Titlebook: Structures of Computing; A Guide to Practice- Egon Börger,Vincenzo Gervasi Textbook 2024 The Editor(s) (if applicable) and The Author(s), u

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Complexity Analysispplied to structures simplify to prove various classical results: undecidability of predicate logic and NP-completeness of propositional logic, Kleene’s RECURSION and ENUMERATION Theorems, Turing’s concept of UNIVERSAL MACHINES. Look-Compute-Move algorithms are explained as characteristic example fo

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Complexity Analysis’s RECURSION and ENUMERATION Theorems, Turing’s concept of UNIVERSAL MACHINES. Look-Compute-Move algorithms are explained as characteristic example for COMPUTING OVER STRUCTURES (here: with complex topological environments).

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https://doi.org/10.1007/978-3-031-54358-6Theory of Computation; Programming Theory; Program Logic; Computational Complexity; Control Structure; Co

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Computational Data, Operations, Statesproperties and relations. It is explained how these structures by the underlying concept of abstraction and refinement represent a comprehensive notion of STATE of virtual or mechanical computing systems, at whatever level of detail.

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Logical Structure of State-Change Actionsnments (PGAs) that update memory locations (function table entries) in structures of whatever desired level of abstraction. To illustrate domain-specific extensions of those fundamental constructs of computing a simple WORKSPACE INCREASE mechanism is added to PGAs.