{ "item_title" : "Solving Higher-Order Equations", "item_author" : [" Christian Prehofer "], "item_description" : "This monograph develops techniques for equational reasoning in higher-order logic. Due to its expressiveness, higher-order logic is used for specification and verification of hardware, software, and mathematics. In these applica- tions, higher-order logic provides the necessary level of abstraction for con- cise and natural formulations. The main assets of higher-order logic are quan- tification over functions or predicates and its abstraction mechanism. These allow one to represent quantification in formulas and other variable-binding constructs. In this book, we focus on equational logic as a fundamental and natural concept in computer science and mathematics. We present calculi for equa- tional reasoning modulo higher-order equations presented as rewrite rules. This is followed by a systematic development from general equational rea- soning towards effective calculi for declarative programming in higher-order logic and A-calculus. This aims at integrating and generalizing declarative programming models such as functional and logic programming. In these two prominent declarative computation models we can view a program as a logical theory and a computation as a deduction.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/0/81/764/032/0817640320_b.jpg", "price_data" : { "retail_price" : "109.99", "online_price" : "109.99", "our_price" : "109.99", "club_price" : "109.99", "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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