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Related papers: Multi-Property Synthesis

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We study a variant of LTLf synthesis that synthesizes adaptive strategies for achieving a multi-tier goal, consisting of multiple increasingly challenging LTLf objectives in nondeterministic planning domains. Adaptive strategies are…

Artificial Intelligence · Computer Science 2025-04-30 Giuseppe De Giacomo , Gianmarco Parretti , Shufang Zhu

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

LTLf synthesis is the process of finding a strategy that satisfies a linear temporal specification over finite traces. An existing solution to this problem relies on a reduction to a DFA game. In this paper, we propose a symbolic framework…

Logic in Computer Science · Computer Science 2017-09-22 Shufang Zhu , Lucas M. Tabajara , Jianwen Li , Geguang Pu , Moshe Y. Vardi

In this paper, we study incremental LTLf synthesis -- a form of reactive synthesis where the goals are given incrementally while in execution. In other words, the protagonist agent is already executing a strategy for a certain goal when it…

Artificial Intelligence · Computer Science 2026-03-03 Giuseppe De Giacomo , Yves Lespérance , Gianmarco Parretti , Fabio Patrizi , Moshe Y. Vardi

The classical LTL synthesis problem is purely qualitative: the given LTL specification is realized or not by a reactive system. LTL is not expressive enough to formalize the correctness of reactive systems with respect to some quantitative…

Logic in Computer Science · Computer Science 2013-01-10 Aaron Bohy , Véronique Bruyère , Emmanuel Filiot , Jean-François Raskin

The problem of LTLf reactive synthesis is to build a transducer, whose output is based on a history of inputs, such that, for every infinite sequence of inputs, the conjoint evolution of the inputs and outputs has a prefix that satisfies a…

Formal Languages and Automata Theory · Computer Science 2025-07-04 Alexandre Duret-Lutz , Shufang Zhu , Nir Piterman , Giuseppe de Giacomo , Moshe Y Vardi

In synthesis, assumptions are constraints on the environment that rule out certain environment behaviors. A key observation here is that even if we consider systems with LTLf goals on finite traces, environment assumptions need to be…

Artificial Intelligence · Computer Science 2019-12-18 Shufang Zhu , Giuseppe De Giacomo , Geguang Pu , Moshe Vardi

Two-player games are a fruitful way to represent and reason about several important synthesis tasks. These tasks include controller synthesis (where one asks for a controller for a given plant such that the controlled plant satisfies a…

Logic in Computer Science · Computer Science 2023-08-22 Stanly Samuel , Deepak D'Souza , Raghavan Komondoor

Many systems are naturally modeled as Markov Decision Processes (MDPs), combining probabilities and strategic actions. Given a model of a system as an MDP and some logical specification of system behavior, the goal of synthesis is to find a…

Logic in Computer Science · Computer Science 2020-09-24 Andrew M. Wells , Morteza Lahijanian , Lydia E. Kavraki , Moshe Y. Vardi

LTLf synthesis under partial observability requires reasoning about unobservable environment variables, which is typically handled by constructing a belief-state DFA via subset construction that universally quantifies these variables.…

Logic in Computer Science · Computer Science 2026-05-05 Nadav Alon , Supratik Chakraborty , Alexandre Duret-Lutz , Dror Fried , Lucas M. Tabajara , Moshe Y. Vardi , Shufang Zhu

In the classical synthesis problem, we are given an LTL formula psi over sets of input and output signals, and we synthesize a transducer that realizes psi. One weakness of automated synthesis in practice is that it pays no attention to the…

Logic in Computer Science · Computer Science 2016-08-24 Shaull Almagor , Orna Kupferman

Recently, interest has increased in applying reactive synthesis to richer-than-Boolean domains. A major (undecidable) challenge in this area is to establish when certain repeating behaviour terminates in a desired state when the number of…

Logic in Computer Science · Computer Science 2025-12-04 Shaun Azzopardi , Luca Di Stefano , Nir Piterman , Gerardo Schneider

We study synthesis for obligation properties expressed in LTLfp, the extension of LTLf to infinite traces. Obligation properties are positive Boolean combinations of safety and guarantee (co-safety) properties and form the second level of…

Logic in Computer Science · Computer Science 2026-04-21 Giuseppe De Giacomo , Christian Hagemeier , Daniel Hausmann , Nir Piterman

Most specification languages express only qualitative constraints. However, among two implementations that satisfy a given specification, one may be preferred to another. For example, if a specification asks that every request is followed…

Logic in Computer Science · Computer Science 2013-05-29 Roderick Bloem , Krishnendu Chatterjee , Thomas A. Henzinger , Barbara Jobstmann

We present an on-the-fly synthesis framework for Linear Temporal Logic over finite traces (LTLf) based on top-down deterministic automata construction. Existing approaches rely on constructing a complete Deterministic Finite Automaton (DFA)…

Artificial Intelligence · Computer Science 2024-08-15 Shengping Xiao , Yongkang Li , Shufang Zhu , Jun Sun , Jianwen Li , Geguang Pu , Moshe Y. Vardi

LTL synthesis is the problem of synthesizing a reactive system from a formal specification in Linear Temporal Logic. The extension of allowing for partial observability, where the system does not have direct access to all relevant…

Logic in Computer Science · Computer Science 2020-09-24 Lucas M. Tabajara , Moshe Y. Vardi

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

We investigate the problem of controller synthesis for hyperproperties specified in the temporal logic HyperLTL. Hyperproperties are system properties that relate multiple execution traces. Hyperproperties can elegantly express…

Logic in Computer Science · Computer Science 2021-01-25 Borzoo Bonakdarpour , Bernd Finkbeiner

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

Large Language models (LLMs) have shown promise as generators of symbolic control policies, producing interpretable program-like representations through iterative search. However, these models are not capable of separating the functional…

Machine Learning · Computer Science 2025-10-02 Carlo Bosio , Matteo Guarrera , Alberto Sangiovanni-Vincentelli , Mark W. Mueller
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