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A class of models is presented, in the form of continuation monads polymorphic for first-order individuals, that is sound and complete for minimal intuitionistic predicate logic. The proofs of soundness and completeness are constructive and…

Logic · Mathematics 2014-11-04 Danko Ilik

To refine formal methods for concurrent systems, there are several ways of enriching classical operational semantics of process calculi. One can enable the auditing and undoing of past synchronisations thanks to communication keys, thus…

Logic in Computer Science · Computer Science 2024-10-22 Clément Aubert , Iain Phillips , Irek Ulidowski

Call a semantics for a language with variables absolute when variables map to fixed entities in the denotation. That is, a semantics is absolute when the denotation of a variable a is a copy of itself in the denotation. We give a trio of…

Logic in Computer Science · Computer Science 2026-04-20 Murdoch J. Gabbay

I explore the relationships between Prawitz's approach to non-monotonic proof-theoretic validity, which I call reducibility semantics, and some later proof-theoretic approaches, which I call standard base semantics and Sandqvist's base…

Logic · Mathematics 2025-06-23 Antonio Piccolomini d'Aragona

In previous work, summarized in this paper, we proposed an operation of parallel composition for rewriting-logic theories, allowing compositional specification of systems and reusability of components. The present paper focuses on…

Logic in Computer Science · Computer Science 2023-08-01 Óscar Martín , Alberto Verdejo , Narciso Martí-Oliet

We present a completeness result for a logical system which combines stit logic and justification logic in order to represent proving activity of the agents. This logic is interpreted over the semantics introduced in earlier publications.…

Logic · Mathematics 2017-07-12 Grigory Olkhovikov

In targeted adversarial attacks on vision models, the selection of the target label is a critical yet often overlooked determinant of attack success. This target label corresponds to the class that the attacker aims to force the model to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-18 Katarzyna Filus , Jorge M. Cruz-Duarte

Classifiers tend to learn a false causal relationship between an over-represented concept and a label, which can result in over-reliance on the concept and compromised classification accuracy. It is imperative to have methods in place that…

Computation and Language · Computer Science 2023-07-06 Isar Nejadgholi , Svetlana Kiritchenko , Kathleen C. Fraser , Esma Balkır

We propose a method for jointly inferring labels across a collection of data samples, where each sample consists of an observation and a prior belief about the label. By implicitly assuming the existence of a generative model for which a…

Machine Learning · Computer Science 2022-06-22 Esther Rolf , Nikolay Malkin , Alexandros Graikos , Ana Jojic , Caleb Robinson , Nebojsa Jojic

We generalize Harrington-Marker-Shelah's Dilworth-style characterization of the existence of non-empty perfect antichains to co-analytic quasi-orders, establish the analogous theorem at the next definable cardinal, and consider…

Logic · Mathematics 2018-08-29 Benjamin D. Miller , Zoltán Vidnyánszky

The notion of relevance was proposed for stability of justification status of a single argument in incomplete argumentation frameworks (IAFs) in 2024 by Odekerken et al. To extend the notion, we study the relevance for stability of…

Artificial Intelligence · Computer Science 2025-05-23 Anshu Xiong , Songmao Zhang

The drastic increase of data quantity often brings the severe decrease of data quality, such as incorrect label annotations, which poses a great challenge for robustly training Deep Neural Networks (DNNs). Existing learning \mbox{methods}…

Machine Learning · Computer Science 2022-03-18 Qizhou Wang , Bo Han , Tongliang Liu , Gang Niu , Jian Yang , Chen Gong

Standard conformal prediction methods provide a marginal coverage guarantee, which means that for a random test point, the conformal prediction set contains the true label with a user-specified probability. In many classification problems,…

Machine learning classification tasks often benefit from predicting a set of possible labels with confidence scores to capture uncertainty. However, existing methods struggle with the high-dimensional nature of the data and the lack of…

Machine Learning · Computer Science 2024-07-08 Rui Luo , Zhixin Zhou

In contrast to the standard classification paradigm where the true class is given to each training pattern, complementary-label learning only uses training patterns each equipped with a complementary label, which only specifies one of the…

Machine Learning · Statistics 2019-11-20 Takashi Ishida , Gang Niu , Aditya Krishna Menon , Masashi Sugiyama

Terminological knowledge representation systems (TKRSs) are tools for designing and using knowledge bases that make use of terminological languages (or concept languages). We analyze from a theoretical point of view a TKRS whose…

Artificial Intelligence · Computer Science 2014-11-17 M. Buchheit , F. M. Donini , A. Schaerf

Canonical models are of central importance in modal logic, in particular as they witness strong completeness and hence compactness. While the canonical model construction is well understood for Kripke semantics, non-normal modal logics…

Logic in Computer Science · Computer Science 2009-02-13 Lutz Schröder , Dirk Pattinson

In this work we propose a multi-valued extension of logic programs under the stable models semantics where each true atom in a model is associated with a set of justifications. These justifications are expressed in terms of causal graphs…

Artificial Intelligence · Computer Science 2014-09-26 Pedro Cabalar , Jorge Fandinno , Michael Fink

We describe a deterministic process to associate a practical, permanent label to isomorphism classes of abelian varieties defined over finite fields with commutative endomorphism algebra as long as they are ordinary or defined over a prime…

Number Theory · Mathematics 2025-08-04 Edgar Costa , Taylor Dupuy , Stefano Marseglia , David Roe , Christelle Vincent

Uniform proofs are sequent calculus proofs with the following characteristic: the last step in the derivation of a complex formula at any stage in the proof is always the introduction of the top-level logical symbol of that formula. We…

Logic in Computer Science · Computer Science 2014-11-17 Gopalan Nadathur