Mastodawn

Lean4 proof that SSOT requires definition-time hooks and introspection

#HackerNews #Lean4 #SSOT #proof #definition-time #hooks #introspection #Zenodo

Formal Foundations for the Single Source of Truth Principle

Any system encoding facts faces a fundamental constraint: when multiple independent locations encode the same fact, truth becomes indeterminate. We prove that DOF = 1 (Single Source of Truth) is the unique representation guaranteeing coherence, the impossibility of disagreement among encodings. The Core Theorem (Oracle Arbitrariness). In any incoherent encoding system (DOF > 1 with divergent values), no resolution is principled: for ANY oracle claiming to identify the "true" value, there exists an equally-present value that disagrees. This is not about inconvenience. It is about the determinacy of truth. Programming languages instantiate this epistemic structure: encoding systems become codebases, facts become structural specifications (class existence, method signatures), coherence becomes consistency across encoding locations, and DOF = 1 becomes the Single Source of Truth (DRY principle). Encoding systems → CodebasesFacts → Structural specifications (class existence, method signatures)Coherence → Consistency across encoding locationsDOF = 1 → Single Source of Truth (DRY principle)We prove that achieving DOF = 1 for structural facts requires specific language features: definition-time hooks AND introspectable derivation. Most mainstream languages (Java, C++, Rust, Go, TypeScript, etc.) lack these features and cannot achieve coherence for structural facts regardless of programmer effort. Four Theorems: Coherence Forcing: DOF = 1 is the unique value guaranteeing coherence. DOF = 0 means the fact is unrepresented; DOF > 1 permits incoherent states.Oracle Arbitrariness: Under incoherence, any resolution is arbitrary, no oracle is justified by the encodings alone.Language Requirements: For structural facts in software, DOF = 1 requires definition-time hooks AND introspection. These are logically forced.Strict Dominance: The coherence restoration complexity gap is unbounded: O(1) vs Ω(n).Theoretical Foundation. The derivation theory (independence, derivability, axis collapse) is established in previous work (https://zenodo.org/records/18123532). This paper proves the coherence consequences and instantiates them to programming languages. All theorems machine-checked in Lean 4 (2,104 lines, 119 theorems). Practical demonstration via OpenHCS PR #44: migration from 47 scattered checks to 1 ABC (DOF 47 → 1).

Zenodo

Kpop News Hub 5d ago

Influencer’s Proof Of Sex With Luhan Reignites Cheating Allegations and Guan Xiaotong Break-Up Reports #Allegations #BreakUp #Cheating #Guan #Influencers #Luhan #Proof #Reignites #Reports #Sex #Xiaotong
https://kpopnewshub.com/influencers-proof-of-sex-with-luhan-reignites-cheating-allegations-and-guan-xiaotong-break-up-reports/?fsp_sid=1852

Influencer’s Proof Of Sex With Luhan Reignites Cheating Allegations and Guan Xiaotong Break-Up Reports - KpopNewsHub – Latest K-Pop News, Idols & Korean Entertainment

He was just one of many allegedlt exposed.

Kpop News Hub

Paysages Mathématiques 6d ago

"A mathematical proof should resemble a simple and clear-cut constellation, not a scattered cluster in the Milky Way." – Godfrey Harold Hardy (1877–1947)
#quote #mathematics #proof #maths #math

Yahooey Dec 30

“In the end, a theory that can't be shown to be wrong can never be shown to be right.” — Jerry Coyne, Faith Versus Fact
#BOTD #JerryCoyne #QOTD #Theory #Quotation #Proof #Quote

https://yahooeysblog.wordpress.com/2025/12/30/quote-of-the-day-5385/

Quote of the Day

“In the end, a theory that can’t be shown to be wrong can never be shown to be right.” — Jerry Coyne, Faith Versus Fact

Yahooey's Blog

jnpn Dec 27

use of dafny to formally verify web apps

https://midspiral.com/blog/from-intent-to-proof-dafny-verification-for-web-apps/

#llm #formal #test #proof

From Intent to Proof: Dafny Verification for Web Apps

Verified kernels, written in Dafny and compiled to JavaScript, for correct-by-construction state in interactive web applications

DarkShadow Dec 26

so #Linux is a cylinder

#math #maths #mathematics #proof

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Paul Healey Dec 26

@agreeable_landfall @SteveBellovin And yet Mill was wrong on induction. Proof ground on the uniformity of expectations is spurious. Thomas Hill Green gave a through explanation of why that is so. The failure to comprehend what can be proved likely explains the growth in conservative stupidity. It is simply the false credence in the value of a zero-sum game: grifting the people to believe they can profit from the abstract categories that reinforce the pathologies of hate and violence. #proof #NegativeSumGame

Mr. Bruno

Dec 25

I'm enjoying favorite calls with #MattDillahunty on #TheLine this year. It's fun to see his different versions of facial hair too. Was this the year he went clean-shaved?

#atheism #humanism #logic #proof

https://youtu.be/Gy0nP-OM8_4