Field Theory, Quantization and Statistical Physics: In by C. Becchi, A. Rouet, A. Stora (auth.), E. Tirapegui (eds.)

By C. Becchi, A. Rouet, A. Stora (auth.), E. Tirapegui (eds.)

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Versions are presently available for IBM 360 and 370, PDP 10 and 20, Univac 1100, Burroughs 6700. It has recently been implemented on a Honeywell-Bull [30]. Although mainly suitable for interactive use, it can also be run in batch mode. 2. SCHOONSCHIP This system [15] written in COMPASS (assembly code) by Veltman for the CDC 6000/7000 is much appreciated by all its users. Indeed its programming style is very simple to learn and it is very efficient. It makes use of the technology of the CDC mainly the rapid access to magnetic storage of information.

In this domain there is no single dominant system. If the priority is transportability between different computers, a possible choice could be LISP [23] (acronym for List Processor). Indeed a LISP system is available on almost all computers, including mini ones (PDP 11, SOLAR ... ). Although they may have quite different syntaxes, programs are easily adapted by automatic translation. Another reason 44 J. CALMET and A. VISCONTI for choosing LISP is that for many years it was the only language available on some computers to do high energy physics calculations (Univac 1100 for instance until 1975).

It is closely related to the concept of integration is closed forms. The conclusion of this brief review is that if during the recent years users had the impression that no progress was being made in the domain of symbolic integration, in fact an impressive amount of work has been successfully carried out. 3. COMPUTER ALGEBRA SYSTEMS The choice of a language to perform numerical calculations is obvious and its name is FORTRAN. The situation is very different for symbolic computations. In this domain there is no single dominant system.

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