the regular expressions as languages.
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.
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
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
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