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https://issues.apache.org/jira/browse/LUCENE-10010?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17367328#comment-17367328
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Michael McCandless commented on LUCENE-10010:
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Yeah, +1 to explore this!

It's a good solution – it sort of lazily computes the powersets for only those 
DFA states that the terms in the segment need to visit/intersect.  And it 
should mean no more (hmm, maybe just fewer) adversarial regular expressions, 
better protecting against [ReDoS attacks|https://en.wikipedia.org/wiki/ReDoS].

Maybe we can even reuse the internal APIs used during {{determinize}} to track 
these visited powersets, at search time?

> Should we have a NFA Query?
> ---------------------------
>
>                 Key: LUCENE-10010
>                 URL: https://issues.apache.org/jira/browse/LUCENE-10010
>             Project: Lucene - Core
>          Issue Type: New Feature
>          Components: core/search
>    Affects Versions: main (9.0)
>            Reporter: Haoyu Zhai
>            Priority: Major
>
> Today when a {{RegexpQuery}} is created, it will be translated to NFA, 
> determinized to DFA and eventually become an {{AutomatonQuery}}, which is 
> very fast. However, not every NFA could be determinized to DFA easily, the 
> example given in LUCENE-9981 showed how easy could a short regexp break the 
> determinize process.
> Maybe, instead of marking those kind of queries as adversarial cases, we 
> could make a new kind of NFA query, which execute directly on NFA and thus no 
> need to worry about determinize process or determinized DFA size. It should 
> be slower, but also makes those adversarial cases doable.
> [This article|https://swtch.com/~rsc/regexp/regexp1.html] has provided a 
> simple but efficient way of searching over NFA, essentially it is a partial 
> determinize process that only determinize the necessary part of DFA. Maybe we 
> could give it a try?



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