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Related papers: Behavioral Mereology: A Modal Logic for Passing Co…

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Mereology is the study of parts and the relationships that hold between them. We introduce a behavioral approach to mereology, in which systems and their parts are known only by the types of behavior they can exhibit. Our discussion is…

Logic · Mathematics 2020-07-06 Brendan Fong , David Jaz Myers , David I. Spivak

Stanis{\l}aw Le\'sniewski's mereology was formulated in a specific way, deviating from standard formalizations. Nowadays, Le\'sniewski's theory is presented in the form of an elementary theory or translated into the language of the theory…

Logic · Mathematics 2024-12-16 Andrzej Pietruszczak

Relating macroscopic observables to microscopic interactions is a central challenge in the study of complex systems. While current approaches often focus on pairwise interactions, a complete understanding requires going beyond these to…

Data Analysis, Statistics and Probability · Physics 2025-02-10 Abel Jansma

The study of mereology (parts and wholes) in the context of formal approaches to vagueness can be approached in a number of ways. In the context of rough sets, mereological concepts with a set-theoretic or valuation based ontology acquire…

Artificial Intelligence · Computer Science 2017-01-31 A. Mani

We consider a set-theoretic version of mereology based on the inclusion relation $\subseteq$ and analyze how well it might serve as a foundation of mathematics. After establishing the non-definability of $\in$ from $\subseteq$, we identify…

Logic · Mathematics 2016-04-27 Joel David Hamkins , Makoto Kikuchi

We revisit the behavioral approach to systems theory and make explicit the abstract pattern that governs it. Our end goal is to use that pattern to understand interaction-related phenomena that emerge when systems interact. Rather than…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Elie M. Adam , Munther A. Dahleh

Relation-changing modal logics are extensions of the basic modal logic that allow changes to the accessibility relation of a model during the evaluation of a formula. In particular, they are equipped with dynamic modalities that are able to…

Logic in Computer Science · Computer Science 2016-09-15 Carlos Areces , Raul Fervari , Guillaume Hoffmann , Mauricio Martel

In this paper, we deal with the problem of putting together modal worlds that operate in different logic systems. When evaluating a modal sentence $\Box \varphi$, we argue that it is not sufficient to inspect the truth of $\varphi$ in…

Logic · Mathematics 2022-03-02 Alfredo Roque Freire , Manuel A. Martins

Modal logics have proved useful for many reasoning tasks in symbolic artificial intelligence (AI), such as belief revision, spatial reasoning, among others. On the other hand, mathematical morphology (MM) is a theory for non-linear analysis…

Artificial Intelligence · Computer Science 2023-03-10 Marc Aiguier , Isabelle Bloch , Salim Nibouche , Ramon Pino Perez

Emergent collective group processes and capabilities have been studied through analysis of transactive memory, measures of group task performance, and group intelligence, among others. In their approach to collective behaviors, these…

Physics and Society · Physics 2019-01-01 Yaneer Bar-Yam , David Kantor

It is widely believed that theory is useful in physics because it describes simple systems and that strictly empirical phenomenological approaches are necessary for complex biological and social systems. Here we prove based upon an analysis…

Physics and Society · Physics 2013-08-15 Yaneer Bar-Yam

This contribution shortly outlines and reviews a theoretical and computational approach for a theory of change concerning systems where it is not possible to apply the laws of motion ab initio. The concept of meta-structure relates to the…

Adaptation and Self-Organizing Systems · Physics 2013-10-02 Gianfranco Minati , Ignazio Licata , Eliano Pessa

Consistency check has been the only criterion for theory evaluation in logic-based approaches to reasoning about actions. This work goes beyond that and contributes to the metatheory of actions by investigating what other properties a good…

Artificial Intelligence · Computer Science 2009-09-29 Andreas Herzig , Ivan Varzinczak

In this paper we will give a control theoretic perspective on the research area of behavior trees in robotics. The key idea underlying behavior trees is to make use of modularity, hierarchies and feedback, in order to handle the complexity…

Robotics · Computer Science 2022-03-25 Petter Ögren , Christopher I. Sprague

The mind is a biological phenomenon. Thus, biological principles of organization should also be the principles underlying mental operations. Practopoiesis states that the key for achieving intelligence through adaptation is an arrangement…

Neurons and Cognition · Quantitative Biology 2015-05-11 Danko Nikolić

We give a brief account of the modal logic of the generic multiverse, which is a bimodal logic with operators corresponding to the relations "is a forcing extension of" and "is a ground model of". The fragment of the first relation is…

Logic · Mathematics 2012-08-28 Joel David Hamkins , Benedikt Löwe

The ability to interpret the mental state of another agent based on its behavior, also called Theory of Mind (ToM), is crucial for humans in any kind of social interaction. Artificial systems, such as intelligent assistants, would also…

Artificial Intelligence · Computer Science 2019-09-24 Jan Pöppel , Stefan Kopp

The vertebrate motor system employs dimensionality-reducing strategies to limit the complexity of movement coordination, for efficient motor control. But when environments are dense with hidden action-outcome contingencies, movement…

Neurons and Cognition · Quantitative Biology 2026-01-06 Ryutaro Uchiyama

Justification logics are modal-like logics with the additional capability of recording the reason, or justification, for modalities in syntactic structures, called justification terms. Justification logics can be seen as explicit…

Logic in Computer Science · Computer Science 2015-10-27 Samuel Bucheli

Human perception of the empirical world involves recognizing the diverse appearances, or 'modalities', of underlying objects. Despite the longstanding consideration of this perspective in philosophy and cognitive science, the study of…

Machine Learning · Computer Science 2023-12-19 Zhou Lu
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