Titlebook: Elements of Computation Theory; Arindama Singh Textbook 2009 Springer-Verlag London 2009 Algorithms.Computability.Computation.Formal Langu

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Equivalences,king about the same class of languages? The examples in the last chapter, at least, suggest that they might. In this chapter, we will see that it is indeed so. We will say, informally, that two mechanisms are . if they accept the same class of languages. In fact, we solve many subproblems to arrive

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Structure of CFLs,nguage is context-free and there are context-free languages that are not regular. For example, the language . = {.: . ε N} is context-free but it is not regular. Here you can see that somehow the automaton must remember how many .’s it has read, and then it has to consume .’s one after another match

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Algorithmic Solvability,een how versatile the Turing machines are. They seem to be the most general kind of computing devices in the sense that all known algorithms can be realized as Turing machines. Quoting various approaches to computing models such as unrestricted grammars, λ-calculus, μ-recursive functions, Post‘s mac

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Insurer Ambiguity and Market Failure,ndeed so. We will say, informally, that two mechanisms are . if they accept the same class of languages. In fact, we solve many subproblems to arrive at these equivalences. Our route is from NFA to DFA, from DFA to regular grammar, from regular grammar to NFA, from regular expression to NFA, and finally, from NFA to regular expression.