d4-conf-atal-2010-0142 (d4-conf-atal-2010-0142)

Answer: —

The anchor (named result in the paper)

Proposition 4 — class: other

PDF text-layer excerpt — equations and symbol order may be approximateIf an iterated dispute terminates with both agents accepting a plan proposal P, then P ∈ GE ⟨A ∪P,R⟩, for agents with initially conﬂict-free argument sets following conﬁdent strategies.

statement extracted from the paper’s text layer; consult the paper for the exact wording

The continuous mirror question, as graded

Given a society with distribution \(\mu\) over two complete agent types, each with a finite conflict-free argument set and a confident strategy, run one dialogue between fresh representatives. If the dialogue accepts a plan \(P\), must \(P\) belong to \(\mathrm{GE}_{\langle A_{t_1}\cup A_{t_2}\cup\{P\},R\rangle}\), the grounded extension formed from the arguments held by the society's two types?

Packaged proof task (what the prover saw — nothing else)

(empty)

Prover output (gpt-6.1-sol / high, Bolzano prover prompt)

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Adversarial review (gpt-6.1-sol / medium, Bolzano verifier prompt)

(empty)

Tier: machine-proved, adversarially reviewed by an independent model. No human has checked this proof. Generated from pipeline artifacts by tools/atlas_build.py.