Fixed-dimensional energy games are in pseudo-polynomial time

M Jurdziński, R Lazić, S Schmitz - International Colloquium on Automata …, 2015 - Springer
We generalise the hyperplane separation technique (Chatterjee and Velner, 2013) from
multi-dimensional mean-payoff to energy games, and achieve an algorithm for solving the …

Nonelementary complexities for branching VASS, MELL, and extensions

R Lazić, S Schmitz - ACM Transactions on Computational Logic (TOCL), 2015 - dl.acm.org
We study the complexity of reachability problems on branching extensions of vector addition
systems, which allows us to derive new non-elementary complexity bounds for fragments …

State of the art in logics for verification of resource-bounded multi-agent systems

N Alechina, B Logan - Fields of Logic and Computation III: Essays …, 2020 - Springer
Approaches to the verification of multi-agent systems are typically based on games or
transition systems defined in terms of states and actions. However such approaches often …

Alternating vector addition systems with states

JB Courtois, S Schmitz - International Symposium on Mathematical …, 2014 - Springer
Alternating vector addition systems are obtained by equip** vector addition systems with
states (VASS) with 'fork'rules, and provide a natural setting for infinite-arena games played …

Trade-off analysis meets probabilistic model checking

C Baier, C Dubslaff, S Klüppelholz - Proceedings of the Joint Meeting of …, 2014 - dl.acm.org
Probabilistic model checking (PMC) is a well-established and powerful method for the
automated quantitative analysis of parallel distributed systems. Classical PMC-approaches …

[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 …

Weight monitoring with linear temporal logic: complexity and decidability

C Baier, J Klein, S Klüppelholz… - … of the Joint Meeting of the …, 2014 - dl.acm.org
Many important performance and reliability measures can be formalized as the accumulated
values of weight functions. In this paper, we introduce an extension of linear time logic …

Optimizing the expected mean payoff in energy Markov decision processes

T Brázdil, A Kučera, P Novotný - International Symposium on Automated …, 2016 - Springer
Abstract Energy Markov Decision Processes (EMDPs) are finite-state Markov decision
processes where each transition is assigned an integer counter update and a rational …

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 …

Monotonic graphs for parity and mean-payoff games

P Ohlmann - 2021 - theses.hal.science
In a parity game, Eve and Adam take turns in moving a token along the edges of a directed
graph, which are labelled by integers called priorities. This interaction results in an infinite …