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Routes and Products of Monoids

Mateescu A., Freund R.

Fundamenta Informaticae

2006

Vol. 73, nr 1-2

205-211

We investigate the problem of finding monoids that recognize languages of the form L1\JoinTL2 where T is an arbitrary set of routes. We present a uniform method based on routes to find such monoids. Many classical operations from the theory of formal languages, such as catenation, bi-catenation, simple splicing, shuffle, literal shuffle, and insertion are shown to be just particular instances of the operation T.