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In this paper we introduce a novel notion of probabilistic bisimulation for quantum processes and prove that it is congruent with respect to various process algebra combinators including parallel composition even when both classical and…

Quantum Physics · Physics 2013-11-15 Yuan Feng , Runyao Duan , Mingsheng Ying

A probabilistic approach to the stable matching problem has been identified as an important research area with several important open problems. When considering random matchings, ex-post stability is a fundamental stability concept. A…

Computer Science and Game Theory · Computer Science 2026-02-23 Haris Aziz , Gergely Csáji , Péter Biró

This paper presents efficient algorithms for testing the finite, polynomial, and exponential ambiguity of finite automata with $\epsilon$-transitions. It gives an algorithm for testing the exponential ambiguity of an automaton $A$ in time…

Computational Complexity · Computer Science 2008-02-25 Cyril Allauzen , Mehryar Mohri , Ashish Rastogi

We consider a Bar Charts Packing Problem (BCPP), in which it is necessary to pack bar charts (BCs) in a strip of minimum length. The problem is, on the one hand, a generalization of the Bin Packing Problem (BPP), and, on the other hand, a…

Data Structures and Algorithms · Computer Science 2021-01-05 Adil Erzin , Gregory Melidi , Stepan Nazarenko , Roman Plotnikov

We provide a categorical notion called uncertain bisimilarity, which allows to reason about bisimilarity in combination with a lack of knowledge about the involved systems. Such uncertainty arises naturally in automata learning algorithms,…

Discrete Mathematics · Computer Science 2023-03-28 Jurriaan Rot , Thorsten Wißmann

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

Mapping applications onto heterogeneous platforms is a difficult challenge, even for simple application patterns such as pipeline graphs. The problem is even more complex when processors are subject to failure during the execution of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-03-26 Anne Benoit , Veronika Rehn-Sonigo , Yves Robert

Timed automata (TA) are a well-established formalism for specifying discrete-state/continuous-time behavior of time-critical reactive systems. Concerning the fundamental analysis problem of comparing a candidate implementation against a…

Formal Languages and Automata Theory · Computer Science 2020-09-17 Lars Luthmann , Hendrik Göttmann , Isabelle Bacher , Malte Lochau

We consider the sequential composite binary hypothesis testing problem in which one of the hypotheses is governed by a single distribution while the other is governed by a family of distributions whose parameters belong to a known set…

Information Theory · Computer Science 2022-03-30 Jiachun Pan , Yonglong Li , Vincent Y. F. Tan

Given two tuples of subspaces, can you tell whether the tuples are isomorphic? We develop theory and algorithms to address this fundamental question. We focus on isomorphisms in which the ambient vector space is acted on by either a unitary…

Metric Geometry · Mathematics 2025-12-25 Emily J. King , Dustin G. Mixon , Shayne Waldron

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a…

Logic in Computer Science · Computer Science 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell

We make use of the complex implicit representation in order to provide a deterministic algorithm for checking whether or not two implicit algebraic curves are related by a similarity, a central question in Pattern Recognition and Computer…

Algebraic Geometry · Mathematics 2015-05-25 Juan Gerardo Alcázar , Gema M. Diaz-Toca , Carlos Hermosa

In this paper the computational complexity of the (bi)simulation problem over restricted graph classes is studied. For trees given as pointer structures or terms the (bi)simulation problem is complete for logarithmic space or NC$^1$,…

Logic in Computer Science · Computer Science 2023-06-22 Moses Ganardi , Stefan Göller , Markus Lohrey

Given a finite collection of probability measures defined on subsets of a measurable space, how can we determine if they are compatible, in the sense that they can be realized as conditional distributions of a single probability measure on…

Probability · Mathematics 2025-12-11 Owen D. Biesel , Colin McSwiggen , Ted Theodosopoulos , Michael G. Titelbaum

A \emph{Stick graph} is an intersection graph of axis-aligned segments such that the left end-points of the horizontal segments and the bottom end-points of the vertical segments lie on a `ground line,' a line with slope $-1$. It is an open…

Computational Geometry · Computer Science 2018-08-31 Felice De Luca , Md Iqbal Hossain , Stephen Kobourov , Anna Lubiw , Debajyoti Mondal

We develop a behavioral theory for the untyped call-by-value lambda calculus extended with the delimited-control operators shift and reset. For this calculus, we discuss the possible observable behaviors and we define an applicative…

Programming Languages · Computer Science 2012-01-05 Dariusz Biernacki , Serguei Lenglet

We show how up-to techniques for (bi-)similarity can be used in the setting of weighted systems. The problems we consider are language equivalence, language inclusion and the threshold problem (also known as universality problem) for…

Formal Languages and Automata Theory · Computer Science 2017-01-24 Filippo Bonchi , Barbara König , Sebastian Küpper

This paper introduces BSPA, a parallel algorithm that leverages beam search to address the two-dimensional strip packing problem. The study begins with a comprehensive review of existing approaches and methodologies, followed by a detailed…

Optimization and Control · Mathematics 2025-03-13 Yajie Wen , Defu Zhang

Linearizability and progress properties are key correctness notions for concurrent objects. However, model checking linearizability has suffered from the PSPACE-hardness of the trace inclusion problem. This paper proposes to exploit…

Programming Languages · Computer Science 2016-10-03 Xiaoxiao Yang , Joost-Pieter Katoen , Huimin Lin , Hao Wu

In the field of algorithmic self-assembly, a long-standing unproven conjecture has been that of the NP-hardness of binary pattern tile set synthesis (2-PATS). The $k$-PATS problem is that of designing a tile assembly system with the…

Computational Complexity · Computer Science 2014-04-04 Lila Kari , Steffen Kopecki , Pierre-Étienne Meunier , Matthew J. Patitz , Shinnosuke Seki
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