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Multi-agent interactions, such as communication, teaching, and bluffing, often rely on higher-order social inference, i.e., understanding how others infer oneself. Such intricate reasoning can be effectively modeled through nested…

Artificial Intelligence · Computer Science 2023-08-23 Kunal Jha , Tuan Anh Le , Chuanyang Jin , Yen-Ling Kuo , Joshua B. Tenenbaum , Tianmin Shu

In 1979 Richard Statman proved, using proof-theory, that the purely implicational fragment of Intuitionistic Logic (M-imply) is PSPACE-complete. He showed a polynomially bounded translation from full Intuitionistic Propositional Logic into…

Logic in Computer Science · Computer Science 2015-04-13 Edward Hermann Haeusler

We observe some puzzling linguistic data concerning ordinary knowledge ascriptions that embed an epistemic (im)possibility claim. We conclude that it is untenable to jointly endorse both classical logic and a pair of intuitively attractive…

Logic in Computer Science · Computer Science 2023-07-12 Peter Hawke

Actor-critic algorithms address the dual goals of reinforcement learning (RL), policy evaluation and improvement via two separate function approximators. The practicality of this approach comes at the expense of training instability, caused…

Machine Learning · Computer Science 2024-06-11 Bahareh Tasdighi , Abdullah Akgül , Manuel Haussmann , Kenny Kazimirzak Brink , Melih Kandemir

We prove that it is NP-hard to properly PAC learn decision trees with queries, resolving a longstanding open problem in learning theory (Bshouty 1993; Guijarro-Lavin-Raghavan 1999; Mehta-Raghavan 2002; Feldman 2016). While there has been a…

Computational Complexity · Computer Science 2023-07-11 Caleb Koch , Carmen Strassle , Li-Yang Tan

Intuitionistic epistemic logic introduces an epistemic operator, which reflects the intended BHK semantics of intuitionism, to intuitionistic logic. The fundamental assumption concerning intuitionistic knowledge and belief is that it is the…

Logic · Mathematics 2016-01-14 Tudor Protopopescu

In the sequential decision making setting, an agent aims to achieve systematic generalization over a large, possibly infinite, set of environments. Such environments are modeled as discrete Markov decision processes with both states and…

Machine Learning · Computer Science 2023-03-31 Mirco Mutti , Riccardo De Santi , Emanuele Rossi , Juan Felipe Calderon , Michael Bronstein , Marcello Restelli

According to the principle of polyrepresentation, retrieval accuracy may improve through the combination of multiple and diverse information object representations about e.g. the context of the user, the information sought, or the retrieval…

Information Retrieval · Computer Science 2017-04-07 Christina Lioma , Birger Larsen , Peter Ingwersen

While modern language models and their inner workings are incredibly complex, recent work (Golowich, Liu & Shetty; 2025) has proposed a simple and potentially tractable abstraction for them through the observation that empirically, these…

Machine Learning · Computer Science 2025-12-11 Noah Golowich , Allen Liu , Abhishek Shetty

In this paper an approach to automated deduction under uncertainty,based on possibilistic logic, is proposed ; for that purpose we deal with clauses weighted by a degree which is a lower bound of a necessity or a possibility measure,…

Artificial Intelligence · Computer Science 2013-04-08 Didier Dubois , Jerome Lang , Henri Prade

Over the last few years, the concept of Artificial Intelligence has become central in different tasks concerning both our daily life and several working scenarios. Among these tasks automated planning has always been central in the AI…

Multiagent Systems · Computer Science 2021-09-20 Francesco Fabiano

We investigate the problem of learning description logic ontologies from entailments via queries, using epistemic reasoning. We introduce a new learning model consisting of epistemic membership and example queries and show that polynomial…

Artificial Intelligence · Computer Science 2019-02-12 Ana Ozaki , Nicolas Troquard

STEM education researchers are often interested in identifying moments of students' mechanistic reasoning for deeper analysis, but have limited capacity to search through many team conversation transcripts to find segments with a high…

Physics Education · Physics 2026-04-24 Kaitlin Gili , Mainak Nistala , Kristen Wendell , Michael C. Hughes

We provide algebraic semantics together with a sound and complete sequent calculus for information update due to epistemic actions. This semantics is flexible enough to accommodate incomplete as well as wrong information e.g.due to secrecy…

Logic · Mathematics 2007-05-23 Alexandru Baltag , Bob Coecke , Mehrnoosh Sadrzadeh

Representational learning forms the backbone of most deep learning applications, and the value of a learned representation is intimately tied to its information content regarding different factors of variation. Finding good representations…

Machine Learning · Computer Science 2022-03-31 Kieran A. Murphy , Varun Jampani , Srikumar Ramalingam , Ameesh Makadia

We give a novel approach to proving soundness and completeness for a logic (henceforth: the object-logic) that bypasses truth-in-a-model to work directly with validity. Instead of working with specific worlds in specific models, we reason…

Logic in Computer Science · Computer Science 2022-10-12 Alexander V. Gheorghiu , David J. Pym

Dynamic epistemic logic (DEL) is a logical framework for representing and reasoning about knowledge change for multiple agents. An important computational task in this framework is the model checking problem, which has been shown to be…

Computational Complexity · Computer Science 2020-09-21 Ronald de Haan , Iris van de Pol

Learning representations that capture the underlying data generating process is a key problem for data efficient and robust use of neural networks. One key property for robustness which the learned representation should capture and which…

Machine Learning · Computer Science 2022-06-24 Mathieu Chevalley , Charlotte Bunne , Andreas Krause , Stefan Bauer

Quantum information has suggested new forms of quantum logic, called quantum computational logics, where meanings of sentences are represented by pieces of quantum information (generally, density operators of some Hilbert spaces), which can…

Quantum Physics · Physics 2016-02-25 Giuseppe Sergioli , Roberto Leporini

Inductive logic programming, or relational learning, is a powerful paradigm for machine learning or data mining. However, in order for ILP to become practically useful, the efficiency of ILP systems must improve substantially. To this end,…

Artificial Intelligence · Computer Science 2011-06-10 H. Blockeel , L. Dehaspe , B. Demoen , G. Janssens , J. Ramon , H. Vandecasteele