LARA

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tree_automata [2010/05/25 15:33]
vkuncak
tree_automata [2010/05/27 18:10]
vkuncak
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 Projection. Projection.
 +
  
 ===== Weak Monadic Logic of Two Successors (WS2S) ===== ===== Weak Monadic Logic of Two Successors (WS2S) =====
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 where $succ0$ takes a tree node and finds its left child: where $succ0$ takes a tree node and finds its left child:
 \[ \[
-   ​\alpha(succ) = \{ (\{w\},​\{w0\}) \mid w \in \Sigma^* \}+   ​\alpha(succ0) = \{ (\{w\},​\{w0\}) \mid w \in \Sigma^* \}
 \] \]
 and where $succ1$ takes a tree node and finds its right child: and where $succ1$ takes a tree node and finds its right child:
 \[ \[
-   ​\alpha(succ) = \{ (\{w\},​\{w1\}) \mid w \in \Sigma^* \}+   ​\alpha(succ1) = \{ (\{w\},​\{w1\}) \mid w \in \Sigma^* \}
 \] \]