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Related papers: Bisimilarity of Probabilistic Pushdown Automata

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In this paper, we study the problem of model-checking quantum pushdown systems from a computational complexity point of view. We arrive at the following equally important, interesting new results: We first extend the notions of the {\it…

Logic in Computer Science · Computer Science 2026-05-11 Deren Lin , Tianrong Lin

A data tree is a finite tree whose every node carries a label from a finite alphabet and a datum from some infinite domain. We introduce a new model of automata over unranked data trees with a decidable emptiness problem. It is essentially…

Databases · Computer Science 2023-06-22 Diego Figueira , Luc Segoufin

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

There are languages A such that there is a Pushdown Automata (PDA) that recognizes A which is much smaller than any Deterministic Pushdown Automata (DPDA) that recognizes A. There are languages A such that there is a Linear Bounded Automata…

Formal Languages and Automata Theory · Computer Science 2015-07-17 Richard Beigel , William Gasarch

Probabilistic timed automata (PTAs) are timed automata (TAs) extended with discrete probability distributions.They serve as a mathematical model for a wide range of applications that involve both stochastic and timed behaviours. In this…

Formal Languages and Automata Theory · Computer Science 2018-06-14 Hongfei Fu , Yi Li , Jianlin Li , Lijun Zhang

We propose Pushdown Normal Form (PDNF) Bisimulation to verify contextual equivalence in higher-order functional programming languages with local state. Similar to previous work on Normal Form (NF) bisimulation, PDNF Bisimulation is sound…

Programming Languages · Computer Science 2023-11-03 Vasileios Koutavas , Yu-Yang Lin , Nikos Tzevelekos

We study the verification of distributed systems where processes are finite automata with access to a shared pool of locks. We consider objectives that are boolean combinations of local regular constraints. We show that the problem,…

Formal Languages and Automata Theory · Computer Science 2022-10-17 Corto Mascle

In this communication, we resolve a longstanding open question in the probabilistic verification of infinite-state systems. We show that model checking {\it stateless probabilistic pushdown systems (pBPA)} against {\it probabilistic…

Logic in Computer Science · Computer Science 2025-07-02 Deren Lin , Tianrong Lin

We consider the computability and complexity of decision questions for Probabilistic Finite Automata (PFA) with sub-exponential ambiguity. We show that the emptiness problem for strict and non-strict cut-points of polynomially ambiguous…

Formal Languages and Automata Theory · Computer Science 2020-07-30 Paul C. Bell

We study an expressive model of timed pushdown automata extended with modular and fractional clock constraints. We show that the binary reachability relation is effectively expressible in hybrid linear arithmetic with a rational and an…

Formal Languages and Automata Theory · Computer Science 2018-05-01 Lorenzo Clemente , Sławomir Lasota

The main aim of the paper is to give a short self-contained proof of the decidability of language equivalence for deterministic pushdown automata, which is the famous problem solved by G. Senizergues, for which C. Stirling has derived a…

Formal Languages and Automata Theory · Computer Science 2011-03-10 Petr Jancar

In a dynamic parametric process every subprocess may spawn arbitrarily many, identical child processes, that may communicate either over global variables, or over local variables that are shared with their parent. We show that reachability…

Logic in Computer Science · Computer Science 2016-09-20 Anca Muscholl , Helmut Seidl , Igor Walukiewicz

The emptiness and containment problems for probabilistic automata are natural quantitative generalisations of the classical language emptiness and inclusion problems for Boolean automata. It is well known that both problems are undecidable.…

Formal Languages and Automata Theory · Computer Science 2020-03-31 Laure Daviaud , Marcin Jurdziński , Ranko Lazić , Filip Mazowiecki , Guillermo A. Pérez , James Worrell

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

Finite-turn pushdown automata (PDA) are investigated concerning their descriptional complexity. It is known that they accept exactly the class of ultralinear context-free languages. Furthermore, the increase in size when converting…

Formal Languages and Automata Theory · Computer Science 2009-05-08 Andreas Malcher , Giovanni Pighizzini

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

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

Randomized higher-order computation can be seen as being captured by a lambda calculus endowed with a single algebraic operation, namely a construct for binary probabilistic choice. What matters about such computations is the probability of…

Logic in Computer Science · Computer Science 2020-12-24 Ugo Dal Lago , Claudia Faggian , Simona Ronchi Della Rocca

Robust Markov decision processes (RMDPs) extend standard Markov decision processes (MDPs) to account for uncertainty in the transition probabilities. RMDPs have an uncertainty set that defines a set of possible transition functions, each of…

Logic in Computer Science · Computer Science 2026-04-30 Marnix Suilen , Guillermo A. Pérez

We present an algorithm which modifies a deterministic pushdown automaton (DPDA) such that (i) the marked language is preserved, (ii) lifelocks are removed, (iii) deadlocks are removed, (iv) all states and edges are accessible, and (v)…

Formal Languages and Automata Theory · Computer Science 2014-03-24 Sven Schneider , Uwe Nestmann
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