论文标题

明确的瓦斯的普遍问题

Universality Problem for Unambiguous VASS

论文作者

Czerwiński, Wojciech, Figueira, Diego, Hofman, Piotr

论文摘要

我们研究了明确的VASS语言,即与状态的矢量增加系统,其过渡读取了有限字母的字母,并且其接受条件是由一组最终状态(即覆盖性语言)定义的。我们表明,明确的VASS的普遍性问题是Expass-Complete,与Ackermann的完整性形成了鲜明的对比,即使在维度1中。

We study languages of unambiguous VASS, that is, Vector Addition Systems with States, whose transitions read letters from a finite alphabet, and whose acceptance condition is defined by a set of final states (i.e., the coverability language). We show that the problem of universality for unambiguous VASS is ExpSpace-complete, in sheer contrast to Ackermann-completeness for arbitrary VASS, even in dimension 1. When the dimension d is fixed, the universality problem is PSpace-complete if d is at least 2, and coNP-hard for 1-dimensional VASSes (also known as One Counter Nets).

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