Paper Citation Record · LEDGER

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic

As of 18 August 2026, this Paper Citation Record lists 83 of 83 outbound references and 3 inbound Pith citation observations for arXiv:2504.17444.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2504.17444 v2

Coverage vector

measured 83 of 83 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:45:53.339289Z

measured 86 of 86 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:49:10.431274Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

83 of 83 outbound references displayed

verified exact3
verified fuzzy26
unresolved51
parse uncertain1
malformed identifier2
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 60dffa0d-90ca-441a-b7c8-6487638e0dfe · outbound

This paper cites Aho, Catriel Beeri, and Jeffrey D.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Aho, Catriel Beeri, and Jeffrey D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:52.976616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf31dc89-783d-4ada-b72d-882983be2bde · outbound

This paper cites Naumann, and Minh Ngo.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Naumann, and Minh Ngo

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:52.981834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 571a048f-b3c1-4548-8146-b94bd4dd55ec · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:52.991163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7581c864-53b0-44eb-a3f2-3447d1659ad7 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:52.995848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c5d9b22-6837-487f-8947-49598763d11f · outbound

This paper cites Naumann, and Mohammad Nikouei.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Naumann, and Mohammad Nikouei

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.000474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1933ac0-df84-4c23-ab76-70e4415d438f · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.005298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b89d54c-c5b2-4de6-ae73-4e200dd4d2c3 · outbound

This paper cites Identity Management on Blockchain -- Privacy and Security Aspects.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Identity Management on Blockchain -- Privacy and Security Aspects

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.010219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19610312-0bd2-444e-bd20-a9072a64bd46 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.014870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8b4cf95-5289-4831-a1f8-8ecf2ecafd1b · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 9

Resolution: malformed identifier; no resolver link, observed 2026-08-16T10:45:53.019179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1427e7a5-a28b-4676-a297-81dabe4f719c · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 10

Resolution: verified exact; doi, observed 2026-08-16T10:45:53.535487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a2348df3-e4cc-450c-a5ed-5dc4dc01b19b · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.028252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6811c58b-dd36-4d4a-a71f-8a1be6f4719a · outbound

This paper cites Hyper Hoare Logic: (Dis-)Proving Program Hyperproperties (extended version).

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Hyper Hoare Logic: (Dis-)Proving Program Hyperproperties (extended version)

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.032659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 657c7fee-8c97-4a4e-96e6-277a478f5147 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.037347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a1b1d3d-8f12-4442-8c29-8cb20b535ed0 · outbound

This paper cites Zhang, and Benjamin Delaware.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Zhang, and Benjamin Delaware

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.041540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba87c6fe-ecf7-4fb9-9768-8f2fc333f68d · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:55.118736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f4131e51-5c8f-4c9e-b2af-699631048e4f · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.050382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecab6c77-741b-4413-a53e-e86cb2ca5589 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.054737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 830507cd-6ac4-4e82-97f8-c2d747dd30a0 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:55.105150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 172d7e6b-5841-4b2f-b857-c4b551d347d9 · outbound

This paper cites ReLoC Reloaded: A Mechanized Relational Logic for Fine-Grained Concurrency and Logical Atomicity.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic ReLoC Reloaded: A Mechanized Relational Logic for Fine-Grained Concurrency and Logical Atomicity

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:45:54.302164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2a2b830a-7465-472e-8a7e-16fe81092286 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.068421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b108a23e-7272-424f-9b85-e02f62876038 · outbound

This paper cites Lorch, Bryan Parno, Michael Lowell Roberts, Srinath T.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Lorch, Bryan Parno, Michael Lowell Roberts, Srinath T

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.072551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c58d1194-61b1-4f57-a29c-b6cffee1a142 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.076749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56f2b699-076e-4a7b-8f9d-382027cb6d7f · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:55.091144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 31a5a7ff-7683-4389-903a-41ea1db475ad · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.085352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f879f2e-1e87-48bb-8794-045628f7480e · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.089632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f077228e-f40f-4efd-9660-a07a712f98a3 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.094057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a16fb3d-c642-4550-8e18-8d55045d6c23 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:55.076307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 75d4ad6c-5d30-4ece-aee0-fe97411886e8 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.102896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5ee61d7-50d8-4c38-bf68-ef138e76db66 · outbound

