Non-self-embedding grammars, constant-height pushdown automata and 1-limited automata are restrictions of context-free grammars, pushdown automata and Turing machines, respectively. All of them characterize the class of regular languages. There is a double size exponential gap from each of these models to deterministic finite automata. Non-self-embedding grammars and constant-height pushdown automata are polynomially related in size. Moreover, there exists a polynomial size simulation by 1-limited automata. In contrast, the converse transformation costs exponential.

On some succinct representations of regular languages : extended abstract / B. Guillon, G. Pighizzini, L. Prigioniero (CEUR WORKSHOP PROCEEDINGS). - In: Italian Conference on Theoretical Computer Science / [a cura di] A. Aldini, M. Bernardo. - [s.l] : CEUR-WS, 2018. - pp. 203-207 (( Intervento presentato al 19. convegno Italian Conference on Theoretical Computer Science tenutosi a Urbino nel 2018.

On some succinct representations of regular languages : extended abstract

B. Guillon
;
G. Pighizzini
;
L. Prigioniero
2018

Abstract

Non-self-embedding grammars, constant-height pushdown automata and 1-limited automata are restrictions of context-free grammars, pushdown automata and Turing machines, respectively. All of them characterize the class of regular languages. There is a double size exponential gap from each of these models to deterministic finite automata. Non-self-embedding grammars and constant-height pushdown automata are polynomially related in size. Moreover, there exists a polynomial size simulation by 1-limited automata. In contrast, the converse transformation costs exponential.
Settore INF/01 - Informatica
http://ceur-ws.org/Vol-2243/paper19.pdf
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/606003
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