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Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Mathematical foundations

• Celý názov: Dualities for Structures of Applied Logics
• Autor: Ewa Orlowska, Anna Maria Radzikowska, Ingid Rewitzky
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 396
• EAN: 9781848901810
• ISBN: 9781848901810
• ID: 10812630
• Nakladateľ: College Publications
• Hmotnosť: 594 g
• Rozmery: 156 × 233 × 26 mm
• Dátum vydania: 15. July 2015

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