Archive for the ‘Formal methods and proofs’ Category.

Specifying user interfaces

Many blogs including this one rely on the WordPress software. In previous states of the present page you may have noticed a small WordPress bug, which I find interesting.

“Tags” are a nifty WordPress feature. When you post a message, you can specify one or more informative “tags”. The tags of all messages appear in the right sidebar, each with a smaller or bigger font size depending on the number of messages that specified it. You can click such a tag in the sidebar and get, on the left, a page containing all the associated messages.

Now assume that many posts use a particular tag; in our example it is “Design by Contract”, not unexpected for this blog. Assume further that the tag name is long. It is indeed in this case: 18 characters. As a side note, no problem would arise if I used normal spaces in the name, which would then appear on two or three lines; precisely to avoid this  I use HTML “non-breaking spaces”. This is probably not in the WordPress spirit, but any other long tag without spaces would create the same problem. That problem is a garbled display:

dbc_overflows

The long tag overflows the bluish browser area assigned to tags, producing an ugly effect. This behavior is hard to defend: either the tag should have been rejected as too long when the poster specified it or it should fit in its zone, whether by truncation or by applying a smaller font.

I quickly found a workaround, not nice but good enough: make sure that some short tag  (such as “Hoare”) appears much more often than the trouble-making tag. Since font size indicates the relative frequency of tags, the long one will be scaled down to a smaller font which fits.

Minor as it is, this WordPress glitch raises some general questions. First, is it really a bug? Assume, by a wild stretch of imagination, that a jury had to resolve this question; it could easily find an expert to answer positively, by stating that the behavior does not satisfy reasonable user expectations, and another who notes that it is not buggy behavior since it does not appear to violate any expressly stated property of the specification. (At least I did not find in the WordPress documentation any mention of either the display size of tags or a limit on tag length; if I missed it please indicate the reference.)

Is it a serious matter? Not in this particular example; uncomely Web display does not kill.   But the distinction between “small matter of esthetics” and software fault can be tenuous. We may note in particular that the possibility for large data to overflow its assigned area is a fundamental source of security risks; and even pure user interface issues can become life-threatening in the case of critical applications such as air-traffic control.

Our second putative expert is right, however: no behavior is buggy unless it contradicts a specification. Where will the spec be in such an example? There are three possibilities, each with its limitations.

The first solution is to expect that in a carefully developed system every such property will have to be specified. This is conceivable, but hard, and the question arises of how to make sure nothing has been forgotten. Past  some threshold of criticality and effort, the only specifications that count are formal; there is not that much literature on specifying user interfaces formally, since much of the work on formal specifications has understandably concentrated on issues thought to be more critical.

Because of the tediousness of specifying such general properties again and again for each case, it might be better  — this is the second solution — to specify them globally, for an entire system, or for the user interfaces of an entire class of systems. Like any serious effort at specification, if it is worth doing, it is worth doing formally.

In either of these approaches the question remains of how we know we have specified everything of interest. This question, specification completeness, is not as hopeless as most people think; I plan to write an entry about it sometime (hint:  bing for “guttag horning”). Still, it is hard to be sure you did not miss anything relevant. Remember this the next time formal methods advocates — who should know better — tell you that with their techniques there “no longer is a need to test”, or when you read about the latest OS kernel that is “guaranteed correct and secure”. However important formal methods and proofs are, they can only guarantee satisfaction of the properties that the specifier has considered and stated. To paraphrase someone [1], I would venture that

Proofs can only show the absence of envisaged bugs, never rule out the presence of unimagined ones.

This is one of the reasons why tests will always, regardless of the progress of proofs, remain an indispensable part of the software development landscape [2]. Whatever you have specified and proved, you will still want to run the system (or, for certain classes of embedded software, some simulation of it) and see the results for yourself.

What then if we do not explicitly specify the desired property (as we did in the two approaches considered so far) but testing or actual operation still reveals some behavior that is clearly unsatisfactory? On what basis do we complain to the software’s producer? A solution here, the third in our list, might be to rely on generally accepted standards of professional development. This is common in other kinds of engineering: if you commission someone to build you a house, the contract may not explicitly state that the roof should not fall on your head while you are asleep; when this happens, you will still sue and accuse the builder of malpractice. Such remedies can work for software too, but the rules are murkier because we have not accepted, or even just codified, a set of general professional practices that would cover such details as “no display of information should overflow its assigned area”.

Until then I will remember to use one short tag a lot.

References

[1] Edsger W. Dijksra, Notes on Structured Programming, in Dahl, Dijkstra, Hoare, Structured Programming, Academic Press, 1972.

[2]  See Tests And Proofs (TAP) conference series, since 2007. The next conference, program-chaired by Angelo Gargantini and Gordon Fraser, will take place in the week of the TOOLS Federated Conferences in Málaga, Spain, in the week of June 28, 2010.

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“Touch of Class” published

My textbook Touch of Class: An Introduction to Programming Well Using Objects and Contracts [1] is now available from Springer Verlag [2]. I have been told of many bookstores in Europe that have it by now; for example Amazon Germany [3] offers immediate delivery. Amazon US still lists the book as not yet published [4], but I think this will be corrected very soon.

touch_of_class

The book results from six years of teaching introductory programming at ETH Zurich. It is richly illustrated in full color (not only with technical illustrations but with numerous photographs of people and artefacts). It is pretty big, but designed so that a typical one-semester introductory course can cover most of the material.

