By Douglas R. Smith (auth.), Yves Deville (eds.)

This quantity comprises prolonged models of papers offered on the 3rd foreign Workshop on common sense application Synthesis and Transformation (LOPSTR ninety three) held in Louvain-la-Neuve in July 1993. a lot of the good fortune of the workshop is because of Yves Deville who served as Organizer and Chair. many folks think that computer aid for the improvement and evolution of software program will play a serious function in destiny software program engineering environments. computer help calls for the formalization of the artifacts and procedures that come up through the software program lifecycle. common sense languages are distinct in supplying a uniform declarative notation for accurately describing program domain names, software program necessities, and for prescribing habit through good judgment courses. application synthesis and transfonnation ideas formalize the method of constructing right and effective courses from requirement requirements. The traditional intersection of those fields of analysis has been the point of interest of the LOPSTR workshops. The papers during this quantity tackle many elements of software program improve­ ment together with: deductive synthesis, inductive synthesis, transforma­ tions for optimizing courses and exploiting parallelism, software research innovations (particularly through summary interpretation), meta­ programming languages and gear help, and diverse extensions to Prolog-like languages, admitting non-Horn clauses, capabilities, and constraints. regardless of the growth represented during this quantity, the transition from laboratory to perform is fraught with difficulties.

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Extra info for Logic Program Synthesis and Transformation: Proceedings of LOPSTR 93, International Workshop on Logic Program Synthesis and Transformation, Louvain-la-Neuve, Belgium, 7–9 July 1993

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It is easy to see that we can synthesise a program for deciding ord. Now, we can specify sort as follows: V(sort(L, M) ...... (ord(M) /I. perm(L, M))) . However, if we try to synthesise a sorting algorithm, we discover that ~ must be a total ordering, and we have to add the corresponding axioms to our specification framework. Again such axioms introduce new constraints on the parameter Els, which are not needed, for example for the program deciding the predicate ord. Therefore it is better to introduce a new specification framework Stolist containing the total ordering axioms on ~, and carryon in this new framework.

In such a situation, we can imagine that we start from an inadequate axiomatisation and go through an initial experimental phase, whereby this axiomatisation is changed or enriched. In our framework, this phase may be performed as specification synthesis (as we saw in Section 6), during which experimental attempts are made at specifying new relations or synthesising new programs. Let us see some examples. 1 The specification framework Slist of Section 6 may be seen as an initial stage in the process of building up a specification framework for lists.

The resulting matrix has essentially the same properties. Especially the reachability graph carries over. Thus we can use a Horn theorem prover. Nevertheless the Horn property is formally not fulfilled and common approaches would consider the general case of first-order formulae. 6Two literals L1 and L2 are called weak unifyable if new instances of them are unifyable. The overall unifier is not taken into account. 41 4 Non-Horn Clusters One question remains. How graceful is the ascent from Horn to first-order logic?

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