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Paper Citation Record · LEDGER

Circular Proofs as Session-Typed Processes: A Local Validity Condition

As of 16 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:1908.01909.

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

pith.paper-citation-record.v1
1908.01909 v5

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:12:33.807762Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

  • verified exact1
  • verified fuzzy32
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1268d1a4-09f1-48c2-87d9-04da13245e27 · outbound

This paper cites Least and greatest fixed points in linear logic.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Least and greatest fixed points in linear logic

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.376073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.641644Z digest=sha256:229fa9a4151375abd387ab1b63977a8f6f47e02a0784aad7f9cf273845022d54

Observation a3057ab3-debc-47d5-85cd-5391eaa26d6c · outbound

This paper cites Infinitary proof theory: the multiplicative additive case.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Infinitary proof theory: the multiplicative additive case

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.360513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.646810Z digest=sha256:e9aa203489d4eb63a9a3ea004877fd86f8db86ba91fd0f363e0bcab4a7509011

Observation f5728da5-b629-47aa-9294-2a9a47713937 · outbound

This paper cites Intensional type theory with guarded recursive types qua fixed points on universes.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Intensional type theory with guarded recursive types qua fixed points on universes

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.345116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.652775Z digest=sha256:ce6e9b593accf9e71b7c32f8b7e8cbcbc6fa840cb8cd3bbd1dd9fdf835678121

Observation 86ce1525-d8f6-4d95-8906-1cefcce6cedc · outbound

This paper cites A judgmental analysis of linear logic.

Circular Proofs as Session-Typed Processes: A Local Validity Condition A judgmental analysis of linear logic

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.330264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.658256Z digest=sha256:ada9d5eaf0e53f01f69bc7f26192fa17597f18df32b86d033e1af7c2174f556a

Observation 5d05ca68-4dc0-4f34-bdda-085ff6eedb83 · outbound

This paper cites Session types as intuitionistic linear propositions.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Session types as intuitionistic linear propositions

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.314943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.664693Z digest=sha256:ec0323193d998c220d5ae787846c65c844f508b723b1e7b8bb0d44d285cd27c5

Observation 7fe9dc38-0dc4-468a-95d6-52cad4ba556d · outbound

This paper cites Linear logic propositions as session types.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Linear logic propositions as session types

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.299592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.669599Z digest=sha256:832e4c72d26124e786a5708dea76326e66f659418434ae6467eef923bf6eb6f0

Observation 703e2c97-920a-464e-8db2-53ab972cda67 · outbound

This paper cites Two sides of the same coin: session types and game semantics: a synchronous side and an asynchronous side.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Two sides of the same coin: session types and game semantics: a synchronous side and an asynchronous side

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.284151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.674660Z digest=sha256:68629bce1246d145f02b67015946091c16a61e484618dc59d9238af7956912a1

Observation 2a3c4780-9444-4f2c-873d-cbd9641999c3 · outbound

This paper cites Cut reduction in linear logic as asynchronous session-typed communication.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Cut reduction in linear logic as asynchronous session-typed communication

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.268537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.679525Z digest=sha256:c29c8f3dcc917528070401f5d2603f5d5355e59ba3a60f7e2c4b4b8669860f54

Observation 7aa1d766-63db-4b26-a20c-d5f183e6522c · outbound

This paper cites Subsingleton.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Subsingleton

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.252841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.684077Z digest=sha256:f317f3f7655e77240ccd6f80ca2af90569cbe2f3bedb8b405e3387e2453be0e6

Observation 0e800a2e-c9c9-4228-b384-a5a12541c0e0 · outbound

This paper cites Session-Typed Ordered Logical Specifications.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Session-Typed Ordered Logical Specifications

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.237917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.689531Z digest=sha256:c4115b4d965a079f5af9f28f83d8c6e7d85c1b3c0391f8ed5a9514efc5e96139

Observation 7ef2943e-1a51-43ac-8b57-b44f3732e35d · outbound

This paper cites On the Infinitary Proof Theory of Logics with Fixed Points.

