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lfa:reg [2018/07/23 13:39] pdmatei |
lfa:reg [2018/07/23 14:47] (current) pdmatei |
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If $math[i = j], then: | If $math[i = j], then: | ||
- | * $math[R^{(0)}_{ii}] may contain **zero** transitions, hence $math[R^{(0)}_{ij} = \epsilon] | + | * $math[R^{(0)}_{ii}] may contain **zero** transitions, hence $math[R^{(0)}_{ij} = \epsilon] |
- | * $math[R^{(0)}_{ii}] may contain one transition, and the construction follows the above rules, yielding some regular expression $math[E_0]. | + | * $math[R^{(0)}_{ii}] may contain one transition, and the construction follows the above rules, yielding some regular expression $math[E_0]. |
We combine the two situations in a single one: $math[R^{(0)}_{ii} = \epsilon \cup E_0], where $math[E_0] is constructed as above. | We combine the two situations in a single one: $math[R^{(0)}_{ii} = \epsilon \cup E_0], where $math[E_0] is constructed as above. | ||