When a little nondeterminism goes a long way: An introduction to history-determinism

U Boker, K Lehtinen - ACM SIGLOG News, 2023 - dl.acm.org
History-deterministic automata are an intermediate automata model, in between
deterministic and nondeterministic ones. An automaton is history-deterministic if its …

Using the past for resolving the future

O Kupferman - Frontiers in Computer Science, 2023 - frontiersin.org
Nondeterminism models an ability to see the future: An automaton with an infinite look
ahead can successfully resolve its nondeterministic choices. An automaton is history …

On the size of good-for-games Rabin automata and its link with the memory in Muller games

A Casares, T Colcombet, K Lehtinen - arXiv preprint arXiv:2204.11333, 2022 - arxiv.org
In this paper, we look at good-for-games Rabin automata that recognise a Muller language
(a language that is entirely characterised by the set of letters that appear infinitely often in …

History determinism vs. good for gameness in quantitative automata

U Boker, K Lehtinen - arXiv preprint arXiv:2110.14238, 2021 - arxiv.org
Automata models between determinism and nondeterminism/alternations can retain some of
the algorithmic properties of deterministic automata while enjoying some of the …

[PDF][PDF] Token games and history-deterministic quantitative automata

U Boker, K Lehtinen - … on Foundations of Software Science and …, 2022 - library.oapen.org
A nondeterministic automaton is history-deterministic if its nondeterminism can be resolved
by only considering the prefix of the word read so far. Due to their good compositional …

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 …

History-deterministic timed automata

TA Henzinger, K Lehtinen, P Totzke - CONCUR, 2022 - hal.science
We explore the notion of history-determinism in the context of timed automata (TA).
Historydeterministic automata are those in which nondeterminism can be resolved on the fly …

Checking History-Determinism is NP-hard for Parity Automata

A Prakash - International Conference on Foundations of Software …, 2024 - Springer
We show that the problem of checking if a given nondeterministic parity automaton simulates
another given nondeterministic parity automaton is NP-hard. We then adapt the techniques …

[PDF][PDF] On History-Deterministic One-Counter Nets.

A Prakash, KS Thejaswini - FoSSaCS, 2023 - library.oapen.org
We consider the model of history-deterministic one-counter nets (OCNs). History-
determinism is a property of transition systems that allows for a limited kind of non …

History-deterministic vector addition systems

S Bose, D Purser, P Totzke - arXiv preprint arXiv:2305.01981, 2023 - arxiv.org
We consider history-determinism, a restricted form of non-determinism, for Vector Addition
Systems with States (VASS) when used as acceptors to recognise languages of finite words …