Minimal NFA problems are hard

T Jiang, B Ravikumar - SIAM Journal on Computing, 1993 - SIAM
Finite automata (FA's) are of fundamental importance in theory and in applications. The
following basic minimization problem is studied: Given a DFA (deterministic FA), find a …

Expressive languages for path queries over graph-structured data

P Barceló, L Libkin, AW Lin, PT Wood - ACM Transactions on Database …, 2012 - dl.acm.org
For many problems arising in the setting of graph querying (such as finding semantic
associations in RDF graphs, exact and approximate pattern matching, sequence alignment …

[图书][B] Automata theory and its applications

B Khoussainov, A Nerode - 2012 - books.google.com
The theory of finite automata on finite stings, infinite strings, and trees has had a dis
tinguished history. First, automata were introduced to represent idealized switching circuits …

Descriptional and computational complexity of finite automata—A survey

M Holzer, M Kutrib - Information and Computation, 2011 - Elsevier
Finite automata are probably best known for being equivalent to right-linear context-free
grammars and, thus, for capturing the lowest level of the Chomsky-hierarchy, the family of …

Nondeterministic descriptional complexity of regular languages

M Holzer, M Kutrib - … Journal of Foundations of Computer Science, 2003 - World Scientific
We investigate the descriptional complexity of operations on finite and infinite regular
languages over unary and arbitrary alphabets. The languages are represented by …

[PDF][PDF] Regular expressions: New results and open problems

K Ellul, B Krawetz, J Shallit, MW Wang - J. Autom. Lang. Comb., 2005 - cs.uwaterloo.ca
Regular Expressions: New Results and Open Problems Page 1 Journal of Automata,
Languages and Combinatorics u (v) w, x–y Otto-von-Guericke-Universität Magdeburg Regular …

A survey on operational state complexity

Y Gao, N Moreira, R Reis, S Yu - arXiv preprint arXiv:1509.03254, 2015 - arxiv.org
Descriptional complexity is the study of the conciseness of the various models representing
formal languages. The state complexity of a regular language is the size, measured by the …

Unary language operations, state complexity and Jacobsthal's function

G Pighizzini, J Shallit - … Journal of Foundations of Computer Science, 2002 - World Scientific
In this paper we give the cost, in terms of states, of some basic operations (union,
intersection, concatenation, and Kleene star) on regular languages in the unary case (where …

A cookbook for temporal conceptual data modelling with description logics

A Artale, R Kontchakov, V Ryzhikov… - ACM Transactions on …, 2014 - dl.acm.org
We design temporal description logics (TDLs) suitable for reasoning about temporal
conceptual data models and investigate their computational complexity. Our formalisms are …

Towards more efficient methods for solving regular-expression heavy string constraints

M Berzish, JD Day, V Ganesh, M Kulczynski… - Theoretical Computer …, 2023 - Elsevier
Widespread use of string solvers in the formal analysis of string-heavy programs has led to a
growing demand for more efficient and reliable techniques which can be applied in this …