expression tree

expression tree

(mathematics, grammar)
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For this sake, we work on the expression tree of the formula, looking for its transformation into an equivalent family of boolean circuits of minimum depth.
Generation of Suitable Equivalent Formulas for Parallelism The idea is, we have a FO formula then we want to find another equivalent, such that its expression tree has special characteristics that allow to obtain a finite subfamily of boolean circuits whose width and depth are suitable for the class NC1, this is Size- Depth([n.
2], then [phi] is represented with an expression tree whose root is a node labelled with the respective connective and whose left and right subtrees respectively correspond to the expression trees for [[phi].
1], then [phi] it is represented with an expression tree whose root is a node labelled with the connective [logical not] and whose left subtree corresponds to the expression tree for [[phi].
1], then [phi] is represented with an expression tree whose root is a node labelled with the respective quantifier, whose left subtree corresponds to the expression tree for ?
Let v a node of the expression tree of a FO formula, we define recursively the mapping P as follows:
We define width of a node to a total mapping A:V[right arrow]N, where V is the nodes set of the formula expression tree, and where A(v) indicates the amount of leaves of the corresponding boolean subcircuit that will be generated from v.
Let v a node of the expression tree of a FO formula, we recursively define the mapping A as follows:
Let T an expression tree for FO formula [phi], then we can distinguish different subtrees types T'.
The expression tree having just one node for representing the negation connective ([logical not]).
The formula expression tree which is maximal in amount of nodes and which all the nodes have the same connective and ([conjunction]) or ([disconjunction]).
They cover its syntax and how to use it with in-memory objects, relational data, and XML, and advanced uses such as expression trees, and applications in different scenarios such as ASP.