What is the space complexity of the CTL model checking algorithm via labeling without fairness (see e.g. Model Checking by Clarke at al Section 4.1 or Principles of Model Checking by Baier et al Section 6.4) that has time complexity $O(\mathit{propertyFormulaSize} \cdot (\mathit{numberOfStates} + \mathit{numberOfTransitions}))$? Is there a citable reference?DetailsIs the space complexity of this algorithm $\Theta(\mathit{numberOfStates} \cdot (\mathit{propertyFormulaSize} + \mathit{numberOfTransitions}))$ or smaller, e.g. $\Theta(\mathit{numberOfStates} \cdot (\mathit{propertyFormulaSize} + \mathit{ld}(\mathit{numberOfTransitions})))$ by smartly iterating over the transitions without storing them while sustaining time complexity $O(\mathit{propertyFormulaSize} \cdot (\mathit{numberOfStates} + \mathit{numberOfTransitions}))$?
What is the space complexity of CTL model checking?
ds.algorithms;model checking;space complexity