TAILIEUCHUNG - Lecture Programming languages (2/e): Chapter 18d - Tucker, Noonan

Chapter 18d - Correctness of functional programs. This section addresses the question of program correctness functional programming. We visit the question of how to prove a program conect for the special case when it is written in a pure functional program-one that is state-less and relies instead on functional composition and recursion as a foundation for its semantics. | Programming Languages 2nd edition Tucker and Noonan Chapter 18 Program Correctness To treat programming scientifically, it must be possible to specify the required properties of programs precisely. Formality is certainly not an end in itself. The importance of formal specifications must ultimately rest in their utility - in whether or not they are used to improve the quality of software or to reduce the cost of producing and maintaining software. J. Horning Contents Axiomatic Semantics Formal Methods Tools: JML Correctness of Object-Oriented Programs Correctness of Functional Programs Recursion and Induction Examples of Structural Induction Correctness of Functional Programs Pure functional programs are more accessible to correctness proofs than imperative or OO programs. Three major reasons: Pure functional programs are state-free (no assignment), Functions and variables mathematical ideas, and Recursion aligns well with proof by induction. Recursion and Induction Consider the Haskell function: > fact n >

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