Deductive and Declarative Programming [Paperback]

The book can be used for graduate courses or as a reference for researchers in formal methods, theorem-proving and declarative languages.Here Dr Padawitz emphasizes verification based on logical inference rules, i.e. deduction (in contrast with model-theoretic approaches, deductive methods can be automated to some extent). His treatment of the subject differs from others in that he tries to capture the actual styles and applications of programming; neither too general with respect to the underlying logic, nor too restrictive for the practice of programming.Here Dr Padawitz emphasizes verification based on logical inference rules, i.e. deduction (in contrast with model-theoretic approaches, deductive methods can be automated to some extent). His treatment of the subject differs from others in that he tries to capture the actual styles and applications of programming; neither too general with respect to the underlying logic, nor too restrictive for the practice of programming.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.Introduction; 1. Preliminaries; 2. Guards, generators and constructors; 3. Models and correctness; 4. Computing goal solutions; 5. Inductive expansion; 6. Directed expansion and reduction; 7. Implications of ground confluence; 8. Examples; 9. EXPANDER: inductive expansion in SML; References; Index. ...promotes specification and programming on the basis of Horn logic with equality....His treatment of the subject differs from others in that he tries to capture the actual styles and applications of programming, neither too general with respect to the underlying logic, nor too restrictive for tlc<