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Visibly Pushdown Automata and Transducers with Counters

Ibarra O. H.

Fundamenta Informaticae

2016

Vol. 148, nr 3/4

291--308

We generalize the models of visibly pushdown automata (VPDAs) and visibly pushdown transducers (VPDTs) by equipping them with reversal-bounded counters. We show that some of the results for VPDAs and VPDTs (e.g., closure under intersection and decidability of emptiness for VPDA languages) carry over to the generalized models, but other results (e.g., determinization and closure under complementation) do not carry over, in general. We define a model that combines the desirable features of a VPDA and reversal-bounded counters, called 2- phase VPCM, and show that the deterministic and nondeterministic versions are equivalent and that the family of languages they define is closed under Boolean operations and has decidable emptiness, infiniteness, disjointness, containment, and equivalence problems. We also investigate the finite-ambiguity and finite-valuedness problems concerning these devices.

Blackhole Pushdown Automata

Csuhaj-Varjú E., Masopust T., Vaszil G.

Fundamenta Informaticae

2011

Vol. 112, nr 2/3

137-156

We introduce and investigate blackhole pushdown automata, variants of pushdown automata, where a string can always be pushed to the pushdown, but only a given depth of the pushdown content is remembered (the rest of the pushdown content is either canceled or becomes inaccessible). We also study blackhole variants of regulated pushdown automata, where the automaton in some distinguished states checks the form of its pushdown content against a given control language. We present characterizations of several language families in terms of these constructs.