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Petri nets are a modeling formalism capable of describing complex distributed systems and there exists a large number of both academic and industrial tools that enable automatic verification of model properties. Typical questions include…

Logic in Computer Science · Computer Science 2026-01-12 Bruno Maria René Gonzalez , Peter Gjøl Jensen , Stefan Schmid , Jiří Srba , Martin Zimmermann

This paper shows that a variety of software model-checking algorithms can be seen as proof-search strategies for a non-standard proof system, known as a cyclic proof system. Our use of the cyclic proof system as a logical foundation of…

Programming Languages · Computer Science 2021-11-11 Takeshi Tsukada , Hiroshi Unno

Formal languages over infinite alphabets serve as abstractions of structures and processes carrying data. Automata models over infinite alphabets, such as classical register automata or, equivalently, nominal orbit-finite automata, tend to…

Formal Languages and Automata Theory · Computer Science 2025-05-20 Florian Frank , Daniel Hausmann , Stefan Milius , Lutz Schröder , Henning Urbat

We present a hierarchical framework for analysing propositional linear-time temporal logic (PTL) to obtain standard results such as a small model property, decision procedures and axiomatic completeness. Both finite time and infinite time…

Logic in Computer Science · Computer Science 2007-05-23 Ben Moszkowski

Freeze LTL is a temporal logic with registers that is suitable for specifying properties of data words. In this paper we study the model checking problem for Freeze LTL on one-counter automata. This problem is known to be undecidable in…

Logic in Computer Science · Computer Science 2023-06-22 Antonia Lechner , Richard Mayr , Joël Ouaknine , Amaury Pouly , James Worrell

Tree Regular Model Checking (TRMC) is the name of a family of techniques for analyzing infinite-state systems in which states are represented by terms, and sets of states by Tree Automata (TA). The central problem in TRMC is to decide…

Formal Languages and Automata Theory · Computer Science 2012-03-09 Thomas Genet , Tristan Le Gall , Axel Legay , Valerie Murat

In the context of planning and reasoning about actions and change, we call an action reversible when its effects can be reverted by applying other actions, returning to the original state. Renewed interest in this area has led to several…

Artificial Intelligence · Computer Science 2021-08-13 Wolfgang Faber , Michael Morak , Lukáš Chrpa

Recently it was shown that it is undecidable whether a term rewrite system can be proved terminating by a polynomial interpretation in the natural numbers. In this paper we show that this is also the case when restricting the…

Logic in Computer Science · Computer Science 2023-07-28 Fabian Mitterwallner , Aart Middeldorp , René Thiemann

Within a component-based approach allowing dynamic reconfigurations, sequences of successive reconfiguration operations are expressed by means of reconfiguration paths, possibly infinite. We show that a subclass of such paths can be…

Software Engineering · Computer Science 2015-03-18 Jean-Michel Hufflen

We consider the verification of distributed systems composed of an arbitrary number of asynchronous processes. Processes are identical finite-state machines that communicate by reading from and writing to a shared memory. Beyond the…

Formal Languages and Automata Theory · Computer Science 2023-08-01 Nicolas Waldburger

This paper addresses the problem of improving response times of robots implemented in the Robotic Operating System (ROS) using formal verification of computational-time feasibility. In order to verify the real time behaviour of a robot…

Robotics · Computer Science 2016-11-11 Mohammed Y. Hazim , Hongyang Qu , Sandor M. Veres

Training language models to produce both correct answers and sound reasoning remains an open challenge. Reinforcement learning with verifiable rewards typically optimizes only final outcomes, which can lead to a failure mode where task…

Computation and Language · Computer Science 2026-05-14 Kyuyoung Kim , Kevin Wang , Yunfei Xie , Peiyang Xu , Peiyao Sheng , Chen Wei , Zhangyang Wang , Jinwoo Shin , Pramod Viswanath , Sewoong Oh

We address the problem of learning temporal properties from the branching-time behavior of systems. Existing research in this field has mostly focused on learning linear temporal properties specified using popular logics, such as Linear…

Logic in Computer Science · Computer Science 2024-07-01 Benjamin Bordais , Daniel Neider , Rajarshi Roy

Metric Interval Temporal Logic (MITL) is a well studied real-time, temporal logic that has decidable satisfiability and model checking problems. The decision procedures for MITL rely on the automata theoretic approach, where logic formulas…

Logic in Computer Science · Computer Science 2019-10-11 Nima Roohi , Mahesh Viswanathan

We address the problem of learning human-interpretable descriptions of a complex system from a finite set of positive and negative examples of its behavior. In contrast to most of the recent work in this area, which focuses on descriptions…

Machine Learning · Computer Science 2020-02-11 Rajarshi Roy , Dana Fisman , Daniel Neider

We identify a subproblem of the model-checking problem for the epistemic \mu-calculus which is decidable. Formulas in the instances of this subproblem allow free variables within the scope of epistemic modalities in a restricted form that…

Computer Science and Game Theory · Computer Science 2013-10-28 Rodica Bozianu , Catalin Dima , Constantin Enea

Brute-force model-checking consists in exhaustive exploration of the state-space of a Petri net, and meets the dreaded state-space explosion problem. In contrast, this paper shows how to solve model-checking problems using a combination of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Yann Thierry-Mieg

It is crucial for accurate model checking that the model be a complete and faithful representation of the system. Unfortunately, this is not always possible, mainly because of two reasons: (i) the model is still under development and (ii)…

Logic in Computer Science · Computer Science 2017-06-19 Shiraj Arora , M. V. Panduranga Rao

Rewriting logic and its implementation Maude are an expressive framework for the formal specification and verification of software and other kinds of systems. Concurrency is naturally represented by nondeterministic local transformations…

Logic in Computer Science · Computer Science 2024-01-17 Rubén Rubio , Narciso Martí-Oliet , Isabel Pita , Alberto Verdejo

Metric temporal logic (MTL) and timed propositional temporal logic (TPTL) are quantitative extensions of linear temporal logic, which are prominent and widely used in the verification of real-timed systems. It was recently shown that the…

Logic in Computer Science · Computer Science 2023-06-22 Shiguang Feng , Markus Lohrey , Karin Quaas