Computer Science – Logic in Computer Science
Scientific paper
2009-11-20
Proc. of 5th International Workshop on Rewriting Logic and its Applications 2004 (WRLA) and ENTCS 117, 249-261, (2005).
Computer Science
Logic in Computer Science
14 pages, latex
Scientific paper
We usually define an algebraic structure by a set, some operations defined on this set and some propositions that the algebraic structure must validate. In some cases, we can replace these propositions by an algorithm on terms constructed upon these operations that the algebraic structure must validate. We show in this note that this is the case for the notions of vectorial space and bilinear operation. KEYWORDS: Rewrite system, vector space, bilinear operation, tensorial product, semantics, quantum programming languages, probabilistic programming languages.
Arrighi Pablo
Dowek Gilles
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