Binary decision diagram
From ScienceZero
- Decider order of variables
- Create truth table
- Create tree from truth table
- Merge equivalent leaves - We want two leaves, [ 1 ] and [ 0 ]. Redirect all edges from the removed nodes to the equivalent leave
- Merge isomorphic nodes - Remove all nodes that have the same variable and identical children as another node. Redirect all edges that went into the redundant node into the one copy that you kept
- Eliminate redundant tests - Remove all nodes that has the same child twice. Redirect all edges into redundant node into the child node
- Repeat steps 4 5 6 until no more improvements can be made
We now have a canonical reduced ordered binary decision diagram. All nodes now represents different functions that all are canonical.
Problem: This procedure becomes impossible with more than 5 variables. With 6 variables the truth table alone will be 2^64 bits long!
Solution: Build the reduced tree directly from the boolean expression.
How: To be determined...