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Answer Set Programming (ASP) is an increasingly popular framework for declarative programming that admits the description of problems by means of rules and constraints that form a disjunctive logic program. In particular, many AI problems…

Computational Complexity · Computer Science 2014-03-07 Johannes Klaus Fichte , Stefan Szeider

A backdoor set is a set of variables of a propositional formula such that fixing the truth values of the variables in the backdoor set moves the formula into some polynomial-time decidable class. If we know a small backdoor set we can…

Data Structures and Algorithms · Computer Science 2011-11-01 Serge Gaspers , Stefan Szeider

Backdoor sets, a notion introduced by Williams et al. in 2003, are certain sets of key variables of a CNF formula F that make it easy to solve the formula; by assigning truth values to the variables in a backdoor set, the formula gets…

Data Structures and Algorithms · Computer Science 2012-02-22 Serge Gaspers , Stefan Szeider

Deep neural networks are vulnerable to a range of adversaries. A particularly pernicious class of vulnerabilities are backdoors, where model predictions diverge in the presence of subtle triggers in inputs. An attacker can implant a…

Machine Learning · Computer Science 2022-12-20 Goutham Ramakrishnan , Aws Albarghouthi

Backdoor attack intends to embed hidden backdoor into deep neural networks (DNNs), so that the attacked models perform well on benign samples, whereas their predictions will be maliciously changed if the hidden backdoor is activated by…

Cryptography and Security · Computer Science 2022-02-17 Yiming Li , Yong Jiang , Zhifeng Li , Shu-Tao Xia

A strong backdoor in a formula $\phi$ of propositional logic to a tractable class $\mathcal{C}$ of formulas is a set $B$ of variables of $\phi$ such that every assignment of the variables in $B$ results in a formula from $\mathcal{C}$.…

Data Structures and Algorithms · Computer Science 2021-02-10 Nikolas Mählmann , Sebastian Siebertz , Alexandre Vigny

Disjunctive Answer Set Programming is a powerful declarative programming paradigm with complexity beyond NP. Identifying classes of programs for which the consistency problem is in NP is of interest from the theoretical standpoint and can…

Computational Complexity · Computer Science 2015-07-21 Johannes K. Fichte , Miroslaw Truszczynski , Stefan Woltran

In this paper, we introduce a notion of backdoors to Reiter's propositional default logic and study structural properties of it. Also we consider the problems of backdoor detection (parameterised by the solution size) as well as backdoor…

Logic in Computer Science · Computer Science 2016-02-22 Johannes K. Fichte , Arne Meier , Irina Schindler

A backdoor in a finite-domain CSP instance is a set of variables where each possible instantiation moves the instance into a polynomial-time solvable class. Backdoors have found many applications in artificial intelligence and elsewhere,…

Computational Complexity · Computer Science 2022-11-21 Peter Jonsson , Victor Lagerkvist , Sebastian Ordyniak

Constraint answer set programming is a promising research direction that integrates answer set programming with constraint processing. It is often informally related to the field of satisfiability modulo theories. Yet, the exact formal link…

Logic in Computer Science · Computer Science 2017-02-27 Yuliya Lierler , Benjamin Susman

Backdoor attacks embed hidden malicious behaviors into deep learning models, which only activate and cause misclassifications on model inputs containing a specific trigger. Existing works on backdoor attacks and defenses, however, mostly…

Computer Vision and Pattern Recognition · Computer Science 2021-09-08 Emily Wenger , Josephine Passananti , Arjun Bhagoji , Yuanshun Yao , Haitao Zheng , Ben Y. Zhao

The growing dependence on machine learning in real-world applications emphasizes the importance of understanding and ensuring its safety. Backdoor attacks pose a significant security risk due to their stealthy nature and potentially serious…

Cryptography and Security · Computer Science 2023-10-19 Ganghua Wang , Xun Xian , Jayanth Srinivasa , Ashish Kundu , Xuan Bi , Mingyi Hong , Jie Ding

In the context of CSPs, a strong backdoor is a subset of variables such that every complete assignment yields a residual instance guaranteed to have a specified property. If the property allows efficient solving, then a small strong…

Artificial Intelligence · Computer Science 2014-10-13 Clement Carbonnel , Martin C. Cooper , Emmanuel Hebrard

Propositional satisfiability (SAT) is at the nucleus of state-of-the-art approaches to a variety of computationally hard problems, one of which is cryptanalysis. Moreover, a number of practical applications of SAT can only be tackled…

Artificial Intelligence · Computer Science 2018-03-14 Alexander Semenov , Oleg Zaikin , Ilya Otpuschennikov , Stepan Kochemazov , Alexey Ignatiev

In this paper we extend the classical notion of strong and weak backdoor sets for SAT and CSP by allowing that different instantiations of the backdoor variables result in instances that belong to different base classes; the union of the…

Artificial Intelligence · Computer Science 2017-01-02 Serge Gaspers , Neeldhara Misra , Sebastian Ordyniak , Stefan Szeider , Stanislav Živný

Backdoor attacks inject poisoning samples during training, with the goal of forcing a machine learning model to output an attacker-chosen class when presented a specific trigger at test time. Although backdoor attacks have been demonstrated…

Machine learning is vulnerable to adversarial manipulation. Previous literature has demonstrated that at the training stage attackers can manipulate data and data sampling procedures to control model behaviour. A common attack goal is to…

Machine Learning · Computer Science 2022-06-17 Mikel Bober-Irizar , Ilia Shumailov , Yiren Zhao , Robert Mullins , Nicolas Papernot

Backdoor attacks represent a subtle yet effective class of cyberattacks targeting AI models, primarily due to their stealthy nature. The model behaves normally on clean data but exhibits malicious behavior only when the attacker embeds a…

Machine Learning · Computer Science 2025-09-29 Sujeevan Aseervatham , Achraf Kerzazi , Younès Bennani

Backdoor (trojan) attacks embed hidden, controllable behaviors into machine-learning models so that models behave normally on benign inputs but produce attacker-chosen outputs when a trigger is present. This survey reviews the rapidly…

Cryptography and Security · Computer Science 2025-09-10 Bilal Hussain Abbasi , Yanjun Zhang , Leo Zhang , Shang Gao

Web-scraped datasets are vulnerable to data poisoning, which can be used for backdooring deep image classifiers during training. Since training on large datasets is expensive, a model is trained once and re-used many times. Unlike…

Machine Learning · Computer Science 2024-01-23 Benjamin Schneider , Nils Lukas , Florian Kerschbaum
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