本文给出了可消d-半环上加权自动机的极小确定化算法及其证明。通过定义加权自动机的等价状态,利用状态集上的等价关系和极大分解给出了可消d-半环上加权自动机的完备极小确定化算法,并给出了该算法的详细证明。
The minimal deterministic algorithm of weighted automata and its proof on the cancellative d-semiring are given in this paper. Through the equivalent relation on states of weighted automata and maximal factorization, the complete minimal deterministic algorithm of weighted automata is given, including its proof in detail.