Games where you can play optimally with arena-independent finite memory

P Bouyer, S Le Roux, Y Oualhadj… - Logical Methods in …, 2022 - lmcs.episciences.org
For decades, two-player (antagonistic) games on graphs have been a framework of choice
for many important problems in theoretical computer science. A notorious one is controller …

Qualitative controller synthesis for consumption Markov decision processes

F Blahoudek, T Brázdil, P Novotný, M Ornik… - … on Computer Aided …, 2020 - Springer
Abstract Consumption Markov Decision Processes (CMDPs) are probabilistic decision-
making models of resource-constrained systems. In a CMDP, the controller possesses a …

Efficient algorithms for asymptotic bounds on termination time in VASS

T Brázdil, K Chatterjee, A Kučera, P Novotný… - Proceedings of the 33rd …, 2018 - dl.acm.org
Vector Addition Systems with States (VASS) provide a well-known and fundamental model
for the analysis of concurrent processes, parameterized systems, and are also used as …

[HTML][HTML] On the complexity of resource-bounded logics

N Alechina, N Bulling, S Demri, B Logan - Theoretical Computer Science, 2018 - Elsevier
We revisit decidability results for resource-bounded logics and use decision problems on
vector addition systems with states (VASS) in order to establish complexity characterisations …

Controlling a population

N Bertrand, M Dewaskar, B Genest… - Logical Methods in …, 2019 - lmcs.episciences.org
We introduce a new setting where a population of agents, each modelled by a finite-state
system, are controlled uniformly: the controller applies the same action to every agent. The …

Perfect-information stochastic games with generalized mean-payoff objectives

K Chatterjee, L Doyen - Proceedings of the 31st Annual ACM/IEEE …, 2016 - dl.acm.org
Graph games provide the foundation for modeling and synthesizing reactive processes. In
the synthesis of stochastic reactive processes, the traditional model is perfect-information …

Extending finite-memory determinacy by Boolean combination of winning conditions

SL Roux, A Pauly, M Randour - arxiv preprint arxiv:1808.05791, 2018 - arxiv.org
We study finite-memory (FM) determinacy in games on finite graphs, a central question for
applications in controller synthesis, as FM strategies correspond to implementable …

Perfect half space games

T Colcombet, M Jurdziński, R Lazić… - 2017 32nd Annual …, 2017 - ieeexplore.ieee.org
We introduce perfect half space games, in which the goal of Player 2 is to make the sums of
encountered multi-dimensional weights diverge in a direction which is consistent with a …

Well behaved transition systems

M Blondin, A Finkel, P McKenzie - Logical Methods in …, 2017 - lmcs.episciences.org
The well-quasi-ordering (ie, a well-founded quasi-ordering such that all antichains are finite)
that defines well-structured transition systems (WSTS) is shown not to be the weakest …

Algorithmic aspects of WQO theory

S Schmitz, P Schnoebelen - 2012 - cel.hal.science
Well-quasi-orderings (wqos)(Kruskal, 1972) are a fundamental tool in logic and computer
science. ey provide termination arguments in a large number of decidability (or finiteness …