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De?nition Instantaneous Description of an FSA:
An instantaneous description (ID) of a FSA A = (Q,Σ, T, q0, F) is a pair (q,w) ∈ Q×Σ* , where q the current state and w is the portion of the input under and to the right of the read head.
w is the portion of the string remaining to be processed. The symbol being currently being read by the FSA is the ?rst symbol of w. If w is empty then the entire input has been scanned and the FSA has halted.
The generalization of the interpretation of strictly local automata as generators is similar, in some respects, to the generalization of Myhill graphs. Again, the set of possible s
Computation of a DFA or NFA without ε-transitions An ID (q 1 ,w 1 ) computes (qn,wn) in A = (Q,Σ, T, q 0 , F) (in zero or more steps) if there is a sequence of IDs (q 1
DEGENERATE OF THE INITIAL SOLUTION
Suppose G = (N, Σ, P, S) is a reduced grammar (we can certainly reduce G if we haven't already). Our algorithm is as follows: 1. Define maxrhs(G) to be the maximum length of the
The Universality Problem is the dual of the emptiness problem: is L(A) = Σ∗? It can be solved by minor variations of any one of the algorithms for Emptiness or (with a little le
The Equivalence Problem is the question of whether two languages are equal (in the sense of being the same set of strings). An instance is a pair of ?nite speci?cations of regular
The initial ID of the automaton given in Figure 3, running on input ‘aabbba' is (A, aabbba) The ID after the ?rst three transitions of the computation is (F, bba) The p
Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.
The objective of the remainder of this assignment is to get you thinking about the problem of recognizing strings given various restrictions to your model of computation. We will w
Given any NFA A, we will construct a regular expression denoting L(A) by means of an expression graph, a generalization of NFA transition graphs in which the edges are labeled with
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