Unambiguity in automata theory

T Colcombet - International Workshop on Descriptional Complexity of …, 2015 - Springer
Determinism of devices is a key aspect throughout all of computer science, simply because
of considerations of efficiency of the implementation. One possible way (among others) to …

History-deterministic parikh automata

E Erlich, M Grobler, S Guha, I Jecker… - arXiv preprint arXiv …, 2022 - arxiv.org
Parikh automata extend finite automata by counters that can be tested for membership in a
semilinear set, but only at the end of a run. Thereby, they preserve many of the desirable …

Parikh automata over infinite words

S Guha, I Jecker, K Lehtinen… - arXiv preprint arXiv …, 2022 - arxiv.org
Parikh automata extend finite automata by counters that can be tested for membership in a
semilinear set, but only at the end of a run, thereby preserving many of the desirable …

Affine extensions of integer vector addition systems with states

M Blondin, C Haase, F Mazowiecki… - Logical Methods in …, 2021 - lmcs.episciences.org
We study the reachability problem for affine Z-VASS, which are integer vector addition
systems with states in which transitions perform affine transformations on the counters. This …

Language inclusion for boundedly-ambiguous vector addition systems is decidable

W Czerwiński, P Hofman - arXiv preprint arXiv:2202.08033, 2022 - arxiv.org
We consider the problems of language inclusion and language equivalence for Vector
Addition Systems with States (VASSes) with the acceptance condition defined by the set of …

Regular separability of Parikh automata

L Clemente, W Czerwiński, S Lasota… - arXiv preprint arXiv …, 2016 - arxiv.org
We investigate a subclass of languages recognized by vector addition systems, namely
languages of nondeterministic Parikh automata. While the regularity problem (is the …

Monoids as storage mechanisms

G Zetzsche - 2016 - kluedo.ub.rptu.de
Automata theory has given rise to a variety of automata models that consist of a finite-state
control and an infinite-state storage mechanism. The aim of this work is to provide insights …

Bidimensional linear recursive sequences and universality of unambiguous register automata

C Barloy, L Clemente - arXiv preprint arXiv:2101.01033, 2021 - arxiv.org
We study the universality and inclusion problems for register automata over equality data.
We show that the universality and the inclusion problems can be solved with 2-EXPTIME …

[PDF][PDF] Counter machines with infrequent reversals

A Finkel, SN Krishna, K Madnani… - 43rd IARCS Annual …, 2023 - pure.mpg.de
Bounding the number of reversals in a counter machine is one of the most prominent
restrictions to achieve decidability of the reachability problem. Given this success, we …

Weakly-unambiguous Parikh automata and their link to holonomic series

A Bostan, A Carayol, F Koechlin… - ICALP 2020-47th …, 2020 - inria.hal.science
We investigate the connection between properties of formal languages and properties of
their generating series, with a focus on the class of\emph {holonomic} power series. We first …