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This paper addresses the controversy between Mayers, Lo and Chau on one side, and Yuen on the opposite side, on whether there exist or not unconditionally secure protocols. For such purpose, a complete classification of all possible bit…

Quantum Physics · Physics 2007-05-23 Giacomo Mauro D'Ariano

We establish quantum uncloneable encryption with unconditional security, preventing two non-communicating adversaries from simultaneously decrypting a single ciphertext $-$ even when both are given the key. Our construction achieves…

Quantum Physics · Physics 2026-03-11 Archishna Bhattacharyya , Anne Broadbent , Eric Culf

Cryptographic protocols aim at securing communications over insecure networks such as the Internet, where dishonest users may listen to communications and interfere with them. A secure communication has a different meaning depending on the…

Cryptography and Security · Computer Science 2016-11-10 Stéphanie Delaune , Lucca Hirschi

As inductive inference and machine learning methods in computer science see continued success, researchers are aiming to describe ever more complex probabilistic models and inference algorithms. It is natural to ask whether there is a…

Logic · Mathematics 2019-11-19 Nathanael L. Ackerman , Cameron E. Freer , Daniel M. Roy

We present a logical framework that enables us to define a formal theory of computational trust in which this notion is analysed in terms of epistemic attitudes towards the possible objects of trust and in relation to existing evidence in…

Logic in Computer Science · Computer Science 2025-06-19 Francesco A. Genco

Computer algebra systems are really good at factoring polynomials, i.e. writing f as a product of irreducible factors. It is relatively easy to verify that we have a factorisation, but verifying that these factors are irreducible is a much…

Symbolic Computation · Computer Science 2024-09-17 James H. Davenport

Assuming the obvious definitions (see paper) we show the a decidable model that is effectively prime is also effectively atomic. This implies that two effectively prime (decidable) models are computably isomorphic. This is in contrast to…

Logic · Mathematics 2017-01-31 Peter Cholak , Charlie McCoy

Computation plays a major role in decision making. Even if an agent is willing to ascribe a probability to all states and a utility to all outcomes, and maximize expected utility, doing so might present serious computational problems.…

Computer Science and Game Theory · Computer Science 2011-06-15 Joseph Y. Halpern , Rafael Pass

Over time, cryptographically deniable systems have come to be associated in computer-science literature with the idea of "denying" evidence in court - specifically, with the ability to convincingly forge evidence in courtroom scenarios and…

Cryptography and Security · Computer Science 2026-01-27 Jacob Leiken , Sunoo Park

In this paper we study a new approach to classify mathematical theorems according to their computational content. Basically, we are asking the question which theorems can be continuously or computably transferred into each other? For this…

Logic · Mathematics 2011-01-07 Vasco Brattka , Guido Gherardi

In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner of the game. Such games are central in formal methods since they model the interaction between a…

Computer Science and Game Theory · Computer Science 2023-06-22 Milad Aghajohari , Guy Avni , Thomas A. Henzinger

In this paper we consider propositional calculi, which are finitely axiomatizable extensions of intuitionistic implicational propositional calculus together with the rules of modus ponens and substitution. We give a proof of undecidability…

Logic · Mathematics 2015-09-25 Grigoriy V. Bokov

This thesis initiates the study of cryptographic protocols in the bounded-quantum-storage model. On the practical side, simple protocols for Rabin Oblivious Transfer, 1-2 Oblivious Transfer and Bit Commitment are presented. No quantum…

Quantum Physics · Physics 2007-09-04 Christian Schaffner

Crystallization is a key step in macromolecular structure determination by crystallography. While a robust theoretical treatment of the process is available, due to the complexity of the system, the experimental process is still largely one…

Biomolecules · Quantitative Biology 2016-08-02 Irem Altan , Patrick Charbonneau , Edward H. Snell

Trust is an absolute necessity for digital communications; but is often viewed as an implicit singular entity. The use of the internet as the primary vehicle for information exchange has made accountability and verifiability of system code…

Cryptography and Security · Computer Science 2014-03-04 Orhio Mark Creado , Bala Srinivasan , Phu Dung Le , Jefferson Tan

Ciphers are a powerful tool for encrypting communication. There are many different cipher types, which makes it computationally expensive to solve a cipher using brute force. In this paper, we frame the decryption task as a classification…

Computation and Language · Computer Science 2023-06-16 Brendan Artley , Greg Mehdiyev

Quantum coherence plays a fundamental and operational role in different areas of physics. A resource theory has been developed to characterize the coherence of distinguishable particles systems. Here we show that indistinguishability of…

We initiate the effective metric structure theory of Keisler randomizations. We show that a classical countable structure $\mathcal{M}$ has a decidable presentation if and only if its Borel randomization $\mathcal{M}^{[0,1)}$ has a…

Logic · Mathematics 2025-06-09 Nicolás Cuervo Ovalle , Isaac Goldbring

Artificial intelligence has recently experienced remarkable advances, fueled by large models, vast datasets, accelerated hardware, and, last but not least, the transformative power of differentiable programming. This new programming…

Machine Learning · Computer Science 2025-06-25 Mathieu Blondel , Vincent Roulet

Axiomatic approach has demonstrated its power in mathematics. The main goal of this preprint is to show that axiomatic methods are also very efficient for computer science. It is possible to apply these methods to many problems in computer…

Logic · Mathematics 2007-05-23 Mark Burgin
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