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We address the problem of model checking context-free specifications for probabilistic pushdown automata, which has relevant applications in the verification of recursive probabilistic programs. Operator Precedence Languages (OPLs) are an…

Logic in Computer Science · Computer Science 2025-02-06 Francesco Pontiggia , Ezio Bartocci , Michele Chiari

Active automata learning from membership and equivalence queries is a foundational problem with numerous applications. We propose a novel variant of the active automata learning problem: actively learn finite automata using preference…

Machine Learning · Computer Science 2025-07-31 Eric Hsiung , Joydeep Biswas , Swarat Chaudhuri

In a one-counter automaton (OCA), one can produce a letter from some finite alphabet, increment and decrement the counter by one, or compare it with constants up to some threshold. It is well-known that universality and language inclusion…

Formal Languages and Automata Theory · Computer Science 2016-07-20 Benedikt Bollig

We study the question of which visibly pushdown languages (VPLs) are in the complexity class $\mathsf{AC}^0$ and how to effectively decide this question. Our contribution is to introduce a particular subclass of one-turn VPLs, called…

Formal Languages and Automata Theory · Computer Science 2026-05-12 Stefan Göller , Nathan Grosshans

In this paper we introduce and study Event-Clock Nested Automata (ECNA), a formalism that combines Event Clock Automata (ECA) and Visibly Pushdown Automata (VPA). ECNA allow to express real-time properties over non-regular patterns of…

Formal Languages and Automata Theory · Computer Science 2017-11-23 Laura Bozzelli , Aniello Murano , Adriano Peron

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 the description size of the pushdown system. As a…

Formal Languages and Automata Theory · Computer Science 2020-05-14 Stefan Göller , Paweł Parys

We present POPACheck, the first model checking tool for probabilistic Pushdown Automata (pPDA) supporting temporal logic specifications. POPACheck provides a user-friendly probabilistic modeling language with recursion that automatically…

Logic in Computer Science · Computer Science 2025-06-05 Francesco Pontiggia , Ezio Bartocci , Michele Chiari

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 show how to compute downward closures of languages of finite…

Formal Languages and Automata Theory · Computer Science 2024-02-14 David Barozzini , Lorenzo Clemente , Thomas Colcombet , Paweł Parys

Timed pushdown automata are pushdown automata extended with a finite set of real-valued clocks. Additionaly, each symbol in the stack is equipped with a value representing its age. The enabledness of a transition may depend on the values of…

Formal Languages and Automata Theory · Computer Science 2014-02-28 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Jari Stenman

Probabilistic pushdown automata (pPDA) are a standard operational model for programming languages involving discrete random choices and recursive procedures. Temporal properties are useful for specifying the chronological order of events…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Tobias Winkler , Christina Gehnen , Joost-Pieter Katoen

There are many types of automata and grammar models that have been studied in the literature, and for these models, it is common to determine whether certain problems are decidable. One problem that has been difficult to answer throughout…

Formal Languages and Automata Theory · Computer Science 2024-05-20 Oscar H. Ibarra , Ian McQuillan

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

Probabilistic pushdown automata (pPDA) are a standard model for discrete probabilistic programs with procedures and recursion. In pPDA, many quantitative properties are characterized as least fixpoints of polynomial equation systems. In…

Formal Languages and Automata Theory · Computer Science 2023-02-28 Tobias Winkler , Joost-Pieter Katoen

We consider the problem of symbolic reachability analysis of higher-order context-free processes. These models are generalizations of the context-free processes (also called BPA processes) where each process manipulates a data structure…

Logic in Computer Science · Computer Science 2007-05-29 Ahmed Bouajjani , Antoine Meyer

We first propose algorithms for checking language equivalence of finite automata over a large alphabet. We use symbolic automata, where the transition function is compactly represented using a (multi-terminal) binary decision diagrams…

Formal Languages and Automata Theory · Computer Science 2014-07-14 Damien Pous

We introduce the notion of adaptive synchronisation for pushdown automata, in which there is an external observer who has no knowledge about the current state of the pushdown automaton, but can observe the contents of the stack. The…

Formal Languages and Automata Theory · Computer Science 2021-02-16 A. R. Balasubramanian , K. S. Thejaswini

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

We present an efficient algorithm to reduce the size of nondeterministic Buchi word automata, while retaining their language. Additionally, we describe methods to solve PSPACE-complete automata problems like universality, equivalence and…

Formal Languages and Automata Theory · Computer Science 2012-10-25 Lorenzo Clemente , Richard Mayr

We characterize the complexity of liveness verification for parameterized systems consisting of a leader process and arbitrarily many anonymous and identical contributor processes. Processes communicate through a shared, bounded-value…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-26 Antoine Durand-Gasselin , Javier Esparza , Pierre Ganty , Rupak Majumdar

The problem of checking whether two programs are semantically equivalent or not has a diverse range of applications, and is consequently of substantial importance. There are several techniques that address this problem, chiefly by…

Software Engineering · Computer Science 2021-09-07 Manish Goyal , Muqsit Azeem , Kumar Madhukar , R. Venkatesh