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

Lucien Sina

ISBN 10: 381976366X / ISBN 13: 9783819763663

Edité par epubli, 2025

A propos de cet article

Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives | DE | Lucien Sina | Taschenbuch | Englisch | epubli | EAN 9783819763663 | Verantwortliche Person für die EU: preigu, Ansas Meyer, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

N° de réf. du vendeur 133659481

Détails bibliographiques

• Titre: Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives | DE
• Éditeur: epubli
• Date de parution: 2025
• Langue: anglais
• ISBN à 10 chiffres: 381976366X
• ISBN à 13 chiffres: 9783819763663
• Reliure: Taschenbuch
• État de l'article: Neu

A propos de ce titre

Synopsis

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.