Monitoring Temporal Logic with Clock Variables

Elgyütt, Adrián; Ferrère, Thomas; Henzinger, Thomas A.

doi:10.1007/978-3-030-00151-3_4

Cited by 4 publications

(4 citation statements)

References 32 publications

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“…The AAN fragment of TPTL was chosen due to its polynomial time complexity while still being strictly more expressive then STL. Note that further algorithmic improvements on AAN-TPTL are possible, for example, see Elgyutt et al (2018); Ghorbel and Prabhu (2022). Nevertheless, TQTL cannot reason directly about properties of bounding boxes.…”

Section: Related Workmentioning

confidence: 99%

“…Unfortunately, the time complexity of monitoring TPTL requirements is PSPACE-hard (see Markey and Raskin (2006)). Even though the syntax and semantics of STPL that we introduce in Section 4 allow arbitrary use of time variables in the formulas, in practice, in our implementation, we focus on TPTL fragments which are computable in polynomial time (see Dokhanchi et al (2016); Elgyutt et al (2018); Ghorbel and Prabhu (2022)).…”

Section: Introductionmentioning

confidence: 99%

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Formalizing and evaluating requirements of perception systems for automated vehicles using spatio-temporal perception logic

Hekmatnejad,

Hoxha,

Deshmukh

et al. 2024

The International Journal of Robotics Research

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Automated vehicles (AV) heavily depend on robust perception systems. Current methods for evaluating vision systems focus mainly on frame-by-frame performance. Such evaluation methods appear to be inadequate in assessing the performance of a perception subsystem when used within an AV. In this paper, we present a logic—referred to as Spatio-Temporal Perception Logic (STPL)—which utilizes both spatial and temporal modalities. STPL enables reasoning over perception data using spatial and temporal operators. One major advantage of STPL is that it facilitates basic sanity checks on the functional performance of the perception system, even without ground truth data in some cases. We identify a fragment of STPL which is efficiently monitorable offline in polynomial time. Finally, we present a range of specifications for AV perception systems to highlight the types of requirements that can be expressed and analyzed through offline monitoring with STPL.

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Section: Related Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Formalizing and evaluating requirements of perception systems for automated vehicles using spatio-temporal perception logic

Hekmatnejad,

Hoxha,

Deshmukh

et al. 2024

The International Journal of Robotics Research

View full text Add to dashboard Cite

show abstract

“…Unfortunately, the time complexity of monitoring TPTL requirements is PSPACE-hard [27]. Hence, we work with TPTL fragments that are efficiently computable [28], [29].…”

Section: Introductionmentioning

confidence: 99%

Formalizing and Evaluating Requirements of Perception Systems for Automated Vehicles using Spatio-Temporal Perception Logic

Hekmat-Nejad¹,

Hoxha²,

Deshmukh³

et al. 2022

Preprint

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Automated vehicles (AV) heavily depend on robust perception systems. Current methods for evaluating vision systems focus mainly on frame-by-frame performance. Such evaluation methods appear to be inadequate in assessing the performance of a perception subsystem when used within an AV. In this paper, we present a logic -referred to as Spatio-Temporal Perception Logic (STPL) -which utilizes both spatial and temporal modalities. STPL enables reasoning over perception data using spatial and temporal relations. One major advantage of STPL is that it facilitates basic sanity checks on the real-time performance of the perception system, even without ground-truth data in some cases. We identify a fragment of STPL which is efficiently monitorable offline in polynomial time. Finally, we present a range of specifications for AV perception systems to highlight the types of requirements that can be expressed and analyzed through offline monitoring with STPL.

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“…When monitoring logics with quantifiers using standard bottom-up approach, subformulas containing free variables evaluate not to Boolean-or real-valued signals, but to maps from time to non-convex sets, and they cannot in general be efficiently manipulated (although for some classes of formulas monitoring of logics with quantifiers works well [4,13]). Perhaps the most benign in this respect but also least expressive extension is 1-TPTL (TPTL with one active clock), which is as expressive as MITL, but is easier to use and admits a reasonably efficient monitoring procedure [11].…”

Section: Introductionmentioning

confidence: 99%

Specification and Efficient Monitoring Beyond STL

Bakhirkin

Basset

2019

Tools and Algorithms for the Construction and Analysis of Systems

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An appealing feature of Signal Temporal Logic (STL) is the existence of efficient monitoring algorithms both for Boolean and realvalued robustness semantics, which are based on computing an aggregate function (conjunction, disjunction, min, or max) over a sliding window. On the other hand, there are properties that can be monitored with the same algorithms, but that cannot be directly expressed in STL due to syntactic restrictions. In this paper, we define a new specification language that extends STL with the ability to produce and manipulate real-valued output signals and with a new form of until operator. The new language still admits efficient offline monitoring, but also allows to express some properties that in the past motivated researchers to extend STL with existential quantification, freeze quantification, and other features that increase the complexity of monitoring.

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Monitoring Temporal Logic with Clock Variables

Cited by 4 publications

References 32 publications

Formalizing and evaluating requirements of perception systems for automated vehicles using spatio-temporal perception logic

Formalizing and evaluating requirements of perception systems for automated vehicles using spatio-temporal perception logic

Formalizing and Evaluating Requirements of Perception Systems for Automated Vehicles using Spatio-Temporal Perception Logic

Specification and Efficient Monitoring Beyond STL

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