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In natural language, words and phrases themselves imply the semantics. In contrast, the meaning of identifiers in mathematical formulae is undefined. Thus scientists must study the context to decode the meaning. The Mathematical Language…

Digital Libraries · Computer Science 2019-07-02 Robert Pagael , Moritz Schubotz

In order to work with mathematical content in computer systems, it is necessary to represent it in formal languages. Ideally, these are supported by tools that verify the correctness of the content, allow computing with it, and produce…

Logic in Computer Science · Computer Science 2020-05-27 Cezary Kaliszyk , Florian Rabe

We present a system capable of automatically solving combinatorial logic puzzles given in (simplified) English. It involves translating the English descriptions of the puzzles into answer set programming(ASP) and using ASP solvers to…

Computation and Language · Computer Science 2011-08-22 Chitta Baral , Juraj Dzifcak

Statutory reasoning is the task of determining whether a legal statute, stated in natural language, applies to the text description of a case. Prior work introduced a resource that approached statutory reasoning as a monolithic textual…

Computation and Language · Computer Science 2021-05-18 Nils Holzenberger , Benjamin Van Durme

Solving math story problems is a complex task for students and NLP models alike, requiring them to understand the world as described in the story and reason over it to compute an answer. Recent years have seen impressive performance on…

Computation and Language · Computer Science 2025-02-27 Andreas Opedal , Niklas Stoehr , Abulhair Saparov , Mrinmaya Sachan

On the one hand, Constraint Satisfaction Problems allow one to declaratively model problems. On the other hand, propositional satisfiability problem (SAT) solvers can handle huge SAT instances. We thus present a technique to declaratively…

Artificial Intelligence · Computer Science 2014-07-01 Frédéric Lardeux , Eric Monfroy , Broderick Crawford , Ricardo Soto

Mathematical documents written in LaTeX often contain ambiguities. We can resolve some of them via semantic markup using, e.g., sTeX, which also has other potential benefits, such as interoperability with computer algebra systems, proof…

Computation and Language · Computer Science 2024-08-12 Luka Vrečar , Joe Wells , Fairouz Kamareddine

Large language models (LLMs) are known to struggle with complicated reasoning tasks such as math word problems (MWPs). In this paper, we present how analogy from similarly structured questions can improve LLMs' problem-solving capabilities…

Computation and Language · Computer Science 2024-11-26 Xiaocong Yang , Jiacheng Lin , Ziqi Wang , Chengxiang Zhai

When people interpret text, they rely on inferences that go beyond the observed language itself. Inspired by this observation, we introduce a method for the analysis of text that takes implicitly communicated content explicitly into…

Computation and Language · Computer Science 2025-02-25 Alexander Hoyle , Rupak Sarkar , Pranav Goel , Philip Resnik

Understanding and creating mathematics using natural mathematical language - the mixture of symbolic and natural language used by humans - is a challenging and important problem for driving progress in machine learning. As a step in this…

Information Retrieval · Computer Science 2021-06-09 Sean Welleck , Jiacheng Liu , Ronan Le Bras , Hannaneh Hajishirzi , Yejin Choi , Kyunghyun Cho

Natural language reasoning plays an increasingly important role in improving language models' ability to solve complex language understanding tasks. An interesting use case for reasoning is the resolution of context-dependent ambiguity. But…

Computation and Language · Computer Science 2023-10-24 Stefan F. Schouten , Peter Bloem , Ilia Markov , Piek Vossen

Math word problem (MWP) is a challenging and critical task in natural language processing. Many recent studies formalize MWP as a generation task and have adopted sequence-to-sequence models to transform problem descriptions to mathematical…

Computation and Language · Computer Science 2021-09-08 Jianhao Shen , Yichun Yin , Lin Li , Lifeng Shang , Xin Jiang , Ming Zhang , Qun Liu

Concept learning is a form of supervised machine learning that operates on knowledge bases in description logics. State-of-the-art concept learners often rely on an iterative search through a countably infinite concept space. In each…

Machine Learning · Statistics 2026-03-13 Louis Mozart Kamdem Teyou , Caglar Demir , Axel-Cyrille Ngonga Ngomo

We introduce CLEVR-Math, a multi-modal math word problems dataset consisting of simple math word problems involving addition/subtraction, represented partly by a textual description and partly by an image illustrating the scenario. The text…

Machine Learning · Computer Science 2022-08-11 Adam Dahlgren Lindström , Savitha Sam Abraham

There has recently been an increasing interest in declarative data analysis, where analytic tasks are specified using a logical language, and their implementation and optimisation are delegated to a general-purpose query engine. Existing…

Artificial Intelligence · Computer Science 2018-04-26 Mark Kaminski , Bernardo Cuenca Grau , Egor V. Kostylev , Boris Motik , Ian Horrocks

Detecting what emotions are expressed in text is a well-studied problem in natural language processing. However, research on finer grained emotion analysis such as what causes an emotion is still in its infancy. We present solutions that…

Computation and Language · Computer Science 2021-06-21 Elsbeth Turcan , Shuai Wang , Rishita Anubhai , Kasturi Bhattacharjee , Yaser Al-Onaizan , Smaranda Muresan

We introduce the Declaratron, a system which takes a declarative approach to specifying mathematically based scientific computation. This uses displayable mathematical notation (Content MathML) and is both executable and semantically well…

Mathematical Software · Computer Science 2013-07-12 Dave Murray-Rust , Peter Murray-Rust

Sequence-to-sequence (SEQ2SEQ) models have been successfully applied to automatic math word problem solving. Despite its simplicity, a drawback still remains: a math word problem can be correctly solved by more than one equations. This…

Computation and Language · Computer Science 2018-11-16 Lei Wang , Yan Wang , Deng Cai , Dongxiang Zhang , Xiaojiang Liu

Solutions to math word problems (MWPs) with step-by-step explanations are valuable, especially in education, to help students better comprehend problem-solving strategies. Most existing approaches only focus on obtaining the final correct…

Computation and Language · Computer Science 2023-06-02 Mengxue Zhang , Zichao Wang , Zhichao Yang , Weiqi Feng , Andrew Lan

Operations research deals with modeling and solving real-world problems as mathematical optimization problems. While solving mathematical systems is accomplished by analytical software, formulating a problem as a set of mathematical…

Computation and Language · Computer Science 2023-12-13 Neeraj Gangwar , Nickvash Kani