Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives - Tapa blanda

Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives

Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783819763663

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