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We consider the problem of automatically inferring specifications in the branching-time logic, Computation Tree Logic (CTL), from a given system. Designing functional and usable specifications has always been one of the biggest challenges…

Logic in Computer Science · Computer Science 2023-10-24 Rajarshi Roy , Daniel Neider

We consider the problem of learning temporal logic formulas from examples of system behavior. Learning temporal properties has crystallized as an effective mean to explain complex temporal behaviors. Several efficient algorithms have been…

Logic in Computer Science · Computer Science 2024-08-09 Benjamin Bordais , Daniel Neider , Rajarshi Roy

Temporal logic specifications play an important role in a wide range of software analysis tasks, such as model checking, automated synthesis, program comprehension, and runtime monitoring. Given a set of positive and negative examples,…

Software Engineering · Computer Science 2025-01-03 Changjian Zhang , Parv Kapoor , Ian Dardik , Leyi Cui , Romulo Meira-Goes , David Garlan , Eunsuk Kang

The CTL learning problem consists in finding for a given sample of positive and negative Kripke structures a distinguishing CTL formula that is verified by the former but not by the latter. Further constraints may bound the size and shape…

Logic in Computer Science · Computer Science 2024-04-17 Adrien Pommellet , Daniel Stan , Simon Scatton

Learning linear temporal logic (LTL) formulas from examples labeled as positive or negative has found applications in inferring descriptions of system behavior. We summarize two methods to learn LTL formulas from examples in two different…

Logic in Computer Science · Computer Science 2022-12-05 Jean-Raphaël Gaglione , Rajarshi Roy , Nasim Baharisangari , Daniel Neider , Zhe Xu , Ufuk Topcu

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

Characterisations theorems serve as important tools in model theory and can be used to assess and compare the expressive power of temporal languages used for the specification and verification of properties in formal methods. While complete…

Logic in Computer Science · Computer Science 2024-04-30 Massimo Benerecetti , Laura Bozzelli , Fabio Mogavero , Adriano Peron

There has been substantial progress in the inference of formal behavioural specifications from sample trajectories, for example, using Linear Temporal Logic (LTL). However, these techniques cannot handle specifications that correctly…

Logic in Computer Science · Computer Science 2025-05-20 Rajarshi Roy , Yash Pote , David Parker , Marta Kwiatkowska

Model checking verifies that a model of a system satisfies a given property, and otherwise produces a counter-example explaining the violation. The verified properties are formally expressed in temporal logics. Some temporal logics, such as…

Logic in Computer Science · Computer Science 2012-02-22 Simon Busard , Charles Pecheur

The satisfiability problem of the branching time logic CTL is studied in terms of computational complexity. Tight upper and lower bounds are provided for each temporal operator fragment. In parallel, the minimal model size is studied with a…

Logic in Computer Science · Computer Science 2017-02-27 Martin Lück

We study the problem of learning linear temporal logic (LTL) formulas from examples, as a first step towards expressing a property separating positive and negative instances in a way that is comprehensible for humans. In this paper we…

Machine Learning · Computer Science 2023-12-29 Corto Mascle , Nathanaël Fijalkow , Guillaume Lagarde

We present two novel algorithms for learning formulas in Linear Temporal Logic (LTL) from examples. The first learning algorithm reduces the learning task to a series of satisfiability problems in propositional Boolean logic and produces a…

Logic in Computer Science · Computer Science 2018-10-05 Daniel Neider , Ivan Gavran

Recent work has addressed using formulas in linear temporal logic (LTL) as specifications for agents planning in Markov Decision Processes (MDPs). We consider the inverse problem: inferring an LTL specification from demonstrated behavior…

Systems and Control · Computer Science 2017-11-02 Daniel Kasenberg , Matthias Scheutz

Temporal logic is a very powerful formalism deeply investigated and used in formal system design and verification. Its application usually reduces to solving specific decision problems such as model checking and satisfiability. In these…

Logic in Computer Science · Computer Science 2016-09-15 Gaëlle Fontaine , Fabio Mogavero , Aniello Murano , Giuseppe Perelli , Loredana Sorrentino

This paper revisits the classical notion of sampling in the setting of real-time temporal logics for the modeling and analysis of systems. The relationship between the satisfiability of Metric Temporal Logic (MTL) formulas over…

Logic in Computer Science · Computer Science 2015-03-13 Carlo A. Furia , Matteo Rossi

Linear temporal logic (LTL) is a specification language for finite sequences (called traces) widely used in program verification, motion planning in robotics, process mining, and many other areas. We consider the problem of learning LTL…

Artificial Intelligence · Computer Science 2026-01-22 Ritam Raha , Rajarshi Roy , Nathanaël Fijalkow , Daniel Neider

Model checking allows one to automatically verify a specification of the expected properties of a system against a formal model of its behaviour (generally, a Kripke structure). Point-based temporal logics, such as LTL, CTL, and CTL*, that…

Logic in Computer Science · Computer Science 2019-02-07 Alberto Molinari , Angelo Montanari , Adriano Peron

It is widely accepted that every system should be robust in that ``small'' violations of environment assumptions should lead to ``small'' violations of system guarantees, but it is less clear how to make this intuition mathematically…

Logic in Computer Science · Computer Science 2024-01-23 Satya Prakash Nayak , Daniel Neider , Rajarshi Roy , Martin Zimmermann

Program transformations are widely used in synthesis, optimization, and maintenance of software. Correctness of program transformations depends on preservation of some important properties of the input program. By regarding programs as…

Logic in Computer Science · Computer Science 2012-09-25 Aditya Kanade , Amitabha Sanyal , Uday P. Khedker

We develop a timeout based extension of propositional linear temporal logic (which we call TLTL) to specify timing properties of timeout based models of real time systems. TLTL formulas explicitly refer to a running global clock together…

Logic in Computer Science · Computer Science 2010-12-20 Janardan Misra , Suman Roy
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