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Abstract: Genetics Department and Research Institute, Hospital for Sick Children, Toronto, Ontario, Canada.
The objective of multi-use telescopes is to reduce the initial and operational costs of space telescopes to the point where a fair number of telescopes, a dozen or so, would be affordable. The basic approach is to develop a common telescope, control system, and power and communications subsystem that can be used with a wide variety of instrument payloads, i.e., imaging CCD cameras, photometers, spectrographs, etc. By having such a multi-use and multi-user telescope, a common practice for earth-based telescopes, development cost can be shared ac...
The objective of multi-use telescopes is to reduce the initial and operational costs of space telescopes to the point where a fair number of telescopes, a dozen or so, would be affordable. The basic approach is to develop a common telescope, control system, and power and communications subsystem that can be used with a wide variety of instrument payloads, i.e., imaging CCD cameras, photometers, spectrographs, etc. By having such a multi-use and multi-user telescope, a common practice for earth-based telescopes, development cost can be shared ac...
: We present here decidable approximations of sets of descendants and sets of normal forms of Term Rewriting Systems, based on specific tree automata techniques. In the context of rewriting logic, a Term Rewriting System is a program, and a normal form is a result of the program. Thus, approximations of sets of descendants and sets of normal forms provide tools for analysing a few properties of programs: we show how to compute a superset of results, to prove the sufficient completeness property, or to find a criterion for proving termination un...
We present Timbuk a tree automata library which implements usual operations on tree automata as well as a completion algorithm used to compute an overapproximation of the set of descendants R (E) for a regular set E and a term rewriting system R, possibly non linear and non terminating. On several examples of term rewriting systems representing programs and systems to verify, we show how to use Timbuk to construct their approximations and then prove unreachability properties of these systems.
We present Timbuk a tree automata library which implements usual operations on tree automata as well as a completion algorithm used to compute an overapproximation of the set of descendants R (E) for a regular set E and a term rewriting system R, possibly non linear and non terminating. On several examples of term rewriting systems representing programs and systems to verify, we show how to use Timbuk to construct their approximations and then prove unreachability properties of these systems.
: We present here an algorithm for proving termination of term rewriting systems by gpo ordering constraint solving. The algorithm gives, as automatically as possible, an appropriate instance of the gpo generic ordering, proving termination of a given system. Constraint solving is done efficiently thanks to a DAG shared term data structure. Key-words: Term Rewriting, Termination Proof, Ordering Constraint Solving (R'esum'e : tsvp) Email:fThomas.Genet,Isabelle.Gnaedigg@loria.fr, http://www.loria.fr/equipe/protheo.html Unite de recherche INRIA Lo...