Finite complete rewriting systems for regular semigroups
نویسندگان
چکیده
منابع مشابه
Crystal bases , finite complete rewriting systems , and
This paper constructs presentations via finite complete rewriting systems for Plactic monoids of types An, Bn, Cn, Dn, and G2, using a unified proof strategy that depends on Kashiwara’s crystal bases and analogies of Young tableaux, and on Lecouvey’s presentations for these monoids. As corollaries, we deduce that Plactic monoids of these types have finite derivation type and satisfy the homolog...
متن کاملComplete involutive rewriting systems
Given a monoid string rewriting system M , one way of obtaining a complete rewriting system for M is to use the classical Knuth-Bendix critical pairs completion algorithm. It is well known that this algorithm is equivalent to computing a noncommutative Gröbner basis for M . This article develops an alternative approach, using noncommutative involutive basis methods to obtain a complete involuti...
متن کاملOn finite complete rewriting systems, finite derivation type, and automaticity for homogeneous monoids
This paper investigates the class of finitely presented monoids defined by homogeneous (length-preserving) relations from a computational perspective. The properties of admitting a finite complete rewriting system, having finite derivation type, being automatic, and being biautomatic are investigated for this class of monoids. The first main result shows that for any consistent combination of t...
متن کاملFinite Complete Rewriting Systems and Finite Derivation Type for Small Extensions of Monoids
Let S be a monoid and let T be a submonoid of nite index in S. The main results in this paper state that S can be presented by a nite complete rewriting system if T can, and S has nite derivation type if T has.
متن کاملRegular ordered semigroups and intra-regular ordered semigroups in terms of fuzzy subsets
Let $S$ be an ordered semigroup. A fuzzy subset of $S$ is anarbitrary mapping from $S$ into $[0,1]$, where $[0,1]$ is theusual interval of real numbers. In this paper, the concept of fuzzygeneralized bi-ideals of an ordered semigroup $S$ is introduced.Regular ordered semigroups are characterized by means of fuzzy leftideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.Finally, two m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2011
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2010.10.020