5 papers
Synthesis and Verification of Register Automata over Data Sequences (Technical Report)
Chih-Duo Hong, Hongjian Jiang, Anthony W. Lin +3
Data sequences, such as time series, traces, and sensor streams, are words over large or infinite data domains. Their properties often depend on comparisons between values at diffe…
Robustness Verification of Graph Neural Networks Via Lightweight Satisfiability Testing
Chia-Hsuan Lu, Tony Tan, Michael Benedikt
Graph neural networks (GNNs) are the predominant architecture for learning over graphs. As with any machine learning model, an important issue is the detection of attacks, where an…
Analysis of logics with arithmetic
Michael Benedikt, Chia-Hsuan Lu, Tony Tan
We present new results on finite satisfiability of logics with counting and arithmetic. One result is a tight bound on the complexity of satisfiability of logics with so-called loc…
Decidability of Graph Neural Networks via Logical Characterizations
Michael Benedikt, Chia-Hsuan Lu, Tony Tan
We present results concerning the expressiveness and decidability of a popular graph learning formalism, graph neural networks (GNNs), exploiting connections with logic. We use a f…
On the variable hierarchy of first-order spectra
Eryk Kopczynski, Tony Tan
The spectrum of a first-order logic sentence is the set of natural numbers that are cardinalities of its finite models. In this paper we study the hierarchy of first-order spectra…