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Titlebook: Understanding Computation; Pillars, Paradigms, Arnold L. Rosenberg,Lenwood S. Heath Textbook 2022 The Editor(s) (if applicable) and The Au

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Introducing the Book into their undergraduate college/university careers and for those who are in the early stages of their graduate careers. 2. It should become increasingly clear as the reader samples more of the book that it is designed also to provoke curious computing professionals to reconsider much of what they
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The Myhill-Nerode Theorem: Implications and Applicationsomata theory—Theorem 4.1—provides a complete characterization of the notion state of an FA. The proof of the theorem is not too hard, but the result’s implications are profound and its applications extensive.
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Countability and Uncountability: The Precursors of 0]. We focus on two of Cantor’s questions, which can be framed as follows: Are there “more” rational numbers than integers? (For brevity, we usually abbreviate the phrase “rational numbers” by “rationals”, and we abbreviate the phrase “real numbers” by “reals”.)
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Textbook 2022mputational phenomena: Why is it harder to perform some computations than others?  Are the differences in difficulty that we observe inherent, or are they artifacts of the way we try to perform the computations?  How does one reason about such questions?..This unique textbook strives to endow studen
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Countability and Uncountability: The Precursors of 0]. We focus on two of Cantor’s questions, which can be framed as follows: Are there “more” rational numbers than integers? (For brevity, we usually abbreviate the phrase “rational numbers” by “rationals”, and we abbreviate the phrase “real numbers” by “reals”.)
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Introducing Computation TheoryThis book is devoted to developing an introduction to a branch of mathematics which exposes and explains the nature of .—which the New Oxford American Dictionary defines as “.”.
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Pure State-Based Computational ModelsWe have selected the chapter’s epigram to suggest that an algorithmic model based entirely on Pillar S: STATE can capture valuable aspects of the phenomenon we call computation. Our mission is to verify this suggestion.
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Online Turing Machines and the Implications of , ComputingThis chapter introduces a hybrid computational model which is inspired simultaneously by the Online Automaton (OA) of Sect. 3.1 and the classical . (.) introduced by A.M.
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Pumping: Computational Pigeonholes in Finitary SystemsThis chapter is devoted to a phenomenon called pumping, which is an unavoidable behavioral concomitant of any ., . computational device or system.
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