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A new approach to the problem of error correction in communication channels is proposed, in which the input sequence is transformed in such a way that the interdependence of symbols is significantly increased. Then, after the sequence is…

Information Theory · Computer Science 2026-01-13 Boris Ryabko

Determining whether a given program terminates is the quintessential undecidable problem. Algorithms for termination analysis are divided into two groups: (1) algorithms with strong behavioral guarantees that work in limited circumstances…

Programming Languages · Computer Science 2021-09-16 Shaowei Zhu , Zachary Kincaid

The sequence reconstruction problem involves a model where a sequence is transmitted over several identical channels. This model investigates the minimum number of channels required for the unique reconstruction of the transmitted sequence.…

Information Theory · Computer Science 2025-04-30 Zhaojun Lan , Yubo Sun , Wenjun Yu , Gennian Ge

We present cTI, the first system for universal left-termination inference of logic programs. Termination inference generalizes termination analysis and checking. Traditionally, a termination analyzer tries to prove that a given class of…

Programming Languages · Computer Science 2007-05-23 Fred Mesnard , Roberto Bagnara

In a multiple access channel, autonomous stations are able to transmit and listen to a shared device. A fundamental problem, called \textit{contention resolution}, is to allow any station to successfully deliver its message by resolving the…

Information Theory · Computer Science 2022-10-04 Gianluca De Marco , Dariusz R. Kowalski , Grzegorz Stachowiak

Khanna and Sudan \cite{KS11} studied a natural model of continuous time channels where signals are corrupted by the effects of both noise and delay, and showed that, surprisingly, in some cases both are not enough to prevent such channels…

Information Theory · Computer Science 2012-05-15 Ioana Ivan , Michael Mitzenmacher , Justin Thaler , Henry Yuen

The truly chaotic finite machines introduced by authors in previous research papers are presented here. A state of the art in this discipline, encompassing all previous mathematical investigations, is provided, explaining how finite state…

Cryptography and Security · Computer Science 2017-08-17 Christophe Guyeux , Qianxue Wang , Xiole Fang , Jacques Bahi

There are many techniques and tools for termination of C programs, but up to now they were not very powerful for termination proofs of programs whose termination depends on recursive data structures like lists. We present the first approach…

Logic in Computer Science · Computer Science 2023-07-21 Jera Hensel , Jürgen Giesl

Channel turbulence is a formidable obstacle for free-space optical (FSO) communication. Anticipation of turbulence levels is highly important for mitigating disruptions but has not been demonstrated without dedicated, auxiliary hardware. We…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Md Zobaer Islam , Ethan Abele , Fahim Ferdous Hossain , Arsalan Ahmad , Sabit Ekin , John F. O'Hara

Many programs allow the user to input data several times during its execution. If the program runs forever the user may input data infinitely often. A program terminates if it terminates no matter what the user does. We discuss various ways…

Combinatorics · Mathematics 2014-11-04 William Gasarch

We show that reachability, repeated reachability, nontermination and unboundedness are NP-complete for Lossy Channel Machines that are flat, i.e., with no nested cycles in the control graph. The upper complexity bound relies on a fine…

Logic in Computer Science · Computer Science 2020-07-13 Philippe Schnoebelen

In this paper, we consider the problem of quantifying systemic redundancy in reliable systems having multiple controllers with overlapping functionality. In particular, we consider a multi-channel system with multi-controller configurations…

Dynamical Systems · Mathematics 2015-02-17 Getachew K. Befekadu , Panos J. Antsaklis

Bernard Lang defines parsing as the calculation of the intersection of a FSA (the input) and a CFG. Viewing the input for parsing as a FSA rather than as a string combines well with some approaches in speech understanding systems, in which…

cmp-lg · Computer Science 2008-02-03 Gertjan van Noord

This paper is motivated by the problem of integrating multiple sources of measurements. We consider two multiple-input-multiple-output (MIMO) channels, a primary channel and a secondary channel, with dependent input signals. The primary…

Information Theory · Computer Science 2013-06-25 Yuan Wang , Haonan Wang , Louis Scharf

We study implementations of basic fault-tolerant primitives, such as consensus and registers, in message-passing systems subject to process crashes and a broad range of communication failures. Our results characterize the necessary and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-29 Alejandro Naser-Pastoriza , Gregory Chockler , Alexey Gotsman

We address the problem of correcting a single error in an arbitrary discrete memoryless channel with error-free instantaneous feedback. For the case of a one-time feedback, we propose a method for constructing optimal transmission…

Information Theory · Computer Science 2023-01-06 Ilya Vorobyev , Alexey Lebedev , Vladimir Lebedev , Christian Deppe

We introduce an approach for understanding control policies represented as recurrent neural networks. Recent work has approached this problem by transforming such recurrent policy networks into finite-state machines (FSM) and then analyzing…

Machine Learning · Computer Science 2021-07-13 Mohamad H. Danesh , Anurag Koul , Alan Fern , Saeed Khorram

An inner bound to the capacity region of a class of deterministic interference channels with three user pairs is presented. The key idea is to simultaneously decode the combined interference signal and the intended message at each receiver.…

Information Theory · Computer Science 2015-03-13 Bernd Bandemer , Abbas El Gamal

When transmitting information over a noisy channel, two approaches, dating back to Shannon's work, are common: assuming the channel errors are independent of the transmitted content and devising an error-correcting code, or assuming the…

Information Theory · Computer Science 2015-01-22 Ohad Elishco , Tom Meyerovitch , Moshe Schwartz

This paper proposes a fully distributed termination method for distributed optimization algorithms solved by multiple agents. The proposed method guarantees terminating a distributed optimization algorithm after satisfying the global…

Optimization and Control · Mathematics 2024-01-31 Mohannad Alkhraijah , Daniel K. Molzahn