Search Results for author: Jan Křetínský

Found 15 papers, 1 papers with code

Learning Algorithms for Verification of Markov Decision Processes

no code implementations14 Mar 2024 Tomáš Brázdil, Krishnendu Chatterjee, Martin Chmelik, Vojtěch Forejt, Jan Křetínský, Marta Kwiatkowska, Tobias Meggendorfer, David Parker, Mateusz Ujma

The presented framework focuses on probabilistic reachability, which is a core problem in verification, and is instantiated in two distinct scenarios.

Syntactic vs Semantic Linear Abstraction and Refinement of Neural Networks

1 code implementation20 Jul 2023 Calvin Chau, Jan Křetínský, Stefanie Mohr

In this work, we provide a more flexible framework where a neuron can be replaced with a linear combination of other neurons, improving the reduction.

Stopping Criteria for Value Iteration on Stochastic Games with Quantitative Objectives

no code implementations19 Apr 2023 Jan Křetínský, Tobias Meggendorfer, Maximilian Weininger

In this paper, we provide the first stopping criteria for VI on SG with total reward and mean payoff, yielding the first anytime algorithms in these settings.

Algebraically Explainable Controllers: Decision Trees and Support Vector Machines Join Forces

no code implementations26 Aug 2022 Florian Jüngermann, Jan Křetínský, Maximilian Weininger

In contrast, support vector machines provide a more powerful representation, capable of discovering many such relationships, but not in an explainable form.

PAC Statistical Model Checking of Mean Payoff in Discrete- and Continuous-Time MDP

no code implementations3 Jun 2022 Chaitanya Agarwal, Shibashis Guha, Jan Křetínský, M. Pazhamalai

We provide the first algorithm to compute mean payoff probably approximately correctly in unknown MDP; further, we extend it to unknown CTMDP.

LTL-Constrained Steady-State Policy Synthesis

no code implementations31 May 2021 Jan Křetínský

On the one hand, Linear Temporal Logic (LTL) is a popular example of a formalism for qualitative specifications.

Decision Making

DeepAbstract: Neural Network Abstraction for Accelerating Verification

no code implementations24 Jun 2020 Pranav Ashok, Vahid Hashemi, Jan Křetínský, Stefanie Mohr

While abstraction is a classic tool of verification to scale it up, it is not used very often for verifying neural networks.

Clustering

dtControl: Decision Tree Learning Algorithms for Controller Representation

no code implementations12 Feb 2020 Pranav Ashok, Mathias Jackermeier, Pushpak Jagtap, Jan Křetínský, Maximilian Weininger, Majid Zamani

In particular the latter turns out to be extremely efficient, yielding decision trees with a single-digit number of decision nodes on 5 of the case studies.

Of Cores: A Partial-Exploration Framework for Markov Decision Processes

no code implementations17 Jun 2019 Jan Křetínský, Tobias Meggendorfer

We introduce a framework for approximate analysis of Markov decision processes (MDP) with bounded-, unbounded-, and infinite-horizon properties.

PAC Statistical Model Checking for Markov Decision Processes and Stochastic Games

no code implementations10 May 2019 Pranav Ashok, Jan Křetínský, Maximilian Weininger

Statistical model checking (SMC) is a technique for analysis of probabilistic systems that may be (partially) unknown.

Learning-Based Mean-Payoff Optimization in an Unknown MDP under Omega-Regular Constraints

no code implementations24 Apr 2018 Jan Křetínský, Guillermo A. Pérez, Jean-François Raskin

Assuming the support of the unknown transition function and a lower bound on the minimal transition probability are known in advance, we show that in MDPs consisting of a single end component, two combinations of guarantees on the parity and mean-payoff objectives can be achieved depending on how much memory one is willing to use.

Probabilistic Bisimulation: Naturally on Distributions

no code implementations21 Apr 2014 Holger Hermanns, Jan Krčál, Jan Křetínský

In contrast to the usual understanding of probabilistic systems as stochastic processes, recently these systems have also been regarded as transformers of probabilities.

Logic in Computer Science

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