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LTL synthesis -- the construction of a function to satisfy a logical specification formulated in Linear Temporal Logic -- is a 2EXPTIME-complete problem with relevant applications in controller synthesis and a myriad of artificial…

Logic in Computer Science · Computer Science 2016-11-18 Jorge A. Baier , Alberto Camacho , Christian Muise , Sheila A. McIlraith

We present a novel formalisation of tensor semantics for linear temporal logic on finite traces (LTLf), with formal proofs of correctness carried out in the theorem prover Isabelle/HOL. We demonstrate that this formalisation can be…

Artificial Intelligence · Computer Science 2025-01-24 Mark Chevallier , Filip Smola , Richard Schmoetten , Jacques D. Fleuriot

Machine learning techniques using neural networks have achieved promising success for time-series data classification. However, the models that they produce are challenging to verify and interpret. In this paper, we propose an explainable…

Formal Languages and Automata Theory · Computer Science 2023-07-04 Danyang Li , Mingyu Cai , Cristian-Ioan Vasile , Roberto Tron

This paper introduces a logic with a class of social network models that is based on standard Linear Temporal Logic (LTL), leveraging the power of existing model checkers for the analysis of social networks. We provide a short literature…

Social and Information Networks · Computer Science 2021-03-15 Vitor Machado , Mario Benevides

Learning formulas in Linear Temporal Logic (LTLf) from finite traces is a fundamental research problem which has found applications in artificial intelligence, software engineering, programming languages, formal methods, control of…

Artificial Intelligence · Computer Science 2026-01-14 Gabriel Bathie , Nathanaël Fijalkow , Théo Matricon , Baptiste Mouillon , Pierre Vandenhove

In reverse engineering of database queries, we aim to construct a query from a given set of answers and non-answers; it can then be used to explore the data further or as an explanation of the answers and non-answers. We investigate this…

Logic in Computer Science · Computer Science 2023-05-08 Marie Fortin , Boris Konev , Vladislav Ryzhikov , Yury Savateev , Frank Wolter , Michael Zakharyaschev

Humans continuously make new discoveries, and understanding temporal sequence of events leading to these breakthroughs is essential for advancing science and society. This ability to reason over time allows us to identify future steps and…

Computation and Language · Computer Science 2025-04-03 Abhilash Shankarampeta , Harsh Mahajan , Tushar Kataria , Dan Roth , Vivek Gupta

We classify the complexity of the LTL satisfiability and model checking problems for several standard parameterisations. The investigated parameters are temporal depth, number of propositional variables and formula treewidth, resp.,…

Logic in Computer Science · Computer Science 2015-09-23 Martin Lück , Arne Meier

A class of interval-based temporal languages for uniformly representing and reasoning about actions and plans is presented. Actions are represented by describing what is true while the action itself is occurring, and plans are constructed…

Artificial Intelligence · Computer Science 2011-05-30 A. Artale , E. Franconi

We study the generalization abilities of language models when translating natural language into formal specifications with complex semantics. In particular, we fine-tune language models on three datasets consisting of English sentences and…

Software Engineering · Computer Science 2022-10-21 Christopher Hahn , Frederik Schmitt , Julia J. Tillman , Niklas Metzger , Julian Siber , Bernd Finkbeiner

Pattern learning in an important problem in Natural Language Processing (NLP). Some exhaustive pattern learning (EPL) methods (Bod, 1992) were proved to be flawed (Johnson, 2002), while similar algorithms (Och and Ney, 2004) showed great…

Artificial Intelligence · Computer Science 2011-04-21 Libin Shen

Temporal Reasoning (TR) is a critical ability for LLMs to understand and reason over temporal information and relationships between events. To study the TR ability in LLMs, prior works provide different ways for evaluating various aspects…

Computation and Language · Computer Science 2026-01-06 Weizhi Tang , Kwabena Nuamah , Vaishak Belle

We train hierarchical Transformers on the task of synthesizing hardware circuits directly out of high-level logical specifications in linear-time temporal logic (LTL). The LTL synthesis problem is a well-known algorithmic challenge with a…

Machine Learning · Computer Science 2021-07-27 Frederik Schmitt , Christopher Hahn , Markus N. Rabe , Bernd Finkbeiner

Hyperproperties, like observational determinism or symmetry, cannot be expressed as properties of individual computation traces, because they describe a relation between multiple computation traces. HyperLTL is a temporal logic that…

Logic in Computer Science · Computer Science 2016-06-23 Bernd Finkbeiner , Christopher Hahn

In a seminal paper from 1985, Sistla and Clarke showed that satisfiability for Linear Temporal Logic (LTL) is either NP-complete or PSPACE-complete, depending on the set of temporal operators used. If, in contrast, the set of propositional…

Logic in Computer Science · Computer Science 2015-07-01 Michael Bauland , Thomas Schneider , Henning Schnoor , Ilka Schnoor , Heribert Vollmer

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

Finding a logical formula that separates positive and negative examples given in the form of labeled data items is fundamental in applications such as concept learning, reverse engineering of database queries, generating referring…

Logic in Computer Science · Computer Science 2022-08-18 Jean Christoph Jung , Carsten Lutz , Hadrien Pulcini , Frank Wolter

Effective evaluation of language models remains an open challenge in NLP. Researchers and engineers face methodological issues such as the sensitivity of models to evaluation setup, difficulty of proper comparisons across methods, and the…

The capability of making interpretable and self-explanatory decisions is essential for developing responsible machine learning systems. In this work, we study the learning to explain problem in the scope of inductive logic programming…

Artificial Intelligence · Computer Science 2020-02-20 Yuan Yang , Le Song

Large Language Models (LLMs) encapsulate a surprising amount of factual world knowledge. However, their performance on temporal questions and historical knowledge is limited because they often cannot understand temporal scope and…

Computation and Language · Computer Science 2025-03-24 Jonas Wallat , Abdelrahman Abdallah , Adam Jatowt , Avishek Anand
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