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We continue the study of doubly-efficient proof systems for verifying agnostic PAC learning, for which we obtain the following results. - We construct an interactive protocol for learning the $t$ largest Fourier characters of a given…

Computational Complexity · Computer Science 2024-04-15 Tom Gur , Mohammad Mahdi Jahanara , Mohammad Mahdi Khodabandeh , Ninad Rajgopal , Bahar Salamatian , Igor Shinkar

This is the full version of a paper submitted to the Computability in Europe (CiE 2023) conference, with all proofs omitted there. In 2012 P. D. Azar and S. Micali introduced a new model of interactive proofs, called "Rational Interactive…

Computational Complexity · Computer Science 2023-05-09 Daniil Musatov , Georgii Potapov

We propose to analyse quantum protocols by applying formal verification techniques developed in classical computing for the analysis of communicating concurrent systems. One area of successful application of these techniques is that of…

Quantum Physics · Physics 2007-05-23 Rajagopal Nagarajan , Simon Gay

TrueBit is a protocol that uses interactive verification to allow a resource-constrained computation environment like a blockchain to perform much larger computations than usual in a trusted way. As long as a single honest participant is…

Cryptography and Security · Computer Science 2018-07-02 Julia Koch , Christian Reitwiessner

Industrial control systems (ICSs) increasingly rely on digital technologies vulnerable to cyber attacks. Cyber attackers can infiltrate ICSs and execute malicious actions. Individually, each action seems innocuous. But taken together, they…

Cryptography and Security · Computer Science 2024-12-20 Arthur Amorim , Trevor Kann , Max Taylor , Lance Joneckis

Large language model (LLM)-based coding assistants have made substantial progress, yet most systems remain reactive, requiring developers to explicitly formulate their needs. Proactive coding assistants aim to infer latent developer intent…

Software Engineering · Computer Science 2026-05-08 Lehui Li , Ruixuan Jia , Guo-Ye Yang , Jia Li

Interactive verification protocols for quantum computations allow to build trust between a client and a service provider, ensuring the former that the instructed computation was carried out faithfully. They come in two variants, one without…

Quantum Physics · Physics 2026-04-01 Amit Saha , Harold Ollivier

Informal arguments that cryptographic protocols are secure can be made rigorous using inductive definitions. The approach is based on ordinary predicate calculus and copes with infinite-state systems. Proofs are generated using…

Cryptography and Security · Computer Science 2021-05-14 Lawrence C. Paulson

Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a theorem prover or proof assistant in a convenient and highly…

Mathematical Software · Computer Science 2007-08-29 Marc Daumas , David Lester , César Muñoz

Distributed protocols are generally parametric and can be executed on a system with any number of nodes, and hence proving their correctness becomes an infinite state verification problem. The most popular approach for verifying distributed…

Programming Languages · Computer Science 2022-11-29 Shreesha G. Bhat , Kartik Nagar

This paper proves that the computational power of quantum interactive proof systems, with a double-exponentially small gap in acceptance probability between the completeness and soundness cases, is precisely characterized by EXP, the class…

Quantum Physics · Physics 2011-09-07 Tsuyoshi Ito , Hirotada Kobayashi , John Watrous

We propose a conceptual integration of deductive program verification into existing user interfaces for software debugging. This integration is well-represented in the "Debug Adapter Protocol", a widely-used and generic technology to…

Logic in Computer Science · Computer Science 2021-08-09 Gidon Ernst , Johannes Blau , Toby Murray

In this paper we consider what can be computed by a user interacting with a potentially malicious server, when the server performs polynomial-time quantum computation but the user can only perform polynomial-time classical (i.e.,…

Quantum Physics · Physics 2021-10-05 François Le Gall , Tomoyuki Morimae , Harumichi Nishimura , Yuki Takeuchi

We consider repeated communication sessions between a RFID Tag (e.g., Radio Frequency Identification, RFID Tag) and a RFID Verifier. A proactive information theoretic security scheme is proposed. The scheme is based on the assumption that…

Cryptography and Security · Computer Science 2009-03-31 Shlomi Dolev , Marina Kopeetsky , Adi Shamir

Our interest is in the design of software systems involving a human-expert interacting -- using natural language -- with a large language model (LLM) on data analysis tasks. For complex problems, it is possible that LLMs can harness human…

Artificial Intelligence · Computer Science 2025-10-10 Harshvardhan Mestha , Karan Bania , Shreyas V Sathyanarayana , Sidong Liu , Ashwin Srinivasan

In interactive coding, Alice and Bob wish to compute some function $f$ of their individual private inputs $x$ and $y$. They do this by engaging in an interactive protocol to jointly compute $f(x,y)$. The goal is to do this in an…

Data Structures and Algorithms · Computer Science 2023-09-12 Meghal Gupta , Rachel Yun Zhang

We construct a classically verifiable succinct interactive argument for quantum computation (BQP) with communication complexity and verifier runtime that are poly-logarithmic in the runtime of the BQP computation (and polynomial in the…

PIDE is a general framework for document-oriented prover interaction and integration, based on a bilingual architecture that combines ML and Scala. The overall aim is to connect LCF-style provers like Isabelle (or Coq or HOL) with…

Logic in Computer Science · Computer Science 2012-07-17 Makarius Wenzel

The Web Bulletin Board (WBB) is a key component of verifiable election systems. It is used in the context of election verification to publish evidence of voting and tallying that voters and officials can check, and where challenges can be…

Cryptography and Security · Computer Science 2014-01-17 Chris Culnane , Steve Schneider

We revisit the framework of interactive proofs for distribution testing, first introduced by Chiesa and Gur (ITCS 2018), which has recently experienced a surge in interest, accompanied by notable progress (e.g., Herman and Rothblum, STOC…

Computational Complexity · Computer Science 2025-12-01 Ari Biswas , Mark Bun , Clément Canonne , Satchit Sivakumar
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