This paper cites Rustan M.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Rustan M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:55.061355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d14bf62f-a41f-46d1-91c7-6b349c8ade57 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.111304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 242b1be1-6d73-4aae-85f1-f43b115ee892 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.115383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edd06058-ffd7-4652-99e0-df81cb505bb1 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.119307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b85ea864-496e-4790-876a-a5d431cd6f49 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.123499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9ba2f59-4375-4338-a0a3-5c7e2572ccae · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.127669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9068a978-77c7-459d-b813-1da141dd4873 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.131659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3daef933-5f06-49a8-9405-8d8b14135e3e · outbound

This paper cites Reducing urban traffic congestion due to localized routing decisions.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Reducing urban traffic congestion due to localized routing decisions

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.135666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0758403a-4d5f-46fe-8181-a8d65871cebb · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.139941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0631967-711d-4f39-bd71-883c5b8bfaa6 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:55.037566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7e0410b4-5b0d-4e07-8e92-1fc999774c25 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.152199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 381862bd-54ef-4c56-b3de-ea430c0af36d · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:55.023262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c898f9fa-7914-4d59-9ab9-7d76c8e41e17 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:55.008917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 644d867e-956d-4cb4-86ff-403aaad1933d · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.164883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73a76481-a1fe-4d73-8cad-09254cd7db98 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.169232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28b551ce-82a2-4d18-8fa6-a25f22d72713 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.173423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afe4832e-686c-4bda-99e1-960ba214af5a · outbound

This paper cites Lahiri, and William R.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Lahiri, and William R

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.177531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3f48918-db15-4f2e-850b-7986437542fb · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 46

Resolution: malformed identifier; no resolver link, observed 2026-08-16T10:45:53.181763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e59b913-703f-4d31-8aa2-3819ee2632d4 · outbound

This paper cites QCP: A Practical Separation Logic-based C Program Verification Tool.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic QCP: A Practical Separation Logic-based C Program Verification Tool

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:45:53.593534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5bc3afc9-6b42-455a-a70d-fcf2a9290ec1 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.190395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 571da784-3568-4614-afed-e6aab64d26f6 · outbound

This paper cites Then for any terminating state 𝜎L 2 such that(𝜎L 1,𝜎 L.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Then for any terminating state 𝜎L 2 such that(𝜎L 1,𝜎 L

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.993414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 00ba0d86-f2db-43f4-8854-1f17e00cd20c · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:54.977353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d8aa2d0a-31e0-401a-a2ea-fa8521eb2bbb · outbound

This paper cites Then by Theo.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Then by Theo

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.960992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ac6710d2-68d4-4bdc-9831-7f2491a2e7d3 · outbound

This paper cites □ Theorem 16 (Encoded Assertion Transformation).

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic □ Theorem 16 (Encoded Assertion Transformation)

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.944106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 17ff53e2-3cda-428c-a7df-d4b856fb3507 · outbound

This paper cites Here(𝜎L,𝜎 H,𝑐 H 0)| =⌊𝑃 L⌋∧⌈ 𝑃 H⌉∧[ 𝑐H] is equivalent to𝜎L|=𝑃 L∧𝜎H|= 𝑃 H∧𝑐H 0 =𝑐H.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Here(𝜎L,𝜎 H,𝑐 H 0)| =⌊𝑃 L⌋∧⌈ 𝑃 H⌉∧[ 𝑐H] is equivalent to𝜎L|=𝑃 L∧𝜎H|= 𝑃 H∧𝑐H 0 =𝑐H

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.926201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7f4bcbc6-ff0f-4beb-9414-d63975a3885f · outbound

This paper cites Focus on the encoded postcondition LQ∧[ skip]M𝑋 , it is equivalent to (𝜆𝜎L 2.∃𝜎H 2 .(𝜎L 2,𝜎 H.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Focus on the encoded postcondition LQ∧[ skip]M𝑋 , it is equivalent to (𝜆𝜎L 2.∃𝜎H 2 .(𝜎L 2,𝜎 H

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.910656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cbbe708d-8f2e-4b86-8835-e0ffd613bae2 · outbound

This paper cites Here by definition,𝜎H 2 |= wlp(skip,𝑋) is equivalent to(𝜎H 1,𝜎 H 2)∈ J𝑐HKnrm.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Here by definition,𝜎H 2 |= wlp(skip,𝑋) is equivalent to(𝜎H 1,𝜎 H 2)∈ J𝑐HKnrm

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.894486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e2ece370-996c-4bdb-aa7d-c1bd60516720 · outbound

This paper cites Then there exists 𝜎H 2 such that 𝜎H 2 |= wlp(skip,𝑋)) and 𝜎H 2 |= storePostH(𝑣).

