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We propose an interval extension of Signal Temporal Logic (STL) called Interval Signal Temporal Logic (\ISTL). Given an STL formula, we consider an interval inclusion function for each of its predicates. Then, we use minimal inclusion…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Luke Baird , Akash Harapanahalli , Samuel Coogan

Natural language explanations play a fundamental role in Natural Language Inference (NLI) by revealing how premises logically entail hypotheses. Recent work has shown that the interaction of large language models (LLMs) with theorem provers…

Computation and Language · Computer Science 2025-06-02 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

Formal properties represent a cornerstone of the system-correctness proofs based on formal verification techniques such as model checking. Formalizing requirements into temporal properties may be very complex and error prone, due not only…

Logic in Computer Science · Computer Science 2017-09-08 Stefano Tonetta

Continuous representations of logic formulae allow us to integrate symbolic knowledge into data-driven learning algorithms. If such embeddings are semantically consistent, i.e. if similar specifications are mapped into nearby vectors, they…

Computation and Language · Computer Science 2025-09-17 Sara Candussio , Gaia Saveri , Gabriele Sarti , Luca Bortolussi

Controller synthesis for hybrid systems that satisfy temporal specifications expressing various system properties is a challenging problem that has drawn the attention of many researchers. However, making the assumption that such temporal…

Systems and Control · Computer Science 2015-10-27 Dorsa Sadigh , Ashish Kapoor

We are interested in predicting failures of cyber-physical systems during their operation. Particularly, we consider stochastic systems and signal temporal logic specifications, and we want to calculate the probability that the current…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Lars Lindemann , Xin Qin , Jyotirmoy V. Deshmukh , George J. Pappas

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

Control synthesis from temporal logic specifications has gained popularity in recent years. In this paper, we use a model predictive approach to control discrete time linear systems with additive bounded disturbances subject to constraints…

Systems and Control · Computer Science 2016-05-24 Sadra Sadraddini , Calin Belta

Rational verification refers to the problem of checking which temporal logic properties hold of a concurrent multiagent system, under the assumption that agents in the system choose strategies that form a game-theoretic equilibrium.…

Logic in Computer Science · Computer Science 2022-07-19 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

Linear Temporal Logic (LTL) interpreted on finite traces is a robust specification framework popular in formal verification. However, despite the high interest in the logic in recent years, the topic of their quantitative extensions is not…

Logic in Computer Science · Computer Science 2021-01-05 Bartosz Bednarczyk , Jakub Michaliszyn

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

In this paper we present a grammar and control synthesis framework for online modification of Event-based Signal Temporal Logic (STL) specifications, during execution. These modifications allow a user to change the robots' task in response…

Robotics · Computer Science 2023-04-03 David Gundana , Hadas Kress-Gazit

Motivated by the rapid ascent of Large Language Models (LLMs) and debates about the extent to which they possess human-level qualities, we propose a framework for testing whether any agent (be it a machine or a human) understands a subject…

Artificial Intelligence · Computer Science 2024-06-21 Kevin Leyton-Brown , Yoav Shoham

From biological systems to cyber-physical systems, monitoring the behavior of such dynamical systems often requires to reason about complex spatio-temporal properties of physical and/or computational entities that are dynamically…

Logic in Computer Science · Computer Science 2021-09-17 Ennio Visconti , Ezio Bartocci , Michele Loreti , Laura Nenzi

Formal control of cyber-physical systems allows for synthesis of control strategies from rich specifications such as temporal logics. However, the classes of systems that the formal approaches can be applied to is limited due to the…

Logic in Computer Science · Computer Science 2019-09-04 Irmak Saglam , Ebru Aydin Gol

We review state-of-the-art formal methods applied to the emerging field of the verification of machine learning systems. Formal methods can provide rigorous correctness guarantees on hardware and software systems. Thanks to the availability…

Programming Languages · Computer Science 2021-04-22 Caterina Urban , Antoine Miné

Computation Tree Logic (CTL) is one of the central formalisms in formal verification. As a specification language, it is used to express a property that the system at hand is expected to satisfy. From both the verification and the system…

Artificial Intelligence · Computer Science 2020-07-06 Renyan Feng , Erman Acar , Stefan Schlobach , Yisong Wang , Wanwei Liu

Formal methods refer to rigorous, mathematical approaches to system development and have played a key role in establishing the correctness of safety-critical systems. The main building blocks of formal methods are models and specifications,…

Mechanized verification of liveness properties for infinite programs with effects and nondeterminism is challenging. Existing temporal reasoning frameworks operate at the level of models such as traces and automata. Reasoning happens at a…

Programming Languages · Computer Science 2025-08-22 Eleftherios Ioannidis , Yannick Zakowski , Steve Zdancewic , Sebastian Angel

In our previous work we have introduced the logic STL*, an extension of Signal Temporal Logic (STL) that allows value freezing. In this paper, we define robustness measures for STL* by adapting the robustness measures previously introduced…

Logic in Computer Science · Computer Science 2013-09-05 L. Brim , T. Vejpustek , D. Šafránek , J. Fabriková