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We study the guarded negation fragment of transitive closure logic (GNTC). We show that the satisfiability problem for GNTC is 2ExpTime-complete, by establishing the following reductions: (i) a polynomial-time reduction from the…

Logic in Computer Science · Computer Science 2026-05-20 Diego Figueira , Santiago Figueira , Yoshiki Nakamura

In this letter, the authors propose a two-step approach to evaluate and verify a true system's capacity to satisfy its operational objective. Specifically, whenever the system objective has a quantifiable measure of satisfaction, i.e. a…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Prithvi Akella , Wyatt Ubellacker , Aaron D. Ames

We continue the systematic investigation of probabilistic and quantum finite automata (PFAs and QFAs) on promise problems by focusing on unary languages. We show that bounded-error QFAs are more powerful than PFAs. But, in contrary to the…

Computational Complexity · Computer Science 2015-03-12 Aida Gainutdinova , Abuzer Yakaryilmaz

Verification of multi-agents systems (MAS) has been recently studied taking into account the need of expressing resource bounds. Several logics for specifying properties of MAS have been presented in quite a variety of scenarios with…

Logic in Computer Science · Computer Science 2013-07-18 Dario Della Monica , Margherita Napoli , Mimmo Parente

Reactive control is often considered insufficient for multi-objective tasks because conflicting objectives give rise to local minima. We argue this limitation is not inherent but arises from static encodings that fail to reflect how…

Robotics · Computer Science 2026-05-27 Vito Mengers , Oliver Brock

As deep neural networks are deployed in safety-critical domains such as autonomous driving and medical diagnosis, stakeholders need explanations that are interpretable but also trustworthy with formal guarantees. Existing XAI methods fall…

Machine Learning · Computer Science 2026-04-17 Hanchen David Wang , Diego Manzanas Lopez , Preston K. Robinette , Ipek Oguz , Taylor T. Johnson , Meiyi Ma

Large language model-driven multi-agent systems (LLM-MAS) excel at complex tasks, yet unreliable agents remain a key bottleneck to system-level reliability. Automatic failure attribution is therefore critical, but existing approaches, such…

Computation and Language · Computer Science 2026-05-19 Hezhe Qiao , Hanghang Tong , Ee-Peng Lim , Bing Liu , Guansong Pang

Probabilistic automata are an extension of nondeterministic finite automata in which transitions are annotated with probabilities. Despite its simplicity, this model is very expressive and many of the associated algorithmic questions are…

Formal Languages and Automata Theory · Computer Science 2022-05-20 Nathanaël Fijalkow , Cristian Riveros , James Worrell

Message sequence charts (MSCs) visually represent interactions in distributed systems that communicate through FIFO channels. High-level MSCs (HMSCs) extend MSCs with choice, concatenation, and iteration, allowing for the specification of…

Logic in Computer Science · Computer Science 2025-04-29 Benedikt Bollig , Marie Fortin , Paul Gastin

We consider the decidability of state-to-state reachability in linear time-invariant control systems over continuous time. We analyse this problem with respect to the allowable control sets, which are assumed to be the image under a linear…

Optimization and Control · Mathematics 2021-03-16 Mohan Dantam , Amaury Pouly

We address the problem of statically checking safety properties (such as assertions or deadlocks) for parameterized phaser programs. Phasers embody a non-trivial and modern synchronization construct used to orchestrate executions of…

Programming Languages · Computer Science 2021-05-13 Zeinab Ganjei , Ahmed Rezine , Ludovic Henrio , Petru Eles , Zebo Peng

Probabilistic timed automata are a suitable formalism to model systems with real-time, nondeterministic and probabilistic behaviour. We study two-player zero-sum games on such automata where the objective of the game is specified as the…

Logic in Computer Science · Computer Science 2016-04-18 Vojtěch Forejt , Marta Kwiatkowska , Gethin Norman , Ashutosh Trivedi

We introduce a measure called width, quantifying the amount of nondeterminism in automata. Width generalises the notion of good-for-games (GFG) automata, that correspond to NFAs of width 1, and where an accepting run can be built on-the-fly…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Denis Kuperberg , Anirban Majumdar

During the first step of practical reasoning, i.e. deliberation, an intelligent agent generates a set of pursuable goals and then selects which of them he commits to achieve. An intelligent agent may in general generate multiple pursuable…

Artificial Intelligence · Computer Science 2020-09-14 Mariela Morveli-Espinoza , Juan Carlos Nieves , Ayslan Possebom , Josep Puyol-Gruart , Cesar Augusto Tacla

In a recent paper, Belle and Levesque proposed a framework for a type of program called belief programs, a probabilistic extension of GOLOG programs where every action and sensing result could be noisy and every test condition refers to the…

Artificial Intelligence · Computer Science 2022-05-04 Daxin Liu , Gerhard Lakemeyer

A classic model to study strategic decision making in multi-agent systems is the normal-form game. This model can be generalised to allow for an infinite number of pure strategies leading to continuous games. Multi-objective normal-form…

Computer Science and Game Theory · Computer Science 2023-03-02 Willem Röpke , Carla Groenland , Roxana Rădulescu , Ann Nowé , Diederik M. Roijers

Recent search agents leverage multi-turn reasoning and search tools to achieve strong performance on multi-hop and long-horizon benchmarks. Yet it remains unclear whether they reliably reason across all requirements by tracking, verifying,…

Artificial Intelligence · Computer Science 2026-02-10 Dayoon Ko , Jihyuk Kim , Sohyeon Kim , Haeju Park , Dahyun Lee , Gunhee Kim , Moontae Lee , Kyungjae Lee

We establish a classification of decision problems that are to be solved by mobile agents operating in unlabeled graphs, using a deterministic protocol. The classification is with respect to the ability of a team of agents to solve the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-12 Pierre Fraigniaud , Andrzej Pelc

We present realizability and realization logic, two program logics that jointly address the problem of finding solutions in semantics-guided synthesis. What is new is that we proceed eagerly and not only analyze a single candidate program…

Logic in Computer Science · Computer Science 2024-03-12 Roland Meyer , Jakob Tepe , Sebastian Wolff

We present the framework of delta-complete analysis for bounded reachability problems of general hybrid systems. We perform bounded reachability checking through solving delta-decision problems over the reals. The techniques take into…

Systems and Control · Computer Science 2014-04-30 Sicun Gao , Soonho Kong , Wei Chen , Edmund Clarke