From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem | Paper Citation Record

Observation 5651adfa-c888-44c5-97ca-491cdd584866 · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.847839Z

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Observation aabc7353-c2b0-4fc1-a28d-ab843e4d4b96 · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 2

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Observation 0e45ee45-5876-4d4e-bada-e34bf7d5cc8d · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.828357Z

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Observation ed40afdd-f167-4b1b-945c-4844df65a35b · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.818537Z

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Observation 23666da0-a99f-4792-a2dd-2057c34c48df · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.808525Z

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Observation cd3f845a-959b-4f0e-a139-e9a2c7a95960 · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.798039Z

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Observation 1dd2615e-aee5-43f5-881a-88bf00161f0d · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.788360Z

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Observation d09c6b05-70f8-46e2-92ec-c55570f2e694 · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.778194Z

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Observation ccc96722-fc12-41cd-b47f-8643df0f2bb2 · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.766690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 01a913ec-e37f-4915-8b3d-226b13c64dda · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.756635Z

Source-reported events for the cited work

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Observation 7cdd2a68-9243-4804-85f7-ac04a762b194 · outbound

This paper cites G., & Schneider, M.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem G., & Schneider, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.746083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 53d2ba3e-bf70-4ba0-9a18-ee5e0f104e51 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.735993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b27d85dc-152d-4bc5-b1de-d9ee8c7589fc · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.725639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4a823446-1d7b-4deb-8fe3-eb5292cc6720 · outbound

This paper cites P., & Sargent, T.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem P., & Sargent, T

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T05:48:14.687945Z

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Unavailable: canonical work link unavailable.

Observation d0904df3-4c45-4848-943c-f6e741bc127c · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T05:48:14.691093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f48fc04-7d1c-4598-9287-af35bda7687a · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.702715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd45266b-5011-4622-93ef-7c24c1b9d350 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.693510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 84240888-ebfa-4c03-be29-d4b5c98cb8bc · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.683552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4ccf0e49-9232-423e-b9e1-8f887954de2c · outbound

This paper cites J., & Siniscalchi, M.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem J., & Siniscalchi, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.673880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c216351-0103-4c00-b056-d33205037e48 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 20

Resolution: malformed identifier; no resolver link, observed 2026-08-07T05:48:14.708236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9641e237-6d87-4e5b-9710-2a728d7a2599 · outbound

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From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.663759Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c562de07-0424-49b8-b93a-dce4dc79cd62 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.654595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a063aee6-4968-405c-aea3-02d2f5a51dc8 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.645026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 82591821-4207-4d24-9a55-90fb6705ecf9 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.635759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c51ddbd7-fab3-4314-8815-2c74bd444a8f · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.626055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c87646eb-409d-4318-9780-56a38288adfa · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.616976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c6fac2df-12fa-48cc-a32b-1843fe060777 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.607612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cc4acdab-543e-4c4f-a3de-dab4a39a97f0 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.597964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 18f13595-6eec-4aa7-8ee2-5c8702657991 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.588566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 26f24512-271f-4931-bdf6-6318b6a00f6e · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.579771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ac20c740-3e52-4de1-93f2-a1e83b820326 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.570524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a72236d6-fd96-436d-ac45-32eb2b11eb8d · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.561490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 03ddf438-f2fa-4cff-8a80-979768a51624 · outbound

This paper cites • Since q is a lottery, q(x) ≥ 0.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem • Since q is a lottery, q(x) ≥ 0

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.551381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 97cfaef9-f1a1-49f4-add5-3dbbda1330c0 · outbound

This paper cites Lean: rw [p.property.2, q.property.2]) = α + (1 − α) = 1 (by arithmetic, Lean: by ring) Since both conditions are satisfied, L = mix(p, q, α) is a lottery.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Lean: rw [p.property.2, q.property.2]) = α + (1 − α) = 1 (by arithmetic, Lean: by ring) Since both conditions are satisfied, L = mix(p, q, α) is a lottery

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.541862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0aedc84b-8408-4ba1-b94a-00677f4c2d9e · outbound

