Complexity of Membership and Non-Emptiness Problems in Unbounded Memory Automata

Autor: Bertrand, Clément, Di Giusto, Cinzia, Klaudel, Hanna, Regnault, Damien
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We study the complexity relationship between three models of unbounded memory automata: nu-automata ($\nu$-A), Layered Memory Automata (LaMA)and History-Register Automata (HRA). These are all extensions of finite state automata with unbounded memory over infinite alphabets. We prove that the membership problem is NP-complete for all of them, while they fall into different classes for what concerns non-emptiness. The problem of non-emptiness is known to be Ackermann-complete for HRA, we prove that it is PSPACE-complete for $\nu$-A.
Databáze: arXiv