Mathematics - Logic

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Logic An Insight into Martin's Conjecture

Explore the classifications and implications of functions in Martin's Conjecture.

2025-10-28T13:43:59+00:00 ― 4 min read

Latest Articles

Logic in Computer Science Connecting Knowledge Tools: Chase Algorithm and Sequent Calculus

Explores the link between the chase algorithm and sequent calculus in query answering.

2025-10-26T11:55:17+00:00 ― 6 min read

Probability Aldous-Hoover Theorem: Insights into Random Variables

Exploring the relationships among exchangeable random variables through the Aldous-Hoover Theorem.

2025-10-26T05:48:15+00:00 ― 6 min read

Category Theory Understanding Implicative Algebras and Their Applications

A look into implicative algebras and their role in logic and computation.

2025-10-25T00:57:57+00:00 ― 4 min read

Logic in Computer Science A Resource-Based Approach to Logic

Exploring intuitionistic multiplicative linear logic and its significance in reasoning.

2025-10-24T21:02:00+00:00 ― 7 min read

Logic Examining Hyperarithmetic Degrees and Martin's Conjecture

A look into hyperarithmetic degrees and their connection to Martin's conjecture.

2025-10-24T11:25:14+00:00 ― 5 min read

Logic Constrained Pseudo-Propositional Logic: A New Approach

CPPL enhances traditional logic by incorporating natural numbers and counting constraints.

2025-10-23T13:08:11+00:00 ― 6 min read

Logic in Computer Science A New Look at Godel-Dummett Logic

This paper unveils a framework for Godel-Dummett logics using nested sequent systems.

2025-10-23T01:20:20+00:00 ― 5 min read

Logic Cyclic Proofs and Inductive Definitions in Mathematics

Exploring the role of cyclic proofs in mathematical reasoning with inductive definitions.

2025-10-22T14:24:55+00:00 ― 6 min read

Logic in Computer Science Formalizing Category Theory and Its Applications

A detailed exploration of formalizing category theory in mathematics.

2025-10-21T17:52:44+00:00 ― 6 min read

Logic Understanding the Marker-Steinhorn Theorem

Examining the significance of the Marker-Steinhorn Theorem in mathematical logic.

2025-10-21T13:30:34+00:00 ― 5 min read

Logic Simplifying Logic: The Role of Quantifier Elimination

An overview of quantifier elimination techniques in model theory.

2025-10-19T08:38:21+00:00 ― 6 min read

Logic Advancements in Set Theory and Cardinal Arithmetic

Examining the role of forcing techniques in set theory.

2025-10-18T21:42:56+00:00 ― 4 min read

Category Theory Understanding Doctrines in Mathematics

An overview of doctrines, their completions, and applications in mathematics.

2025-10-18T16:02:07+00:00 ― 5 min read

Logic A Look into Modal Logic

Discover the nuances of modal logic and its applications.

2025-10-17T23:25:53+00:00 ― 7 min read

General Topology Exploring the Surjection Property and Computable Type in Mathematics

A look at how surjection property and computable type interact in mathematical spaces.

2025-10-17T04:38:34+00:00 ― 5 min read

Logic A New Framework for Distributed Systems

Introducing a structured approach to understanding distributed systems and their communication patterns.

2025-10-15T11:34:12+00:00 ― 5 min read

Logic in Computer Science Insights into Non-Associative Non-Commutative Logic

Exploring the role of subexponentials in modern logical systems.

2025-10-12T03:10:20+00:00 ― 5 min read

Rings and Algebras A Clear Look at MV-Algebras

Simplifying the study of MV-algebras and their properties.

2025-10-11T11:26:32+00:00 ― 5 min read

Logic in Computer Science Understanding the Basics of Proofs

A clear guide to the nature and structure of mathematical proofs.

2025-10-11T09:15:27+00:00 ― 5 min read

Logic Understanding the Bashicu Matrix System

A method for representing large numbers through structured arrays and relationships.

2025-10-10T20:08:57+00:00 ― 4 min read

Logic Two Approaches to Probability: Qualitative vs. Quantitative

A look at qualitative and quantitative methods in understanding probability.

2025-10-10T02:14:04+00:00 ― 6 min read

Logic Generic Theories and Consistency in Modal Logic

This paper examines consistency in modal logic using generic theories.

2025-10-10T00:02:59+00:00 ― 5 min read

Dynamical Systems Groups and Their Actions on Sets

Examining how groups interact with sets and their essential properties.

2025-10-09T18:22:10+00:00 ― 8 min read

General Topology Connecting Mathematical Spaces: A Unified Approach

This article examines key mathematical spaces and their interrelations.

2025-10-09T06:34:19+00:00 ― 5 min read

Logic The Role of Ideals in Mathematical Structures

Explore the concept of ideals and their impact on various mathematical fields.

2025-10-09T06:08:06+00:00 ― 5 min read

Logic Ramsey Cardinals and Galvin's Conjecture Insights

Research links Ramsey cardinals to proven aspects of Galvin's conjecture in set theory.

2025-10-08T17:27:49+00:00 ― 5 min read

History and Overview Rethinking Logic: Problems vs. Propositions

A new approach highlights the significance of problems in mathematical reasoning.

2025-10-08T00:51:35+00:00 ― 4 min read

Logic Nested Sequents in Quantified Modal Logics

This article explores nested sequents and their application in quantified modal logics.

2025-10-07T17:52:07+00:00 ― 6 min read

Logic in Computer Science Understanding Existential Rules and Query Entailment

A look into existential rules and their significance in query entailment.

2025-10-07T05:38:03+00:00 ― 6 min read

Logic Introducing LE-: A New Logic Framework

LE- enhances knowledge representation for complex data handling.

2025-10-07T04:45:37+00:00 ― 6 min read

Logic Understanding Commutative Rings and Their Relations

An overview of commutative rings, unital rings, and their connections.

2025-10-06T07:21:00+00:00 ― 5 min read

Logic An Overview of Choice Principles in Mathematics

Explore the key concepts and importance of choice principles in mathematical theory.

2025-10-06T02:32:37+00:00 ― 5 min read

Logic Examining Tiling Problems and Their Solutions

Explore various aspects of tiling problems in mathematics and computer science.

2025-10-05T21:44:14+00:00 ― 6 min read

Logic NIP Theories: Insights into Mathematical Structures

Exploring the simplicity and predictability of NIP theories in mathematics.

2025-10-05T18:14:30+00:00 ― 7 min read

Computational Complexity New Insights into Discrete Ordinary Differential Equations

A fresh look at functions using discrete ordinary differential equations.

2025-10-05T09:03:57+00:00 ― 5 min read

Logic in Computer Science New Framework for Modal Logic Reasoning

Exploring a layered approach to modal logic and its applications.

2025-10-05T08:37:44+00:00 ― 4 min read

Algebraic Geometry Differentially Large Fields: Concepts and Applications

Explore the importance and impact of differentially large fields in modern mathematics.

2025-10-04T09:54:28+00:00 ― 6 min read

Logic Realizability: Bridging Logic and Computation

A look into how realizability connects mathematics, logic, and computation.

2025-10-03T23:51:29+00:00 ― 4 min read

Logic Cardinal Characteristics in Generalized Baire Spaces

An exploration of cardinal characteristics and their significance in generalized Baire spaces.

2025-10-03T09:26:20+00:00 ― 5 min read

Logic Understanding Ideals in Mathematics

A look into ideals and cardinal numbers in mathematical structures.

2025-10-02T02:51:10+00:00 ― 5 min read