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We present the first steps of interaction spaces theory, a universal mathematical theory of complex systems which is able to embed cellular automata, agent based models, master equation based models, stochastic or deterministic, continuous…

Mathematical Physics · Physics 2024-07-03 Paolo Giordano

Robots assisting humans in complex domains have to represent knowledge and reason at both the sensorimotor level and the social level. The architecture described in this paper couples the non-monotonic logical reasoning capabilities of a…

Robotics · Computer Science 2015-08-04 Zenon Colaco , Mohan Sridharan

In this paper, we discuss different models for human logic systems and describe a game with nature. Godel`s incompleteness theorem is taken into account to construct a model of logical networks based on axioms obtained by symmetry breaking.…

Physics and Society · Physics 2007-05-23 Fariel Shafee

Representations are essential to mathematically model phenomena, but there are many options available. While each of those options provides useful properties with which to solve problems related to the phenomena in study, comparing results…

Logic in Computer Science · Computer Science 2025-10-01 Luke Bayzid , Alexandre Madeira , Manuel A. Martins

This paper combines the classical model of labeled transition systems with the epistemic model for reasoning about knowledge. The result is a unifying framework for modeling and analyzing multi-agent, knowledge-based, dynamic systems. On…

Artificial Intelligence · Computer Science 2025-12-03 Alessandro Aldini

This work presents an operational and geometric approach to logic. It starts from the multilinear elective decomposition of binary logical functions in the original form introduced by George Boole. A justification on historical grounds is…

Logic in Computer Science · Computer Science 2018-02-07 Zeno Toffano

We present DCL-PC: a logic for reasoning about how the abilities of agents and coalitions of agents are altered by transferring control from one agent to another. The logical foundation of DCL-PC is CL-PC, a logic for reasoning about…

Artificial Intelligence · Computer Science 2014-01-17 Wiebe van der Hoek , Dirk Walther , Michael Wooldridge

We collect from several sources some of the most important results on the forward and backward limits of points under real and complex rational functions, and in particular real and complex Newton maps, and we provide numerical evidence…

Dynamical Systems · Mathematics 2018-12-04 Roberto De Leo

The generation of comprehensible explanations is an essential feature of modern artificial intelligence systems. In this work, we consider probabilistic logic programming, an extension of logic programming which can be useful to model…

Artificial Intelligence · Computer Science 2023-08-17 Germán Vidal

Dynamic epistemic logics which model abilities of agents to make various announcements and influence each other's knowledge have been studied extensively in recent years. Two notable examples of such logics are Group Announcement Logic and…

Logic in Computer Science · Computer Science 2018-10-08 Rustam Galimullin , Natasha Alechina

Epistemic logic is known as a logic that captures the knowledge and beliefs of agents and has undergone various developments since Hintikka (1962). In this paper, we propose a new logic called agent-knowledge logic by taking the product of…

Logic · Mathematics 2025-01-03 Yuki Nishimura

The specification of the action space plays a pivotal role in imitation-based robotic manipulation policy learning, fundamentally shaping the optimization landscape of policy learning. While recent advances have focused heavily on scaling…

Robotics · Computer Science 2026-04-24 Yuchun Feng , Jinliang Zheng , Zhihao Wang , Dongxiu Liu , Jianxiong Li , Jiangmiao Pang , Tai Wang , Xianyuan Zhan

We present an algorithm for deriving a spatial-behavioral type system from a formal presentation of a computational calculus. Given a 2-monad Calc: Catv$\to$ Cat for the free calculus on a category of terms and rewrites and a 2-monad…

Logic in Computer Science · Computer Science 2016-10-18 Mike Stay , Lucius Gregory Meredith

The development of logic has largely been through the 'deductive' paradigm: conclusions are inferred from established premisses. However, the use of logic in the context of both human and machine reasoning is typically through the dual…

Logic in Computer Science · Computer Science 2025-04-29 Alexander V. Gheorghiu , David J. Pym

The dominant theories of rational choice assume logical omniscience. That is, they assume that when facing a decision problem, an agent can perform all relevant computations and determine the truth value of all relevant logical/mathematical…

Artificial Intelligence · Computer Science 2023-07-12 Caspar Oesterheld , Abram Demski , Vincent Conitzer

Though a lot of work in multi-agent systems is focused on reasoning about knowledge and beliefs of artificial agents, an explicit representation and reasoning about the presence/absence of agents, especially in the scenarios where agents…

Multiagent Systems · Computer Science 2020-01-23 Shikha Singh , Deepak Khemani

Navigation is an essential ability for mobile agents to be completely autonomous and able to perform complex actions. However, the problem of navigation for agents with limited (or no) perception of the world, or devoid of a fully defined…

Robotics · Computer Science 2020-11-30 Danilo Perico , Paulo E. Santos , Reinaldo Bianchi

In recent years, agents have become capable of communicating seamlessly via natural language and navigating in environments that involve cooperation and competition, a fact that can introduce social dilemmas. Due to the interleaving of…

Artificial Intelligence · Computer Science 2025-01-28 Maayan Orner , Oleg Maksimov , Akiva Kleinerman , Charles Ortiz , Sarit Kraus

In this technical note we consider a class of multi-agent network systems that we refer to as Open Multi-Agent Systems (OMAS): in these multi-agent systems, an indefinite number of agents may join or leave the network at any time. Focusing…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Mauro Franceschelli , Paolo Frasca

Convincing someone of the truth value of a premise requires understanding and articulating the core logical structure of the argument which proves or disproves the premise. Understanding the logical structure of an argument refers to…

Computation and Language · Computer Science 2025-08-21 Krunal Shah , Dan Roth
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