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We study lossy compression of a finite statement source generated in a fixed deductive environment. The source symbols are statements in a knowledge base endowed with a shared proof system, and reconstruction fidelity is measured by…

信息论 · 计算机科学 2026-05-29 Jianfeng Xu

A graph class $\mathscr{C}$ is called monadically stable if one cannot interpret, in first-order logic, arbitrary large linear orders in colored graphs from $\mathscr{C}$. We prove that the model checking problem for first-order logic is…

计算机科学中的逻辑 · 计算机科学 2023-12-01 Jan Dreier , Ioannis Eleftheriadis , Nikolas Mählmann , Rose McCarty , Michał Pilipczuk , Szymon Toruńczyk

The satisfiability problem for First-order Modal Logic (\FOML) is undecidable even for simple fragments like having only unary predicates, two variables etc. Recently a new way to identify decidable fragments of \FOML has been introduced…

计算机科学中的逻辑 · 计算机科学 2025-06-03 Varad Joshi , Anantha Padmanabha

It is known that first-order logic with some counting extensions can be efficiently evaluated on graph classes with bounded expansion, where depth-$r$ minors have constant density. More precisely, the formulas are $\exists x_1 ... x_k \#y…

计算机科学中的逻辑 · 计算机科学 2023-07-06 Jan Dreier , Daniel Mock , Peter Rossmanith

We propose a security verification framework for cryptographic protocols using machine learning. In recent years, as cryptographic protocols have become more complex, research on automatic verification techniques has been focused on. The…

密码学与安全 · 计算机科学 2023-04-27 Kentaro Ohno , Misato Nakabayashi

We report the first hybrid matter-photon implementation of verifiable blind quantum computing. We use a trapped-ion quantum server and a client-side photonic detection system networked via a fibre-optic quantum link. The availability of…

In this paper, we investigate the secure coding issue for a wiretap channel model with fixed main channel and varying wiretap channel, by assuming that legitimate parties can obtain the wiretapping channel state information (CSI) after some…

信息论 · 计算机科学 2020-01-22 Yizhi Zhao , Hongmei Chi

We study the finite satisfiability problem for the two-variable fragment of first-order logic extended with counting quantifiers (C2) and interpreted over linearly ordered structures. We show that the problem is undecidable in the case of…

计算机科学中的逻辑 · 计算机科学 2019-03-14 Witold Charatonik , Piotr Witkowski

We investigate the problem whether two ALC ontologies are indistinguishable (or inseparable) by means of queries in a given signature, which is fundamental for ontology engineering tasks such as ontology versioning, modularisation, update,…

人工智能 · 计算机科学 2019-02-04 Elena Botoeva , Carsten Lutz , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

HyperLTL, the extension of Linear Temporal Logic by trace quantifiers, is a uniform framework for expressing information flow policies by relating multiple traces of a security-critical system. HyperLTL has been successfully applied to…

计算机科学中的逻辑 · 计算机科学 2019-12-17 Corto Mascle , Martin Zimmermann

Deductive verification of concurrent programs under weak memory has thus far been limited to simple programs over a monolithic state space. For scalabiility, we also require modular techniques with verifiable library abstractions. This…

编程语言 · 计算机科学 2020-12-29 Sadegh Dalvandi , Brijesh Dongol

Choiceless Polynomial Time (CPT) is currently the only candidate logic for capturing PTIME (that is, it is contained in PTIME and has not been separated from it). A prominent example of a decision problem in PTIME that is not known to be…

计算机科学中的逻辑 · 计算机科学 2023-02-09 Benedikt Pago

Given a graph $G$, let $vc(G)$ and $vc^+(G)$ be the sizes of a minimum and a maximum minimal vertex covers of $G$, respectively. We say that $G$ is well covered if $vc(G)=vc^+(G)$ (that is, all minimal vertex covers have the same size).…

数据结构与算法 · 计算机科学 2023-06-22 Rafael Araujo , Eurinardo Costa , Sulamita Klein , Rudini Sampaio , Ueverton S. Souza

We study the problem of completely automatically verifying uninterpreted programs---programs that work over arbitrary data models that provide an interpretation for the constants, functions and relations the program uses. The verification…

编程语言 · 计算机科学 2020-08-27 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

Unclonable encryption, first introduced by Broadbent and Lord (TQC'20), is a one-time encryption scheme with the following security guarantee: any non-local adversary (A, B, C) cannot simultaneously distinguish encryptions of two equal…

密码学与安全 · 计算机科学 2022-07-15 Prabhanjan Ananth , Fatih Kaleoglu , Xingjian Li , Qipeng Liu , Mark Zhandry

The idea of this paper is to explore the existence of canonical countably saturated models for different classes of structures. It is well-known that, under CH, there exists a unique countably saturated linear order of cardinality…

逻辑 · 数学 2020-04-17 Ziemowit Kostana

We give a public key encryption scheme with plausible quasi-exponential security based on the conjectured intractability of two constraint satisfaction problems (CSPs), both of which are instantiated with a corruption rate of $1 - o(1)$.…

密码学与安全 · 计算机科学 2026-04-14 Isaac M Hair , Amit Sahai

Verifiable blind quantum computing allows a client with poor quantum devices to delegate universal quantum computing to a remote quantum server in such a way that the client's privacy is protected and the honesty of the server is verified.…

量子物理 · 物理学 2017-11-15 Yuki Takeuchi , Keisuke Fujii , Tomoyuki Morimae , Nobuyuki Imoto

We present an approach to constrained Horn clause (CHC) verification combining three techniques: abstract interpretation over a domain of convex polyhedra, specialisation of the constraints in CHCs using abstract interpretation of…

计算机科学中的逻辑 · 计算机科学 2014-12-04 Bishoksan Kafle , John P. Gallagher

We present a recursive formulation of the Horn algorithm for deciding the satisfiability of propositional clauses. The usual presentations in imperative pseudo-code are informal and not suitable for simple proofs of its main properties. By…

计算机科学中的逻辑 · 计算机科学 2018-09-14 António Ravara