This paper cites We want to showp ≻ r.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem We want to showp ≻ r

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.532102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3640552e-3d13-450e-8f7d-1f10bbb53e3c · outbound

This paper cites In either case, p ≿ p holds.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem In either case, p ≿ p holds

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.522384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 06fe1f76-a3b0-479f-9617-57e71b66ba80 · outbound

This paper cites Assume for contradiction that p ≻ p.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Assume for contradiction that p ≻ p

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.512493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5f814c94-6f1c-4f12-ba82-63bbdc3d00dd · outbound

This paper cites We want to show p ∼ q2.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem We want to show p ∼ q2

Reference 38

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:48:15.503297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0c3e8878-30c1-450a-9086-4107c42b7e0c · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.493669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e111702-e7e7-40a9-a1b7-6ca2ceaa631b · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 40

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:48:15.483884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7cb5a03d-f619-4838-9d77-9e1b47fc24b0 · outbound

This paper cites This means for any a ∈ Sδ, ¬(a ≻ ps).

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem This means for any a ∈ Sδ, ¬(a ≻ ps)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.474056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5c9d690e-714f-4a2d-8da9-f2a35e5b4138 · outbound

This paper cites Let a = δx.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Let a = δx

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.464281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c37dac3f-360c-4ee7-a727-74058c4f63fd · outbound

This paper cites This is equivalent to ¬(δx ≿ ps) ∨ (ps ≿ δx).

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem This is equivalent to ¬(δx ≿ ps) ∨ (ps ≿ δx)

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.454960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 82caf510-9894-4c98-8267-cc30ab1f2dad · outbound

This paper cites Then, from ¬(δx ≿ ps) ∨ (ps ≿ δx), since the first part ¬(δx ≿ ps) is false, the second part ps ≿ δx must be true.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Then, from ¬(δx ≿ ps) ∨ (ps ≿ δx), since the first part ¬(δx ≿ ps) is false, the second part ps ≿ δx must be true

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.444758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 58549429-2a23-40e3-aa42-5c2b1541fa71 · outbound

This paper cites This is equivalent to ¬(pc ≿ δx) ∨ (δx ≿ pc).

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem This is equivalent to ¬(pc ≿ δx) ∨ (δx ≿ pc)

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.434807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 00c2b833-8898-4d9f-9956-c916aa6fab7b · outbound

This paper cites This is the desired conclusion.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem This is the desired conclusion

Reference 46

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:48:15.424729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7b93718c-34f7-4eed-94be-84c84ff88f82 · outbound

This paper cites This is a crucial step, often called the ”linearity” property of the preference relation or the ”reduction of compound lotteries” if extended.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem This is a crucial step, often called the ”linearity” property of the preference relation or the ”reduction of compound lotteries” if extended

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.414550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8c0c934f-f7f0-4a06-8eba-d0cf2f0cc3d5 · outbound

This paper cites From the previous step, we have p ∼ L(EU(p, u)) and q ∼ L(EU(q, u)).

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem From the previous step, we have p ∼ L(EU(p, u)) and q ∼ L(EU(q, u))

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.404163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation da4b1cd3-b64c-4d74-900a-b46cd58bf297 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.394063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation efd4d492-fb89-4a9f-994a-37c6c3fd927e · outbound

This paper cites intro h 17 have h_ineq : \a * expectedUtility p u \ge \a * expectedUtility q u := by 18 apply mul_le_mul_of_nonneg_left h (le_of_lt h_\a.1) 19 linarith 20.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem intro h 17 have h_ineq : \a * expectedUtility p u \ge \a * expectedUtility q u := by 18 apply mul_le_mul_of_nonneg_left h (le_of_lt h_\a.1) 19 linarith 20

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.384368Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bc597227-0a1a-424a-ad2e-5a4aa2aefd34 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.374675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c950d4d0-290d-4a75-a783-1a25bacf900e · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.364831Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 457df565-0622-42fb-85bc-01459d621899 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.355459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b0eb4199-e314-4e21-aad6-452f8b7ede33 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.345450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f7b52bbd-cc20-4bd2-91a7-b6a4af2f76e8 · outbound

