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Write implememnt a finite state machine that recognzes an input string according to the following rules.
1. The first character must be either a letter(upper or lower case.)2. Each subsequent character can be an letter or any digit.3.Each string mus contain at least one lowercase letter, at least one uppercaseletter, and at least one digit.
How the problem would be encountered in attempting to represent the following statements in Predicate logic. it should be possible to: John only likes to see French movies.
Dynamic programming algorithm to compute a shortest superstring.
Give a construction that assumes you are given a DFA for L and show how to construct an NFA (with or without ε-moves) to recognize sort(L).
Redundant sequence identi cation
How many equivalence classes does this relation have and what are they? Use these equivalence classes to construct the minimal DFA for the language.
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.
Argue that the following prob is NP Complete. Given list of positive integers, u1,u2,...un (in binary representation) and asked if there is partition of this set into 3 subsets, each of which has same sum.
Describe the difference between a Deterministic Finite Automata and Non-Deterministic Finite Automata. In general, which one is expected to have less number of states ?
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
Design a syntactic analyzer for the language specified by the grammar
In this problem, we consider a very restricted subset of Boolean expressions. Define an operator to be one of the four symbols: ¬, ∧, ∨, and →. Define a variable to be one of the five symbols
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.)
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