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Then there exists 𝜎H 2 such that 𝜎H 2 |= wlp(skip,𝑋)) and 𝜎H 2 |= storePostH(𝑣)

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.877908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9d9451d0-8a3a-4842-8bc2-2e3ea7befc25 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 59

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:54.861546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1a4f9bcf-e65f-4c9a-9b49-3354fd858ae3 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:54.846331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 09877614-31f0-461b-bf8a-c13ac81679bc · outbound

This paper cites Definition 31 (Relational Contextual Hoare Triples).

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Definition 31 (Relational Contextual Hoare Triples)

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.830563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e65c2fcb-af54-4c05-a787-ec72b43a3398 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:54.814892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8b45cc6f-828e-43cc-9455-7d1c4ec4cd4a · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:54.797422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 17c20522-4014-462e-92d8-36da4b1d0667 · outbound

This paper cites C.1.3 The Encoding Theory and Call Rules.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic C.1.3 The Encoding Theory and Call Rules

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.782035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d62a7609-7c9f-4cd1-8ed1-cef25d00f61a · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 65

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:54.760137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5a03e2f9-f11b-4894-8f78-2a02b35e5769 · outbound

This paper cites Then by Theo.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Then by Theo

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.746544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 87ae8fb5-93af-4ed5-831a-28e812529a8a · outbound

This paper cites According to Valid(𝜒, LΓM), for any 𝜎L 2 such that(𝜎L 1,𝜎 L 2)∈ 𝜒(𝑓), we have𝜎L 2|= LQ(− →𝑎)M𝑋.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic According to Valid(𝜒, LΓM), for any 𝜎L 2 such that(𝜎L 1,𝜎 L 2)∈ 𝜒(𝑓), we have𝜎L 2|= LQ(− →𝑎)M𝑋

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.733090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5cbdae13-25a2-45d8-b052-a4ec2eb601a0 · outbound

This paper cites That is for any 𝜎H 3 such that(𝜎H 2,𝜎 H 3)∈ J𝑐H 2 Knrm, we have(𝜎H 1,𝜎 H 3)∈ J𝑐H 2 Knrm.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic That is for any 𝜎H 3 such that(𝜎H 2,𝜎 H 3)∈ J𝑐H 2 Knrm, we have(𝜎H 1,𝜎 H 3)∈ J𝑐H 2 Knrm

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.719038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bd9079e2-26c5-40e7-b993-bcc218610f5c · outbound

This paper cites □ Theorem 34 (Encoding Relational Contextual Triples).

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic □ Theorem 34 (Encoding Relational Contextual Triples)

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.705448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 78f7f245-13ae-4faf-8c96-da0fa249943e · outbound

This paper cites Then for any terminating state 𝜎L 2 such that(𝜎L 1,𝜎 L 2)∈ J𝑐LK𝜒 nrm, according to relational tripleJ, there exist𝜎H 2 and𝑐H 2 such that (𝜎H 1,𝑐 H.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Then for any terminating state 𝜎L 2 such that(𝜎L 1,𝜎 L 2)∈ J𝑐LK𝜒 nrm, according to relational tripleJ, there exist𝜎H 2 and𝑐H 2 such that (𝜎H 1,𝑐 H

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.691730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bbd7c372-c3a1-4a5e-8486-8804329c8b3c · outbound

This paper cites Then by Theo.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Then by Theo

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.678216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1a30a553-9401-4648-8b8b-0425a2dbe5a8 · outbound

This paper cites □ Subsequently, relational Hoare logic inherits the call rule Hoare-Call in standard Hoare logic.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic □ Subsequently, relational Hoare logic inherits the call rule Hoare-Call in standard Hoare logic

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.665044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ea58d75d-46d6-4e0c-8016-8f7ac70645a9 · outbound

This paper cites Due to the additional error cases in the definitions of standard and relational Hoare triples, the encoding correctness as stated in Theo.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Due to the additional error cases in the definitions of standard and relational Hoare triples, the encoding correctness as stated in Theo

