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The Myhill-Nerode Theorem provided us with an algorithm for minimizing DFAs. Moreover, the DFA the algorithm produces is unique up to isomorphism: every minimal DFA that recognizes the same language will have the same number of states and the same edges, differing in no more than the particular names it gives the states. If we apply this to A and L(A) is empty then we will obtain a DFA that is isomorphic to any minimal DFA that recognizes ∅. In particular it will contain just a single state and that state will not be an accepting state. (Being a DFA, that state will have a self-edge for every symbol in the alphabet.) It's pretty easy to check if this is the case for the minimized version of A. We return "True" iff it is.
a) Let n be the pumping lemma constant. Then if L is regular, PL implies that s can be decomposed into xyz, |y| > 0, |xy| ≤n, such that xy i z is in L for all i ≥0. Since the le
Question 2 (10 pt): In this question we look at an extension to DFAs. A composable-reset DFA (CR-DFA) is a five-tuple, (Q,S,d,q0,F) where: – Q is the set of states, – S is the alph
example of multitape turing machine
Another way of representing a strictly 2-local automaton is with a Myhill graph. These are directed graphs in which the vertices are labeled with symbols from the input alphabet of
Automata and Compiler (1) [25 marks] Let N be the last two digits of your student number. Design a finite automaton that accepts the language of strings that end with the last f
what exactly is this and how is it implemented and how to prove its correctness, completeness...
write grammer to produce all mathematical expressions in c.
When we study computability we are studying problems in an abstract sense. For example, addition is the problem of, having been given two numbers, returning a third number that is
A context free grammar G = (N, Σ, P, S) is in binary form if for all productions A we have |α| ≤ 2. In addition we say that G is in Chomsky Normaml Form (CNF) if it is in bi
prove following function is turing computable? f(m)={m-2,if m>2, {1,if
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