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If M is a DFA accepting language B, then exchangeing the accept and reject states gives a new DFA accepting the complement of B. Does this work for an NFA, why?
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 ?
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.
Design Turing machine (using Sipser notation) having at least 4 nontrivial (i.e., nonrejecting) states and at least six nontrivial (i.e., not to the rejecting state) transitions.
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.
Write down the algorithm for finding useless/productive nonterminals. Describe how this gives you the algorithm for whether language generated by grammar is empty.
Create a recursive java method maximum that calculate the maximum element of a linked list of integers.The solution must be simplified and should not use class Node or head
Create a Mealy Machine which produces the output of 1 whenever discrepancy in above pattern is detected, and produces the output of 0 otherwise. Write states meaningful names.
Describe why every nonempty propositional clause, by itself, is satisfiable. Prove rigorously that every set of five 3-SAT clause is satisfiable, given that each clause mentions exactly three distinct variables.
Design and draw the state diagram (graph-representation) of a deterministic finite-state automata that recognizes the language generated by the grammar
Implementation of both the algorithms using C/C++ code 1. roommates problem 2. Intern Problem
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).
Which sentence has the logical mismatch between predicate and subject? Choose one of options below as your answer: A. Misunderstanding was as he lost directions.
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