Many topics are addressed (see table of contents below), including quite a few that are seldom seen at the introductory level. Some examples, listed here in random order: a fairly extensive introduction to software engineering including things like requirements engineering (not usually mentioned in programming courses, with results for everyone to see!) and CMMI, a detailed discussion of how to implement recursion, polymorphism and dynamic binding and their role for software architecture, multiple inheritance, lambda calculus (at an introductory level of course), a detailed analysis of the Observer and Visitor patterns, event-driven programming, the lure and dangers of references and aliasing, topological sort as an example of both algorithm and API design, high-level function closures, software tools, properties of computer hardware relevant for programmers, undecidability etc.

The progression uses an object-oriented approach throughout; the examples are in Eiffel, and four appendices present the details of Java, C#, C++ and C. Concepts of Design by Contract and rigorous development are central to the approach; for example, loops are presented as a technique for computing a result by successive approximation, with a central role for the concept of loop invariant. This is not a “formal methods” book in the sense of inflicting on the students a heavy mathematical apparatus, but it uses preconditions, postconditions and invariants throughout to alert them to the importance of reasoning rigorously about programs. The discussion introduces many principles of sound design, in line with the book’s subtitle, “Learning to Program Well”.

The general approach is “Outside-In” (also known as “Inverted Curriculum” and described at some length in some of my articles, see e.g. [5]): students have, right from the start, the possibility of working with real software, a large (150,000-line) library that has been designed specifically for that purpose. Called Traffic, this library simulates traffic in a city; it is graphical and of good enough visual quality to be attractive to today’s “Wii generation” students, something that traditional beginners’ exercises, like computing the 7-th Fibonacci number, cannot do (although we have these too as well). Using the Traffic software through its API, students can right from the first couple of weeks produce powerful applications, without understanding the internals of the library. But they do not stop there: since the whole thing is available in open source, students learn little by little how the software is made internally. Hence the name “Outside-In”: understand the interface first, then dig into the internals. Two advantages of the approach are particularly worth noting:

  • It emphasizes the value of abstraction, and particular contracts, not by preaching but by showing to students that abstraction helps them master a large body of professional-level software, doing things that would otherwise be unthinkable at an introductory level.
  • It addresses what is probably today the biggest obstacle to teaching introductory programming: the wide diversity of initial student backgrounds. The risk with traditional approaches is either to fly too high and lose the novices, or stay too low and bore those who already have programming experience. With the Outside-In method the novices can follow the exact path charted from them, from external API to internal implementation; those who already know something about programming can move ahead of the lectures and start digging into the code by themselves for information and inspiration.

(We have pretty amazing data on students’ prior programming knowledge, as  we have been surveying students for the past six years, initially at ETH and more recently at the University of York in England thanks to our colleague Manuel Oriol; some day I will post a blog entry about this specific topic.)

The book has been field-tested in its successive drafts since 2003 at ETH, for the Introduction to Programming course (which starts again in a few weeks, for the first time with the benefit of the full text in printed form). Our material, such as a full set of slides, plus exercises, video recordings of the lectures etc. is available to any instructor selecting the text. I must say that Springer did an outstanding job with the quality of the printing and I hope that instructors, students, and even some practitioners already in industry will like both form and content.

Table of contents

Front matter: Community resource, Dedication (to Tony Hoare and Niklaus Wirth), Prefaces, Student_preface, Instructor_preface, Note to instructors: what to cover?, Contents

PART I: Basics
1 The industry of pure ideas
2 Dealing with objects
3 Program structure basics
4 The interface of a class
5 Just Enough Logic
6 Creating objects and executing systems
7 Control structures
8 Routines, functional abstraction and information hiding
9 Variables, assignment and references
PART II: How things work
10 Just enough hardware
11 Describing syntax
12 Programming languages and tools
PART III: Algorithms and data structures
13 Fundamental data structures, genericity, and algorithm complexity
14 Recursion and trees
15 Devising and engineering an algorithm: Topological Sort
PART IV: Object-Oriented Techniques
16 Inheritance
17 Operations as objects: agents and lambda calculus
18 Event-driven design
PART V: Towards software engineering
19 Introduction to software engineering
PART VI: Appendices
A An introduction to Java (from material by Marco Piccioni)
B An introduction to C# (from material by Benjamin Morandi)
C An introduction to C++ (from material by Nadia Polikarpova)
D From C++ to C
E Using the EiffelStudio environment
Picture credits
Index

References

[1] Bertrand Meyer, Touch of Class: An Introduction to Programming Well Using Objects and Contracts, Springer Verlag, 2009, 876+lxiv pages, Hardcover, ISBN: 978-3-540-92144-8.

[2] Publisher page for [1]: see  here. List price: $79.95. (The page says “Ships in 3 to 4 weeks” but I think this is incorrect as the book is available; I’ll try to get the mention corrected.)

[3] Amazon.de page: see here. List price: EUR 53.45 (with offers starting at EUR 41.67).

[4] Amazon.com page: see here. List price: $63.96.

[5] Michela Pedroni and Bertrand Meyer: The Inverted Curriculum in Practice, in Proceedings of SIGCSE 2006, ACM, Houston (Texas), 1-5 March 2006, pages 481-485; available online.

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