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The ability to precisely derive mathematical objects is a core requirement for downstream STEM applications, including mathematics, physics, and chemistry, where reasoning must culminate in formally structured expressions. Yet, current LM…

We present a unifying framework for type systems for process calculi. The core of the system provides an accurate correspondence between essentially functional processes and linear logic proofs; fragments of this system correspond to…

Logic in Computer Science · Computer Science 2015-05-29 Emmanuel Beffara

Data workers may have a a different mental model of their data that the one reified in code. Understanding the organization of their data is necessary for analyzing data, be it through scripting, visualization or abstract thought. More…

Human-Computer Interaction · Computer Science 2025-01-23 Connor Scully-Allison , Katy Williams , Stephanie Brink , Olga Pearce , Katherine E. Isaacs

Large Language Models (LLMs) are increasingly used for boosting organizational efficiency and automating tasks. While not originally designed for complex cognitive processes, recent efforts have further extended to employ LLMs in activities…

Artificial Intelligence · Computer Science 2024-08-13 Fabiana Fournier , Lior Limonad , Inna Skarbovsky

Continuous first-order logic is used to apply model-theoretic analysis to analytic structures (e.g. Hilbert spaces, Banach spaces, probability spaces, etc.). Classical computable model theory is used to examine the algorithmic structure of…

Logic · Mathematics 2008-06-04 Wesley Calvert

Recent advancements in Large Language Models (LLMs) have significantly enhanced their ability to perform complex reasoning tasks, transitioning from fast and intuitive thinking (System 1) to slow and deep reasoning (System 2). While System…

Computation and Language · Computer Science 2025-04-01 Rui Wang , Hongru Wang , Boyang Xue , Jianhui Pang , Shudong Liu , Yi Chen , Jiahao Qiu , Derek Fai Wong , Heng Ji , Kam-Fai Wong

DatalogMTL is an extension of Datalog with metric temporal operators that has found an increasing number of applications in recent years. Reasoning in DatalogMTL is, however, of high computational complexity, which makes reasoning in modern…

Logic in Computer Science · Computer Science 2025-06-11 Dingmin Wang , Przemysław A. Wałęga , Pan Hu , Bernardo Cuenca Grau

In this paper, we propose a comprehensive benchmark to investigate models' logical reasoning capabilities in complex real-life scenarios. Current explanation datasets often employ synthetic data with simple reasoning structures. Therefore,…

Artificial Intelligence · Computer Science 2022-10-25 Yinya Huang , Hongming Zhang , Ruixin Hong , Xiaodan Liang , Changshui Zhang , Dong Yu

We discuss first order systems of rational difference equations which have the property that lines through the origin are mapped into lines through the origin. We call such systems projective systems of rational difference equations and we…

Dynamical Systems · Mathematics 2011-10-18 Frank J. Palladino

Quantitative properties of stochastic systems are usually specified in logics that allow one to compare the measure of executions satisfying certain temporal properties with thresholds. The model checking problem for stochastic systems with…

Logic in Computer Science · Computer Science 2010-05-11 Axel Legay , Benoit Delahaye

We introduce a new data structure for answering connectivity queries in undirected graphs subject to batched vertex failures. Precisely, given any graph G and integer k, we can in fixed-parameter time construct a data structure that can…

Data Structures and Algorithms · Computer Science 2021-11-09 Michał Pilipczuk , Nicole Schirrmacher , Sebastian Siebertz , Szymon Toruńczyk , Alexandre Vigny

First-order logic has been established as an important tool for modeling and verifying intricate systems such as distributed protocols and concurrent systems. These systems are parametric in the number of nodes in the network or the number…

Logic in Computer Science · Computer Science 2024-08-21 Raz Lotan , Eden Frenkel , Sharon Shoham

Data modeling is a process of developing a model to design and develop a data system that supports an organization s various business processes. A conceptual data model represents a technology-independent specification of structure of data…

Databases · Computer Science 2021-10-01 Sabah Al-Fedaghi

The work concerns formal verification of workflow-oriented software models using deductive approach. The formal correctness of a model's behaviour is considered. Manually building logical specifications, which are considered as a set of…

Software Engineering · Computer Science 2015-01-05 Radoslaw Klimek

This paper presents an innovative data-centric paradigm for designing computational systems by introducing a new informatics domain model. The proposed model moves away from the conventional node-centric framework and focuses on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-17 William Johnson , James Davis , Tara Kelly

Process mining is widely used to diagnose processes and uncover performance and compliance problems. It is also possible to see relations between different behavioral aspects, e.g., cases that deviate more at the beginning of the process…

Artificial Intelligence · Computer Science 2021-12-23 Mahnaz Sadat Qafari , Wil van der Aalst

Analysis of large data collections using popular machine learning and statistical algorithms has been a topic of increasing research interest. A typical analysis workload consists of applying an algorithm to build a model on a data…

Databases · Computer Science 2015-09-18 Priyank Gupta , Nick Koudas , Europa Shang , Ryan Johnson , Calisto Zuzarte

Popular process models such as the Rational Unified Process or the V-Modell XT are by nature large and complex. Each time that a new release is published software development organizations are confronted with the big challenge of…

Software Engineering · Computer Science 2013-11-14 Alexis Ocampo , Jürgen Münch , William E. Riddle

Automation and computer intelligence to support complex human decisions becomes essential to manage large and distributed systems in the Cloud and IoT era. Understanding the root cause of an observed symptom in a complex system has been a…

Artificial Intelligence · Computer Science 2017-07-04 Marc Solé , Victor Muntés-Mulero , Annie Ibrahim Rana , Giovani Estrada

In economic theory, an agent chooses from available alternatives -- modeled as a set. In decisions in the field or in the lab, however, agents do not have access to the set of alternatives at once. Instead, alternatives are represented by…

Computer Science and Game Theory · Computer Science 2021-11-09 Paulo Oliva , Philipp Zahn
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