Data Mining Meets Logic: Situation-Based Modal Logic and Metadata Veracity

Authors

  • Simone Cuconato Department of Humanities, University of Calabria

DOI:

https://doi.org/10.23756/sp.v13i1.1658

Keywords:

Modal logic, Situation semantics, Metadata veracity

Abstract

Logic and theoretical computer science are deeply interconnected, with logic forming a foundational pillar in the emergence of computer science. This connection has grown stronger over time, driven by advancements in symbolic systems within artificial intelligence, formal verification methods, and automated reasoning techniques. However, within the vast landscape of computer science, data science remains an area where the link to logic is relatively underdeveloped. In this paper, I apply algebraic logic to address an urgent challenge for data scientists: metadata veracity. Inspired byWillard Van Orman Quine’s well-known slogan, “No entity without identity”, I propose, “No data without metadata”, underscoring the importance of descriptive metadata in scientific articles. The central idea of my framework is that the geometric zones of a scientific article – with its atomic metadata – , correspond to an algebraic situation space. Consequently, I develop a situation-based semantics grounded on the idea that situations are portions of a possible world, a possible world is a PDF document and that sentences point to situations and describe what is going on in them. Applying mathematical logic tools to data mining enables a rigorous framework for defining metadata veracity, offering a structured approach to assess the accuracy and reliability of extracted information.

Downloads

Download data is not yet available.

Author Biography

  • Simone Cuconato, Department of Humanities, University of Calabria
    I am an Adjunct Professor of Mathematics at the University of Calabria. I obtained my PhD in ICT at the Department of Computer Engineering of the University of Calabria and at the Institute of Informatics and Telematics (IIT) of the CNR of Pisa. Previously, during my Master's degree I have studied Logic at the Catholic University of Milan under the supervision of Sergio Galvan and Alessandro Giordani. My research focuses on modal logic and its connection to topology, AI and data science.

References

L. Berti- ´ Equille and J. Borge-Holthoefer. Introduction to Data Veracity. In: Veracity of Data. Synthesis Lectures on Data Management. Springer, 2016.

C. Batini, A. Rula, M. Scannapieco and G. Viscusi. From data quality to big data quality. Journal Of Database Management, 26 (1), pp. 60–82, 2015.

C. Batini and M. Scannapieca. Data Quality. Concepts, Methodologies and Techniques. Springer, Berlin, 2006.

S. Cuconato. A Four-Valued Epistemic Logic for Metadata Modelling from Medical Articles on Pain Therapies. In: Das, A.K., Nayak, J., Naik, B., Vimal, S., Pelusi, D. (eds.) Computational Intelligence in Pattern Recognition. CIPR 2023. Lecture Notes in Networks and Systems, vol 725. pp. 631–640. Springer, Singapore, 2023.

W.V. Quine. Ontological relativity and other essays. Columbia University Press, New York, 1969.

D. Tkaczyk, P. Szostek, P. Jan Dendek, M. Fedoryszak, Ł Bolikowski. CERMINE: automatic extraction of structured metadata from scientific literature. International Journal on Document Analysis and Recognition, 18(4), pp. 317–35, 2015.

S. Cuconato. Modal Logic, Probability and Machine Learning Systems for Metadata Extraction. Ratio Mathematica, 53, 2024. (forthcoming)

S. Cuconato. A Logical Language for Reasoning about Democratic

Decision-Making. Proceedings of 1th International Conference

on Advanced Network Technologies and Computational Intelligence.

ICANTCI 2024. In: Singh, J., Goyal, S.B., Kumar, M., Mittall, R. (eds.)

Advanced Network Technologies and Computational Intelligence. Lecture Notes in Communications in Computer and Information Science, Springer, 2025. (forthcoming)

A. Giordani. Situation-Based Connexive Logic. Studia Logica, 112, pp. 295–323, 2024.

J. Austin. Truth. Proceedings of the Aristotelian Society, Supplementary Volume, 24, pp. 111–128, 1950).[11] K. Fine. A theory of truth-maker content I: Conjunction, disjunction and

negation. Journal of Philosophical Logic, 46, pp. 625–674, 2017.

K. Fine. A theory of truth-maker content II: Subject-matter, common content, remainder and ground. Journal of Philosophical Logic, 46, pp. 675– 702, 2017.

J. Barwise. The Situation in Logic. Center for the Study of Language (CSLI), Stanford, 1989.

G. Gr¨atzer. General Lattice Theory. Birkh¨auser Basel, Springer, 1978.

M. Lundborg, J. Lidmar and B. Hess. On the Path to Optimal Alchemistry. The Protein Journal, 42, pp. 477–489, 2023.

F. Berto. Existence as a Real Property. The Ontology of Meinongianism. Springer, 2013.

S. Cuconato. Oggetti Matematici Non-Esistenti come Truthmakers: Meinonghianismo e l’Argomento di Indispensabilit`a. Rivista di Estetica, 85 (1/24), pp. 168–183, 2024.

A. Das, S. Negri. Automated Reasoning with Analytic Tableaux and Related Methods. 30th International Conference, TABLEAUX 2021, Birmingham, UK, 2021.

P. Mancosu, S. Galvan and R. Zach. An Introduction to Proof Theory: Normalization, Cut-Elimination, and Consistency Proofs. Oxford University Press, Oxford, 2021.

S. Cuconato. Ja´skowski–Fitch Natural Deduction Proofs for Metadata Extraction through Machine Learning Systems. Proceedings of 6th International Conference on Computation Intelligence in Pattern Recognition. CIPR 2024. In: Das, A.K., Nayak, J., Naik, B., Vimal, S., Pelusi, D. (eds.) Computational Intelligence in Pattern Recognition. Lecture Notes in Networks and Systems, Springer, 2025. (forthcoming)

M. Aiello, I. Pratt-Hartmann and J. van Benthem (eds.). Handbook of Spatial Logics. Springer, 2007.

Downloads

Published

2025-06-30

Issue

Section

Volume 13 Issue 1 2025