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Controller synthesis for general linear temporal logic (LTL) objectives is a challenging task. The standard approach involves translating the LTL objective into a deterministic parity automaton (DPA) by means of the Safra-Piterman…

Logic in Computer Science · Computer Science 2018-05-04 Javier Esparza , Jan Křetínský , Jean-François Raskin , Salomon Sickert

Individual machines in flexible production lines explicitly expose capabilities at their interfaces by means of parametric skills. Given such a set of configurable machines, a line integrator is faced with the problem of finding and tuning…

Formal Languages and Automata Theory · Computer Science 2016-05-23 Chih-Hong Cheng , Lacramioara Astefanoaei , Harald Ruess , Souha Ben Rayana , Saddek Bensalem

We present a hybrid compositional approach for real-time mission planning for multi-rotor unmanned aerial vehicles (UAVs) in a time critical search and rescue scenario. Starting with a known environment, we specify the mission using Metric…

Robotics · Computer Science 2021-04-19 Usman A. Fiaz , John S. Baras

Transformer large language models (LLMs) have sparked admiration for their exceptional performance on tasks that demand intricate multi-step reasoning. Yet, these models simultaneously show failures on surprisingly trivial problems. This…

Asynchronous automata are a model of distributed finite state processes synchronising on shared actions. A celebrated result by Zielonka shows how a deterministic asynchronous automaton (AA) can be synthesised, starting from two inputs: a…

Formal Languages and Automata Theory · Computer Science 2026-02-02 Béatrice Bérard , Benjamin Monmege , B Srivathsan , Arnab Sur

The heterogeneity of tools that support temporal logic formulae poses several challenges in terms of interoperability. In particular, a standard syntax for temporal logic on finite traces, despite similar to the one for infinite traces, is…

Logic in Computer Science · Computer Science 2021-06-09 Marco Favorito

A modern approach to engineering correct-by-construction systems is to synthesize them automatically from formal specifications. Oftentimes, a system can only satisfy its guarantees if certain environment assumptions hold, which motivates…

Logic in Computer Science · Computer Science 2015-07-10 Roderick Bloem , Ruediger Ehlers , Robert Koenighofer

Research in robotic planning with temporal logic specifications, such as Linear Temporal Logic (LTL), has relied on single formulas. However, as task complexity increases, LTL formulas become lengthy, making them difficult to interpret and…

Robotics · Computer Science 2025-06-06 Xusheng Luo , Changliu Liu

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

Synthesis is the automatic construction of a system from its specification. In classical synthesis algorithms it is always assumed that the system is "constructed from scratch" rather than composed from reusable components. This, of course,…

Logic in Computer Science · Computer Science 2011-11-10 Yoad Lustig , Moshe Vardi

We discuss the problem of experimentally evaluating linear-time temporal logic (LTL) synthesis tools for reactive systems. We first survey previous such work for the currently publicly available synthesis tools, and then draw conclusions by…

Logic in Computer Science · Computer Science 2011-02-22 Rüdiger Ehlers

Temporal logic has been widely used to express complex task specifications for cyber-physical systems (CPSs). One way to synthesize a controller for CPS under temporal logic constraints is to first abstract the CPS as a discrete transition…

Systems and Control · Electrical Eng. & Systems 2021-09-28 Luyao Niu , Andrew Clark

A hallmark of human intelligence is the ability to construct self-contained chunks of knowledge and reuse them in novel combinations for solving different problems. Learning such compositional structures has been a challenge for artificial…

Machine Learning · Computer Science 2022-07-26 Jorge A. Mendez

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

We introduce transductive program synthesis, a new formulation of the program synthesis task that explicitly leverages test inputs during synthesis. While prior approaches to program synthesis--whether based on natural language descriptions…

Artificial Intelligence · Computer Science 2025-10-22 Kang-il Lee , Jahyun Koo , Seunghyun Yoon , Minbeom Kim , Hyukhun Koh , Dongryeol Lee , Kyomin Jung

In this paper, we investigate the control synthesis problem for Signal Temporal Logic (STL) specifications in the presence of uncontrollable agents. Existing works mainly address this problem in a robust control setting by assuming the…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Bohan Cui , Xinyi Yu , Alessandro Giua , Xiang Yin

Verification of real-time systems with multiple components controlled by multiple parties is a challenging task due to its computational complexity. We present an on-the-fly algorithm for verifying timed alternating-time temporal logic…

Logic in Computer Science · Computer Science 2025-06-10 Nicolaj Ø. Jensen , Kim G. Larsen , Didier Lime , Jiří Srba

We present a novel counterexample-guided, sketch-based method for the synthesis of symbolic distributed protocols in TLA+. Our method's chief novelty lies in a new search space reduction technique called interpretation reduction, which…

Logic in Computer Science · Computer Science 2025-01-27 Derek Egolf , Stavros Tripakis

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

Given a specification $\varphi(X,Y)$ over inputs $X$ and output $Y$, defined over a background theory $\mathbb{T}$, the problem of program synthesis is to design a program $f$ such that $Y=f(X)$ satisfies the specification $\varphi$. Over…

Artificial Intelligence · Computer Science 2021-05-20 Priyanka Golia , Subhajit Roy , Kuldeep S. Meel
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