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Synopsis
This groundbreaking textbook presents a new approach to the study of logic by combining classical foundations with modern information-theoretic perspectives. Following a detailed introduction, it offers an information-theoretic formalization of logic. Subsequently, well-known but still unsolved problems, such as the P versus NP problem, are addressed using the provided tools. An optimization algorithm for the target requirements of logical problem-solving—regarding computability, expressiveness, and consistency—is presented, and finally, a few applications in other fields are showcased. The book offers students and researchers a comprehensive journey through the fundamental principles of logic while introducing innovative concepts at the intersection of logic, information theory, and computational complexity. Key features include: -Solid foundations in classical logic, including propositional and predicate logic, validity, and formal inference. -Novel integration of Shannon’s information theory with traditional logical concepts. -Exploration of new approaches to axiomatization and formalization in light of Gödel’s incompleteness results. -In-depth analysis of the P versus NP problem with information-theoretic and optimization approaches. -Clear explanations and examples suitable for beginners and beyond. -Applications in mathematics, computer science, and related fields.
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Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives
impression à la demandeVendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This groundbreaking textbook presents a new approach to the study of logic by combining classical foundations with modern information-theoretic perspectives. Following a detailed introduction, it offers an information-theoretic formalization of logic. Subsequently, well-known but still unsolved problems, such as the P versus NP problem, are addressed using the provided tools. An optimization algorithm for the target requirements of logical problem-solving-regarding computability, expressiveness, and consistency-is presented, and finally, a few applications in other fields are showcased.The book offers students and researchers a comprehensive journey through the fundamental principles of logic while introducing innovative concepts at the intersection of logic, information theory, and computational complexity.Key features include:-Solid foundations in classical logic, including propositional and predicate logic, validity, and formal inference.-Novel integration of Shannon's information theory with traditional logical concepts.-Exploration of new approaches to axiomatization and formalization in light of Gödel's incompleteness results.-In-depth analysis of the P versus NP problem with information-theoretic and optimization approaches.-Clear explanations and examples suitable for beginners and beyond.-Applications in mathematics, computer science, and related fields. 156 pp. Englisch. N° de réf. du vendeur 9783819763663
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Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives | DE
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Taschenbuch. Etat : Neu. Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives | DE | Lucien Sina | Taschenbuch | Englisch | epubli | EAN 9783819763663 | Verantwortliche Person für die EU: preigu, Ansas Meyer, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. N° de réf. du vendeur 133659481
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