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Paper Citation Record · LEDGER

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra

As of 16 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 2 inbound Pith citation observations for arXiv:2512.21112.

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

pith.paper-citation-record.v1
2512.21112 v2

Coverage vector

measured 75 of 75 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:18:46.291346Z

measured 77 of 77 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T16:40:03.769171Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T08:50:58.194968Z

Reference resolution

75 of 75 outbound references displayed

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Outbound references

Observation 3b8a7045-36f8-4d62-94e6-bad5482d1dcb · outbound

This paper cites On the amount of information,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra On the amount of information,

Reference 1

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Observation f2cf6e5a-7d75-4e3a-a53f-2fd33394139d · outbound

This paper cites an unresolved cited work.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Unresolved cited work

Reference 2

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Observation d81a74bb-450b-408d-9dd1-b8b64bcba5dd · outbound

This paper cites A new outlook on Shannon’s information measures,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra A new outlook on Shannon’s information measures,

Reference 3

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Observation 13964d48-9291-4503-9664-124787e7bfde · outbound

This paper cites An introduction to partition logic,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra An introduction to partition logic,

Reference 4

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Observation 1f6c7626-e4dc-4312-8419-e6001c7831b5 · outbound

This paper cites Logical information theory: new logical foundations for information theory,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Logical information theory: new logical foundations for information theory,

Reference 5

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Observation f333e028-8296-48c5-9490-a42fde7a8fc4 · outbound

This paper cites Logical entropy: Introduction to classical and quantum logical information theory,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Logical entropy: Introduction to classical and quantum logical information theory,

Reference 6

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Observation 2e90427d-6610-4dd9-b11a-9c0de98f229f · outbound

This paper cites A logarithmic decomposition for information,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra A logarithmic decomposition for information,

Reference 7

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Observation 0f59be03-2b1f-4b72-b64b-525317471e04 · outbound

This paper cites A Poisson decomposition for information and the information-event diagram,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra A Poisson decomposition for information and the information-event diagram,

Reference 8

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Observation d9b14de6-27fe-4ada-a78c-19127913237d · outbound

This paper cites On the capacity of uniform hypergraphs,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra On the capacity of uniform hypergraphs,

Reference 9

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Observation 12f3af48-ff14-48f1-9dfc-ec4fd48c25bc · outbound

This paper cites Entanglement-assisted zero-error communication,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Entanglement-assisted zero-error communication,

Reference 10

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Observation 56923dee-0a0c-44a6-aed2-14fd987d6c86 · outbound

This paper cites Die formalen regeln der intuitionistischen logik,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Die formalen regeln der intuitionistischen logik,

Reference 11

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Observation 88b605f0-8e3d-4f20-a7f5-2933c492137d · outbound

This paper cites Esakia,Heyting Algebras: Duality Theory, ser.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Esakia,Heyting Algebras: Duality Theory, ser

Reference 12

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Observation 222bf0c0-a351-4ed7-831c-3e9cb8746158 · outbound

This paper cites Finite problems,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Finite problems,

Reference 13

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This paper cites Intermediate logics and factors of the Medvedev lattice,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Intermediate logics and factors of the Medvedev lattice,

Reference 14

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This paper cites Network information flow,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Network information flow,

Reference 15

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Observation 9da9a1ff-0d18-4236-a46f-4675ee21128a · outbound

This paper cites an unresolved cited work.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Unresolved cited work

Reference 16

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This paper cites Über die bausteine der mathematischen logik,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Über die bausteine der mathematischen logik,

Reference 17

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This paper cites an unresolved cited work.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Unresolved cited work

Reference 18

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Observation 31513787-2a01-4438-b317-726220799170 · outbound

This paper cites an unresolved cited work.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Unresolved cited work

Reference 19

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Linear network coding,

Reference 20

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Informed-source coding-on-demand (ISCOD) over broadcast channels,

Reference 21

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This paper cites Index coding with side information,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Index coding with side information,

Reference 22

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra On the index coding problem and its relation to network coding and matroid theory,

Reference 23

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This paper cites Noiseless coding of correlated information sources,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Noiseless coding of correlated information sources,

Reference 24

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Source coding for a simple network,

Reference 25

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This paper cites The formulae-as-types notion of construction,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra The formulae-as-types notion of construction,

Reference 26

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Unresolved cited work

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This paper cites New bounds for perfect hashing via information theory,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra New bounds for perfect hashing via information theory,

Reference 28

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This paper cites Graph entropy: a survey,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Graph entropy: a survey,

Reference 29

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Coding of an information source having ambiguous alphabet and the entropy of graphs,

