Haoyu Zhai created LUCENE-10010:
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             Summary: 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


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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