2018
DOI: 10.1007/978-3-030-01090-4_5
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A Formally Verified Motion Planner for Autonomous Vehicles

Abstract: Autonomous vehicles are safety-critical cyber-physical systems. To ensure their correctness, we use a proof assistant to prove safety properties deductively. This paper presents a formally verified motion planner based on manoeuvre automata in Isabelle/HOL. Two general properties which we ensure are numerical soundness (the absence of floating-point errors) and logical correctness (satisfying a plan specified in linear temporal logic). From these two properties, we obtain a motion planner whose correctness onl… Show more

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Cited by 33 publications
(21 citation statements)
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“…The framework can be integrated into existing motion planning architectures and enables the fail-safe operation of self-driving vehicles. In [10], the authors use reachability analysis to compute the reachable sets of each motion primitive and subsequently to define the satisfaction relation of motion primitives with formulae in linear temporal logic.…”
Section: Related Work a Aircraft Guidance Navigation And Controlmentioning
confidence: 99%
“…The framework can be integrated into existing motion planning architectures and enables the fail-safe operation of self-driving vehicles. In [10], the authors use reachability analysis to compute the reachable sets of each motion primitive and subsequently to define the satisfaction relation of motion primitives with formulae in linear temporal logic.…”
Section: Related Work a Aircraft Guidance Navigation And Controlmentioning
confidence: 99%
“…desirable to make statements about worstcase input-output relations of (controlled) vehicle dynamics models, e.g. by applying reachability analysis [18,19]. When applied with proper system knowledge, such approaches can yield valuable formal proof whether safety constraints can be adhered to.…”
Section: A Relevance For Automated Drivingmentioning
confidence: 99%
“…Recent work such as [10][11][12] investigated verifying reachand-avoid tasks 1 or routing tasks in linear temporal logic (LTL). LTL is a formal language that combines boolean and temporal operators.…”
Section: Related Workmentioning
confidence: 99%