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

Lucien Sina

ISBN 10: 3819202560 / ISBN 13: 9783819202568

Published by Bod - Books On Demand Jul 2025, 2025

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware 156 pp. Englisch.

Seller Inventory # 9783819202568

Bibliographic Details

• Title: Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives
• Publisher: Bod - Books On Demand Jul 2025
• Publication Date: 2025
• Language: English
• ISBN 10: 3819202560
• ISBN 13: 9783819202568
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 190W x 120H x 12D millimeters 190 millimeters width by 120 millimeters height by 12 millimeters depth
• Weight: 173 grams

About this title

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.