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allison c foundations computing introduction 2021

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Textbook in PDF format An accessible, practical approach to formal languages with an introduction to computability. A textbook for upper-division Computer Science majors covering formal languages and automata with an introduction to computability. Intended to give CS majors a solid foundation in the Theory of Computation without being overly formal mathematically, while retaining the rigor of the material. This book to make the fundamentals of the theory of computation more accessible to the current generation of undergraduate computer science students. Over the course of twenty years of teaching this subject at Utah Valley University (UVU) in Orem, Utah, have noticed that computer science undergraduates are not as mathematically sophisticated as in the early days of computer science education, when CS students mostly came from mathematics and the sciences, yet the demand for CS graduates has increased dramatically, with enrollments at UVU and elsewhere following suit. Furthermore, the areas where computing applies to daily life have broadened to the point that society can’t seem to do without the convenience that computerized devices afford. CS graduates can make a noticeable contribution to the world of computing work without as much mastery of formal mathematics as was required in times past. Yet it is crucial that a practicing software engineer understand the nature and limits of computation. As the artist must have familiarity with media and the scientist with elements and equipment, the computing practitioner must know what software can and can’t do. In this book, I attempt to illuminate the fundamentals of computing for as large an audience as possible. The key results of the theory of computation are covered with numerous examples and sometimes even with working Python programs, while at the same time achieving a measure of rigor with only a minimum of mathematical formalism. Formal proofs appear infrequently, but constructive arguments abound. I use recursive definitions, but use mathematical induction only twice. While mathematical notation appears as needed, I use visual representations profusely to illustrate concepts. Introduction Regular Languages Finite Automata Regular Expressions and Grammars Properties of Regular Languages Context-Free Languages Pushdown Automata Context-Free Grammars Properties of Context-Free Languages Recursively Enumerable Languages Turing Machines The Landscape of Formal Languages Computability

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allison c foundations computing introduction 2021

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