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Let PCP(k) denote the Post Correspondence Problem for k input pairs of strings. Let ACCESSIBILITY(k) denote the the word problem for k-rule semi-Thue systems. In 1980, Claus showed that if ACCESSIBILITY(k) is undecidable then PCP(k + 4) is…

Discrete Mathematics · Computer Science 2008-11-12 Francois Nicolas

In this paper we prove lower bounds on randomized multiparty communication complexity, both in the \emph{blackboard model} (where each message is written on a blackboard for all players to see) and (mainly) in the \emph{message-passing…

Computational Complexity · Computer Science 2015-02-10 Jeff M. Phillips , Elad Verbin , Qin Zhang

The discrete logarithm problem (DLP) generalizes to the constrained DLP, where the secret exponent $x$ belongs to a set known to the attacker. The complexity of generic algorithms for solving the constrained DLP depends on the choice of the…

Number Theory · Mathematics 2018-12-12 Ilya Mironov , Anton Mityagin , Kobbi Nissim

Dynamic Epistemic Logic (DEL) is a logic that models information change in a multi-agent setting through the use of action models with pre- and post-conditions. In a recent work, DEL has been extended to first-order epistemic logic (DFOEL),…

Logic in Computer Science · Computer Science 2022-05-03 Côme Neyrand , Sophie Pinchinat

We study a model of communication complexity that encompasses many well-studied problems, including classical and quantum communication complexity, the complexity of simulating distributions arising from bipartite measurements of shared…

Quantum Physics · Physics 2011-07-08 Julien Degorre , Marc Kaplan , Sophie Laplante , Jérémie Roland

In this work, we formulate and study a data dissemination problem, which can be viewed as a generalization of the index coding problem and of the data exchange problem to networks with an arbitrary topology. We define $r$-solvable networks,…

Information Theory · Computer Science 2015-10-12 Ivo Kubjas , Vitaly Skachek

We study two basic graph parameters, the chromatic number and the orthogonal rank, in the context of classical and quantum exact communication complexity. In particular, we consider two types of communication problems that we call promise…

Quantum Physics · Physics 2018-12-24 Jop Briët , Harry Buhrman , Debbie Leung , Teresa Piovesan , Florian Speelman

Epistemic logic programs (ELPs) are a popular generalization of standard Answer Set Programming (ASP) providing means for reasoning over answer sets within the language. This richer formalism comes at the price of higher computational…

Computational Complexity · Computer Science 2020-01-14 Markus Hecher , Michael Morak , Stefan Woltran

We introduce the \emph{graphical reconfigurable circuits (GRC)} model as an abstraction for distributed graph algorithms whose communication scheme is based on local mechanisms that collectively construct long-range reconfigurable channels…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Yuval Emek , Yuval Gil , Noga Harlev

We show several results related to interactive proof modes of communication complexity. First we show lower bounds for the QMA-communication complexity of the functions Inner Product and Disjointness. We describe a general method to prove…

Computational Complexity · Computer Science 2011-01-04 Hartmut Klauck

Communication constraints can significantly impact robots' ability to share information, coordinate their movements, and synchronize their actions, thus limiting coordination in Multi-Robot Exploration (MRE) applications. In this work, we…

Robotics · Computer Science 2024-07-24 Alysson Ribeiro da Silva , Luiz Chaimowicz , Thales Costa Silva , Ani Hsieh

We describe a probabilistic framework for synthesizing control policies for general multi-robot systems, given environment and sensor models and a cost function. Decentralized, partially observable Markov decision processes (Dec-POMDPs) are…

Every distributed system -- databases, networks, postal services, CPU caches -- is a message-passing system. Every message-passing system is a growing causal log observed by a set of observers. We present Light Cone Consistency (LCC), a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Rob Landers , Kaben Kramer

In this paper, we propose a lightweight yet powerful dynamic epistemic logic that captures not only the distinction between de dicto and de re knowledge but also the distinction between de dicto and de re updates. The logic is based on the…

Artificial Intelligence · Computer Science 2021-06-23 Michael Cohen , Wen Tang , Yanjing Wang

A shallow semantical embedding for public announcement logic with relativized common knowledge is presented. This embedding enables the first-time automation of this logic with off-the-shelf theorem provers for classical higher-order logic.…

Artificial Intelligence · Computer Science 2020-10-05 Sebastian Reiche , Christoph Benzmüller

Based on an EPR pair of qubits and allowing asymptotically secure key distribution, a secure communication protocol is presented. Bob sends either of the EPR pair qubits to Alice. Alice receives the travel qubit. Then she can encode…

Quantum Physics · Physics 2007-05-23 Qing-yu Cai

A challenge in reinforcement learning (RL) is minimizing the cost of sampling associated with exploration. Distributed exploration reduces sampling complexity in multi-agent RL (MARL). We investigate the benefits to performance in MARL when…

Machine Learning · Computer Science 2022-05-03 Justin Lidard , Udari Madhushani , Naomi Ehrich Leonard

A frequent problem in settings where a unique resource must be shared among users is how to resolve the contention that arises when all of them must use it, but the resource allows only for one user each time. The application of efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-04 Antonio Fernández Anta , Miguel A. Mosteiro , Jorge Ramón Muñoz

Key-agreement protocols whose security is proven in the random oracle model are an important alternative to protocols based on public-key cryptography. In the random oracle model, the parties and the eavesdropper have access to a shared…

Cryptography and Security · Computer Science 2021-05-07 Iftach Haitner , Noam Mazor , Rotem Oshman , Omer Reingold , Amir Yehudayoff

Answer Set Programming (ASP) is a prominent problem-modeling and solving framework, whose solutions are called answer sets. Epistemic logic programs (ELP) extend ASP to reason about all or some answer sets. Solutions to an ELP can be seen…

Logic in Computer Science · Computer Science 2025-03-10 Thomas Eiter , Johannes K. Fichte , Markus Hecher , Stefan Woltran