{"product_id":"dualities-for-structures-of-applied-logics-9781848901810","title":"Dualities for Structures of Applied Logics","description":"\u003cp\u003e • Author(s): Ewa Orlowska | Anna Maria Radzikowska | Ingid Rewitzky\u003cbr\u003e • Publisher: College Publications\u003cbr\u003e • Publisher Imprint: College Publications\u003cbr\u003e • BISAC: Logic\u003c\/p\u003e\u003cp\u003eThis book provides a framework for presenting algebras and frames arising as semantic structures for formal languages and for proving relationships between the structures. For this purpose a discrete framework, referred to as discrete duality, is used rather than a topological framework. Ideas from the classical dualities and representations of Stone, Priestley, and Urquhart are applied in such a way that topology is not part of any of the underlying structures or relationships. A key contribution of the book is the formulation of the concept of duality via truth for expressing that a class of algebras and a class of frames determine equivalent notions of truth for a given formal language. Discrete duality and duality via truth are applied to a wealth of case studies presented in three main parts, namely, classes of Boolean lattices, distributive lattices, and general, that is not necessarily distributive, lattices, respectively. The book is self-contained and all the results are proved in sufficient detail enabling an easy verification.\u003c\/p\u003e","brand":"Atlantic Books","offers":[{"title":"Paperback","offer_id":46506894950551,"sku":"9781848901810","price":1909.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781848901810.webp?v=1769197606","url":"https:\/\/atlanticbooks.com\/products\/dualities-for-structures-of-applied-logics-9781848901810","provider":"Atlantic Books","version":"1.0","type":"link"}