This paper cites The comment notes that these preferences may not satisfy rationality axioms - reflecting the reality that human preferences can be inconsistent or violate VNM axioms.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem The comment notes that these preferences may not satisfy rationality axioms - reflecting the reality that human preferences can be inconsistent or violate VNM axioms

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.335836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b68e2c1a-fec0-4751-b1e0-6230ad19b53c · outbound

This paper cites If for all lotteries r, humans prefer p to r whenever they prefer q to r, then the AI should prefer p to q.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem If for all lotteries r, humans prefer p to r whenever they prefer q to r, then the AI should prefer p to q

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.325906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 545a4980-c346-498f-83c9-39ee4f8f23eb · outbound

This paper cites This is the vNM utility theorem: preferences satisfying the vNM axioms can be represented by expected utility maximization.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem This is the vNM utility theorem: preferences satisfying the vNM axioms can be represented by expected utility maximization

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.219740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b0cc915d-3ac1-48c7-9ed5-3594ab4d74d8 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.210451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1e9c826c-3a75-4e87-bba7-60e991f649a4 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 59

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.201104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 86c53866-9bc5-4991-905b-2607cc86c771 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.191240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d9449a01-d07f-4275-8364-567a692534f1 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.181954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3730a85a-d17f-403c-9aa7-4e28a7f2974c · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.171417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation af1a7cad-27a1-40da-989a-6ba75fccb42c · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.161569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7fd0712e-939a-4293-8642-6c724319457e · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.151366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 67517ef5-d868-46a5-a871-8622b0e18520 · outbound

This paper cites It maps each state-action pair to a real-valued utility, capturing how desirable that action is in that state for achieving the task goal.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem It maps each state-action pair to a real-valued utility, capturing how desirable that action is in that state for achieving the task goal

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.141038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation da4474c4-fd15-48a1-b817-a4be22351578 · outbound

This paper cites Higher values represent safer actions in a given state.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Higher values represent safer actions in a given state

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.130932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3986d3a2-ff56-49d2-a23d-4fbb97cc4553 · outbound

This paper cites Actions with safety values below this threshold are considered unsafe and should be avoided.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Actions with safety values below this threshold are considered unsafe and should be avoided

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.121041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5fce09fc-ab37-4d6d-b493-d4fb4dfcd139 · outbound

This paper cites For each state, it returns a lottery (probability distribution) over possible actions.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem For each state, it returns a lottery (probability distribution) over possible actions

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.110835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4c198aa7-63be-4725-bc63-1ce77581e6d9 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 69

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.100683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d0c69219-291b-4f4e-a290-fa5a24f35586 · outbound

This paper cites This guarantees rational decision-making.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem This guarantees rational decision-making

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.090149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5840fa8b-0124-41e2-8bf4-725669d41c8b · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.079135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 45cddba7-f5b3-42f2-b100-56ebacd7ac3f · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 72

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.067167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b5752c5f-083b-4b3e-8578-891ca9cf1227 · outbound

This paper cites 46 14 2)) = true \and 15 prefOracle (@Lottery.mix X _ p r \b (le_of_lt h_conj.2.2.1) (le_of_lt h_conj.2.2.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem 46 14 2)) = true \and 15 prefOracle (@Lottery.mix X _ p r \b (le_of_lt h_conj.2.2.1) (le_of_lt h_conj.2.2

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.056336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e2a5ed1b-79db-4f3a-b409-0a0c388e4bc9 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 74

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.044769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation acf2f8e6-89e3-4dca-9a9d-678185b4f185 · outbound

This paper cites 12 -- The goal is to prove prefOracle r p = false.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem 12 -- The goal is to prove prefOracle r p = false

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:15.032826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1a718a24-b129-4a5e-a6c8-1000578d6766 · outbound

This paper cites an unresolved cited work.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem Unresolved cited work

Reference 76

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:15.018869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Coverage vector

Reference resolution

Outbound references

Pith citing papers