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Formal Methods for Autonomous Systems

delete2023-01-01
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OA
AI
T
Tichakorn Wongpiromsarn *
M
Mahsa Ghasemi *
M
Murat Cubuktepe
G
Georgios Bakirtzis
S
Steven Carr
M
Mustafa O. Karabag
C
Cyrus Neary
P
Parham Gohari
U
Ufuk Topcu
DOI:10.1561/2600000029delete
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Abstract

Abstract

En 中文
Formal methods refer to rigorous, mathematical approaches to system development and have played a key role in establishing the correctness of safety-critical systems. The main building blocks of formal methods are models and specifications, which are analogous to behaviors and requirements in system design and give us the means to verify and synthesize system behaviors with formal guarantees. This monograph provides a survey of the current state of the art on applications of formal methods in the autonomous systems domain. We consider correct-by-construction synthesis under various formulations, including closed systems, reactive, and probabilistic settings. Beyond synthesizing systems in known environments, we address the concept of uncertainty and bound the behavior of systems that employ learning using formal methods. Further, we examine the synthesis of systems with monitoring, a mitigation technique for ensuring that once a system deviates from expected behavior, it knows a way of returning to normalcy. We also show how to overcome some limitations of formal methods themselves with learning. We conclude with future directions for formal methods in reinforcement learning, uncertainty, privacy, explainability of formal methods, and regulation and certification.
Keywords:
MARKOV DECISION-PROCESSES
DISCRETE-EVENT SYSTEMS
LINEAR TEMPORAL LOGIC
MODEL-CHECKING
PARAMETER SYNTHESIS
REACTIVE SYSTEMS
ROBUST-CONTROL
VERIFICATION
CORRECT
SPACE

Journal

F
Foundations and Trends in Systems and Control
IF:
0.7
Papers:
12
Citations:
242

Organization

I
Iowa State University
Scholars:
2.1W
Papers: 1.8W
Citations: 2.5W
Purdue University System cover
Purdue University System
Scholars:
3.9W
Papers: 3.6W
Citations: 66
P
Purdue University
Scholars:
2.6W
Papers: 2.1W
Citations: 147
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