--discreteMath let’s examine FSAs whose transition functions are FULL BINARY TREES. We can call these objects FBTSAs to help you remember that they are full binary trees. The alphabet of an FBTSA is Σ = {0, 1}, the start state is at the root, transition arrows must go away from the root and toward the leaves, and all transitions out of the leaves are to a fail state (not drawn). Like a normal FSA, any state can be either accepting or rejecting, except the fail state, which always rejects. Using big-O notation, give an upper bound for the word length in the language of any FBTSA in terms of the number of states |S|. Please explain your answer.
--discreteMath let’s examine FSAs whose transition functions are FULL BINARY TREES. We can call these objects FBTSAs to help you remember that they are full binary trees. The alphabet of an FBTSA is Σ = {0, 1}, the start state is at the root, transition arrows must go away from the root and toward the leaves, and all transitions out of the leaves are to a fail state (not drawn). Like a normal FSA, any state can be either accepting or rejecting, except the fail state, which always rejects. Using big-O notation, give an upper bound for the word length in the language of any FBTSA in terms of the number of states |S|. Please explain your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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--discreteMath
let’s examine FSAs whose transition functions are FULL BINARY TREES. We can call these objects FBTSAs to help you remember that they are full binary trees. The alphabet of an FBTSA is Σ = {0, 1}, the start state is at the root, transition arrows must go away from the root and toward the leaves, and all transitions out of the leaves are to a fail state (not drawn). Like a normal FSA, any state can be either accepting or rejecting, except the fail state, which always rejects.
- Using big-O notation, give an upper bound for the word length in the language of any FBTSA in terms of the number of states |S|. Please explain your answer.
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