{"product_id":"logic-foundations-the-p-vs-np-problem-and-information-theoretic-perspectives-von-lucien-sina","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783819202568\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783819202568","offer_id":55174639518021,"sku":"9783819202568","price":14.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/9177044e-746c-4442-a75c-282417cfbb6f.jpg?v=1752901291","url":"https:\/\/shop.autorenwelt.de\/en\/products\/logic-foundations-the-p-vs-np-problem-and-information-theoretic-perspectives-von-lucien-sina","provider":"Autorenwelt Shop","version":"1.0","type":"link"}