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The paper is a contribution both to the theoretical foundations and to the actual construction of efficient automatizable proof procedures for non-classical logics. We focus here on the case of finite-valued logics, and exhibit: (i) a…

计算机科学中的逻辑 · 计算机科学 2014-08-19 Carlos Caleiro , João Marcos , Marco Volpe

We develop a modal logic to capture partial awareness. The logic has three building blocks: objects, properties, and concepts. Properties are unary predicates on objects; concepts are Boolean combinations of properties. We take an agent to…

计算机科学中的逻辑 · 计算机科学 2018-11-15 Joseph Y. Halpern , Evan Piermont

Implicit computational complexity, which aims at characterizing complexity classes by machine-independent means, has traditionally been based, on the one hand, on programs and deductive formalisms for free algebras, and on the other hand on…

计算机科学中的逻辑 · 计算机科学 2018-02-12 Daniel Leivant , Jean-Yves Marion

Computability logic is a formal theory of computational tasks and resources. Formulas in it represent interactive computational problems, and "truth" is understood as algorithmic solvability. Interactive computational problems, in turn, are…

计算机科学中的逻辑 · 计算机科学 2011-04-15 Giorgi Japaridze

We present a new approach for reasoning about liveness properties of distributed systems, represented as automata. Our approach is based on simulation relations, and requires reasoning only over finite execution fragments. Current…

计算机科学中的逻辑 · 计算机科学 2008-01-08 Paul C. Attie

Engineering methodologies predominantly revolve around established principles of decomposition and recomposition. These principles involve partitioning inputs and outputs at the component level, ensuring that the properties of individual…

人工智能 · 计算机科学 2025-07-08 Niloofar Shadab , Tyler Cody , Alejandro Salado , Taylan G. Topcu , Mohammad Shadab , Peter Beling

By using the abstract structures investigated in the first Part of this article, we develop a semantics for an epistemic language, which expresses sentences like "Alice knows that Bob does not understand that PI is irrational". One is…

We explore a definition of complexity based on logic functions, which are widely used as compact descriptions of rules in diverse fields of contemporary science. Detailed numerical analysis shows that (i) logic complexity is effective in…

数据分析、统计与概率 · 物理学 2016-03-11 Marco Gherardi , Pietro Rotondo

Despite the obvious advantage of simple life forms capable of fast replication, different levels of cognitive complexity have been achieved by living systems in terms of their potential to cope with environmental uncertainty. Against the…

种群与进化 · 定量生物学 2017-10-18 Luís F Seoane , Ricard Solé

Graph databases are becoming widely successful as data models that allow to effectively represent and process complex relationships among various types of data. As with any other type of data repository, graph databases may suffer from…

数据库 · 计算机科学 2023-07-14 Sergio Abriola , Santiago Cifuentes , María Vanina Martínez , Nina Pardal , Edwin Pin

We introduce a formal definition of Wolfram's notion of computational process based on cellular automata, a physics-like model of computation. There is a natural classification of these processes into decidable, intermediate and complete.…

计算复杂性 · 计算机科学 2009-06-18 Klaus Sutner

Often fairness assumptions need to be made in order to establish liveness properties of distributed systems, but in many situations these lead to false conclusions. This document presents a research agenda aiming at laying the foundations…

计算机科学中的逻辑 · 计算机科学 2017-11-15 Rob van Glabbeek

Logics for resource-bounded agents have been getting more and more attention in recent years since they provide us with more realistic tools for modelling and reasoning about multi-agent systems. While many existing approaches are based on…

计算机科学中的逻辑 · 计算机科学 2024-01-25 Vitaliy Dolgorukov , Rustam Galimullin , Maksim Gladyshev

We introduce a new semantics for a logic of explicit and implicit beliefs based on the concept of multi-agent belief base. Differently from existing Kripke-style semantics for epistemic logic in which the notions of possible world and…

人工智能 · 计算机科学 2018-12-19 Emiliano Lorini

Epistemic analysis of distributed systems is one of the biggest successes among applications of logic in computer science. The reason for that is that agents' actions are necessarily guided by their knowledge. Thus, epistemic modal logic,…

分布式、并行与集群计算 · 计算机科学 2024-07-03 Roman Kuznets

The paper presents a knowledge representation language $\mathcal{A}log$ which extends ASP with aggregates. The goal is to have a language based on simple syntax and clear intuitive and mathematical semantics. We give some properties of…

人工智能 · 计算机科学 2018-08-23 Michael Gelfond , Yuanlin Zhang

The paper presents a knowledge representation language $\mathcal{A}log$ which extends ASP with aggregates. The goal is to have a language based on simple syntax and clear intuitive and mathematical semantics. We give some properties of…

人工智能 · 计算机科学 2020-02-19 Michael Gelfond , Yuanlin Zhang

Any system based on axioms is incomplete because the axioms cannot be proven from the system, just believed. But one system can be less-incomplete than other. Neutrosophy is less-incomplete than many other systems because it contains them.…

综合数学 · 数学 2007-05-23 Carlos Gershenson

Modal logics allow reasoning about various modes of truth: for example, what it means for something to be possibly true, or to know that something is true as opposed to merely believing it. This report describes embeddings of propositional…

计算机科学中的逻辑 · 计算机科学 2022-05-16 John Rushby

Standard models of multi-agent modal logic do not capture the fact that information is often \emph{ambiguous}, and may be interpreted in different ways by different agents. We propose a framework that can model this, and consider different…

人工智能 · 计算机科学 2014-01-10 Joseph Y. Halpern , Willemien Kets