RAIRO-Theor. Inf. Appl.
Volume 50, Number 4, October-December 2016
7th Non-Classical Models of Automata and Applications (NCMA-2015)
|Page(s)||295 - 311|
|Published online||02 June 2016|
A pumping lemma for flip-pushdown languages∗
Department of Computer Science, Faculty of Mathematics, Physics
and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48
Received: 16 December 2015
Accepted: 24 March 2016
Flip-pushdown automata are pushdown automata with an extra ability to reverse the contents of the pushdown store. A generalisation of the pumping lemma for context-free languages is presented, which applies to the families of languages accepted by flip-pushdown automata with k pushdown flips, for an arbitrary constant k. The presented result gives rise to a new technique for disproving existence of flip-pushdown automata with a constant number of flips, which is significantly simpler compared to methods used for this purpose so far.
Mathematics Subject Classification: 68Q45
Key words: Pumping lemma / flip-pushdown automaton / flip-pushdown language / reversal-generating context-free grammar
© EDP Sciences 2016
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