An Efficient Formula Synthesis Method with Past Signal Temporal Logic

Ergurtuna M., AYDIN GÖL E.

5th IFAC Conference on Intelligent Control and Automation Sciences (ICONS), Belfast, United Kingdom, 21 - 23 August 2019, vol.52, pp.43-48 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 52
  • Doi Number: 10.1016/j.ifacol.2019.09.116
  • City: Belfast
  • Country: United Kingdom
  • Page Numbers: pp.43-48
  • Keywords: Signal Temporal Logic, Formal methods, Formula Synthesis
  • Middle East Technical University Affiliated: Yes


In this work, we propose a novel method to find temporal properties that lead to the unexpected behaviors from labeled dataset. We express these properties in past time Signal Temporal Logic (ptSTL). First, we present a novel approach for finding parameters of a template ptSTL formula, which extends the results on monotonicity based parameter synthesis. The proposed method optimizes a given monotone criteria while bounding an error. Then, we employ the parameter synthesis method in an iterative unguided formula synthesis framework. In particular, we combine optimized formulas iteratively to describe the causes of the labeled events while bounding the error. We illustrate the proposed framework on two examples. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.