Circular Proofs as Session-Typed Processes: A Local Validity Condition On the Infinitary Proof Theory of Logics with Fixed Points

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.222637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.693735Z digest=sha256:2485e5809bef4ade10e47d44d95d894b3d2b7e7375534034bc843a63c804e898

Observation aa305846-e925-4c4f-9ba2-5440aaf3e5fa · outbound

This paper cites Substructural proofs as automata.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Substructural proofs as automata

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.203855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.698792Z digest=sha256:9fad99d8e5aec05791a96d1edccbe0b9dd30d10dd77e438f43d6b7888878a849

Observation 97dc1a4e-4e15-48d4-99c6-53ae5f4eccbd · outbound

This paper cites Non-wellfounded proof theory for ( K leene+ action) (algebras+ lattices).

Circular Proofs as Session-Typed Processes: A Local Validity Condition Non-wellfounded proof theory for ( K leene+ action) (algebras+ lattices)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.189175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.703844Z digest=sha256:b870eb83ee3edff0d4f75be88a4527a1c4ba089bd28a14e2615c008285237de8

Observation c72ce30e-9a33-46b8-b004-578ceefe7aea · outbound

This paper cites Cuts for circular proofs: Semantics and cut-elimination.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Cuts for circular proofs: Semantics and cut-elimination

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.173863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.708402Z digest=sha256:772ab2f9b55b18f10e5ac05b3936b40a76364fa5e90647310a6690d1e9b64c94

Observation 6aa97466-9690-4260-930f-6f1461f05b12 · outbound

This paper cites Linear logic and lazy computation.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Linear logic and lazy computation

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.159100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.712840Z digest=sha256:cc46d17b5fc1e2ec5fbab7bd18daa02f1489cea16aac2d595b945d4b883313a9

Observation 416f4c23-0993-46c6-842a-7ea74b9b984f · outbound

This paper cites Guarded Recursive Type Theory.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Guarded Recursive Type Theory

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.144144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.717292Z digest=sha256:1e826ae5c556ee2781b2923193131b43385c497f12e7d1efaceba67605d3784b

Observation 723e0424-0ff9-41fb-8398-175444af1396 · outbound

This paper cites Polarized Substructural Session Types.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Polarized Substructural Session Types

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.127991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.721966Z digest=sha256:412f133990ac429b95a07bc82a244c3005a615f1d99323fae0de49c0281e7c56

Observation 2325e615-a1c3-4061-81c1-302a0dfd0110 · outbound

This paper cites Gay and Vasco T.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Gay and Vasco T

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.110876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.726476Z digest=sha256:f2bf2b1f4f36cbd9ecd2062fe7c53bddfffc16ab530e952f613e4f2e8055358c

Observation b59b7357-26aa-492e-a650-8fdf279ac545 · outbound

This paper cites Types for dyadic interaction.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Types for dyadic interaction

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.097188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.730868Z digest=sha256:c2e3a6bf4ccd2cd850212c3e2087b25be4570c460cf56a886dc255eff398e818

Observation e14ed679-2e65-44df-b7a3-3c4c2855e56b · outbound

This paper cites an unresolved cited work.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:12:34.081756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.735591Z digest=sha256:f119d1db30a180fbbea9f6c680ad1f3223b14e3adcdcbaeaaac5d82a8d5208d5

Observation 923de95c-e2f3-47cc-b193-c83afd191795 · outbound

This paper cites Vasconcelos, and Makoto Kubo.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Vasconcelos, and Makoto Kubo

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.067539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.740440Z digest=sha256:e455407e5df408cbc0718d93f52ca35da836c8075e9b94bcff62c138cfd8e3ee

Observation 7f2df184-6744-40a1-a65e-658821f6b93d · outbound

This paper cites Totality for Mixed Inductive and Coinductive Types.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Totality for Mixed Inductive and Coinductive Types

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:12:33.853257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.744976Z digest=sha256:17ba0c94f39a55cf3d6970da374f7a9c3cbfffa634166fbae089e8cc268738fa

Observation 1b7c7016-29e2-4641-8aed-136bb149f2f2 · outbound

This paper cites Free lattices, communication and money games.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Free lattices, communication and money games

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.053347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.749787Z digest=sha256:ed38fe47a3416330f5a1de7f5e3fef6a40a44bc41035b914ed9aaa2d188aa2f6

