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We present a bounded equivalence verification technique for higher-order programs with local state. This technique combines fully abstract symbolic environmental bisimulations similar to symbolic game semantics, novel up-to techniques, and…

Programming Languages · Computer Science 2021-10-25 Vasileios Koutavas , Yu-Yang Lin , Nikos Tzevelekos

We introduce layered automata, a subclass of alternating parity automata that generalises deterministic automata. Assuming a consistency property, these automata are history deterministic and 0-1 probabilistic. We show that every…

Formal Languages and Automata Theory · Computer Science 2026-01-23 Antonio Casares , Christof Löding , Igor Walukiewicz

We consider parameterized verification of systems executing according to the total store ordering (TSO) semantics. The processes manipulate abstract data types over potentially infinite domains. We present a framework that translates the…

Formal Languages and Automata Theory · Computer Science 2023-02-14 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Florian Furbach , Adwait Godbole , Yacoub G. Hendi , Shankaranarayanan Krishna , Stephan Spengler

A notion of alternating timed automata is proposed. It is shown that such automata with only one clock have decidable emptiness problem over finite words. This gives a new class of timed languages which is closed under boolean operations…

Logic in Computer Science · Computer Science 2007-05-23 Slawomir Lasota , Igor Walukiewicz

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

We note that the remarkable EXPSPACE-hardness result in [G\"oller, Haase, Ouaknine, Worrell, ICALP 2010] ([GHOW10] for short) allows us to answer an open complexity question for simulation preorder of succinct one counter nets (i.e., one…

Logic in Computer Science · Computer Science 2018-01-04 Petr Jancar , Petr Osicka , Zdenek Sawa

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

We introduce the class of Interrupt Timed Automata (ITA), a subclass of hybrid automata well suited to the description of timed multi-task systems with interruptions in a single processor environment. While the reachability problem is…

Formal Languages and Automata Theory · Computer Science 2012-03-30 Béatrice Bérard , Serge Haddad , Mathieu Sassolas

We consider the problem of minimising the number of states in a multiplicity tree automaton over the field of rational numbers. We give a minimisation algorithm that runs in polynomial time assuming unit-cost arithmetic. We also show that a…

Formal Languages and Automata Theory · Computer Science 2019-03-14 Stefan Kiefer , Ines Marusic , James Worrell

Concurrent Kleene Algebra (CKA) is a formalism to study concurrent programs. Like previous Kleene Algebra extensions, developing a correspondence between denotational and operational perspectives is important, for both foundations and…

Formal Languages and Automata Theory · Computer Science 2023-02-03 Tobias Kappé , Paul Brunet , Bas Luttik , Alexandra Silva , Fabio Zanasi

Among the approximation methods for the verification of counter systems, one of them consists in model-checking their flat unfoldings. Unfortunately, the complexity characterization of model-checking problems for such operational models is…

Logic in Computer Science · Computer Science 2013-04-24 Stéphane Demri , Amit Kumar Dhar , Arnaud Sangnier

Automata-logic connections are pillars of the theory of regular languages. Such connections are harder to obtain for transducers, but important results have been obtained recently for word-to-word transformations, showing that the three…

Formal Languages and Automata Theory · Computer Science 2016-06-02 Luc Dartois , Emmanuel Filiot , Pierre-Alain Reynier , Jean-Marc Talbot

We consider the model checking problem for probabilistic pushdown automata (pPDA) and properties expressible in various probabilistic logics. We start with properties that can be formulated as instances of a generalized random walk problem.…

Logic in Computer Science · Computer Science 2017-01-11 Javier Esparza , Antonin Kucera , Richard Mayr

We study the parameterized complexity of scheduling unit-time jobs on parallel, identical machines under generalized precedence constraints for minimization of the makespan and the sum of completion times. In our setting, each job is…

Optimization and Control · Mathematics 2025-11-18 Christina Büsing , Maurice Draeger , Corinna Mathwieser

In recent years, a variety of gradient-based first-order methods have been developed to solve bi-level optimization problems for learning applications. However, theoretical guarantees of these existing approaches heavily rely on the…

Machine Learning · Computer Science 2020-07-03 Risheng Liu , Pan Mu , Xiaoming Yuan , Shangzhi Zeng , Jin Zhang

We show that one-way quantum one-counter automaton with zero-error is more powerful than its probabilistic counterpart on promise problems. Then, we obtain a similar separation result between Las Vegas one-way probabilistic one-counter…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Masaki Nakanishi , Abuzer Yakaryılmaz , Aida Gainutdinova

Establishing equivalences between programs or systems is crucial both for verifying correctness of programs, by establishing that two implementations are equivalent, and for justifying optimisations and program transformations, by…

Logic in Computer Science · Computer Science 2021-10-25 Rabéa Ameur-Boulifa , Ludovic Henrio , Eric Madelaine

We study classic scheduling problems on uniformly related machines. Efficient polynomial time approximation schemes (EPTAS's) are fast and practical approximation schemes. New methods and techniques are essential in developing such improved…

Data Structures and Algorithms · Computer Science 2014-04-04 Leah Epstein , Asaf Levin

We introduce an automata-theoretic method for the verification of distributed algorithms running on ring networks. In a distributed algorithm, an arbitrary number of processes cooperate to achieve a common goal (e.g., elect a leader).…

Logic in Computer Science · Computer Science 2015-04-27 C. Aiswarya , Benedikt Bollig , Paul Gastin

We consider a computational model which is known as set automata. The set automata are one-way finite automata with an additional storage---the set. There are two kinds of set automata---the deterministic and the nondeterministic ones. We…

Formal Languages and Automata Theory · Computer Science 2017-10-30 Alexander A. Rubtsov , Mikhail N. Vyalyi