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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Mobility in Computing: An FA Navigates a MeshWe ended Chapter . with an expanded Finite Automaton model, the ., which can wander along cell-to-neighboring-cell paths within two dimensional meshes.

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Computability TheoryIn deference to the inherent complexity of Computation Theory, we open the current chapter with . epigrams, which capture opposing aspects of the Theory.

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Pairing Functions as Encoding MechanismsAs students of computing, we should not be blinded by the brilliance of these classical applications of pairing functions to the significant potential applications of these functions as tools for addressing challenges that arise in contemporary computing.

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Nondeterminism as Unbounded ParallelismWe observed in Section 3.1.1 that one can view OAs as abstract representations of actual circuits or machines or programs. In contrast, the generalized OAs that we present now arise from a mathematical abstraction which cannot be realized from conventional hardware or software elements.

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Nondeterministic Finite AutomataThe material in this chapter refines the development in Chap. . by restricting attention to . NOAs. We call such an NOA a . (., for short). Since much of the chapter will compare the behaviors and discriminatory powers of NFAs and their deterministic counterparts, we henceforth refer to deterministic FAs as ..

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Arnold L. Rosenberg,Lenwood S. HeathPromotes understanding through multi-faceted explanations.Provides a comprehensive introduction, mapping a pillars-based organization.Connects expected areas of reader interest to topics and applicati