Abstract
A bisemigroup consists of a set of elements and two associative operations. A bimonoid is a bisemigroup which has an identity to each associative operation. A binoid is a bimonoid which has the same identity to the two associative operations. In a previous paper, we introduced these three notions, and studied formal languages over free binoids (which are subsets of a free binoid where any element of a free binoid is denoted by its standard form which is a sequence of symbols). In this paper, we introduce a class of expressions called regular binoid expressions and show that any binoid language denoted by a regular binoid expression can be regarded to be a set of the standard forms of elements of a free binoid which can be recognized as a regular (monoid) language.
| Original language | English |
|---|---|
| Pages (from-to) | 291-313 |
| Number of pages | 23 |
| Journal | Theoretical Computer Science |
| Volume | 304 |
| Issue number | 1-3 |
| DOIs | |
| Publication status | Published - Jul 28 2003 |
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Keywords
- Binoids
- Regular binoid expressions
- Regular languages
- Right linear grammars
ASJC Scopus subject areas
- Computational Theory and Mathematics