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 …

Succinct progress measures for solving parity games

M Jurdziński, R Lazić - … 32nd Annual ACM/IEEE Symposium on …, 2017 - ieeexplore.ieee.org
The recent breakthrough paper by Calude et al. has given the first algorithm for solving
parity games in quasi-polynomial time, where previously the best algorithms were mildly …

An ordered approach to solving parity games in quasi polynomial time and quasi linear space

J Fearnley, S Jain, S Schewe, F Stephan… - Proceedings of the 24th …, 2017 - dl.acm.org
Parity games play an important role in model checking and synthesis. In their paper, Calude
et al. have recently shown that these games can be solved in quasi-polynomial time. We …

Oink: An implementation and evaluation of modern parity game solvers

T van Dijk - International Conference on Tools and Algorithms for …, 2018 - Springer
Parity games have important practical applications in formal verification and synthesis,
especially to solve the model-checking problem of the modal mu-calculus. They are also …

Unique end of potential line

J Fearnley, S Gordon, R Mehta, R Savani - Journal of Computer and …, 2020 - Elsevier
The complexity class CLS was proposed by Daskalakis and Papadimitriou in 2011 to
understand the complexity of important NP search problems that admit both path following …

Neural circuit synthesis from specification patterns

F Schmitt, C Hahn, MN Rabe… - Advances in Neural …, 2021 - proceedings.neurips.cc
We train hierarchical Transformers on the task of synthesizing hardware circuits directly out
of high-level logical specifications in linear-time temporal logic (LTL). The LTL synthesis …

The 4th reactive synthesis competition (SYNTCOMP 2017): Benchmarks, participants & results

S Jacobs, N Basset, R Bloem, R Brenguier… - arXiv preprint arXiv …, 2017 - arxiv.org
We report on the fourth reactive synthesis competition (SYNTCOMP 2017). We introduce two
new benchmark classes that have been added to the SYNTCOMP library, and briefly …

Rational verification: game-theoretic verification of multi-agent systems

A Abate, J Gutierrez, L Hammond, P Harrenstein… - Applied …, 2021 - Springer
We provide a survey of the state of the art of rational verification: the problem of checking
whether a given temporal logic formula ϕ is satisfied in some or all game-theoretic equilibria …

Automating resolution is NP-hard

A Atserias, M Müller - Journal of the ACM (JACM), 2020 - dl.acm.org
We show that the problem of finding a Resolution refutation that is at most polynomially
longer than a shortest one is NP-hard. In the parlance of proof complexity, Resolution is not …

A modal μ perspective on solving parity games in quasi-polynomial time

K Lehtinen - Proceedings of the 33rd Annual ACM/IEEE Symposium …, 2018 - dl.acm.org
We present a new quasi-polynomial algorithm for solving parity games. It is based on a new
bisimulation invariant measure of complexity for parity games, called the register-index …