A Local Correspondence Between Mathematical Languages

This paper establishes a local mathematical correspondence between the algorithmic theory of information developed by A. N. Kolmogorov and Shannon's mathematical theory of information. Rather than proposing a new definition of information, the paper constructs mutually interpretable local representations of the two formalisms without modifying their original mathematical structures.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21771635
Primary Topic
Computability, Logic, AI Algorithms
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

A Local Correspondence Between Mathematical Languages

Vladimir Zaichenko
Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
preprint

A Local Correspondence Between Mathematical Languages

Vladimir Zaichenko
preprint en

Abstract

This paper establishes a local mathematical correspondence between the algorithmic theory of information developed by A. N. Kolmogorov and Shannon's mathematical theory of information. Rather than proposing a new definition of information, the paper constructs mutually interpretable local representations of the two formalisms without modifying their original mathematical structures.

Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.