{"product_id":"lucien-sina-logic-foundations-the-p-vs-np-problem-and-information-theoretic-perspectives-9783819202568","title":"Logic: Foundations, the P-vs-NP-Problem and Information-Theoretic Perspectives","description":"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.","brand":"BoD - Books on Demand","offers":[{"title":"Default Title","offer_id":53720578392406,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"url":"https:\/\/www.momoxbooks.com\/products\/lucien-sina-logic-foundations-the-p-vs-np-problem-and-information-theoretic-perspectives-9783819202568","provider":"momoxbooks","version":"1.0","type":"link"}