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Titlebook: Rewriting Techniques and Applications; 19th International C Andrei Voronkov Conference proceedings 2008 Springer-Verlag Berlin Heidelberg 2

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Usable Rules for Context-Sensitive Rewrite Systems,restricted class of systems. In this paper, we introduce a notion of usable rules that can be used in proofs of termination of CSR with arbitrary systems. Our benchmarks show that the performance of the CS-DP approach is much better when such usable rules are considered in proofs of termination of CSR.
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Linear-algebraic ,-calculus: higher-order, encodings, and confluence.,ugh the two fundamental requirements that the language be a language of linear operators, and that it be higher-order. We mention the perspectives of this work in the field of quantum computation, whose circuits we show can be easily encoded in the calculus. Finally we prove the confluence of the calculus, this is our main result.
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Diagram Rewriting for Orthogonal Matrices: A Study of Critical Peaks,to obtain the algebraic properties of ., we study the confluence of critical peaks (or critical pairs) for our rewrite system. For that purpose, we introduce . describing the calculation of angles of rotations generated by rewriting. In particular, one of those properties is related to the . (also called Zamolodchikov equation).
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