Acyclic DFA Minimization (DFA Minimization)
Revision as of 10:22, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Acyclic DFA Minimization (DFA Minimization)}} == Description == Given an acyclic finite deterministic automaton (DFA) from a class $C$ of DFAs, determine its minimal automaton given by the equivalence relation on states. == Related Problems == Generalizations: DFA Minimization Related: Cyclic Nontrivial SCCs DFA Minimization == Parameters == <pre>$n$: number of states $d$: number of transitions $k$: size of alphabet</pre> == Table of Algo...")
Description
Given an acyclic finite deterministic automaton (DFA) from a class $C$ of DFAs, determine its minimal automaton given by the equivalence relation on states.
Related Problems
Generalizations: DFA Minimization
Related: Cyclic Nontrivial SCCs DFA Minimization
Parameters
$n$: number of states $d$: number of transitions $k$: size of alphabet
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Revuz's algorithm | 1992 | $O(n)$ | $O(n)$ | Exact | Deterministic | Time & Space |
Time Complexity graph
Space Complexity graph
Pareto Decades graph
