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January 14th, 2019, 10:44 PM  #1 
Member Joined: Dec 2018 From: Amsterdam Posts: 40 Thanks: 2  Relation Algebra, why is this PDL sentence equivalent
In the book modal logic for open minds by johan van benthem there is on page 161 a statement that the sentence $\langle (R\lor S)* \rangle \phi$ is equivalent to the sentence $\langle (R* ; S*)* \rangle \phi$ (* means iteration and ; means composition here) So: $\langle (R\lor S)* \rangle \phi \equiv \langle (R* ; S*)* \rangle \phi$ Why is this equivalent to each other? 

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algebra, equivalent, pdl, relation, sentence 
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