The Word Problem for $(\omega - 1)$-Terms over $\mathrm{DAb}$

Autor: Almeida, Jorge, Kufleitner, Manfred, Wächter, Jan Philipp
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We give a ranker-based description using finite-index congruences for the variety $\boldsymbol{\mathrm{DAb}}$ of finite monoids whose regular $\mathcal{D}$-classes form Abelian groups. This combinatorial description yields a normal form for general pseudowords over $\boldsymbol{\mathrm{DAb}}$. For $(\omega - 1)$-terms, this normal form is computable, which yields an algorithm for the word problem for $(\omega - 1)$-terms of $\boldsymbol{\mathrm{DAb}}$.
Databáze: arXiv