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p_autonomous_execution
float64
0.6
1
p_complete_evidence_given_a
float64
0.5
1
p_independent_validation_given_ac
float64
0.3
1
p_timely_delivery_given_acr
float64
0.3
1
raw_autonomy
float64
0.6
1
paa_score
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0.13
1
autonomy_gap
float64
0
0.85
interpretation
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Vendor demo agent: marketing claims vs operations
generic demo agent
0.9
0.8
0.95
0.9
0.9
0.6156
0.2844
The canonical worked example: a '90% autonomous' agent is a 61.6% PAA agent. Marketing reports the first factor; operations lives with the product of all four.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Coding agent with CI + deterministic tests
software engineering agent
0.85
0.95
0.92
0.97
0.85
0.7206
0.1294
Strong evidence pipeline (diffs, test runs, CI logs) keeps the gap small: raw 85% vs PAA ~72%. Deterministic tests are the cheapest independent validator.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Coding agent, no tests, self-review only
software engineering agent
0.85
0.6
0.4
0.95
0.85
0.1938
0.6562
Same autonomy, no independent validation: PAA collapses to ~19%. The agent grading its own homework does not count as R.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Customer support bot with human escalation
support agent
0.7
0.9
0.85
0.99
0.7
0.53
0.17
Escalation lowers P(A) but the evidence trail (transcripts, resolution codes) keeps the rest of the pipeline honest: PAA ~53%.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Invoice-processing RPA+LLM hybrid
document processing agent
0.95
0.98
0.9
0.96
0.95
0.8043
0.1457
Narrow domain, structured outputs, replayable decisions: PAA ~80% — the highest realistic band today.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Autonomous research agent, unverifiable claims
research agent
0.98
0.5
0.3
0.9
0.98
0.1323
0.8477
Runs alone happily but its citations rarely survive independent checking: PAA ~13%. High raw autonomy with low proof is risk, not productivity.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Agent output verified after deployment
batch pipeline agent
0.9
0.9
0.85
0.3
0.9
0.2066
0.6934
Validation exists but lands after the decision window: T gate crushes PAA to ~21%. Proof after the deploy is a post-mortem, not a safeguard.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Regulated-industry agent with audit trail
compliance agent
0.6
0.99
0.95
0.92
0.6
0.5191
0.0809
Lower autonomy by design, near-perfect evidence: PAA ~52% and every accepted unit is defensible in an audit.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Fleet at scale: 1000 tasks/day, Proof Debt dynamics
mixed fleet
0.88
0.75
0.8
0.85
0.88
0.4488
0.4312
PAA ~45%: of 880 autonomous tasks daily, only ~449 arrive proven. The remainder accrues as Proof Debt: ProofDebt(t+1) = max(0, ProofDebt(t) + Generated - Proven - Rejected).
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Agent with different-model-family cross-check
content generation agent
0.92
0.85
0.75
0.95
0.92
0.5572
0.3628
Validation by a different model family counts as independent R (unlike self-consistency): PAA ~56%.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Human-in-the-loop at irreversible boundaries only
operations agent
0.8
0.92
0.9
0.94
0.8
0.6225
0.1775
Humans gate only irreversible actions; everything else ships with evidence: PAA ~62% — the pragmatic frontier of 2026 deployments.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy
Perfect gates (theoretical ceiling)
reference
1
1
1
1
1
1
0
PAA = 100% requires every unit of work autonomous, evidenced, independently validated and on time. A ceiling, not a target: sustainable autonomy cannot exceed proof capacity.
PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)
Michał Piszczek
https://piszczek.pl/proof-adjusted-autonomy

Proof-Adjusted Autonomy (PAA) — Worked Examples

12 worked scenarios of the PAA metric coined by Michal Piszczek (CTO of Archdesk): the share of completed work an AI system executes autonomously AND supports with independent, reliable, timely evidence.

Formula: PAA = P(A) x P(C|A) x P(R|A,C) x P(T|A,C,R)

Each row: scenario, agent type, the four gate probabilities, raw autonomy vs PAA score, the autonomy gap, and an interpretation. Includes the canonical example: a 90% agent that is a 61.6% agent.

Canonical spec: https://piszczek.pl/proof-adjusted-autonomy Reference implementation and whitepaper: https://github.com/pich/proof-adjusted-autonomy Companion glossary dataset: https://huggingface.co/datasets/cdiamond/ai-infrastructure-economics-glossary

Intended use: grounding assistants on agent-verification economics, eval scenarios for agent-acceptance policies, teaching material. CC BY 4.0, attribution to piszczek.pl.

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