By Ryszard Kubiak; Roman Rudzinski; Stefan Sokolowski

ISBN-10: 0124276202

ISBN-13: 9780124276208

A function of contemporary complicated computing is the useful method of programming. during this publication, the authors current an creation to the math which underline useful programming, emphasizing the certainty of definition and specification--a prerequisite of excellent programming and challenge fixing with a working laptop or computer. The publication is self-contained, requiring a low point of mathematical sophistication and will be used as an creation to the maths of programming.

Provides an advent to the sensible method of programming**Emphasizes the matter to be solved, no longer the programming language**Takes the view that every one desktop courses are a definition of a function**Includes routines for every chapter**Can be used as a pre-programming language creation to the math of computing.

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Extra resources for An introduction to programming with specifications : a mathematical approach

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If there are n o S p a n i s h d a n c e s , it refers us t o a n o n - e x i s t i n g o b j e c t . E v e n if there e x i s t e d precisely o n e S p a n i s h d a n c e , it w o u l d b e clearer t o define t h e c a c h u c h a as "the o n l y existing Spanish dance". 1) m a y b e u n d e r s t o o d as Cachucha is a n y S p a n i s h d a n c e . w h i c h m e a n s t h e n o t i o n s "cachucha" a n d "Spanish dance" are s y n o n y m s , so any S p a n i s h d a n c e deserves t o b e called c a c h u c h a .

2 Operators t h a t bind variables In one respect the LET expressions are similar to other notations used in mathematics: LET is a variable binding operator. Here are examples of other variable binding operators you may be familiar with: • quantifier: Vn : Nat. η + 0 = η ι • integral: J ο x e dx η • summation: ^ 1/i • set comprehension: { / : Real —• Real | / ( 0 ) = 0} These four different expressions have one feature in common: each one contains a "dummy" variable (respectively: n, x, i and / ) that has no meaning outside it.

4 ) . 3. Function specifications and realizations 25 In t h e sequel w e will n o t consider t h e n a m i n g c o n v e n t i o n s u s e d in t h e c u s t o m e r ' s specifications as b i n d i n g . 4) as definition ( 2 . 5 ) . W h a t m a t t e r s is t h e very n a t u r e of a m a t h e ­ m a t i c a l o b j e c t p r o v i d e d , not its n a m e . W e e n d t h i s s e c t i o n w i t h a n u m b e r of e x a m p l e s of s p e c i f i c a t i o n s a n d their p o s s i b l e realizations.

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An introduction to programming with specifications : a mathematical approach by Ryszard Kubiak; Roman Rudzinski; Stefan Sokolowski


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