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

Sina, Lucien

Brossura

ISBN 10: 381976366X ISBN 13: 9783819763663

Casa editrice: epubli, 2025

Riassunto

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.

Dettagli dell?edizione

• Editore: epubli
• Data di pubblicazione: 2025
• Lingua: Inglese
• ISBN 10: 381976366X
• ISBN 13: 9783819763663
• Rilegatura: Copertina flessibile
• Numero di pagine: 153
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile