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Related papers: Full LTL Synthesis over Infinite-state Arenas

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While most of the current synthesis algorithms only focus on correctness-by-construction, ensuring robustness has remained a challenge. Hence, in this paper, we address the robust-by-construction synthesis problem by considering the…

Logic in Computer Science · Computer Science 2024-01-23 Satya Prakash Nayak , Daniel Neider , Martin Zimmermann

Given a Linear Temporal Logic (LTL) formula over input and output variables, reactive synthesis requires us to design a deterministic Mealy machine that gives the values of outputs at every time step for every sequence of inputs, such that…

Logic in Computer Science · Computer Science 2024-01-23 S. Akshay , Eliyahu Basa , Supratik Chakraborty , Dror Fried

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

Inductive program synthesis, or programming by example, requires synthesizing functions from input-output examples that generalize to unseen inputs. While large language model agents have shown promise in programming tasks guided by natural…

Programming Languages · Computer Science 2025-08-11 Anjiang Wei , Tarun Suresh , Jiannan Cao , Naveen Kannan , Yuheng Wu , Kai Yan , Thiago S. F. X. Teixeira , Ke Wang , Alex Aiken

Linear temporal logic (LTL) has recently been adopted as a powerful formalism for specifying complex, temporally extended tasks in multi-task reinforcement learning (RL). However, learning policies that efficiently satisfy arbitrary…

Artificial Intelligence · Computer Science 2025-04-01 Mathias Jackermeier , Alessandro Abate

Automatic synthesis of hardware components from declarative specifications is an ambitious endeavor in computer aided design. Existing synthesis algorithms are often implemented with Binary Decision Diagrams (BDDs), inheriting their…

Logic in Computer Science · Computer Science 2013-11-15 Roderick Bloem , Robert Koenighofer , Martina Seidl

In this paper, we address the problem of the (reactive) realizability of specifications of theories richer than Booleans, including arithmetic theories. Our approach transforms theory specifications into purely Boolean specifications by (1)…

Logic in Computer Science · Computer Science 2023-10-27 Andoni Rodriguez , Cesar Sanchez

In separation logic program analyses, tractability is generally achieved by restricting invariants to a finite abstract domain. As this domain cannot vary, loss of information can cause failure even when verification is possible in the…

Logic in Computer Science · Computer Science 2015-05-01 Matko Botinčan , Mike Dodds , Stephen Magill

We propose algorithms for performing model checking and control synthesis for discrete-time uncertain systems under linear temporal logic (LTL) specifications. We construct temporal logic trees (TLT) from LTL formulae via reachability…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Yulong Gao , Alessandro Abate , Frank J. Jiang , Mirco Giacobbe , Lihua Xie , Karl H. Johansson

We study the problem of control synthesis for multi-agent systems, to achieve complex, high-level, long-term goals that are assigned to each agent individually. As the agents might not be capable of satisfying their respective goals by…

Robotics · Computer Science 2014-03-18 Jana Tumova , Dimos V. Dimarogonas

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 introduce LTLf+ and PPLTL+, two logics to express properties of infinite traces, that are based on the linear-time temporal logics LTLf and PPLTL on finite traces. LTLf+/PPLTL+ use levels of Manna and Pnueli's LTL safety-progress…

Logic in Computer Science · Computer Science 2024-11-15 Benjamin Aminof , Giuseppe De Giacomo , Sasha Rubin , Moshe Y. Vardi

LLMs have fundamentally transformed dense retrieval, upgrading backbones from discriminative encoders to generative architectures. However, a critical disconnect remains: while LLMs possess strong reasoning capabilities, current retrievers…

Computation and Language · Computer Science 2026-03-03 Jiajie Jin , Yanzhao Zhang , Mingxin Li , Dingkun Long , Pengjun Xie , Yutao Zhu , Zhicheng Dou

We introduce a tableau decision method for deciding realizability of specifications expressed in a safety fragment of LTL that includes bounded future temporal operators. Tableau decision procedures for temporal and modal logics have been…

Logic in Computer Science · Computer Science 2022-06-06 Montserrat Hermo , Paqui Lucio , César Sánchez

Constructing abstract interpreters that provide global soundness guarantees remains a major obstacle in abstract interpretation. We investigate whether modern LLMs can reduce this burden by leveraging them to synthesize sound, non-trivial…

Programming Languages · Computer Science 2025-11-18 Qiuhan Gu , Avaljot Singh , Gagandeep Singh

The synthesis of reactive systems aims for the automated construction of strategies for systems that interact with their environment. Whereas the synthesis approach has the potential to change the development of reactive systems…

Logic in Computer Science · Computer Science 2024-11-04 Linda Feeken , Martin Fränzle

Cyber-physical systems (CPS) are systems that interact with the physical world via sensors and actuators. In such a system, the reading of a sensor represents measures of a physical quantity, and sensor values are often reals ranged over…

Software Engineering · Computer Science 2013-07-16 Chih-Hong Cheng , Edward A. Lee

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

The essential step of abstraction-based control synthesis for nonlinear systems to satisfy a given specification is to obtain a finite-state abstraction of the original systems. The complexity of the abstraction is usually the dominating…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Yiming Meng , Jun Liu

Reactive synthesis aims at automatic construction of systems from their behavioural specifications. The research mostly focuses on synthesis of systems dealing with Boolean signals. But real-life systems are often described using…

Formal Languages and Automata Theory · Computer Science 2018-09-14 Ayrat Khalimov , Benedikt Maderbacher , Roderick Bloem
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