Observation 33057868-aa7c-4ebe-8df0-8e5346715aae · outbound

This paper cites Around classical and intuitionistic linear logic.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Around classical and intuitionistic linear logic

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.038740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.754848Z digest=sha256:a5c8fb4e31dbea94791506450ad783c2c3298ad25d49e267ee29c42e8cd32b2f

Observation feb7e113-6882-42a1-be91-9b0611ae1f47 · outbound

This paper cites Garrett Morris.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Garrett Morris

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.024255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.759289Z digest=sha256:de3b2bebb193634775cb00b4e06a55411c5fed8fbae4f38a8bd1e6b37435f1db

Observation c235fafc-87e9-44fa-be45-27876385f257 · outbound

This paper cites Local validity for circular proofs in linear logic with fixed points.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Local validity for circular proofs in linear logic with fixed points

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:34.009476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.763533Z digest=sha256:7833d5fb6c34a2250a360be101f1202387b606babbed356e1f69e8618bceba00

Observation fa9f19ed-f54a-4af6-9e1c-e67d7be38184 · outbound

This paper cites Substructural logics.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Substructural logics

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:33.994302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.768738Z digest=sha256:d8494ea9f4b6c71f95de71be5a9143c883162ea5c8f4e1faeb0c0ab187319ffb

Observation 04b43d70-aa14-4f56-9625-bd4ca384c8fe · outbound

This paper cites Local type inference.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Local type inference

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:33.979898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.774144Z digest=sha256:9d4ae6f65bdbc137c779c9c5a94f0326163fb96666c3b20d4a98da14c06e6f7d

Observation c84827c5-bca4-4478-8ae3-1a46cc78737b · outbound

This paper cites an unresolved cited work.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:12:33.964663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.779468Z digest=sha256:1e0ea3f12711d5b2a08f7ac56296a1afd653f426985d4c4ad9169f21ceccb578

Observation 067d4ba6-26ac-4420-a4e6-e312b44505a9 · outbound

This paper cites A calculus of circular proofs and its categorical semantics.

Circular Proofs as Session-Typed Processes: A Local Validity Condition A calculus of circular proofs and its categorical semantics

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:33.949946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.784939Z digest=sha256:b33e9543e695a6fd6de00738543ce1dc497e64078770404faebad0ce8495284e

Observation 4266f04c-5bc7-436e-a0ee-1aa83026c94d · outbound

This paper cites Free -lattices.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Free -lattices

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:33.933381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.789773Z digest=sha256:3723a19a4d36b11fab0b92e945d184f06560428e9f8f34c901f92ae7fcb57b11

Observation 0dc4246b-d1da-4399-9848-7eec90628858 · outbound

This paper cites From parity games to circular proofs.

Circular Proofs as Session-Typed Processes: A Local Validity Condition From parity games to circular proofs

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:33.917248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.794320Z digest=sha256:3a023db015fd9d8a8058d59688fcbdb0f2ad90e6d5b9b1fb9c6d7eba7b15328e

Observation 265013c4-4c5a-4890-be6d-b660a6cb3933 · outbound

This paper cites -bicomplete categories and parity games.

Circular Proofs as Session-Typed Processes: A Local Validity Condition -bicomplete categories and parity games

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:33.901461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.798737Z digest=sha256:d71bd341ad36876f708472555b6cd58a0bbbd530ce1309c52ccf30eae2fababd

Observation e904eb9e-c5d5-4928-98c8-d48b965c64ec · outbound

This paper cites Higher-order processes, functions, and sessions: A monadic integration.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Higher-order processes, functions, and sessions: A monadic integration

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:33.884300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.803136Z digest=sha256:31d884c0fb342353af50e0b687a416d1667c1419c4f45b4274cc509f0bbf3f1f

Observation f3108280-7796-48c5-9166-2986cc2416e0 · outbound

This paper cites Propositions as sessions.

Circular Proofs as Session-Typed Processes: A Local Validity Condition Propositions as sessions

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:12:33.869022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:12:33.807762Z digest=sha256:96fa5f24f4aad42dcd4fd03dc77915db1ea74d0c50e3135d7fb0773177e5b119

Pith citing papers

No inbound Pith citation observations are available.