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The problem of model checking procedural programs has fostered much research towards the definition of temporal logics for reasoning on context-free structures. The most notable of such results are temporal logics on Nested Words, such as…

Logic in Computer Science · Computer Science 2023-06-22 Michele Chiari , Dino Mandrioli , Matteo Pradella

A predicate linear temporal logic LTL_{\lambda,=} without quantifiers but with predicate abstraction mechanism and equality is considered. The models of LTL_{\lambda,=} can be naturally seen as the systems of pebbles (flexible constants)…

Logic in Computer Science · Computer Science 2007-05-23 Alexei Lisitsa , Igor Potapov

We study two unary fragments of the well-known metric interval temporal logic MITL[U_I,S_I] that was originally proposed by Alur and Henzinger, and we pin down their expressiveness as well as satisfaction complexities. We show that…

Logic in Computer Science · Computer Science 2013-05-16 Paritosh K. Pandya , Simoni S. Shah

Model-checking the alternating-time temporal logics ATL and ATL* with incomplete information is undecidable for perfect recall semantics. However, when restricting to memoryless strategies the model-checking problem becomes decidable. In…

Computer Science and Game Theory · Computer Science 2013-07-18 Steen Vester

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

Hyperproperties, which generalize trace properties by relating multiple traces, are widely studied in information-flow security. Recently, a number of logics for hyperproperties have been proposed, and there is a need to understand their…

Logic in Computer Science · Computer Science 2020-05-13 Norine Coenen , Bernd Finkbeiner , Christopher Hahn , Jana Hofmann

This paper presents a new approach to design verified compositions of Neural Network (NN) controllers for autonomous systems with tasks captured by Linear Temporal Logic (LTL) formulas. Particularly, the LTL formula requires the system to…

Robotics · Computer Science 2022-09-14 Jun Wang , Samarth Kalluraya , Yiannis Kantaros

We present here a SAT-based framework for LTLf (Linear Temporal Logic on Finite Traces) satisfiability checking. We use propositional SAT-solving techniques to construct a transition system for the input LTLf formula; satisfiability…

Logic in Computer Science · Computer Science 2018-11-09 Jianwen Li , Kristin Y. Rozier , Geguang Pu , Yueling Zhang , Moshe Y. Vardi

The standard reasoning problem, concept satisfiability, in the basic description logic ALC is PSPACE-complete, and it is EXPTIME-complete in the presence of unrestricted axioms. Several fragments of ALC, notably logics in the FL, EL, and…

Logic in Computer Science · Computer Science 2010-03-30 Arne Meier , Thomas Schneider

Large Language Models (LLMs) have shown impressive performance in mathematical reasoning tasks when guided by Chain-of-Thought (CoT) prompting. However, they tend to produce highly confident yet incorrect outputs, which poses significant…

Machine Learning · Computer Science 2025-06-11 Zhenjiang Mao , Artem Bisliouk , Rohith Reddy Nama , Ivan Ruchkin

We consider the synthesis of distributed implementations for specifications in parameterized temporal logics such as PROMPT-LTL, which extends LTL by temporal operators equipped with parameters that bound their scope. For single process…

Logic in Computer Science · Computer Science 2018-02-28 Swen Jacobs , Leander Tentrup , Martin Zimmermann

Process mining extracts valuable insights from event data to help organizations improve their business processes, which is essential for their growth and success. By leveraging process mining techniques, organizations gain a comprehensive…

Databases · Computer Science 2024-06-14 Nesma M. Zaki , Iman M. A. Helal , Ehab E. Hassanein , Ahmed Awad

Various extensions of the temporal logic ATL have recently been introduced to express rich properties of multi-agent systems. Among these, ATLsc extends ATL with strategy contexts, while Strategy Logic has first-order quantification over…

Logic in Computer Science · Computer Science 2013-07-18 François Laroussinie , Nicolas Markey

The satisfiability problem for branching-time temporal logics like CTL*, CTL and CTL+ has important applications in program specification and verification. Their computational complexities are known: CTL* and CTL+ are complete for doubly…

Logic in Computer Science · Computer Science 2015-07-01 Oliver Friedmann , Martin Lange , Markus Latte

We consider the synthesis of distributed implementations for specifications in Prompt Linear Temporal Logic (PROMPT-LTL), which extends LTL by temporal operators equipped with parameters that bound their scope. For single process synthesis…

Logic in Computer Science · Computer Science 2016-09-15 Swen Jacobs , Leander Tentrup , Martin Zimmermann

Graded path modalities count the number of paths satisfying a property, and generalize the existential (E) and universal (A) path modalities of CTL*. The resulting logic is called GCTL*. We settle the complexity of satisfiability of GCTL*,…

Logic in Computer Science · Computer Science 2014-10-29 Benjamin Aminof , Aniello Murano , Sasha Rubin

In this paper we provide a notion of causality for the violation of general Linear Temporal Logic (LTL) properties. The current work is a natural extension of the previously proposed approach handling causality in the context of…

Formal Languages and Automata Theory · Computer Science 2019-01-04 Georgiana Caltais , Sophie Linnea Guetlein , Stefan Leue

We elaborate upon the theoretical foundations of a metric temporal extension of Answer Set Programming. In analogy to previous extensions of ASP with constructs from Linear Temporal and Dynamic Logic, we accomplish this in the setting of…

Artificial Intelligence · Computer Science 2020-09-23 Pedro Cabalar , Martin Dieguez , Torsten Schaub , Anna Schuhmann

Probabilistic Computation Tree Logic (PCTL) and Continuous Stochastic Logic (CSL) are often used to describe specifications of probabilistic properties for discrete time and continuous time, respectively. In PCTL and CSL, the possibility of…

Logic in Computer Science · Computer Science 2011-11-15 Takashi Tomita , Shigeki Hagihara , Naoki Yonezaki

This paper presents a transformational approach for model checking two important classes of metric temporal logic (MTL) properties, namely, bounded response and minimum separation, for nonhierarchical object-oriented Real-Time Maude…

Logic in Computer Science · Computer Science 2010-09-23 Daniela Lepri , Peter Csaba Ölveczky , Erika Ábrahám