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Translating informal requirements into formal specifications is challenging due to the ambiguity and variability of natural language (NL). This challenge is particularly pronounced when relying on compact (small and medium) language models,…

Logic in Computer Science · Computer Science 2026-03-09 Medina Andresel , Cristinel Mateis , Dejan Nickovic , Spyridon Kounoupidis , Panagiotis Katsaros , Stavros Tripakis

Although it is widely accepted that every system should be robust, in the sense that "small" violations of environment assumptions should lead to "small" violations of system guarantees, it is less clear how to make this intuitive notion of…

Logic in Computer Science · Computer Science 2015-11-02 Paulo Tabuada , Daniel Neider

A challenging problem for autonomous systems is to synthesize a reactive controller that conforms to a set of given correctness properties. Linear temporal logic (LTL) provides a formal language to specify the desired behavioral properties…

Formal Languages and Automata Theory · Computer Science 2019-10-08 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

We introduce and develop a set-based semantics for asynchronous TeamLTL. We consider two canonical logics in this setting: the extensions of TeamLTL by the Boolean disjunction and by the Boolean negation. We establish fascinating…

Logic in Computer Science · Computer Science 2023-04-24 Juha Kontinen , Max Sandström , Jonni Virtema

We study preprocessing techniques for clause normal forms of LTL formulas. Applying the mechanism of labelled clauses enables us to reinterpret LTL satisfiability as a set of purely propositional problems and thus to transfer simplification…

Logic in Computer Science · Computer Science 2013-10-01 Martin Suda

We present CLTLB(D), an extension of PLTLB (PLTL with both past and future operators) augmented with atomic formulae built over a constraint system D. Even for decidable constraint systems, satisfiability and Model Checking problem of such…

Logic in Computer Science · Computer Science 2010-04-21 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

Reactive synthesis is the process of using temporal logic specifications in LTL to generate correct controllers, but its use has been restricted to Boolean specifications. Recently, a Boolean abstraction technique allows to translate LTL T…

Logic in Computer Science · Computer Science 2023-10-13 Andoni Rodríguez , Cesar Sanchez

A central challenge in multi-task reinforcement learning (RL) is to train generalist policies capable of performing tasks not seen during training. To facilitate such generalization, linear temporal logic (LTL) has emerged as a powerful…

Machine Learning · Computer Science 2026-05-08 Jacques Cloete , Mathias Jackermeier , Ioannis Havoutis , Alessandro Abate

We introduce Parametric Linear Dynamic Logic (PLDL), which extends Linear Dynamic Logic (LDL) by temporal operators equipped with parameters that bound their scope. LDL itself was proposed as an extension of Linear Temporal Logic (LTL) that…

Logic in Computer Science · Computer Science 2015-12-08 Peter Faymonville , Martin Zimmermann

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

Linear Temporal Logic (LTL) is the standard specification language for reactive systems and is successfully applied in industrial settings. However, many shortcomings of LTL have been identified in the literature, among them the limited…

Logic in Computer Science · Computer Science 2021-04-30 Daniel Neider , Alexander Weinert , Martin Zimmermann

Tsetlin Machines (TMs) have garnered increasing interest for their ability to learn concepts via propositional formulas and their proven efficiency across various application domains. Despite this, the convergence proof for the TMs,…

Artificial Intelligence · Computer Science 2023-10-04 Mohamed-Bachir Belaid , Jivitesh Sharma , Lei Jiao , Ole-Christoffer Granmo , Per-Arne Andersen , Anis Yazidi

In recent years, Machine Learning (ML) models have achieved remarkable success in various domains. However, these models also tend to demonstrate unsafe behaviors, precluding their deployment in safety-critical systems. To cope with this…

Logic in Computer Science · Computer Science 2025-02-17 Andoni Rodriguez , Guy Amir , Davide Corsi , Cesar Sanchez , Guy Katz

Linear Temporal Logic (LTL) is one of the most popular temporal logics, that comes into play in a variety of branches of computer science. Among the various reasons of its widespread use there are its strong foundational properties: LTL is…

Artificial Intelligence · Computer Science 2024-02-14 Alessandro Cimatti , Luca Geatti , Nicola Gigante , Angelo Montanari , Stefano Tonetta

Ontologies are useful for automatic machine processing of domain knowledge as they represent it in a structured format. Yet, constructing ontologies requires substantial manual effort. To automate part of this process, large language models…

Machine Learning · Computer Science 2024-11-01 Andy Lo , Albert Q. Jiang , Wenda Li , Mateja Jamnik

Linear temporal logic (LTL) is used in system verification to write formal specifications for reactive systems. However, some relevant properties, e.g. non-inference in information flow security, cannot be expressed in LTL. A class of such…

Logic in Computer Science · Computer Science 2024-06-10 Juha Kontinen , Max Sandström , Jonni Virtema

Linear Temporal Logic (LTL) is a widely used specification framework for linear time properties of systems. The standard approach for verifying such properties is by transforming LTL formulae to suitable $\omega$-automata and then applying…

Formal Languages and Automata Theory · Computer Science 2017-10-19 Martin Sulzmann , Peter Thiemann

We present a novel asynchronous hyper linear time temporal logic named LPrL (Linear Time Predicate Logic) and establish its basic theory. LPrL is a natural first order extension of LTL (Linear time temporal logic), in which the predicates…

Logic in Computer Science · Computer Science 2026-01-22 Parasara Sridhar Duggirala , P. S. Thiagarajan

We study Linear Temporal Logic Modulo Theories over Finite Traces (LTLfMT), a recently introduced extension of LTL over finite traces (LTLf) where propositions are replaced by first-order formulas and where first-order variables referring…

Artificial Intelligence · Computer Science 2023-08-01 Luca Geatti , Alessandro Gianola , Nicola Gigante , Sarah Winkler

Reactive synthesis addresses the problem of generating a controller for a temporal specification in an adversarial environment; it was typically studied for LTL. Driven by applications ranging from AI to business process management, LTL…

Logic in Computer Science · Computer Science 2025-08-26 Sarah Winkler