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Theorem provers are important tools for people working in formal verification. There are a myriad of interactive systems available today, with varying features and approaches motivating their development. These design choices impact their…

Logic in Computer Science · Computer Science 2025-09-19 Harrison Oates , Hyeonggeun Yun , Nikhila Gurusinghe

The software of robotic assistants needs to be verified, to ensure its safety and functional correctness. Testing in simulation allows a high degree of realism in the verification. However, generating tests that cover both interesting…

Robotics · Computer Science 2016-03-03 Dejanira Araiza-Illan , Tony Pipe , Kerstin Eder

Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal claim, which may…

Programming Languages · Computer Science 2022-05-17 Colin S. Gordon , Sergey Matskevich

We propose a methodology for verifying security properties of network protocols at design level. It can be separated in two main parts: context and requirements analysis and informal verification; and formal representation and procedural…

Cryptography and Security · Computer Science 2013-10-29 Jesus Diaz , David Arroyo , Francisco B. Rodriguez

Although interactive learning puts the user into the loop, the learner remains mostly a black box for the user. Understanding the reasons behind queries and predictions is important when assessing how the learner works and, in turn, trust.…

Machine Learning · Statistics 2018-05-23 Stefano Teso , Kristian Kersting

We introduce Prove-It, a Python-based general-purpose interactive theorem-proving assistant designed with the goal of making formal theorem proving as easy and natural as informal theorem proving (with moderate training). Prove-It uses a…

Logic in Computer Science · Computer Science 2020-12-29 Wayne M. Witzel , Warren D. Craft , Robert D. Carr , Joaquín E. Madrid Larrañaga

Verification of neural networks is currently a hot topic in automated theorem proving. Progress has been rapid and there are now a wide range of tools available that can verify properties of networks with hundreds of thousands of nodes. In…

Machine Learning · Computer Science 2022-02-11 Matthew L. Daggitt , Wen Kokke , Robert Atkey , Luca Arnaboldi , Ekaterina Komendantskya

Internet browsers use security protocols to protect sensitive messages. An inductive analysis of TLS (a descendant of SSL 3.0) has been performed using the theorem prover Isabelle. Proofs are based on higher-order logic and make no…

Cryptography and Security · Computer Science 2019-07-18 Lawrence C. Paulson

We propose an efficient quantum protocol performing quantum bit commitment, which is a simple cryptographic primitive involved with two parties, called a committer and a verifier. Our protocol is non-interactive, uses no supplemental shared…

Quantum Physics · Physics 2013-09-03 Tomoyuki Yamakami

Current formal approaches have been successfully used to find design flaws in many security protocols. However, it is still challenging to automatically analyze protocols due to their large or infinite state spaces. In this paper, we…

Cryptography and Security · Computer Science 2019-08-27 Yan Xiong , Cheng Su , Wenchao Huang , Fuyou Miao , Wansen Wang , Hengyi Ouyang

In distributed interactive proofs, the nodes of a graph G interact with a powerful but untrustable prover who tries to convince them, in a small number of rounds and through short messages, that G satisfies some property. This series of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-22 Pedro Montealegre , Diego Ramírez-Romero , Ivan Rapaport

Intermediate-scale quantum devices are becoming more reliable, and may soon be harnessed to solve useful computational tasks. At the same time, common classical methods used to verify their computational output become intractable due to a…

Quantum Physics · Physics 2023-07-03 Johannes Knörzer , Daniel Malz , J. Ignacio Cirac

OnlineProver is an interactive proof assistant tailored for the educational setting. Its main features include a user-friendly interface for editing and checking proofs. The user interface provides feedback directly within the derivation,…

Streaming interactive proofs (SIPs) are a framework for outsourced computation. A computationally limited streaming client (the verifier) hands over a large data set to an untrusted server (the prover) in the cloud and the two parties run a…

Data Structures and Algorithms · Computer Science 2016-10-05 Amirali Abdullah , Samira Daruki , Chitradeep Dutta Roy , Suresh Venkatasubramanian

Network administration is an inherently complex task, in particular with regard to security. Using the Isabelle interactive proof assistant, we develop two automated, formally verified tools which help uncovering and preventing bugs in…

Networking and Internet Architecture · Computer Science 2017-08-29 Cornelius Diekmann

Multi Prover Interactive Proof systems (MIPs)were first presented in a cryptographic context, but ever since they were used in various fields. Understanding the power of MIPs in the quantum context raises many open problems, as there are…

Quantum Physics · Physics 2008-06-26 Michael Ben-Or , Avinatan Hassidim , Haran Pilpel

In this note, we observe that quantum logspace computations are verifiable by classical logspace algorithms, with unconditional security. More precisely, every language in BQL has an (information-theoretically secure) streaming proof with a…

Quantum Physics · Physics 2023-07-21 Uma Girish , Ran Raz , Wei Zhan

Formally verifying the correctness of mathematical proofs is more accessible than ever, however, the learning curve remains steep for many of the state-of-the-art interactive theorem provers (ITP). Deriving the most appropriate subsequent…

Logic in Computer Science · Computer Science 2024-11-05 Liao Zhang , David M. Cerna , Cezary Kaliszyk

Bootstrap particle filter (BPF) is the corner stone of many popular algorithms used for solving inference problems involving time series that are observed through noisy measurements in a non-linear and non-Gaussian context. The long term…

Computation · Statistics 2018-12-05 Kari Heine , Nick Whiteley , A. Taylan Cemgil

Rational verification refers to the problem of checking which temporal logic properties hold of a concurrent multiagent system, under the assumption that agents in the system choose strategies that form a game-theoretic equilibrium.…

Logic in Computer Science · Computer Science 2022-07-19 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge
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