Title
Neural termination analysis.
Abstract
We introduce a novel approach to the automated termination analysis of computer programs: we use neural networks to represent ranking functions. Ranking functions map program states to values that are bounded from below and decrease as a program runs; the existence of a ranking function proves that the program terminates. We train a neural network from sampled execution traces of a program so that the network's output decreases along the traces; then, we use symbolic reasoning to formally verify that it generalises to all possible executions. Upon the affirmative answer we obtain a formal certificate of termination for the program, which we call a neural ranking function. We demonstrate that thanks to the ability of neural networks to represent nonlinear functions our method succeeds over programs that are beyond the reach of state-of-the-art tools. This includes programs that use disjunctions in their loop conditions and programs that include nonlinear expressions.
Year
DOI
Venue
2022
10.1145/3540250.3549120
ACM SIGSOFT Conference on the Foundations of Software Engineering (FSE)
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Mirco Giacobbe195.29
Daniel Kroening233.08
Julian Parsert312.06