Proof assistant

Impossibility of gathering, a certification

Pierre Courtieu, Lionel Rieg, Sébastien Tixeuil, Xavier Urbain

Citations: 46 • 2014

Certified Impossibility Results for Byzantine-Tolerant Mobile Robots

Cédric Auger, Zohir Bouzid, Pierre Courtieu, Sébastien Tixeuil, Xavier Urbain

Citations: 44 • 2013

ROSCoq: Robots Powered by Constructive Reals

Abhishek Anand, Ross A. Knepper

Citations: 36 • 2015

Certified Universal Gathering in $$\mathbb {R} ^2$$ for Oblivious Mobile Robots

Pierre Courtieu, Lionel Rieg, Sébastien Tixeuil, Xavier Urbain

Citations: 26 • 2016

Synchronous Gathering without Multiplicity Detection: a Certified Algorithm

Thibaut Balabonski, Amélie Delga, Lionel Rieg, Sébastien Tixeuil, Xavier Urbain

Citations: 21 • 2018

The Importance of Being Formal

Udo Frese, Daniel Hausmann, Christoph Lüth, Holger Täubig, Dennis Walter

Citations: 12 • 2009

Continuous vs. Discrete Asynchronous Moves: A Certified Approach for Mobile Robots

Thibaut Balabonski, Pierre Courtieu, Robin Pelle, Lionel Rieg, Sébastien Tixeuil, Xavier Urbain

Citations: 11 • 2019

Experimental tests of resolution-based theorem-proving strategies

Jonathan Lawrence, John Starkey

Citations: 11 • 1976

Formal Verification of Multitask Hybrid Systems by the OTS/CafeOBJ Method

Masaki Nakamura, Kazutoshi Sakakibara, Yuki Okura, Kazuhiro Ogata

Citations: 6 • 2021

A Certified Universal Gathering Algorithm for Oblivious Mobile Robots

Pierre Courtieu, Lionel Rieg, Sébastien Tixeuil, Xavier Urbain

Citations: 6 • 2015

A framework for formal verification of robot kinematics

Guojun Xie, Huanhuan Yang, Gang Chen

Citations: 3 • 2024

Toward Structured Proofs for Dynamic Logics.

Brandon Bohrer, André Platzer

Citations: 3 • 2019

Proof of Properties of a Syntax Analyzer of Robotic Mission Plans

Laurent Nana, François Monin, Sophie Gire

Citations: 2 • 2019

Certified Universal Gathering in $R^2$ for Oblivious Mobile Robots

Pierre Courtieu, Lionel Rieg, Sébastien Tixeuil, Xavier Urbain

Citations: 2 • 2016