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Nonmonotonic reasoning is a pattern of reasoning that allows an agent to make and retract (tentative) conclusions from inconclusive evidence. This paper gives a possible-worlds interpretation of the nonmonotonic reasoning problem based on…

Artificial Intelligence · Computer Science 2013-04-10 Carl Kadie

Explainable multi-hop question answering (QA) not only predicts answers but also identifies rationales, i. e. subsets of input sentences used to derive the answers. This problem has been extensively studied under the supervised setting,…

Computation and Language · Computer Science 2023-05-24 Wenting Zhao , Justin T. Chiu , Claire Cardie , Alexander M. Rush

Equilibrium logic is an approach to nonmonotonic reasoning that extends the stable-model and answer-set semantics for logic programs. In particular, it includes the general case of nested logic programs, where arbitrary Boolean combinations…

Logic in Computer Science · Computer Science 2009-12-30 David Pearce , Hans Tompits , Stefan Woltran

This note is concerned with a formal analysis of the problem of non-monotonic reasoning in intelligent systems, especially when the uncertainty is taken into account in a quantitative way. A firm connection between logic and probability is…

Artificial Intelligence · Computer Science 2013-04-05 Hung-Trung Nguyen

The evaluation of explanation methods is a research topic that has not yet been explored deeply, however, since explainability is supposed to strengthen trust in artificial intelligence, it is necessary to systematically review and compare…

Reasoning is key to many decision making processes. It requires consolidating a set of rule-like premises that are often associated with degrees of uncertainty and observations to draw conclusions. In this work, we address both the case…

Computation and Language · Computer Science 2024-10-15 Timo Pierre Schrader , Lukas Lange , Simon Razniewski , Annemarie Friedrich

As a compact representation of joint probability distributions over a dependence graph of random variables, and a tool for modelling and reasoning in the presence of uncertainty, Bayesian networks are of great importance for artificial…

Quantum Physics · Physics 2020-10-06 Michael de Oliveira , Luis Soares Barbosa

We present Proof-of-Perception (PoP), a tool-using framework that casts multimodal reasoning as an executable graph with explicit reliability guarantees. Each perception or logic node outputs a conformal set, yielding calibrated, stepwise…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Arya Fayyazi , Haleh Akrami

Matching logic is a formalism for specifying, and reasoning about, mathematical structures, using patterns and pattern matching. Growing in popularity, it has been used to define many logical systems such as separation logic with recursive…

Logic in Computer Science · Computer Science 2022-09-22 Péter Bereczky , Xiaohong Chen , Dániel Horpácsi , Lucas Peña , Jan Tušil

The purpose of this paper is to report on the most recent developments in our ongoing investigation of the representation and manipulation of uncertainty in automated reasoning systems. In our earlier studies (Tong and Shapiro, 1985) we…

Artificial Intelligence · Computer Science 2013-04-12 Richard M. Tong , Lee A. Appelbaum , D. G. Shapiro

Cognitive theories for reasoning are about understanding how humans come to conclusions from a set of premises. Starting from hypothetical thoughts, we are interested which are the implications behind basic everyday language and how do we…

Artificial Intelligence · Computer Science 2022-05-11 Emmanuelle Dietz , Johannes K. Fichte , Florim Hamiti

Argumentation is a non-monotonic process. This reflects the fact that argumentation involves uncertain information, and so new information can cause a change in the conclusions drawn. However, the base logic does not need to be…

Artificial Intelligence · Computer Science 2018-09-05 Anthony Hunter

Developing intuition about quantum information theory problems is difficult, as is verifying or ruling-out of hypothesis. We present a Matlab package intended to provide the QIT community with a new and powerful tool-set for quantum…

Quantum Physics · Physics 2007-08-06 Shai Machnes

Current approaches to expert systems' reasoning under uncertainty fail to capture the iterative revision process characteristic of intelligent human reasoning. This paper reports on a system, called the Non-monotonic Probabilist, or NMP…

Artificial Intelligence · Computer Science 2013-04-12 Kathryn Blackmond Laskey , Marvin S. Cohen

Multi-hop Question Answering (QA) requires the machine to answer complex questions by finding scattering clues and reasoning from multiple documents. Graph Network (GN) and Question Decomposition (QD) are two common approaches at present.…

Computation and Language · Computer Science 2022-03-18 Jiawei Li , Mucheng Ren , Yang Gao , Yizhe Yang

Dealing with uncertain, contradicting, and ambiguous information is still a central issue in Artificial Intelligence (AI). As a result, many formalisms have been proposed or adapted so as to consider non-monotonicity, with only a limited…

Artificial Intelligence · Computer Science 2023-11-15 Lucas Rizzo , Luca Longo

We develop a linear logical framework within the Hybrid system and use it to reason about the type system of a quantum lambda calculus. In particular, we consider a practical version of the calculus called Proto-Quipper, which contains the…

Logic in Computer Science · Computer Science 2018-12-11 Mohamed Yousri Mahmoud , Amy P. Felty

Effective multi-hop question answering (QA) requires reasoning over multiple scattered paragraphs and providing explanations for answers. Most existing approaches cannot provide an interpretable reasoning process to illustrate how these…

Computation and Language · Computer Science 2022-08-29 Zhenyun Deng , Yonghua Zhu , Yang Chen , Michael Witbrock , Patricia Riddle

In a case study we investigate whether off the shelf higher-order theorem provers and model generators can be employed to automate reasoning in and about quantified multimodal logics. In our experiments we exploit the new TPTP…

Artificial Intelligence · Computer Science 2009-05-28 Christoph Benzmueller

Multi-hop Question Answering (QA) is a challenging task since it requires an accurate aggregation of information from multiple context paragraphs and a thorough understanding of the underlying reasoning chains. Recent work in multi-hop QA…

Computation and Language · Computer Science 2022-11-02 Kaige Xie , Sarah Wiegreffe , Mark Riedl
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