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MD5 7f2e8703 · made 2026-10-16 · NotebookLM infographic · OCR tesseract 5.5.1

The Calculator Fallacy: Moving from Al Promises to Decidable Control
The Calculator Fallacy

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Rioe, 1953

Human-in-the-Loop

A trivial question about a finite operation A question about what a program will do The trace: more than anyone can read

A reliable calculator is evidence about arithmetic, not about agents.

The Self-Reporting Illusion

Current Al governance relies on self-reported software logs & evaluator models.

The placement: one comparison per run

At agent speed, a person can read a placement, not a trace.

Out-of-Band Placement Measurement

Insurable control requires an independent mechanism that reads

execution placement against a pre-declared lane.

2 4 Mathematically Undecidable
“a =] Rice's theorem (1953) proves no procedure
decides non-trivial semantic behavior for
arbitrary software.

? Al Quality Evaluation Is
2
2

Omitted Execution Data TAT
The Data Processing Inequality prevents DIMENSION SECON To SRM
post-hoc log analysis from reconstructing nbc. alert ca all
unrecorded side effects. Ve thi 1" " F
. Is this agent good? Where did work

: Core Question (Undecidable) land?" (Decidable)
Software Guardrails Share — independent
the Failure Domain Meccan Self-taported loge recomputable
Using a secondary LLM to judge an omain 9 commit walk
agelits (og createsia self-referential Excluded under Priced via countable

k loop. ili

fezdBack loop Insurability ISO CG 40 48 crossing rates

GO@OO

detected - placed -
priced - dispatched

RISK >

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Placement Verification Is
Fully Decidable

Checking where work landed against a
pre-deciared lane requires one simple
comparison.

The Four Verbs of
Insurable Autonomy

Lene deviations are detected - placed -
priced - dispatched using independent,
recomputable recelpts.

Transforming Drift into
Countable Risk

Out-of-Band boundary readings convert
unpriceable Knightian uncertainty into
discrete actuarial frequencies.

#A\Governance #RiskManager @y Gemini Notebook