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Achieving a quantum computational advantage regime, and thus providing evidence against the extended Church-Turing thesis, remains one of the key challenges of modern science. Boson sampling seems to be a very promising platform in this…

Quantum Physics · Physics 2024-11-22 A. A. Mazanik , A. N. Rubtsov

Eigenspaces of covariance matrices play an important role in statistical machine learning, arising in variety of modern algorithms. Quantitatively, it is convenient to describe the eigenspaces in terms of spectral projectors. This work…

Statistics Theory · Mathematics 2020-02-25 Igor Silin , Jianqing Fan

We present a reinforcement learning (RL) based guidance system for automated theorem proving geared towards Finding Longer Proofs (FLoP). Unlike most learning based approaches, we focus on generalising from very little training data and…

Logic in Computer Science · Computer Science 2021-06-30 Zsolt Zombori , Adrián Csiszárik , Henryk Michalewski , Cezary Kaliszyk , Josef Urban

State-of-the-art inference approaches in probabilistic logic programming typically start by computing the relevant ground program with respect to the queries of interest, and then use this program for probabilistic inference using knowledge…

Artificial Intelligence · Computer Science 2019-11-19 Efthymia Tsamoura , Victor Gutierrez-Basulto , Angelika Kimmig

We consider the problem of automated reasoning about dynamically manipulated data structures. The state-of-the-art methods are limited to the unfold-and-match (U+M) paradigm, where predicates are transformed via (un)folding operations…

Programming Languages · Computer Science 2014-07-24 Duc-Hiep Chu , Joxan Jaffar , Minh-Thai Trinh

Proof by induction plays a critical role in formal verification and mathematics at large. However, its automation remains as one of the long-standing challenges in Computer Science. To address this problem, we developed sem_ind. Given…

Programming Languages · Computer Science 2021-05-11 Yutaka Nagashima

The timed pattern matching problem is formulated by Ulus et al. and has been actively studied since, with its evident application in monitoring real-time systems. The problem takes as input a timed word/signal and a timed pattern (specified…

Formal Languages and Automata Theory · Computer Science 2018-10-22 Masaki Waga , Takumi Akazaki , Ichiro Hasuo

We consider the problem of how to verify the security of probabilistic oblivious algorithms formally and systematically. Unfortunately, prior program logics fail to support a number of complexities that feature in the semantics and…

Programming Languages · Computer Science 2024-07-02 Pengbo Yan , Toby Murray , Olga Ohrimenko , Van-Thuan Pham , Robert Sison

We introduce a theorem proving algorithm that uses practically no domain heuristics for guiding its connection-style proof search. Instead, it runs many Monte-Carlo simulations guided by reinforcement learning from previous proof attempts.…

Artificial Intelligence · Computer Science 2018-05-22 Cezary Kaliszyk , Josef Urban , Henryk Michalewski , Mirek Olšák

Predicate intuitionistic logic is a well established fragment of dependent types. According to the Curry-Howard isomorphism proof construction in the logic corresponds well to synthesis of a program the type of which is a given formula. We…

Logic in Computer Science · Computer Science 2016-08-22 Maciej Zielenkiewicz , Aleksy Schubert

Optical flow estimation is a well-studied topic for automated driving applications. Many outstanding optical flow estimation methods have been proposed, but they become erroneous when tested in challenging scenarios that are commonly…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Shihao Shen , Louis Kerofsky , Senthil Yogamani

Backdoor attack aims to deceive a victim model when facing backdoor instances while maintaining its performance on benign data. Current methods use manual patterns or special perturbations as triggers, while they often overlook the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Ruofei Wang , Renjie Wan , Zongyu Guo , Qing Guo , Rui Huang

This paper expands upon the finite state machine approach for the formal analysis of digital evidence. The proposed method may be used to support the feasibility of a given statement by testing it against a relevant system model. To achieve…

Formal Languages and Automata Theory · Computer Science 2013-02-13 Joshua I. James , Pavel Gladyshev , Mohd Taufik Abdullah , Yuandong Zhu

We introduce MUSE, a watermarking algorithm for tabular generative models. Previous approaches typically leverage DDIM invertibility to watermark tabular diffusion models, but tabular diffusion models exhibit significantly poorer…

Cryptography and Security · Computer Science 2025-06-02 Liancheng Fang , Aiwei Liu , Henry Peng Zou , Yankai Chen , Hengrui Zhang , Zhongfen Deng , Philip S. Yu

We discuss an agent-based approach to proof design and implementation, which we call {\it Lemma Flow Diagram} (LFD). This approach is based on the multicut rule with $shared$ cuts. This approach is modular and easy to use, read and…

Logic in Computer Science · Computer Science 2020-02-10 Keehang Kwon , Daeseong Kang

We introduce Goedel-Prover-V2, a series of open-source language models that set a new state-of-the-art in automated theorem proving. Built on the standard expert iteration and reinforcement learning pipeline, our approach incorporates three…

Floods are among the most destructive natural disasters, which are highly complex to model. The research on the advancement of flood prediction models contributed to risk reduction, policy suggestion, minimization of the loss of human life,…

Machine Learning · Computer Science 2020-08-10 Amir Mosavi , Pinar Ozturk , Kwok-wing Chau

Chain-of-Thought (CoT) prompting has become the de facto method to elicit reasoning capabilities from large language models (LLMs). However, to mitigate hallucinations in CoT that are notoriously difficult to detect, current methods such as…

Computation and Language · Computer Science 2025-06-06 Chengwu Liu , Ye Yuan , Yichun Yin , Yan Xu , Xin Xu , Zaoyu Chen , Yasheng Wang , Lifeng Shang , Qun Liu , Ming Zhang

This paper presents BEval, an extension of Atelier B to improve automation in the verification activities in the B method or Event-B. It combines a tool for managing and verifying software projects (Atelier B) and a model checker/animator…

Software Engineering · Computer Science 2014-01-07 Valério Medeiros , David Déharbe

The theory of modular flow has proved extremely useful for applying thermodynamic reasoning to out-of-equilibrium states in quantum field theory. However, the standard proofs of the fundamental theorems of modular flow use machinery from…

High Energy Physics - Theory · Physics 2024-02-07 Jonathan Sorce