@InProceedings{ ber95, author = "Michael Bertol", address = "Heidelberg", booktitle = "Proc. 10th Fundamentals of Computation Theory (FCT~'95), Dresden (Germany) 1995", publisher = "Springer-Verlag", series = "Lecture Notes in Computer Science", volume = "965", editor = "H. Reichel", title = "Efficient rewriting in cograph trace monoids", pages = "146--155", year = "1995", abstract = "We consider the basic problem of finding irreducible forms w.r.t.\ a finite noetherian rewriting system over a free partially commutative monoid where the underlying dependence alphabet is a cograph. A linear time algorithm is developed which determines irreducible normal forms w.r.t.\ finite, length-reducing trace rewriting systems over cograph monoids. This generalizes well-known results for free monoids and commutative monoids and is a significant improvement to the previously known square time algorithm.", doi = "10.1007/3-540-60249-6_47" }