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 Classic text considers general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, computable functionals, classification of unsolvable decision problems and more.This book is an introduction to the theory of computability and noncomputability, usually referred to as the theory of recursive functions. This subject is concerned with the existence of purely mechanical procedures for solving various problems. Although the theory is a branch of pure mathematics, it is, because of its relevance to certain philosophical questions and to the theory of digital computers, of potential interest to nonmathematicians. The existence of absolutely unsolvable problems and the Godel incompleteness theorem are among the results in the theory of computability which have philosophical significance. The existence of universal Turing machines, another result of the theory, confirms the belief of those working with digital computers that it is possible to construct a single "all-purpose" digital computer on which can be programmed (subject of course to limitations of time and memory capacity) any problem that could be programmed for any conceivable deterministic digital computer. This assertion is sometimes heard in the strengthened form: anything that can be made completely precise can be programmed for an all-purpose digital computer. However, in this form, the assertion is false. In fact, one of the basic results of the theory of computability (namely, the existence of nonrecursive, recursively enumerable sets) may be interpreted as asserting the possibility of programming a given computer in such a way that it is impossible to program a computer (either a copy of the given computer or another machine) so as to determine whether or not a given item will be part of the output of the given computer. Another result (the unsolvability of the halting problem) may be interpreted as implying the impossibility of constructing a program for determining whether or not an arbitrary given program is free of "loops."
 From Logic to Logic Programming (Foundations of Computing) This mathematically oriented introduction to the theory of logic programming presents a systematic exposition of the resolution method for propositional, first-order, and Horn- clause logics, together with an analysis of the semantic aspects of the method. It is through the inference rule of resolution that both proofs and computations can be... Microsoft Windows Workflow Foundation Step by Step (Pro Step By Step Developer)Get hands-on, step-by-step guidance for using Windows Workflow Foundation to create process-managed applications for Microsoft Windows. This reference offers practical instruction and a CD with practice files and code samples. Key Book Benefits: - Delivers context for understanding workflow and guidance for creating workflows and... Economics For Dummies®, 2nd Edition Economics is all about humanity’s struggle to achieve happiness in a world full of constraints. Too little time and money is available to do everything people want. And things like curing cancer are still impossible because the necessary technologies haven’t yet been developed. But people are clever. They tinker and...

Constrained Optimization and Optimal Control for Partial Differential Equations (International Series of Numerical Mathematics)

This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in...

Criminal Poisoning: Investigational Guide for Law Enforcement, Toxicologists, Forensic Scientists, and Attorneys (Forensic Science and Medicine)

In this revised and expanded edition, leading forensic scientist John Trestrail offers a pioneering survey of all that is known about the use of poison as a weapon in murder. Topics range from the use of poisons in history and literature to convicting the poisoner in court, and include a review of the different types of poisons, techniques...

CompTIA Security+ Certification Study Guide, Second Edition (Exam SY0-401) (Certification Press)

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