Title
Monitoring Temporal Properties Using Interval Analysis
Abstract
Verification of temporal logic properties plays a crucial role in proving the desired behaviors of continuous systems. In this paper, we propose an interval method that verifies the properties described by a bounded signal temporal logic. We relax the problem so that if the verification process cannot succeed at the prescribed precision, it outputs an inconclusive result. The problem is solved by an efficient and rigorous monitoring algorithm. This algorithm performs a forward simulation of a continuous-time dynamical system, detects a set of time intervals in which the atomic propositions hold, and validates the property by propagating the time intervals. In each step, the continuous state at a certain time is enclosed by an interval vector that is proven to contain a unique solution. We experimentally demonstrate the utility of the proposed method in formal analysis of nonlinear and complex continuous systems.
Year
DOI
Venue
2016
10.1587/transfun.E99.A.442
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
DocType
Volume
continuous-time dynamical systems, interval analysis, linear temporal logic, falsification method
Journal
E99A
Issue
ISSN
Citations 
2
0916-8508
2
PageRank 
References 
Authors
0.37
15
3
Name
Order
Citations
PageRank
Daisuke Ishii151.50
Naoki Yonezaki210720.02
Alexandre Goldsztejn316121.42