The reachability problem for two-dimensional vector addition systems with states

The reachability problem for two-dimensional vector addition systems with states

We prove that the reachability problem for two-dimensional vector addition systems with states is NL-complete or PSPACE-complete, depending on whether the numbers in the input are encoded in unary or binary. As a key underlying technical result, we show that, if a configuration is reachable, then th...

Mô tả đầy đủ

Chi tiết về thư mục
Những tác giả chính: Blondin, M, Englert, M, Finkel, A, Göller, S, Haase, C, Lazic, R, McKenzie, P, Totzke, P
Định dạng: Journal article
Ngôn ngữ:English
Được phát hành: Association for Computing Machinery 2021
Miêu tả
Tóm tắt:We prove that the reachability problem for two-dimensional vector addition systems with states is NL-complete or PSPACE-complete, depending on whether the numbers in the input are encoded in unary or binary. As a key underlying technical result, we show that, if a configuration is reachable, then there exists a witnessing path whose sequence of transitions is contained in a bounded language defined by a regular expression of pseudo-polynomially bounded length. This, in turn, enables us to prove that the lengths of minimal reachability witnesses are pseudo-polynomially bounded.

Những quyển sách tương tự