Title
Tradeoffs between reliability and conciseness of deterministic finite automata
Abstract
In this paper, we propose a model for measuring the reliability of the description of a language L by a deterministic finite automaton M. Intuitively, the reliability M exhibits when used for L is high if the 'difference' between L and the language T(M) accepted by M is small. Using this model, we prove that the savings in the number of states between a fully reliable and a less reliable representation cannot be bounded by any function, even if the unreliable descriptions are required to exceed any given fixed level of reliability. Furthermore, we show that, for a single regular language, there is a level of reliability such that any description exceeding this level is at least as big as the smallest DFA for the language.
Year
Venue
Keywords
2004
Journal of Automata, Languages and Combinatorics
fixed level,m. intuitively,unreliable description,reliable representation,language l,reliability m,deterministic finite automaton,smallest dfa,single regular language,regular language,software reliability,finite automata,deterministic finite automata
Field
DocType
Volume
Quantum finite automata,Discrete mathematics,Two-way deterministic finite automaton,Deterministic automaton,Nondeterministic finite automaton,Deterministic finite automaton,Powerset construction,Algorithm,DFA minimization,Regular language,Mathematics
Journal
9
Issue
Citations 
PageRank 
2-3
5
0.51
References 
Authors
7
2
Name
Order
Citations
PageRank
Martin Kappes116620.28
Chandra M. R. Kintala234842.70