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A recent paper proposed an algorithm iSOIRE, which combines single-occurrenceautomaton (SOA) and maximum independent set (MIS) to learn a subclasssingle-occurrence regular expressions with interleaving (SOIREs) and claims thelearnt expression is SOIRE, which has unrestricted usage for interleaving.However, in reality, the learnt expression still has many restrictions forusing interleaving, even does for Kleene-star or interation, i.e, the learntexpression is not an SOIRE, we prove that by examples. In this paper, for thealgorithm iSOIRE, we first give the basic notions, then provide analyses aboutincorrectness, finally present the correct result learnt by iSOIRE. Ourtheoretical analyses demonstrate that the result derived by iSOIRE belongs to asubclass of SOIREs.

Discovering an Algorithm Actually Learning Restricted Single Occurrence Regular Expression with Interleaving