{"product_id":"9781848901810","title":"Dualities for Structures of Applied Logics","description":"\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.\u003c\/p\u003e\u003cp\u003eIdeas 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.\u003c\/p\u003e\u003cp\u003eDiscrete 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.\u003c\/p\u003e\u003cp\u003eThe book is self-contained and all the results are proved in sufficient detail enabling an easy verification.\u003c\/p\u003e","brand":"College Publications","offers":[{"title":"Default Title","offer_id":47054924185840,"sku":"9781848901810","price":20.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781848901810_p0.jpg?v=1763751344","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781848901810","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}