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Often one has a preference order among the different systems that satisfy a given specification. Under a probabilistic assumption about the possible inputs, such a preference order is naturally expressed by a weighted automaton, which…

Logic in Computer Science · Computer Science 2011-04-15 Krishnendu Chatterjee , Thomas A. Henzinger , Barbara Jobstmann , Rohit Singh

We consider controller synthesis for stochastic and partially unknown environments in which safety is essential. Specifically, we abstract the problem as a Markov decision process in which the expected performance is measured using a cost…

Software Engineering · Computer Science 2015-10-21 Sebastian Junges , Nils Jansen , Christian Dehnert , Ufuk Topcu , Joost-Pieter Katoen

We consider the policy synthesis problem for continuous-state controlled Markov processes evolving in discrete time, when the specification is given as a B\"uchi condition (visit a set of states infinitely often). We decompose computation…

Systems and Control · Electrical Eng. & Systems 2020-02-17 Rupak Majumdar , Kaushik Mallik , Sadegh Soudjani

One of the primary goals of the mathematical analysis of algorithms is to provide guidance about which algorithm is the "best" for solving a given computational problem. Worst-case analysis summarizes the performance profile of an algorithm…

Data Structures and Algorithms · Computer Science 2020-07-28 Tim Roughgarden

A central task in control theory, artificial intelligence, and formal methods is to synthesize reward-maximizing strategies for agents that operate in partially unknown environments. In environments modeled by gray-box Markov decision…

Machine Learning · Computer Science 2023-04-25 Christel Baier , Clemens Dubslaff , Patrick Wienhöft , Stefan J. Kiebel

Classical reactive synthesis approaches aim to synthesize a reactive system that always satisfies a given specifications. These approaches often reduce to playing a two-player zero-sum game where the goal is to synthesize a winning…

Computer Science and Game Theory · Computer Science 2025-06-09 Karan Muvvala , Qi Heng Ho , Morteza Lahijanian

In the classical synthesis problem, we are given an LTL formula psi over sets of input and output signals, and we synthesize a transducer that realizes psi. One weakness of automated synthesis in practice is that it pays no attention to the…

Logic in Computer Science · Computer Science 2016-08-24 Shaull Almagor , Orna Kupferman

Cyber-physical systems are conducting increasingly complex tasks, which are often modeled using formal languages such as temporal logic. The system's ability to perform the required tasks can be curtailed by malicious adversaries that mount…

Systems and Control · Computer Science 2019-07-25 Luyao Niu , Jie Fu , Andrew Clark

The paper addresses the problem of computing maximal conditional expected accumulated rewards until reaching a target state (briefly called maximal conditional expectations) in finite-state Markov decision processes where the condition is…

Logic in Computer Science · Computer Science 2023-03-07 Christel Baier , Joachim Klein , Sascha Klüppelholz , Sascha Wunderlich

In the classical synthesis problem, we are given an LTL formula \psi over sets of input and output signals, and we synthesize a system T that realizes \psi: with every input sequences x, the system associates an output sequence T(x) such…

Formal Languages and Automata Theory · Computer Science 2021-09-09 Shaull Almagor , Orna Kupferman

We introduce a formal notion of masking fault-tolerance between probabilistic transition systems based on a variant of probabilistic bisimulation (named masking simulation). We also provide the corresponding probabilistic game…

Logic in Computer Science · Computer Science 2022-07-06 Pablo F. Castro , Pedro D'Argenio , Luciano Putruele , Ramiro Demasi

In this paper we present an assume-guarantee specification theory (aka interface theory from [14]) for modular synthesis and verification of real-time systems with critical timing constraints. It is a further step of our earlier work [10]…

Logic in Computer Science · Computer Science 2013-04-30 Chris Chilton , Marta Kwiatkowska , Xu Wang

We consider the symbolic controller synthesis approach to enforce safety specifications on perturbed, nonlinear control systems. In general, in each state of the system several control values might be applicable to enforce the safety…

Systems and Control · Computer Science 2017-12-15 Philipp J. Meyer , Matthias Rungger , Michael Luttenberger , Javier Esparza , Majid Zamani

We study synthesis problems with constraints in partially observable Markov decision processes (POMDPs), where the objective is to compute a strategy for an agent that is guaranteed to satisfy certain safety and performance specifications.…

We show how to automatically construct a system that satisfies a given logical specification and has an optimal average behavior with respect to a specification with ratio costs. When synthesizing a system from a logical specification, it…

Logic in Computer Science · Computer Science 2011-02-22 Christian von Essen , Barbara Jobstmann

Objective: To obtain explainable guarantees in the online synthesis of optimal controllers for high-integrity cyber-physical systems, we re-investigate the use of exhaustive search as an alternative to reinforcement learning. Approach: We…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Mario Gleirscher , Philip Hönnecke

This article deals with stochastic processes endowed with the Markov (memoryless) property and evolving over general (uncountable) state spaces. The models further depend on a non-deterministic quantity in the form of a control input, which…

Systems and Control · Computer Science 2015-09-11 Sofie Haesaert , Robert Babuska , Alessandro Abate

We present an algorithmic method for the quantitative, performance-aware synthesis of concurrent programs. The input consists of a nondeterministic partial program and of a parametric performance model. The nondeterminism allows the…

Programming Languages · Computer Science 2015-03-19 Pavol Cerny , Krishnendu Chatterjee , Thomas Henzinger , Arjun Radhakrishna , Rohit Singh

Bandits with Knapsacks (BwK), the generalization of the Bandits problem under global budget constraints, has received a lot of attention in recent years. Previous work has focused on one of the two extremes: Stochastic BwK where the rewards…

Machine Learning · Computer Science 2023-09-06 Giannis Fikioris , Éva Tardos

Strategy synthesis typically follows an all-or-nothing paradigm, returning unrealisable whenever a specification cannot be guaranteed in an uncertain environment. In this paper, we introduce optimal LTLf synthesis, where the goal is to…

Artificial Intelligence · Computer Science 2026-05-28 Yujian Cao , Sven Schewe , Qiyi Tang , Shufang Zhu