{ "item_title" : "Theory and Applications of Craig Interpolation", "item_author" : [" Balder Ten Cate", "Jean Christoph Jung", "Patrick Koopmann "], "item_description" : "Craig Interpolation and Beth Definability have played a central role in modern logic since the mid-twentieth century. Originating in William Craig's and Evert Willem Beth's pioneering work, they provide fundamental tools for understanding logical systems and how information can be transferred, transformed, or restricted within formal languages. Their impact extends across proof theory, model theory, philosophical logic, and computer science, where they illuminate both the power and the limitations of logical systems.This volume brings together leading researchers to offer a comprehensive and contemporary account of developments in interpolation and definability. The chapters range from classical insights to recent advances, covering a wide spectrum of topics. Readers will find in-depth investigations of interpolation in modal and superintuitionistic logics, algebraic perspectives on definability, and constructive approaches grounded in proof systems. Several contributions examine uniform interpolation and forgetting, shedding light on how logical content can be systematically simplified without losing relevant consequences. Others explore the crucial role of interpolation in automated reasoning, model checking, database querying, and ontology engineering, where interpolants serve as abstractors, separators, and explainers.A major theme of the volume is the meeting point between theory and application. While the contributors develop sophisticated mathematical techniques, they also demonstrate how these ideas support practical algorithms used in verification, querying, automated reasoning, and knowledge representation.The volume also pays tribute to Larisa Maksimova, whose groundbreaking work on interpolation in nonclassical logics continues to guide and inspire research in the field. Her contributions resonate through the topics discussed and the methods employed by many of the authors.Accessible to graduate students yet rich in material for specialists, this book offers an authoritative overview of Craig Interpolation and Beth Definability. It presents a broad and evolving research landscape, demonstrating how classical concepts remain essential in addressing contemporary questions about logical inference, expressiveness, and computation.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/1/91/448/182/1914481828_b.jpg", "price_data" : { "retail_price" : "89.99", "online_price" : "89.99", "our_price" : "89.99", "club_price" : "89.99", "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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