Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives
Seiten
2024
epubli (Verlag)
978-3-8187-0781-1 (ISBN)
epubli (Verlag)
978-3-8187-0781-1 (ISBN)
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In this book, Lucien Sina presents a fresh approach to the study of logic, bridging classical foundations with cutting-edge information-theoretic perspectives. The P vs NP Problem is also treated.
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.
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.
Lucien Sina
| Erscheinungsdatum | 08.11.2024 |
|---|---|
| Sprache | englisch |
| Maße | 125 x 190 mm |
| Gewicht | 174 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Schlagworte | Complexity • Information Theory • Limits of Logic • Logic • logics • Mathematics • PvsNP |
| ISBN-10 | 3-8187-0781-2 / 3818707812 |
| ISBN-13 | 978-3-8187-0781-1 / 9783818707811 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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