Get 4th Refinement Workshop: Proceedings of the 4th Refinement PDF

By Robert Worden (auth.), Joseph M. Morris PhD, Roger C. Shaw (eds.)

ISBN-10: 1447137566

ISBN-13: 9781447137566

ISBN-10: 3540196579

ISBN-13: 9783540196570

This quantity includes the complaints ofthe 4th Refinement Workshop which was once organised by way of the British machine Society professional crew in Formal facets of Computing technological know-how and held in Wolfson collage, Cambridge, on September 11 January, 1991. The time period refinement embraces the speculation and perform of utilizing formal equipment for specifying and enforcing and software program. many of the achievements to this point within the box were in constructing the theoretical framework for mathematical ways to programming, and at the sensible part in officially specifying software program, whereas extra lately we've seen the improvement of functional methods to deriving courses from their requirements. The workshop offers a good photograph of the cutting-edge: it offers new theories for reasoning approximately software program and and case stories in employing recognized concept to fascinating small-and medium-scale difficulties. we are hoping the e-book could be Of curiosity either to researchers in formal equipment, and to software program engineers in who are looking to hold abreast of attainable purposes of formal equipment in undefined. The programme consisted either one of invited talks and refereed papers. The invited audio system have been Ib S0rensen, Jean-Raymond Abrial, Donald MacKenzie, Ralph again, Robert Milne, Mike learn, Mike Gordon, and Robert Worden who gave the introductory speak. this is often the 1st refinement workshop that solicited papers for refereeing, and regardless of a slightly past due demand papers the reaction was once excellent.

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Extra info for 4th Refinement Workshop: Proceedings of the 4th Refinement Workshop, organised by BCS-FACS, 9–11 January 1991, Cambridge

Sample text

From this point of view, the program is searching for a satisfactory index rather than the value v. In this section we will assume the extra declarations: [V] ar: M .. N -+ V v:V 1= {n: M .. N I ar(n) = v} We can now refine the selection command. This means simplifying the guard: SI n {n : M .. N I ar( n) = v} =I {} ¢=} {n: SI n M .. N I ar(n) = v} =I {} ¢=} v E arO SI D The notation arO SI Dstands for the set of array values whose indices are in the set S1. In the linear search, we know that, at the point of selection, hil = 10.

Usually, a representation of the data type is selected that exploits the extra assumptions. However, much of the design is independent of the assumptions, just as it is independent of the representation that the assumptions permit. It is suggested here that greater generality (and thus possibility for reuse) is achieved by carrying out the early part of the refinement at the higher level of abstraction, and without the extra assumptions being available. Only when it is important to exploit them do they need to be introduced.

R hil : Z. hi! : [#lo .. hi > 1, {} c 10.. hi1 c lo .. hi]; if 10 .. hi1 n I =I {} - t la, hi := 10, hil [l10 .. hi1 n I = {} - t 10, hi = hil + 1, hi fi od; d: [#lo .. hi = I,d E lo .. hi] (ix) (x) (xi) Non-Back-Tracking Search Interval Search Since the abstract variables are determined by the concrete ones, the data refinement above can be performed simply by substituting the appropriate expression for each of the abstract variables. As it stands, this is hardly an executable program. However many of the expressions can be simplified using the laws of integer arithmetic.

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4th Refinement Workshop: Proceedings of the 4th Refinement Workshop, organised by BCS-FACS, 9–11 January 1991, Cambridge by Robert Worden (auth.), Joseph M. Morris PhD, Roger C. Shaw (eds.)


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