Qualitative and Quantitative Monitoring of Spatio-Temporal Properties with SSTL

In spatially located, large scale systems, time and space dynamics interact and drives the behaviour. Examples of such systems can be found in many smart city applications and Cyber-Physical Systems. In this paper we present the Signal Spatio-Temporal Logic (SSTL), a modal logic that can be used to...

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Bibliographic Details
Published in:Logical methods in computer science Vol. 14, Issue 4; no. Modal and temporal logics
Main Authors: Nenzi, L., Bortolussi, L., Ciancia, V., Loreti, M., Massink, M.
Format: Journal Article
Language:English
Published: Logical Methods in Computer Science e.V 01.01.2018
Subjects:
computer science - logic in computer science
f.4.1
ISSN:1860-5974, 1860-5974
Online Access:Get full text
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Summary:In spatially located, large scale systems, time and space dynamics interact and drives the behaviour. Examples of such systems can be found in many smart city applications and Cyber-Physical Systems. In this paper we present the Signal Spatio-Temporal Logic (SSTL), a modal logic that can be used to specify spatio-temporal properties of linear time and discrete space models. The logic is equipped with a Boolean and a quantitative semantics for which efficient monitoring algorithms have been developed. As such, it is suitable for real-time verification of both white box and black box complex systems. These algorithms can also be combined with stochastic model checking routines. SSTL combines the until temporal modality with two spatial modalities, one expressing that something is true somewhere nearby and the other capturing the notion of being surrounded by a region that satisfies a given spatio-temporal property. The monitoring algorithms are implemented in an open source Java tool. We illustrate the use of SSTL analysing the formation of patterns in a Turing Reaction-Diffusion system and spatio-temporal aspects of a large bike-sharing system. Comment: 36 pages with 13 figures
ISSN:1860-5974
1860-5974
DOI:10.23638/LMCS-14(4:2)2018