Odds Law: The Decomposition Algebra On How Intelligence Organizes Itself to Solve Difficult Problems Reliably
We ask a structural question: given unreliable elementary problem-solvers, what organizations of them solve hard problems reliably, and what are the limits? We develop a $decomposition~algebra$: elementary solvers are morphisms in a stochastic category, and four combinators (sequential composition, parallel ensembling, verification gating, and recursive reduction) generate the space of compound solvers. We equip this algebra with two homomorphisms, a $reliability$ valuation into the ordered mono
Record details
Published: 14 June 2026
Source: arXiv
Category: Research
Topics: Regulation · Finance, VC & PE
Retrieved: 14 July 2026
Related evidence
These records share source-supplied organisations, an exact publisher byline, automatic topics or regions. The reason is shown on every link; related does not mean supporting, agreeing with or verifying this record.
Demographic Patterns in Cybersecurity Culture: Insights from a Global Organisation Supporting Safety-Critical and Critical Infrastructure Sectors
arXiv · 12 June 2026
AI Researchers Must Help Lead Arms Control to Mitigate Military AI Risks
arXiv · 10 June 2026
A Practical Recipe Towards Improving Sim-and-Real Correlation for VLA Evaluation
arXiv · 9 June 2026
The Geometry of Refusal: Linear Instability in Safety-Aligned LLMs
arXiv · 21 June 2026
What Intermediate Layers Know: Detecting Jailbreaks from Entropy Dynamics
arXiv · 23 June 2026
Financing Artificial Intelligence Infrastructure: Mapping AI Infrastructure Investment and Compute Governance Across Africa
arXiv · 24 June 2026
How to cite this record
ethics.ai (14 June 2026), “Odds Law: The Decomposition Algebra On How Intelligence Organizes Itself to Solve Difficult Problems Reliably,” evidence record 1008, https://ethics.ai/record/1008 (originally published by arXiv).
Use and limitations
This page is a stable index and citation surface for a source record. ethics.ai did not author the underlying report and has not independently verified every claim. Automatic topics may be imperfect. For consequential use, quote and cite the original publisher.