{"product_id":"logic-lucien-sina-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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Lucien Sina\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3819202560\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783819202568\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Bod - Books on Demand\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/17\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 158\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.36lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.00h x 5.00w x 0.37d","brand":"Lucien Sina","offers":[{"title":"Paperback","offer_id":48446992679167,"sku":"9783819202568","price":23.9,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_30d7b60c-edca-4063-bdf3-be91ae53d870.jpg?v=1777228108","url":"https:\/\/www.whiterainbookhouse.com\/products\/logic-lucien-sina-9783819202568","provider":"WR Book House","version":"1.0","type":"link"}