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BPMN is a specification language widely used by industry and researchers for business process modeling and execution. It defines clearly how to articulate its concepts, but do not provide mechanism to represent the semantics of the produced…

Software Engineering · Computer Science 2020-12-18 Sérgio Guerreiro , Pedro Sousa

DatalogMTL is an extension of Datalog with operators from metric temporal logic which has received significant attention in recent years. It is a highly expressive knowledge representation language that is well-suited for applications in…

Artificial Intelligence · Computer Science 2022-01-13 Dingmin Wang , Pan Hu , Przemysław Andrzej Wałęga , Bernardo Cuenca Grau

In this paper, we present a new approach to the semantic enrichment of mathematical expression problem. Our approach is a combination of statistical machine translation and disambiguation which makes use of surrounding text of the…

Digital Libraries · Computer Science 2013-06-03 Minh-Quoc Nghiem , Giovanni Yoko Kristianto , Goran Topic , Akiko Aizawa

Explaining opaque Machine Learning (ML) models is an increasingly relevant problem. Current explanation in AI (XAI) methods suffer several shortcomings, among others an insufficient incorporation of background knowledge, and a lack of…

Artificial Intelligence · Computer Science 2023-09-04 Laura State , Salvatore Ruggieri , Franco Turini

DatalogMTL is a powerful rule-based language for temporal reasoning. Due to its high expressive power and flexible modeling capabilities, it is suitable for a wide range of applications, including tasks from industrial and financial…

Artificial Intelligence · Computer Science 2025-12-16 Shaoyu Wang , Kaiyue Zhao , Dongliang Wei , Przemysław Andrzej Wałęga , Dingmin Wang , Hongming Cai , Pan Hu

This thesis concerns the development of a framework that facilitates the design and analysis of formal systems. Specifically, this framework provides a specification language which supports the concise and direct description of formal…

Logic in Computer Science · Computer Science 2009-10-06 Andrew Gacek

Mathematical language in scientific communications and educational scenarios is important yet relatively understudied compared to natural languages. Recent works on mathematical language focus either on representing stand-alone mathematical…

Computation and Language · Computer Science 2023-02-17 Alexander Scarlatos , Andrew Lan

Advances in large language models (LLMs) have spurred research into enhancing their reasoning capabilities, particularly in math-rich STEM (Science, Technology, Engineering, and Mathematics) documents. While LLMs can generate equations or…

Computation and Language · Computer Science 2025-06-03 Jiaru Zou , Qing Wang , Pratyush Thakur , Nickvash Kani

Purpose: Modern mathematicians and scientists of math-related disciplines often use Document Preparation Systems (DPS) to write and Computer Algebra Systems (CAS) to calculate mathematical expressions. Usually, they translate the…

Digital Libraries · Computer Science 2019-06-28 Andre Greiner-Petter , Moritz Schubotz , Howard S. Cohl , Bela Gipp

The area of declarative data analytics explores the application of the declarative paradigm on data science and machine learning. It proposes declarative languages for expressing data analysis tasks and develops systems which optimize…

Databases · Computer Science 2019-02-05 Nantia Makrynioti , Vasilis Vassalos

Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal systems systems with precise grammars and rules of use. Building on such foundations, computational proof…

History and Overview · Mathematics 2023-11-07 Jeremy Avigad

In this paper we describe an approach to programming microcontrollers based on the Arduino platform using Datalog as a clear and concise description language for system behaviors. The application areas of cheap and easily programmable…

Programming Languages · Computer Science 2019-09-04 Mario Wenzel , Stefan Brass

Advances in logic programming and increasing industrial uptake of Datalog-inspired approaches demonstrate the emerging need to express powerful code analyses more easily. Declarative program analysis frameworks (e.g., using logic…

Software Engineering · Computer Science 2021-12-24 Rijnard van Tonder

Mathematical formulae represent complex semantic information in a concise form. Especially in Science, Technology, Engineering, and Mathematics, mathematical formulae are crucial to communicate information, e.g., in scientific papers, and…

Digital Libraries · Computer Science 2018-04-16 Moritz Schubotz , Andre Greiner-Petter , Philipp Scharpf , Norman Meuschke , Howard Cohl , Bela Gipp

Mathematical software systems are becoming more and more important in pure and applied mathematics in order to deal with the complexity and scalability issues inherent in mathematics. In the last decades we have seen a cambric explosion of…

Mathematical Software · Computer Science 2020-02-13 Katja Bercic , Jacques Carette , William M. Farmer , Michael Kohlhase , Dennis Müller , Florian Rabe , Yasmine Sharoda

As modern scientific instruments generate vast amounts of data and the volume of information in the scientific literature continues to grow, machine learning (ML) has become an essential tool for organising, analysing, and interpreting…

We advocate a declarative approach to proving properties of logic programs. Total correctness can be separated into correctness, completeness and clean termination; the latter includes non-floundering. Only clean termination depends on the…

Logic in Computer Science · Computer Science 2011-10-25 W. Drabent , M. Milkowska

Scientific machine learning research spans diverse domains and data modalities, yet existing benchmark efforts remain siloed and lack standardization. This makes novel and transformative applications of machine learning to critical…

Operational semantics have been enormously successful, in large part due to its flexibility and simplicity, but they are not compositional. Denotational semantics, on the other hand, are compositional but the lattice-theoretic models are…

Programming Languages · Computer Science 2017-10-24 Jeremy G. Siek

The use of semantic technologies is gaining significant traction in science communication with a wide array of applications in disciplines including the Life Sciences, Computer Science, and the Social Sciences. Languages like RDF, OWL, and…

Digital Libraries · Computer Science 2021-11-01 Cristina-Iulia Bucur , Tobias Kuhn , Davide Ceolin , Jacco van Ossenbruggen