@article(Bir92, author = {Jean{-}Camille Birget}, year = {1992}, title = {Intersection and Union of Regular Languages and State Complexity}, journal = {Inf. Process. Lett.}, volume = {43}, number = {4}, pages = {185--190}, doi = {10.1016/0020-0190(92)90198-5}, ) @article(GMP07, author = {Viliam Geffert and Carlo Mereghetti and Giovanni Pighizzini}, year = {2007}, title = {Complementing two-way finite automata}, journal = {Inf. Comput.}, volume = {205}, number = {8}, pages = {1173--1187}, doi = {10.1016/j.ic.2007.01.008}, ) @article(Hi67, author = {Thomas N. Hibbard}, year = {1967}, title = {A Generalization of Context-Free Determinism}, journal = {Inf. Control.}, volume = {11}, number = {1/2}, pages = {196--238}, doi = {10.1016/S0019-9958(67)90513-X}, ) @book(HU79, author = {John E. Hopcroft and Jeffrey D. Ullman}, year = {1979}, title = {Introduction to Automata Theory, Languages and Computation}, publisher = {Addison-Wesley}, ) @inproceedings(Kap05, author = {Christos A. Kapoutsis}, year = {2005}, title = {Removing bidirectionality from nondeterministic finite automata}, booktitle = {MFCS~2005}, series = {Lecture Notes in Computer Science}, volume = {3618}, publisher = {Springer}, pages = {544--555}, doi = {10.1007/11549345_47}, ) @article(Pi13, author = {Giovanni Pighizzini}, year = {2013}, title = {Two-Way Finite Automata: Old and Recent Results}, journal = {Fundam. Inform.}, volume = {126}, number = {2-3}, pages = {225--246}, doi = {10.3233/FI-2013-879}, ) @inproceedings(Pig19, author = {Giovanni Pighizzini}, year = {2019}, title = {Limited Automata: Properties, Complexity and Variants}, booktitle = {{DCFS} 2019}, series = {Lecture Notes in Computer Science}, volume = {11612}, publisher = {Springer}, pages = {57--73}, doi = {10.1007/978-3-030-23247-4\_4}, ) @article(PP14, author = {Giovanni Pighizzini and Andrea Pisoni}, year = {2014}, title = {Limited Automata and Regular Languages}, journal = {Int. J. Found. Comput. Sci.}, volume = {25}, number = {7}, pages = {897--916}, doi = {10.1142/S0129054114400140}, ) @article(PP15, author = {Giovanni Pighizzini and Andrea Pisoni}, year = {2015}, title = {Limited Automata and Context-Free Languages}, journal = {Fundam. Inform.}, volume = {136}, number = {1-2}, pages = {157--176}, doi = {10.3233/FI-2015-1148}, ) @article(PP19, author = {Giovanni Pighizzini and Luca Prigioniero}, year = {2019}, title = {Limited automata and unary languages}, journal = {Inf. Comput.}, volume = {266}, pages = {60--74}, doi = {10.1016/j.ic.2019.01.002}, ) @inproceedings(PP23b, author = {Giovanni Pighizzini and Luca Prigioniero}, year = {2023}, title = {Forgetting 1-Limited Automata}, booktitle = {NCMA 2023}, series = {Electronic Proceedings in Theoretical Computer Science}, note = {To appear}, url = {https://doi.org/10.48550/arXiv.2307.16700}, ) @inproceedings(PP23, author = {Giovanni Pighizzini and Luca Prigioniero}, year = {2023}, title = {Two-way Machines and de {B}ruijn Words}, booktitle = {CIAA 2023}, series = {Lecture Notes in Computer Science}, volume = {14151}, pages = {254--265}, doi = {10.1007/978-3-031-40247-0_19}, ) @article(PPS22, author = {Giovanni Pighizzini and Luca Prigioniero and {\v{S}}{\'{a}}dovsk{\'{y}}, Simon}, year = {2022}, title = {1-Limited Automata: Witness Languages and Techniques}, journal = {J. Autom. Lang. Comb.}, volume = {27}, number = {1-3}, pages = {229--244}, doi = {10.25596/jalc-2022-229}, ) @article(RS59, author = {Michael O. Rabin and Dana S. Scott}, year = {1959}, title = {Finite Automata and Their Decision Problems}, journal = {{IBM} J. Res. Dev.}, volume = {3}, number = {2}, pages = {114--125}, doi = {10.1147/rd.32.0114}, ) @inproceedings(SS78, author = {William J. Sakoda and Michael Sipser}, year = {1978}, title = {Nondeterminism and the Size of Two Way Finite Automata}, booktitle = {STOC 1978}, publisher = {{ACM}}, pages = {275--286}, doi = {10.1145/800133.804357}, ) @article(She59, author = {John C. Shepherdson}, year = {1959}, title = {The Reduction of Two-Way Automata to One-Way Automata}, journal = {{IBM} J. Res. Dev.}, volume = {3}, number = {2}, pages = {198--200}, doi = {10.1147/rd.32.0198}, ) @article(Sip80, author = {Michael Sipser}, year = {1980}, title = {Halting Space-Bounded Computations}, journal = {Theor. Comput. Sci.}, volume = {10}, pages = {335--338}, doi = {10.1016/0304-3975(80)90053-5}, ) @article(Sip80b, author = {Michael Sipser}, year = {1980}, title = {Lower Bounds on the Size of Sweeping Automata}, journal = {J. Comput. Syst. Sci.}, volume = {21}, number = {2}, pages = {195--202}, doi = {10.1016/0022-0000(80)90034-3}, ) @book(WW86, author = {Klaus W. Wagner and Gerd Wechsung}, year = {1986}, title = {Computational complexity}, publisher = {D.~Reidel Publishing Company, Dordrecht}, )