Latest Articles for Logic

A look into how the tangle operator simplifies spatial relationships.

A new logic merges counting and structural properties for better reasoning.

This article discusses biased elementary doctrines and their applications in mathematics and logic.

Analyzing odd and even FL-chains and their mathematical connections.

Explore key ideas of well-foundedness and ordinals within set theory.

This study examines how well language models understand beliefs and intentions.

An overview of guarded extensions and their role in logical frameworks.

Explore the significance of Tarski's relation algebra in logic and computer science.

An overview of arithmetic's relationship with categorical logic and recursive functions.

Examining the nature of independence in mathematical logic through NSOP1 theories.

Learn how LLMs assist students in mastering logic and argumentation.

An introduction to layered modal type theories and their applications in programming.

A new perspective on sequent-style proof systems and their applications.

Discover the features and models of positive logic.

This article discusses an innovative method to translate SUMO-K into higher-order set theory.

Explore the nuances of separation logic and its entailment challenges.

A review of embedded finite models and their implications in logic and computer science.

An overview of composition methods and their significance in finite model theory.

A look at ultraposets and their role in mathematics.

A new tool for reasoning in modal logic with improved capabilities.

Researchers bridge graphs and logic to enhance clarity in logical reasoning.

Learn how four-valued logic improves database accuracy in uncertain scenarios.

A new approach to tackle NP-hard problems using hybrid models.

Exploring the uniqueness theorem and properties of order in mathematical logic.

Two mathematicians use logic to solve a classic integer puzzle.

Examining the complexities of decidability in difference logic with integers and real numbers.

This study extends colimits from one dimension to two, enriching category theory.

Examining the boundary between what we can know and what remains uncertain.

This article details developments in strictly stable theories within model theory.

A look into weights, frames and types that simplify complex mathematical ideas.

A new method for creating logic frameworks using argumentation examples.

Examining the complexities of knowledge among different agents and contexts.

A fresh approach to mathematics using pure data and finite sequences.

A breakdown of bucket elimination and its role in solving satisfiability challenges.

A look into the complexity of linear orderings through Scott sentences.

An overview of Aronszajn trees and their significance in mathematics.

This article explores how bounded epistemic logic models knowledge limitations.

Learn about independence and its importance in mathematical theories through simple examples.

An overview of generalized polymorphisms and their role in Boolean function analysis.

Explore the concept of subalgebra independence and its significance in mathematical systems.