Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives
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In this groundbreaking textbook, Lucien Sina presents a fresh approach to the study of logic, bridging classical foundations with cutting-edge information-theoretic perspectives. "Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives" 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: -Solid grounding in classical logic, covering propositional and predicate logic, validity, and formal reason...
In this groundbreaking textbook, Lucien Sina presents a fresh approach to the study of logic, bridging classical foundations with cutting-edge information-theoretic perspectives. "Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives" 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: -Solid grounding in classical logic, covering propositional and predicate logic, validity, and formal reasoning -Novel integration of Shannon 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 vs NP Problem, featuring information-theoretic and optimization approaches. -Clear explanations and examples suitable for first-year students and beyond. -Applications in mathematics, computer science, and related fields. This unique text not only provides a thorough introduction to logic but also opens new avenues for understanding the limits and capabilities of formal systems. By combining traditional logical rigor with information-theoretic insights and exploring one of the most significant unsolved problems in computer science, Sina offers readers a powerful toolkit for critical thinking, advanced logical analysis, and computational problem-solving. Whether you're a student embarking on your journey in formal reasoning, a researcher seeking fresh perspectives on logical foundations, or a computer scientist interested in complexity theory, this book promises to challenge and expand your understanding of this fundamental discipline.
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