On Complementation of Nondeterministic Finite Automata Without Full Determinization

• Autoři: HOLÍK Lukáš; LENGÁL Ondřej; MAJOR Juraj; ŠTĚPKOVÁ Adéla; STREJČEK Jan
• Rok publikování: 2025
• Druh: Článek ve sborníku
• Konference: Fundamentals of Computation Theory - 25th International Symposium, FCT 2025, Wrocław, Poland, September 15-17, 2025, Proceedings
• Fakulta / Pracoviště MU: Fakulta informatiky
• www: https://link.springer.com/chapter/10.1007/978-3-032-04700-7_17
• Doi: https://doi.org/10.1007/978-3-032-04700-7_17
• Klíčová slova: finite automata; complementation; nondeterministic finite automata; determinization
• Popis: Complementation of finite automata is a basic operation used in numerous applications. The standard way to complement a nondeterministic finite automaton (NFA) is to transform it into an equivalent deterministic finite automaton (DFA) and complement the DFA. The DFA can, however, be exponentially larger than the corresponding NFA. In this paper, we study several alternative approaches to complementation, which are based either on reverse powerset construction or on two novel constructions that exploit a commonly occurring structure of NFAs. Our experiment on a large data set shows that using a different than the classical approach can, in many cases, yield significantly smaller complements.

Související projekty

• Cyber-security Excellence Hub in Estonia and South Moravia (CHESS)
• Modelování, analýza a verifikace (2025)