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2022 Fiscal Year Research-status Report

Practical Framework for the Formal Verification of Cooperative Mobile Robots Algorithms

Research Project

Project/Area Number 21K11748
Research InstitutionTokyo Institute of Technology

Principal Investigator

DEFAGO Xavier  東京工業大学, 情報理工学院, 教授 (70333557)

Co-Investigator(Kenkyū-buntansha) 和田 幸一  法政大学, 理工学部, 教授 (90167198)
田村 康将  東京工業大学, 情報理工学院, 助教 (50773701)
Project Period (FY) 2021-04-01 – 2024-03-31
Keywords自律分散ロボット群 / モデル検証 / 分散アルゴリズム / 自己安定
Outline of Annual Research Achievements

The project aims at applying model checking to automatically verify the correctness of multi-robot algorithms and the problem of rendezvous in particular. Based on several important theorems that we have proved, we have developed a verification model that allows us to automatically verify the correctness of a given rendezvous algorithm in a model-checker (SPIN). Our model is designed to be conservative in the sense that, if an algorithm A passes the verification in the model, then this algorithm is correct in the real-world but the reverse is not true (A could be correct in the real-world even if it fails in the model).
During this year, we have further extended the verification model with support for several consistency models and found novel algorithms that can work in these models. We have published the results as a journal version and made the model publicly available under an open-source license.
In addition, we have progressed on the front of algorithm synthesis. In short, given a system model, we generate all possible algorithms, reduce the search space with several filtering rules to keep only those that are viable, and check each remaining algorithm with the model checker. This allows us to find known algorithms as well as new ones in models that are solvable, and partially map the known models for the existence of algorithms.
Our model does not allow to prove the non-existence: when an algorithm is found it is guaranteed to be correct, but some correct algorithm can possibly be evaluated as incorrect.

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

We have proved considerably solidified our results on the verification model and the variants of self-stabilization and, after several rounds of review, published the results in a journal paper (Robotics and Autonomous Systems; https://doi.org/10.1016/j.robot.2023.104378) to appear in May 2023. In addition, the verification has been released publicly under the MIT license (https://github.com/xdefago/spin-light) in June 2022.

We have presented the results on synthesis and developed further results at a workshop in 2022 (http://sbrinz.di.unipi.it/peppe/MAC2022/MAC2022.html). The synthesis program, written in Promela and Rust, is in a github repository (https://github.com/xdefago/synth-lights) currently private but that will be made public after our results have been accepted for publication. Since last year, the program has been extended for parallel execution and more aggressive filters.

Strategy for Future Research Activity

Our short term plan is to complete the manuscript on synthesis for publication. The core of the investigation work on the problem of rendezvous is now essentially done. We have now begun to investigate additional models and apply the method to other problems.

Causes of Carryover

The normalization of international transport occurred gradually only from the middle of the academic year, which has resulted in fewer trips than planned. These trips have instead been postponed to the academic year 2023.

Remarks

The private github repository about algorithm synthesis will be opened after the first publication on this topic.

  • Research Products

    (9 results)

All 2023 2022 Other

All Int'l Joint Research (1 results) Journal Article (5 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 5 results,  Open Access: 1 results) Presentation (1 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results) Remarks (2 results)

  • [Int'l Joint Research] Sorbonne University(フランス)

    • Country Name
      FRANCE
    • Counterpart Institution
      Sorbonne University
  • [Journal Article] Offline Time-Independent Multiagent Path Planning2023

    • Author(s)
      Okumura Keisuke、Bonnet Francois、Tamura Yasumasa、Defago Xavier
    • Journal Title

      IEEE Transactions on Robotics

      Volume: 39 Pages: 2720~2737

    • DOI

      10.1109/TRO.2023.3258690

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Using Model Checking to Formally Verify Rendezvous Algorithms for Robots with Lights in Euclidean Space2023

    • Author(s)
      X. Defago, A. Heriban, S. Tixeuil, K. Wada
    • Journal Title

      Robotics and Autonomous Systems

      Volume: 163 Pages: Art. 104378

    • DOI

      10.1016/j.robot.2023.104378

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Priority Inheritance with Backtracking for Iterative Multi-agent Path Finding2022

    • Author(s)
      K. Okumura, M. Machida, X. Defago, Y. Tamura
    • Journal Title

      Artificial Intelligence

      Volume: 310 Pages: Art. 103752

    • DOI

      10.1016/j.artint.2022.103752

    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Offline Time-Independent Multi-agent Path Planning2022

    • Author(s)
      K. Okumura, F. Bonnet, Y. Tamura, X. Defago
    • Journal Title

      31st International Conference on Artificial Intelligence (IJCAI)

      Volume: n/a Pages: 4649-4656

    • DOI

      10.24963/ijcai.2022/645

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Solving Simultaneous Target Assignment and Path Planning Efficiently with TIme-Independent Execution2022

    • Author(s)
      K. Okumura, X. Defago
    • Journal Title

      32nd International Conference on Automated Planning and Scheduling (ICAPS)

      Volume: n/a Pages: 270-278

    • DOI

      10.1609/icaps.v32i1.19810

    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Verification and Synthesis of Rendezvous Algorithms for Luminous Robots2022

    • Author(s)
      Xavier Defago
    • Organizer
      Research Meeting and School on Distributed Computing by Mobile Robots
    • Int'l Joint Research / Invited
  • [Remarks] Verification model (public github repository)

    • URL

      https://github.com/xdefago/spin-light

  • [Remarks] Algorithm synthesis (private github repository)

    • URL

      https://github.com/xdefago/synth-lights

URL: 

Published: 2023-12-25  

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