TAILIEUCHUNG - The Design Of Functional Programs - A Calculational Approach

he Design of Functional Programs - A Calculational ApproachAuthor : Dr. Robert Richard Hoogerwoord, Distributed Systems Group, Technische Universiteit EindhovenPublication Date : 1989 This document was suggested by John PintoDocument Excerpts:It is well-known that there is only one way to establish the correctness of a computer program, namely by rigorous mathematical proof. Acceptance of this f | The design of functional programs a calculalional approach PROEFSCHRIFT ter verkrijging van de graod van doctor aan de Technische Universiteit Eindhoven op gezag van de Rector ỉĩlagni ficus prof. ir. m. Tels voor een commissie aangeuiezen door het Coliege van Dekanen in het openbaar te verdedigen op dinsdag 19 decertiber 1989 te uur door ROBERT RICHARD H00GERW00RD geboren te Gorinchem Dit proefschrift is goedgekeurd door de promotorcn prof. dr. m. Ftem er prof. dr. . Kruseman Rretz Contents 0 Introduction 0 The subject of this monograph 0 On the functional-program notation 1 The structure of this monograph 3 Notational and mathematical conventions 3 1 The basic formalism e Introduction 8 Values and expressions 9 Intermezzo on combinatory logic 12 The dot postulate 13 LUhere-ctauses 14 Free names programs and substitution 17 multiple definitions 19 Proof and manipulation rules 20 introduction and Elimination of mhere-clauses 20 folding and unfolding 22 shunting 23 Specifications programming and modularisation 24 Functions 26 Types 2S On recursion 31 Examples 33 2 Ths program notation 38 Introduction 38 On types and operators 38 Function composition 40 The types Bool Nat and Int 40 The relational operators 42 Guarded selections 43 Tuples 47 Parameter and definition patterns .

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