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Related papers: Symbolic Synthesis for LTLf+ Obligations

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The idea of automatic synthesis of reactive programs starting from temporal logic (LTL) specifications is quite old, but was commonly thought to be infeasible due to the known double exponential complexity of the problem. However, new ideas…

Logic in Computer Science · Computer Science 2011-02-22 Andreas Morgenstern , Klaus Schneider

In this paper, we study LTLf synthesis under environment specifications for arbitrary reachability and safety properties. We consider both kinds of properties for both agent tasks and environment specifications, providing a complete…

Logic in Computer Science · Computer Science 2023-08-30 Benjamin Aminof , Giuseppe De Giacomo , Antonio Di Stasio , Hugo Francon , Sasha Rubin , Shufang Zhu

In this paper, we investigate the problem of synthesizing strategies for linear temporal logic (LTL) specifications that are interpreted over finite traces -- a problem that is central to the automated construction of controllers, robot…

Logic in Computer Science · Computer Science 2018-09-03 Alberto Camacho , Meghyn Bienvenu , Sheila A. McIlraith

We present an extension of the Temporal Logic Synthesis Format (TLSF). TLSF builds on standard LTL, but additionally supports high-level constructs, such as sets and functions, as well as parameters that allow a specification to define a…

Logic in Computer Science · Computer Science 2026-04-15 Swen Jacobs , Guillermo A. Perez , Philipp Schlehuber-Caissier

The parameter synthesis problem for parametric timed automata is undecidable in general even for very simple reachability properties. In this paper we introduce restrictions on parameter valuations under which the parameter synthesis…

Formal Languages and Automata Theory · Computer Science 2016-03-07 Peter Bezděk , Nikola Beneš , Jiří Barnat , Ivana Černá

Strategy synthesis typically follows an all-or-nothing paradigm, returning unrealisable whenever a specification cannot be guaranteed in an uncertain environment. In this paper, we introduce optimal LTLf synthesis, where the goal is to…

Artificial Intelligence · Computer Science 2026-05-28 Yujian Cao , Sven Schewe , Qiyi Tang , Shufang Zhu

In this paper we address the synthesis problem for specifications given in linear temporal single-agent epistemic logic, KLTL (or $KL_1$), over single-agent systems having imperfect information of the environment state. Van der Meyden and…

Logic in Computer Science · Computer Science 2014-05-05 Rodica Bozianu , Catalin Dima , Emmanuel Filiot

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

Reactive synthesis is the process of generating correct controllers from temporal logic specifications. Classical LTL reactive synthesis handles (propositional) LTL as a specification language. Boolean abstractions allow reducing LTLt…

Logic in Computer Science · Computer Science 2024-07-15 Andoni Rodríguez , Felipe Gorostiaga , César Sánchez

In this paper we give automata-based representation of LTL-FO$^+$ properties. LTL-FO$^+$ is an extension of LTL that includes first-order quantification over bounded variable, thus greatly increasing the expressivity of the language. An…

Formal Languages and Automata Theory · Computer Science 2016-10-25 Yannick Lebrun , Raphaël Khoury , Sylvain Hallé

We study the problem of synthesizing string to string transformations from a set of input/output examples. The transformations we consider are expressed using deterministic finite automata (DFA) that read pairs of letters, one letter from…

Formal Languages and Automata Theory · Computer Science 2018-06-06 Jad Hamza , Viktor Kunčak

Decision-making policies for agents are often synthesized with the constraint that a formal specification of behaviour is satisfied. Here we focus on infinite-horizon properties. On the one hand, Linear Temporal Logic (LTL) is a popular…

Artificial Intelligence · Computer Science 2021-06-01 Jan Křetínský

We study positional properties in the context of game-based reactive synthesis. Our motivation stems from having a usable specification logic, for which tractable synthesis is guaranteed. We demonstrate that every $\omega$-regular…

Logic in Computer Science · Computer Science 2026-04-29 Jessica Newman , Benjamin Plummer

We extend previous work on symbolic self-triggered control for non-deterministic continuous-time nonlinear systems without stability assumptions to a larger class of specifications. Our goal is to synthesise a controller for two objectives:…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Sasinee Pruekprasert , Clovis Eberhart , Jérémy Dubut

Large language models (LLMs) have demonstrated strong performance on formal language tasks, yet whether this reflects genuine symbolic reasoning or pattern matching on familiar constructions remains unclear. We introduce a benchmark for…

Computation and Language · Computer Science 2026-01-21 Shlok Shelat , Jay Raval , Souvik Roy , Manas Gaur

Correct-by-design synthesis provides a principled framework for establishing formal safety guarantees for stochastic multi-agent systems (MAS). However, conventional approaches based on finite abstractions often incur prohibitive…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Xinyuan Qiu , Ruohan Wang , Siyuan Liu , Sofie Haesaert

We present the first model-free Reinforcement Learning (RL) algorithm to synthesise policies for an unknown Markov Decision Process (MDP), such that a linear time property is satisfied. The given temporal property is converted into a Limit…

Machine Learning · Computer Science 2019-02-19 Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

Temporal synthesis attempts to construct reactive programs that satisfy a given declarative (LTL) formula. Practitioners have found it challenging to work exclusively with declarative specifications, and have found languages that combine…

Logic in Computer Science · Computer Science 2021-07-05 Shaun Azzopardi , Nir Piterman , Gerardo Schneider

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

Mining specifications from execution traces presents an automated way of capturing characteristic system behaviors. However, existing approaches are largely restricted to Boolean abstractions of events, limiting their ability to express…

Logic in Computer Science · Computer Science 2026-03-10 Sam Nicholas Kouteili , William Fishell , Christian Scaff , Mark Santolucito , Ruzica Piskac