Basing on the definitions from [15], semi-Thue systems, Thue systems, and direct derivations are introduced. Next, the standard reduction relation is defined that, in turn, is used to introduce derivations using the theory from [1]. Finally, languages generated by rewriting systems are defined as all strings reachable from an initial word. This is followed by the introduction of the equivalence of semi-Thue systems with respect to the initial word.
@article{bwmeta1.element.doi-10_2478_v10037-007-0013-8, author = {Micha\l\ Trybulec}, title = {String Rewriting Systems}, journal = {Formalized Mathematics}, volume = {15}, year = {2007}, pages = {121-126}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-007-0013-8} }
Michał Trybulec. String Rewriting Systems. Formalized Mathematics, Tome 15 (2007) pp. 121-126. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-007-0013-8/
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