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Related papers: Simulation of Two-Way Pushdown Automata Revisited

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An experiment is described that confirms the security of a well-studied class of cryptographic protocols (Dolev-Yao intruder model) can be verified by two-way nondeterministic pushdown automata (2NPDA). A nondeterministic pushdown program…

Programming Languages · Computer Science 2018-04-02 Robert Glück

We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata…

Logic in Computer Science · Computer Science 2023-06-22 Vojtěch Forejt , Petr Jančar , Stefan Kiefer , James Worrell

Parallel communicating systems of pushdown automata (PCPA) were introduced in (Csuhaj-Varj{\'u} et. al. 2000) and in their centralized variants shown to be able to simulate nondeterministic one-way multi-head pushdown automata. A claimed…

Formal Languages and Automata Theory · Computer Science 2014-08-07 Holger Petersen

In order for neural networks to learn complex languages or grammars, they must have sufficient computational power or resources to recognize or generate such languages. Though many approaches have been discussed, one ob- vious approach to…

Artificial Intelligence · Computer Science 2017-11-17 G. Z. Sun , C. L. Giles , H. H. Chen , Y. C. Lee

In this tutorial, we illustrate through examples how we can combine two classical models, namely those of pushdown automata (PDA) and timed automata, in order to obtain timed pushdown automata (TPDA). Furthermore, we describe how the…

Logic in Computer Science · Computer Science 2012-12-18 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Jari Stenman

We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata…

Formal Languages and Automata Theory · Computer Science 2012-10-09 Vojtech Forejt , Petr Jancar , Stefan Kiefer , James Worrell

This paper contains two results on timed extensions of pushdown automata (PDA). As our first result we prove that the model of dense-timed PDA of Abdulla et al. collapses: it is expressively equivalent to dense-timed PDA with timeless…

Formal Languages and Automata Theory · Computer Science 2015-04-20 Lorenzo Clemente , Sławomir Lasota

Visibly pushdown automata are input-driven pushdown automata that recognize some non-regular context-free languages while preserving the nice closure and decidability properties of finite automata. Visibly pushdown automata with multiple…

Logic in Computer Science · Computer Science 2015-07-01 Benedikt Bollig

Input-driven pushdown automata (also known as visibly pushdown automata and as nested word automata) are a subclass of deterministic pushdown automata and a superclass of the parenthesis languages. Nguyen and Ogawa ("Event-clock visibly…

Formal Languages and Automata Theory · Computer Science 2021-03-09 Mizuhito Ogawa , Alexander Okhotin

In Formal Languages and Automata Theory courses, students find understanding nondeterministic finite-state and pushdown automata difficult. In many cases, this means that it is challenging for them to comprehend the operational semantics of…

Formal Languages and Automata Theory · Computer Science 2025-08-06 Marco T. Morazán , David Anthony K. Fields , Andrés M. Garced , Tijana Minić

We study explorability, a measure of nondeterminism in pushdown automata, which generalises history-determinism. An automaton is k-explorable if, while reading the input, it suffices to follow k concurrent runs, built step-by-step based…

Formal Languages and Automata Theory · Computer Science 2025-11-07 Ayaan Bedi , Karoliina Lehtinen

Over the last 25 years, a lot of work has been done on seeking for decidable non-regular extensions of Propositional Dynamic Logic (PDL). Only recently, an expressive extension of PDL, allowing visibly pushdown automata (VPAs) as a…

Logic in Computer Science · Computer Science 2007-07-18 Stefan Göller , Dirk Nowotka

We introduce and study input-driven deterministic and nondeterministic double-head pushdown automata. A double-head pushdown automaton is a slight generalization of an ordinary pushdown automaton working with two input heads that move in…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Markus Holzer , Martin Kutrib , Andreas Malcher , Matthias Wendlandt

The simulation of deterministic pushdown automata defined over a one-letter alphabet by finite state automata is investigated from a descriptional complexity point of view. We show that each unary deterministic pushdown automaton of size s…

Formal Languages and Automata Theory · Computer Science 2009-05-11 Giovanni Pighizzini

The question of the state-size cost for simulation of two-way nondeterministic automata (2NFAs) by two-way deterministic automata (2DFAs) was raised in 1978 and, despite many attempts, it is still open. Subsequently, the problem was…

Formal Languages and Automata Theory · Computer Science 2011-10-07 Viliam Geffert , Bruno Guillon , Giovanni Pighizzini

We study the expressiveness and succinctness of history-deterministic pushdown automata (HD-PDA) over finite words, that is, pushdown automata whose nondeterminism can be resolved based on the run constructed so far, but independently of…

Formal Languages and Automata Theory · Computer Science 2024-08-07 Shibashis Guha , Ismaël Jecker , Karoliina Lehtinen , Martin Zimmermann

In 1978 Sakoda and Sipser raised the question of the cost, in terms of size of representations, of the transformation of two-way and one-way nondeterministic automata into equivalent two-way deterministic automata. Despite all the attempts,…

Formal Languages and Automata Theory · Computer Science 2021-03-11 Bruno Guillon , Giovanni Pighizzini , Luca Prigioniero , Daniel Průša

We study termination time and recurrence time in programs with unbounded recursion, which are either randomized or operate on some statistically quantified inputs. As the underlying formal model for such programs we use probabilistic…

Logic in Computer Science · Computer Science 2012-06-01 Tomas Brazdil , Stefan Kiefer , Antonin Kucera , Ivana Hutarova Varekova

Timed pushdown automata (TPDA) are an expressive formalism combining recursion with a rich logic of timing constraints. We prove that reachability relations of TPDA are expressible in linear arithmetic, a rich logic generalising Presburger…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Lorenzo Clemente , Sławomir Lasota

The Turing machine models an old-fashioned computer, that does not interact with the user or with other computers, and only does batch processing. Therefore, we came up with a Reactive Turing Machine that does not have these shortcomings.…

Logic in Computer Science · Computer Science 2023-06-22 Jos C. M. Baeten , Cesare Carissimo , Bas Luttik
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