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This document provides the supplementary material including a comprehensive related work, the complete proofs and extended evaluation results that support the manuscript, "Unified Characterization and Precoding for Non-Stationary Channels",…

Signal Processing · Electrical Eng. & Systems 2022-02-07 Zhibin Zou , Maqsood Careem , Aveek Dutta , Ngwe Thawdar

In the first part of this paper we present a theory of proof nets for full multiplicative linear logic, including the two units. It naturally extends the well-known theory of unit-free multiplicative proof nets. A linking is no longer a set…

Logic in Computer Science · Computer Science 2017-01-11 Francois Lamarche , Lutz Strassburger

We study the correspondence between Bayesian Networks and graphical representation of proofs in linear logic. The goal of this paper is threefold: to develop a proof-theoretical account of Bayesian inference (in the spirit of the…

Logic in Computer Science · Computer Science 2026-02-05 Rémi Di Guardia , Thomas Ehrhard , Jérôme Evrard , Claudia Faggian

We provide a method for the ranking of the reliability of two networks with the same connectance. Our method is based on the Cheeger constant linking the topological property of a network with its spectrum. We first analyze a set of twisted…

Statistical Mechanics · Physics 2014-10-16 Zitao Wang , Kwok Yip Szeto

The article proposes a new technique for proving the undefinability of logical connectives through each other and illustrates the technique with several examples. Some of the obtained results are new proofs of the existing theorems, others…

Artificial Intelligence · Computer Science 2023-07-04 Sophia Knight , Pavel Naumov , Qi Shi , Vigasan Suntharraj

We present the proofs of the conjectures mentioned in the paper published in the proceedings of the 2024 AAAI conference [1], and discovered by the decomposition methods presented in the same paper.

Artificial Intelligence · Computer Science 2023-12-15 Jovial Cheukam-Ngouonou , Ramiz Gindullin , Nicolas Beldiceanu , Rémi Douence , Claude-Guy Quimper

Our objective in this note is to comment briefly on the newly emerging literature on computer-aided proofs in Social Choice Theory. We shall specifically comment on two papers, one by Tang and Lin (2009) and another by Geist and Endriss…

Logic in Computer Science · Computer Science 2014-03-17 Siddharth Chatterjee , Arunava Sen

This article contains the proof of a theorem on orthogonal-Pin duality that was cited without proof in a previous article in this journal.

Mathematical Physics · Physics 2023-07-11 K. Neergård

Recently, the author and Yamamoto invented a new proof of the duality for multiple zeta values. The technique is applicable in other series identities. In this article, we exhibit such proofs for some series identities.

Number Theory · Mathematics 2020-06-23 Shin-ichiro Seki

This technical report contains the proofs to the lemmata and theorems of [PN12] as well as some additional material. As main contributions [PN12] presents an encoding of mixed choice in the context of the pi-calculus and a criterion to…

Logic in Computer Science · Computer Science 2012-01-09 Kirstin Peters , Uwe Nestmann

We correct a gap in the proof of Theorem 2 in Matsushima et al. (2010).

Theoretical Economics · Economics 2023-04-13 Ian Ball , Deniz Kattwinkel

The article is taken out.

Quantum Physics · Physics 2007-05-23 Prashant

In this paper, we take a unified approach for network information theory and prove a coding theorem, which can recover most of the achievability results in network information theory that are based on random coding. The final single-letter…

Information Theory · Computer Science 2015-05-22 Si-Hyeon Lee , Sae-Young Chung

We use an action, of 2l-component string links on l-component string links, defined by the first author and Xiao-Song Lin, to lift the indeterminacy of finite type link invariants. The set of links up to this new indeterminacy is in…

Geometric Topology · Mathematics 2010-02-09 Nathan Habegger , Jean-Baptiste Meilhan

In the paper "New Results on Frame-Proof Codes and Traceability Schemes" by Reihaneh Safavi-Naini and Yejing Wang [IEEE Trans. Inform. Theory, vol. 47, no. 7, pp. 3029-3033, Nov. 2001], there are lower bounds for the maximal number of…

Information Theory · Computer Science 2022-03-16 Jan-Åke Larsson , Jacob Lofvenberg

In this paper, we consider the problem of entanglement verification across the quantum memories of any two nodes of a quantum network. Its solution can be a means for detecting (albeit not preventing) the presence of intruders that have…

Quantum Physics · Physics 2020-04-17 Michele Amoretti , Stefano Carretta

This technical report provides proofs for the claims in the paper "A Full Picture in Conformance Checking: Efficiently Summarizing All Optimal Alignments".

Information Theory · Computer Science 2025-06-13 Philipp Bär , Moe T. Wynn , Sander J. J. Leemans

In this paper, we prove the existence of fundamental relations between information theory and estimation theory for network-coded flows. When the network is represented by a directed graph G=(V, E) and under the assumption of uncorrelated…

Information Theory · Computer Science 2016-11-17 Samah A. M. Ghanem

Network Digital Twins represent a key technology in future networks, expected to provide the capability to perform accurate analysis and predictions about the behaviour of 6G mobile networks. However, despite the availability of several…

Networking and Internet Architecture · Computer Science 2025-10-15 Cristina Emilia Costa , Tatenda Horiro Zhou , Fabrizio Granelli

We show that there is a very simple approach to determine the 2-adic complexity of periodic binary sequences with ideal two-level autocorrelation. This is the first main result by H. Xiong, L. Qu, and C. Li, IEEE Transactions on Information…

Information Theory · Computer Science 2014-06-17 Honggang Hu