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20122026
most citedUniversal trees grow inside separating automata: Quasi-polynomial lower bounds for parity games

19 citations · 44 across the 18 of their papers we have counts for

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cs.FL2026

Weak Bisimulation Finiteness of Pushdown Systems With Deterministic -Transitions Is 2-ExpTime-Complete

Stefan Göller, Paweł Parys

We consider the problem of deciding whether a given pushdown system all of whose -transitions are deterministic is weakly bisimulation finite, that is, whether it is w…

cs.FL2020

Higher-Order Nonemptiness Step by Step

Paweł Parys

We show a new simple algorithm that checks whether a given higher-order grammar generates a nonempty language of trees. The algorithm amounts to a procedure that transforms a gramm…

cs.FL2020

On the Expressive Power of Higher-Order Pushdown Systems

Paweł Parys

We show that deterministic collapsible pushdown automata of second order can recognize a language that is not recognizable by any deterministic higher-order pushdown automaton (wit…

cs.FL2020

Bisimulation Finiteness of Pushdown Systems Is Elementary

Stefan Göller, Paweł Parys

We show that in case a pushdown system is bisimulation equivalent to a finite system, there is already a bisimulation equivalent finite system whose size is elementarily bounded in…

cs.FL2020★ 1 cited

Cost Automata, Safe Schemes, and Downward Closures

David Barozzini, Lorenzo Clemente, Thomas Colcombet +1

In this work we prove decidability of the model-checking problem for safe recursion schemes against properties defined by alternating B-automata. We then exploit this result to sho…

cs.FL2019

Parity Games: Another View on Lehtinen's Algorithm

Paweł Parys

Recently, five quasi-polynomial-time algorithms solving parity games were proposed. We elaborate on one of the algorithms, by Lehtinen (2018). Czerwiński et al. (2019) observe that…

cs.FL2019★ 1 cited

Parity Games: Zielonka's Algorithm in Quasi-Polynomial Time

Paweł Parys

Calude, Jain, Khoussainov, Li, and Stephan (2017) proposed a quasi-polynomial-time algorithm solving parity games. After this breakthrough result, a few other quasi-polynomial-time…

cs.FL2018★ 19 cited

Universal trees grow inside separating automata: Quasi-polynomial lower bounds for parity games

Wojciech Czerwiński, Laure Daviaud, Nathanaël Fijalkow +3

Several distinct techniques have been proposed to design quasi-polynomial algorithms for solving parity games since the breakthrough result of Calude, Jain, Khoussainov, Li, and St…

cs.FL2016★ 1 cited

The Diagonal Problem for Higher-Order Recursion Schemes is Decidable

Lorenzo Clemente, Paweł Parys, Sylvain Salvati +1

A non-deterministic recursion scheme recognizes a language of finite trees. This very expressive model can simulate, among others, higher-order pushdown automata with collapse. We…

cs.FL2015

Ordered Tree-Pushdown Systems

Lorenzo Clemente, Paweł Parys, Sylvain Salvati +1

We define a new class of pushdown systems where the pushdown is a tree instead of a word. We allow a limited form of lookahead on the pushdown conforming to a certain ordering rest…

cs.FL2012★ 4 cited

Higher-Order Pushdown Systems with Data

Paweł Parys

We propose a new extension of higher-order pushdown automata, which allows to use an infinite alphabet. The new automata recognize languages of data words (instead of normal words)…

cs.FL2012★ 1 cited

Strictness of the Collapsible Pushdown Hierarchy

Alexander Kartzow, Paweł Parys

We present a pumping lemma for each level of the collapsible pushdown graph hierarchy in analogy to the second author's pumping lemma for higher-order pushdown graphs (without coll…