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.651495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4839b4ad-b74c-4a46-8064-0ecc0013dd36 · outbound

This paper cites Then by Theo.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Then by Theo

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.637483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 562f06e0-c1bf-4b7f-ad93-8722d92ea225 · outbound

This paper cites Then, we prove two cases: – error simulation: when𝜎L 1∈ J𝑐LKerr, then𝜎H 1 ∈ J𝑐H 1 Kerr, then this case proved.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Then, we prove two cases: – error simulation: when𝜎L 1∈ J𝑐LKerr, then𝜎H 1 ∈ J𝑐H 1 Kerr, then this case proved

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.623599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation afb668f9-4a88-4176-ae9c-f5d00a7a73a8 · outbound

This paper cites Therefore, we get(𝜎H 1,𝑐 H.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Therefore, we get(𝜎H 1,𝑐 H

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.609031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0aae7347-1d5b-45c0-addf-81087a5375ec · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 77

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:45:54.593370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 60f39f50-9faf-4569-baba-daa914aabe04 · outbound

This paper cites C.3.2 The Encoding Theory.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic C.3.2 The Encoding Theory

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.564019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e7c6e050-babb-417e-a924-8ee1fb37c561 · outbound

This paper cites Then for any terminating state 𝜎L 2 such that (𝜎L 1,𝜎 L 2)∈ J𝑐LKnrm, according to relational tripleJ, there exist𝜎H 2 and𝑐H 2 such that(𝜎H 1 ∪· 𝜎H 𝑓 ,𝑐 H.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Then for any terminating state 𝜎L 2 such that (𝜎L 1,𝜎 L 2)∈ J𝑐LKnrm, according to relational tripleJ, there exist𝜎H 2 and𝑐H 2 such that(𝜎H 1 ∪· 𝜎H 𝑓 ,𝑐 H

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.550244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 30d5a88b-1d10-4e55-a7f5-69d0255f79f7 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 81

Resolution: parse uncertain; raw_fallback, observed 2026-08-16T10:45:54.579296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3ae27a7a-ede3-4a45-aaf2-f703837a4c15 · outbound

This paper cites Then by Theo.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Then by Theo

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.535988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation aa844aad-6b44-45d3-8f6b-f1709fef927b · outbound

This paper cites By unfolding the assertion encoding, there exist𝜎H 2 and𝑐H 2 such that𝜎H 2 ∪·𝜎H 𝑓 |= wlp(𝑐H 2,𝑋) and(𝜎L 2,𝜎 H 2,𝑐 H 2)| =Q.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic By unfolding the assertion encoding, there exist𝜎H 2 and𝑐H 2 such that𝜎H 2 ∪·𝜎H 𝑓 |= wlp(𝑐H 2,𝑋) and(𝜎L 2,𝜎 H 2,𝑐 H 2)| =Q

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.521897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f7776acf-4ba7-4439-9bbd-8644384b58ad · outbound

This paper cites □ D Examples Here we list the examples used in this paper and provide both relational and standard proofs for them.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic □ D Examples Here we list the examples used in this paper and provide both relational and standard proofs for them

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:45:54.507483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b0319b1f-dba5-4890-83c4-df2a85b6ebc9 · outbound

This paper cites In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation (Virtual, Canada) (PLDI 2021).

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation (Virtual, Canada) (PLDI 2021)

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:53.148106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af51d99e-c55b-485c-9ed6-41dbd609c464 · outbound

This paper cites an unresolved cited work.

Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic Unresolved cited work

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-16T10:45:52.986621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 1cc98e22-3e94-4613-8f0d-07e863a2ea01 · inbound

A Formal Framework for Naturally Specifying and Verifying Sequential Algorithms cites this paper.

A Formal Framework for Naturally Specifying and Verifying Sequential Algorithms Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T05:49:10.431274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38ceca70-5855-4ebe-8efb-24ec9e189cf2 · inbound

Forall-Exists Relational Verification by Filtering to Forall-Forall cites this paper.

Forall-Exists Relational Verification by Filtering to Forall-Forall Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-15T16:32:47.178890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ce80c53-0f2b-424e-8ac5-e01dd56c167c · inbound

Combining Axiomatic Models for Refinement Proofs cites this paper.

Combining Axiomatic Models for Refinement Proofs Encode the $\forall\exists$ Relational Hoare Logic into Standard Hoare Logic

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-29T02:23:00.851809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.