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Generalize back-end for any AND node #105

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elefthei opened this issue Oct 19, 2023 · 0 comments
Open

Generalize back-end for any AND node #105

elefthei opened this issue Oct 19, 2023 · 0 comments

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@elefthei
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elefthei commented Oct 19, 2023

The back-end right now assumes SAFA AND nodes only have epsilon transitions.
That is not true; AND nodes only have skip transitions and it's always the case that those skips are total and disjoint:

Union_n [s1, s2, ... sn] = [0, infty) 
Insersection_n [s1, s2, ..., sn] = {}

This assumption is crucial for negation to work correctly and we now violate it by having nodes [e1 = \epsilon, e_2 = \epsilon, ...., e_n = \epsilon] such that
Union_n [s1, s2, ... sn] = \epsilon, not the full interval (not total).

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