Title
Learning Nondeterministic Real-Time Automata
Abstract
We present an active learning algorithm named NRTALearning for nondeterministic real-time automata (NRTAs). Real-time automata (RTAs) are a subclass of timed automata with only one clock which resets at each transition. First, we prove the corresponding Myhill-Nerode theorem for real-time languages. Then we show that there exists a unique minimal deterministic real-time automaton (DRTA) recognizing a given real-time language, but the same does not hold for NRTAs. We thus define a special kind of NRTAs, named residual real-time automata (RRTAs), and prove that there exists a minimal RRTA to recognize any given real-time language. This transforms the learning problem of NRTAs to the learning problem of RRTAs. After describing the learning algorithm in detail, we prove its correctness and polynomial complexity. In addition, based on the corresponding Myhill-Nerode theorem, we extend the existing active learning algorithm NL* for nondeterministic finite automata to learn RRTAs. We evaluate and compare the two algorithms on two benchmarks consisting of randomly generated NRTAs and rational regular expressions. The results show that NRTALearning generally performs fewer membership queries and more equivalence queries than the extended NL* algorithm, and the learnt NRTAs have much fewer locations than the corresponding minimal DRTAs. We also conduct a case study using a model of scheduling of final testing of integrated circuits.
Year
DOI
Venue
2021
10.1145/3477030
ACM TRANSACTIONS ON EMBEDDED COMPUTING SYSTEMS
Keywords
DocType
Volume
Active learning, model learning, nondeterministic real-time automata, real-time languages
Journal
20
Issue
ISSN
Citations 
5
1539-9087
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Jie An112.72
Bohua Zhan212.38
Naijun Zhan303.04
Miaomiao Zhang413226.12