Properties of Visibly Pushdown Transducers

Autor: Emmanuel Filiot, Jean-Marc Talbot, Jean-François Raskin, Frédéric Servais, Pierre-Alain Reynier
Přispěvatelé: Département d'Informatique [Bruxelles] (ULB), Faculté des Sciences [Bruxelles] (ULB), Université libre de Bruxelles (ULB)-Université libre de Bruxelles (ULB), Laboratoire d'informatique Fondamentale de Marseille - UMR 6166 (LIF), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Centre National de la Recherche Scientifique (CNRS), Filiot, Emmanuel
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Discrete mathematics
Nested word
Computer science
Existential quantification
Pushdown automaton
Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
0102 computer and information sciences
02 engineering and technology
01 natural sciences
Decidability
[INFO.INFO-FL]Computer Science [cs]/Formal Languages and Automata Theory [cs.FL]
010201 computation theory & mathematics
Computer Science::Logic in Computer Science
0202 electrical engineering
electronic engineering
information engineering

Nesting (computing)
020201 artificial intelligence & image processing
Equivalence (formal languages)
Word (computer architecture)
Computer Science::Formal Languages and Automata Theory
[INFO.INFO-FL] Computer Science [cs]/Formal Languages and Automata Theory [cs.FL]
PSPACE
Zdroj: 35th International Symposium on Mathematical Foundations of Computer Science
35th International Symposium on Mathematical Foundations of Computer Science, Aug 2010, Brno, Czech Republic
Mathematical Foundations of Computer Science 2010 ISBN: 9783642151545
Popis: International audience; Visibly pushdown transducers (VPTs) form a strict subclass of pushdown transducers (PTs) that extends finite state transducers with a stack. Like visibly pushdown automata, the input symbols determine the stack operations. It has been shown that visibly pushdown languages form a robust subclass of context-free languages. Along the same line, we show that word transductions defined by VPTs enjoy strong properties, in contrast to PTs. In particular, functionality is decidable in PTime, k-valuedness is in NPTime and equivalence of (non-deterministic) functional VPTs is ExpTime-C. Those problems are undecidable for PTs. Output words of VPTs are not necessarily well-nested. We identify a general subclass of VPTs that produce well-nested words, which is closed by composition, and for which the type checking problem is decidable.
Databáze: OpenAIRE