7 results
Krishnendu Chatterjee ; Luca de Alfaro ; Rupak Majumdar ; Vishwanath Raman.
Simulation and bisimulation metrics for stochastic systems provide a quantitative generalization of the classical simulation and bisimulation relations. These metrics capture the similarity of states with respect to quantitative specifications written in the quantitative {\mu}-calculus and related […]
Published on September 1, 2010
Krishnendu Chatterjee ; Luca de Alfaro ; Marco Faella ; Axel Legay.
We investigate logics and equivalence relations that capture the qualitative behavior of Markov Decision Processes (MDPs). We present Qualitative Randomized CTL (QRCTL): formulas of this logic can express the fact that certain temporal properties hold over all paths, or with probability 0 or 1, but […]
Published on May 4, 2009
Krishnendu Chatterjee ; Laurent Doyen ; Thomas A Henzinger.
Weighted automata are nondeterministic automata with numerical weights on transitions. They can define quantitative languages~$L$ that assign to each word~$w$ a real number~$L(w)$. In the case of infinite words, the value of a run is naturally computed as the maximum, limsup, liminf, limit-average, […]
Published on August 30, 2010
Krishnendu Chatterjee ; Thomas A. Henzinger ; Vinayak S. Prabhu.
We consider two-player games played in real time on game structures with clocks where the objectives of players are described using parity conditions. The games are \emph{concurrent} in that at each turn, both players independently propose a time delay and an action, and the action with the shorter […]
Published on December 14, 2011
Krishnendu Chatterjee ; Thomas A. Henzinger ; Rasmus Ibsen-Jensen ; Jan Otop.
The edit distance between two words $w_1, w_2$ is the minimal number of word operations (letter insertions, deletions, and substitutions) necessary to transform $w_1$ to $w_2$. The edit distance generalizes to languages $\mathcal{L}_1, \mathcal{L}_2$, where the edit distance from $\mathcal{L}_1$ to […]
Published on September 13, 2017
Krishnendu Chatterjee ; Monika Henzinger ; Veronika Loitzenbauer.
The computation of the winning set for parity objectives and for Streett objectives in graphs as well as in game graphs are central problems in computer-aided verification, with application to the verification of closed systems with strong fairness conditions, the verification of open systems, […]
Published on September 26, 2017
Krishnendu Chatterjee ; Zuzana Křetínská ; Jan Křetínský.
We consider Markov decision processes (MDPs) with multiple limit-average (or mean-payoff) objectives. There exist two different views: (i) the expectation semantics, where the goal is to optimize the expected mean-payoff objective, and (ii) the satisfaction semantics, where the goal is to maximize […]
Published on July 3, 2017