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The key thing about the Suffx Substitution Closure property is that it does not make any explicit reference to the automaton that recognizes the language.
While the argument that establishes it is based on the properties of a Myhill graph that we know must exist, those properties are properties of Myhill graphs in general and don't depend on the speci?cs of that particular graph. This lets us reason about the strings in an SL2 language without having to actually produce the automaton that recognizes it. Perhaps more importantly, it lets us establish that a particular language is not SL2 by supposing (counterfactually) that it was SL2 and showing that Suffx Substitution Closure would then imply that it included strings that it should not.
The fundamental idea of strictly local languages is that they are speci?ed solely in terms of the blocks of consecutive symbols that occur in a word. We'll start by considering lan
The path function δ : Q × Σ* → P(Q) is the extension of δ to strings: This just says that the path labeled ε from any given state q goes only to q itself (or rather never l
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
DEGENERATE OF THE INITIAL SOLUTION
The upper string r ∈ Q+ is the sequence of states visited by the automaton as it scans the lower string w ∈ Σ*. We will refer to this string over Q as the run of A on w. The automa
(c) Can you say that B is decidable? (d) If you somehow know that A is decidable, what can you say about B?
The Recognition Problem for a class of languages is the question of whether a given string is a member of a given language. An instance consists of a string and a (?nite) speci?cat
how to understand DFA ?
Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.
The language accepted by a NFA A = (Q,Σ, δ, q 0 , F) is NFAs correspond to a kind of parallelism in the automata. We can think of the same basic model of automaton: an inpu
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