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This book presents a unifying approach to semantical concepts and deductive methods used in recursive, equational and logic programming, data type specification and automated theorem-proving. The common background is Horn logic with equality. Although this logic does not cover the full first-order logic, it supplies us with a language that allows "natural" problem specifications, offers several semantical views (functional, relational, inductive, behavioural, etc.) and puts at our disposal a number of more or less special-purpose deductive methods, which can be used as rapid prototyping...

In this book, the author develops deduction-oriented methods for reasoning about functional and logic programs. The methods are based on the inductive theories of suitable data type specifications and exploit both classical theorem-proving and term rewriting. Detailed examples accompany the development of the methods, and their use is supported by a prototyping system that is documented at the end of the book.