Acyclic DFA Minimization: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 38: | Line 38: | ||
[[File:DFA Minimization - Acyclic DFA Minimization - Space.png|1000px]] | [[File:DFA Minimization - Acyclic DFA Minimization - Space.png|1000px]] | ||
== | == Space-Time Tradeoff Improvements == | ||
[[File:DFA Minimization - Acyclic DFA Minimization - Pareto Frontier.png|1000px]] | [[File:DFA Minimization - Acyclic DFA Minimization - Pareto Frontier.png|1000px]] | ||
Revision as of 14:36, 15 February 2023
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
Error creating thumbnail: Unable to save thumbnail to destination
Space Complexity Graph
Error creating thumbnail: Unable to save thumbnail to destination
Space-Time Tradeoff Improvements
Error creating thumbnail: Unable to save thumbnail to destination