{ "item_title" : "Dualities for Structures of Applied Logics", "item_author" : [" Ewa Orlowska", "Anna Maria Radzikowska", "Ingid Rewitzky "], "item_description" : "This 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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/1/84/890/181/184890181X_b.jpg", "price_data" : { "retail_price" : "25.00", "online_price" : "25.00", "our_price" : "25.00", "club_price" : "25.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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