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This paper describes how automated deduction methods for natural language processing can be applied more efficiently by encoding context in a more elaborate way. Our work is based on formal approaches to context, and we provide a tableau…

Artificial Intelligence · Computer Science 2007-05-23 Christof Monz

With the increasing deployment of machine learning systems in practice, transparency and explainability have become serious issues. Contrastive explanations are considered to be useful and intuitive, in particular when it comes to…

Machine Learning · Computer Science 2021-01-05 André Artelt , Barbara Hammer

This paper presents the Computoser hybrid probability/rule based algorithm for music composition (http://computoser.com) and provides a reference implementation. It addresses the issues of unpleasantness and lack of variation exhibited by…

Artificial Intelligence · Computer Science 2014-12-10 Bozhidar Bozhanov

Tableaux originate as a decision method for a logical language. They can also be extended to obtain a structure that spells out all the information in a set of sentences in terms of truth value assignments to atomic formulas that appear in…

cmp-lg · Computer Science 2008-02-03 Pablo Gervas

We propose applying the categorical compositional scheme of [6] to conceptual space models of cognition. In order to do this we introduce the category of convex relations as a new setting for categorical compositional semantics, emphasizing…

Artificial Intelligence · Computer Science 2016-08-05 Josef Bolt , Bob Coecke , Fabrizio Genovese , Martha Lewis , Daniel Marsden , Robin Piedeleu

We present a model for compositional distributional semantics related to the framework of Coecke et al. (2010), and emulating formal semantics by representing functions as tensors and arguments as vectors. We introduce a new learning method…

Computation and Language · Computer Science 2013-01-31 Edward Grefenstette , Georgiana Dinu , Yao-Zhong Zhang , Mehrnoosh Sadrzadeh , Marco Baroni

Computability theory is traditionally conceived as the theoretical basis of informatics. Nevertheless, numerous proposals transcend computability theory, in particular by emphasizing interaction of modules, or components, parts,…

Software Engineering · Computer Science 2024-08-28 Peter Fettke , Wolfgang Reisig

Conceptual combination performs a fundamental role in creating the broad range of compound phrases utilized in everyday language. This article provides a novel probabilistic framework for assessing whether the semantics of conceptual…

Computation and Language · Computer Science 2014-11-24 Peter D. Bruza , Kirsty Kitto , Brentyn J. Ramm , Laurianne Sitbon

This article present a method of mutual transformation between count model and composition model. Offer the mathematical view of classical radio and log-radio in compositional data analysis and expand the idea of mixture model of counts…

Statistics Theory · Mathematics 2025-09-12 Guanyi Wu

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

In this short note we report on results on a computational search for a counterexample to the strong coincidence conjecture. In particular, we discuss the method used so that further searches can be conducted.

Dynamical Systems · Mathematics 2017-06-19 Scott Balchin

Natural language semantics has recently sought to combine the complementary strengths of formal and distributional approaches to meaning. More specifically, proposals have been put forward to augment formal semantic machinery with…

Computation and Language · Computer Science 2021-03-03 Noortje J. Venhuizen , Petra Hendriks , Matthew W. Crocker , Harm Brouwer

Circuits based on sum-product structure have become a ubiquitous representation to compactly encode knowledge, from Boolean functions to probability distributions. By imposing constraints on the structure of such circuits, certain inference…

Artificial Intelligence · Computer Science 2025-02-25 Benjie Wang , Denis Deratani Mauá , Guy Van den Broeck , YooJung Choi

We consider a general concept of composition and decomposition of objects, and discuss a few natural properties one may expect from a reasonable choice thereof. It will be demonstrated how this leads to multiplication and co- multiplication…

Combinatorics · Mathematics 2010-08-30 P. Blasiak

This dissertation presents a multifaceted look into the structural decomposition of permutation classes. The theory of permutation patterns is a rich and varied field, and is a prime example of how an accessible and intuitive definition…

Combinatorics · Mathematics 2014-10-13 Cheyne Homberger

At the intersection of what I call uncomputable art and computational epistemology, a form of experimental philosophy, we find an exciting and promising area of science related to causation with an alternative, possibly best possible,…

Other Computer Science · Computer Science 2021-09-20 Hector Zenil

In this work, we propose a new model for aspect-based sentiment analysis. In contrast to previous approaches, we jointly model the detection of aspects and the classification of their polarity in an end-to-end trainable neural network. We…

Computation and Language · Computer Science 2018-08-29 Martin Schmitt , Simon Steinheber , Konrad Schreiber , Benjamin Roth

Reverse mathematics studies which subsystems of second order arithmetic are equivalent to key theorems of ordinary, non-set-theoretic mathematics. The main philosophical application of reverse mathematics proposed thus far is foundational…

Logic · Mathematics 2018-07-27 Benedict Eastaugh

We study counting propositional logic as an extension of propositional logic with counting quantifiers. We prove that the complexity of the underlying decision problem perfectly matches the appropriate level of Wagner's counting hierarchy,…

Logic in Computer Science · Computer Science 2021-06-04 Melissa Antonelli , Ugo Dal Lago , Paolo Pistone

This paper is devoted to the study of a newly introduced tool, projectional coderivatives and the corresponding calculus rules in finite dimensions. We show that when the restricted set has some nice properties, more specifically, is a…

Optimization and Control · Mathematics 2024-10-24 Wenfang Yao , Kaiwen Meng , Minghua Li , Xiaoqi Yang