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

Lucien Sina (Autor)

eBook Download: PDF

2025 | 1. Auflage
156 Seiten
Books on Demand (Verlag)
978-3-6951-2821-1 (ISBN)

Infos

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.

Lucien Sina is an experienced computer scientist and educator with a passion for making complex topics accessible. He has years of experience in developing and analyzing algorithms and guides readers through the essential concepts of computer science.

Produkt-Details

• Erscheint lt. Verlag: 30.7.2025
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• ISBN-10: 3-6951-2821-6 / 3695128216
• ISBN-13: 978-3-6951-2821-1 / 9783695128211