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The present article is a brief informal survey of computability logic --- the game-semantically conceived formal theory of computational resources and tasks. This relatively young nonclassical logic is a conservative extension of classical…

Logic in Computer Science · Computer Science 2019-02-15 Giorgi Japaridze

Recent efforts in Machine Learning (ML) interpretability have focused on creating methods for explaining black-box ML models. However, these methods rely on the assumption that simple approximations, such as linear models or decision-trees,…

Machine Learning · Computer Science 2019-06-13 Owen Lahav , Nicholas Mastronarde , Mihaela van der Schaar

Computability logic (CL) (see http://www.cis.upenn.edu/~giorgi/cl.html ) is a research program for redeveloping logic as a formal theory of computability, as opposed to the formal theory of truth which it has more traditionally been.…

Logic in Computer Science · Computer Science 2011-02-08 Giorgi Japaridze

The work is devoted to Computability Logic (CoL) -- the philosophical/mathematical platform and long-term project for redeveloping classical logic after replacing truth} by computability in its underlying semantics (see…

Logic in Computer Science · Computer Science 2012-08-03 Giorgi Japaridze

In this paper, we introduce Interval Real Logic (IRL), a two-sorted logic that interprets knowledge such as sequential properties (traces) and event properties using sequences of real-featured data. We interpret connectives using fuzzy…

Artificial Intelligence · Computer Science 2023-04-03 Samy Badreddine , Gianluca Apriceno , Andrea Passerini , Luciano Serafini

The usefulness evaluation model proposed by Cole et al. in 2009 [2] focuses on the evaluation of interactive IR systems by their support towards the user's overall goal, sub goals and tasks. This is a more human focus of the IR evaluation…

Information Retrieval · Computer Science 2018-09-10 Daniel Hienert , Peter Mutschke

A new area of application of methods of algebra of logic and to valued logic, which has emerged recently, is the problem of recognizing a variety of objects and phenomena, medical or technical diagnostics, constructing modern machines,…

Artificial Intelligence · Computer Science 2024-02-14 Islambek Saymanov

Possibilistic logic offers a qualitative framework for representing pieces of information associated with levels of uncertainty of priority. The fusion of multiple sources information is discussed in this setting. Different classes of…

Artificial Intelligence · Computer Science 2013-01-18 Salem Benferhat , Didier Dubois , Souhila Kaci , Henri Prade

Computability logic (CoL) (see http://www.cis.upenn.edu/~giorgi/cl.html) is a recently introduced semantical platform and ambitious program for redeveloping logic as a formal theory of computability, as opposed to the formal theory of truth…

Logic in Computer Science · Computer Science 2015-07-01 Giorgi Japaridze

We propose a formalism for representation of finite languages, referred to as the class of IDL-expressions, which combines concepts that were only considered in isolation in existing formalisms. The suggested applications are in natural…

Artificial Intelligence · Computer Science 2011-07-04 M. J. Nederhof , G. Satta

Reliable financial reasoning requires knowing not only how to answer, but also when an answer cannot be justified. In real financial practice, problems often rely on implicit assumptions that are taken for granted rather than stated…

Statistical Finance · Quantitative Finance 2026-04-28 Yuyang Dai , Yan Lin , Zhuohan Xie , Yuxia Wang

Financial domain tasks, such as trading in market exchanges, are challenging and have long attracted researchers. The recent achievements and the consequent notoriety of Reinforcement Learning (RL) have also increased its adoption in…

The research in AI-based formal mathematical reasoning has shown an unstoppable growth trend. These studies have excelled in mathematical competitions like IMO and have made significant progress. This paper focuses on formal verification,…

Artificial Intelligence · Computer Science 2025-06-10 Jialun Cao , Yaojie Lu , Meiziniu Li , Haoyang Ma , Haokun Li , Mengda He , Cheng Wen , Le Sun , Hongyu Zhang , Shengchao Qin , Shing-Chi Cheung , Cong Tian

Document-level relation extraction has attracted much attention in recent years. It is usually formulated as a classification problem that predicts relations for all entity pairs in the document. However, previous works indiscriminately…

Computation and Language · Computer Science 2021-06-04 Shuang Zeng , Yuting Wu , Baobao Chang

A logic family is a bunch of logics that belong together in some way. First-order logic is one of the examples. Logics organized into a structure occurs in abstract model theory, institution theory and in algebraic logic. Logic families…

Logic · Mathematics 2026-03-18 H. Andréka , Z. Gyenis , I. Németi , I. Sain

We consider islamic Profit and Loss (PL) sharing contract, possibly combined with an agency contract, and introduce the notion of {\em $c$-fair} profit sharing ratios ($c = (c_1, \ldots,c_d) \in (\mathbb R^{\star})^d$, where $d$ is the…

Pricing of Securities · Quantitative Finance 2025-07-04 Abass Sagna

Fractional calculus is a generalization of classical theories of integration and differentiation to arbitrary order (i.e., real or complex numbers). In the last two decades, this new mathematical modeling approach has been widely used to…

Logic in Computer Science · Computer Science 2016-08-10 Umair Siddique , Osman Hasan , Sofiène Tahar

Machine learning often requires millions of examples to produce static, black-box models. In contrast, interactive task learning (ITL) emphasizes incremental knowledge acquisition from limited instruction provided by humans in modalities…

Human-Computer Interaction · Computer Science 2024-04-24 Lane Lawley , Christopher J. MacLellan

Program logics are a powerful formal method in the context of program verification. Can we develop a counterpart of program logics in the context of language verification? This paper proposes language logics, which allow for statements of…

Programming Languages · Computer Science 2024-08-06 Matteo Cimini

Rascal is a high-level transformation language that aims to simplify software language engineering tasks like defining program syntax, analyzing and transforming programs, and performing code generation. The language provides several…

Programming Languages · Computer Science 2018-02-07 Ahmad Salim Al-Sibahi