By K. R. M. Leino (auth.), David Gries, Willem-Paul de Roever (eds.)

This publication constitutes the lawsuits of the IFIP operating convention professional­ COMET'98, held 8-12 June 1998 at guard Island, N.Y. The convention is prepared by way of the t'wo IFIP TC 2 operating teams 2.2 Formal Description of Programming ideas and 2.3 Programming technique. WG2.2 and WG2.3 were organizing those meetings each 4 years for over two decades. the purpose of such operating meetings prepared by means of IFIP operating teams is to assemble major scientists in a given zone of machine technology. Participation is through invitation purely. hence, those meetings distinguish themselves from different conferences via wide and useful technical discus­ sions. PROCOMET stands for Programming thoughts and techniques, indicating that the realm of debate for the convention is the formal description of professional­ gramming suggestions and strategies, their software help, and their functions. At PROCOMET operating meetings, papers are awarded from this complete quarter, reflecting the curiosity of the participants in WG2.2 and WG2.3.

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Additional info for Programming Concepts and Methods PROCOMET ’98: IFIP TC2 / WG2.2, 2.3 International Conference on Programming Concepts and Methods (PROCOMET ’98) 8–12 June 1998, Shelter Island, New York, USA

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If a E V is finite, then rg( a) denotes max{ rg(/1) I f) E a}. We denote by IV In the set of atoms of V whose rank is smaller of equal to n. x is given by, (omitting G, up to the isomorphism), { {({a}, a)} I a E lVI} U {0}. x]p 0 I "fEIVIn}={{({a},a)} I rg(a)

This implies (B)~h) E A~n) for all B E A(N). Moreover let (f; a) = pp~n)(A). We have by the Approximation Theorem and Lemma 30 that r 1-t M: a and r ift N: a. e. for two arbitrary terms M, N with different t-trees, we can always find a basis rand a type a such that r 1-t M : a and r ift N : a, or vice versa. The less easy case is that oft E {e, i}. In this case we take an approximate normal form A such that A E At(M) and there is no B E At ( N) such that A ~t B (or vice versa). Let h be the height of 7f (A) and n be so big that A, (N)~h) E An).

Annals of Pure and Applied Logic 24, 153-188. -H. L. (1992), Lazy lambda calculus: Theories, models and local structure characterization, in W. , 'Automata, Languages and Programming, LNCS 623', Springer Verlag. , Ronchi della Rocca, S. & Roversi, L. , Springer-Verlag, pp. 302-318. Wadsworth, C. P. ' SIAM Journal of Computing 7(3), 337-356. BIOGRAPHY Olivier Bastonero was born in Paris (France) in 1966. Master in mathematics at the University Paris VII in 1990. D in Mathematics at the University of Paris VII in December 1996.

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