Reference 30

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra A method for the construction of minimum-redundancy codes,

Reference 31

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Strong functional representation lemma and applications to coding theorems,

Reference 32

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This paper cites Discrete layered entropy, conditional compression and a tighter strong functional representation lemma,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Discrete layered entropy, conditional compression and a tighter strong functional representation lemma,

Reference 33

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This paper cites The zero error capacity of a noisy channel,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra The zero error capacity of a noisy channel,

Reference 34

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This paper cites The Shannon capacity of a graph and the independence numbers of its powers,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra The Shannon capacity of a graph and the independence numbers of its powers,

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This paper cites Zero error capacity under list decoding,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Zero error capacity under list decoding,

Reference 36

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Observation dbc0362c-e4b3-453a-bed9-619b9e9b76da · outbound

This paper cites A formulae-as-type notion of control,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra A formulae-as-type notion of control,

Reference 37

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Observation 5275ef8e-b859-43f3-b944-ea6fb8e37015 · outbound

This paper cites Logic of infinite problems and Kripke models on atomic semilattices of sets,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Logic of infinite problems and Kripke models on atomic semilattices of sets,

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Observation d069e337-3b86-45be-9804-5f5b7f5a2a36 · outbound

This paper cites Common information is far less than mutual information,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Common information is far less than mutual information,

Reference 39

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Observation c82dee0f-0a5a-4f18-a8b0-a35770c75e5a · outbound

This paper cites Information lattices and subgroup lattices: Isomorphisms and approximations,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Information lattices and subgroup lattices: Isomorphisms and approximations,

Reference 40

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Observation f30347d5-5a6a-4755-a359-ec56b5c49ce7 · outbound

This paper cites Possible generalization of Boltzmann-Gibbs statistics,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Possible generalization of Boltzmann-Gibbs statistics,

Reference 41

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Observation d31ba857-8faa-42a9-b27d-c87015e8d07d · outbound

This paper cites The common information of two dependent random variables,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra The common information of two dependent random variables,

Reference 42

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Observation 9e6b7502-67d3-470e-b11a-51cad01b0a46 · outbound

This paper cites Exact common information,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Exact common information,

Reference 43

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Observation 9c84be6e-d895-4a83-bc20-54c25ca2b7ba · outbound

This paper cites Extended Gray–Wyner system with complementary causal side information,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Extended Gray–Wyner system with complementary causal side information,

Reference 44

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This paper cites An inequality on guessing and its application to sequential decoding,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra An inequality on guessing and its application to sequential decoding,

Reference 45

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Observation 53450418-d3ed-4703-a2a9-afce08f2324a · outbound

This paper cites Encoding tasks and rényi entropy,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Encoding tasks and rényi entropy,

Reference 46

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This paper cites Semantic information,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Semantic information,

Reference 47

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Observation 737cc83c-fc5b-43ca-8936-cadee860f446 · outbound

This paper cites Towards a Unification of Logic and Information Theory.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Towards a Unification of Logic and Information Theory

Reference 48

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Observation e7e37635-ab90-46b0-9136-be6da91ed88c · outbound

This paper cites Eijck and A.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Eijck and A

Reference 49

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Observation 81f464c9-0bd0-47d1-a2e4-db19b6ac21a4 · outbound

This paper cites On the logic of information flow,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra On the logic of information flow,

Reference 50

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Observation 53648d8a-1a9d-46b0-8bf2-8de5ce7562fe · outbound

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Unresolved cited work

Reference 51

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Observation 0970bfd5-bc95-4de8-868f-fe27b4eabd6a · outbound

This paper cites Symmetric heyting relation algebras with applications to hypergraphs,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Symmetric heyting relation algebras with applications to hypergraphs,

Reference 52

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Observation 2dcf629b-869f-4b15-b0f1-e07acf8d34be · outbound

This paper cites Berger,Rate Distortion Theory: A Mathematical Basis for Data Compression.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Berger,Rate Distortion Theory: A Mathematical Basis for Data Compression

Reference 53

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Observation bad8a599-98ce-4e6b-b5a1-d9442952819f · outbound

This paper cites Relaxations of vertex packing,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Relaxations of vertex packing,

Reference 54

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Observation 6bfe29f4-5c59-436c-897d-e2da3fff3c62 · outbound

This paper cites Entropy splitting for antiblocking corners and perfect graphs,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Entropy splitting for antiblocking corners and perfect graphs,

Reference 55

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Observation 2fb38c30-7f41-4771-ae5e-fc95fadc9b30 · outbound

This paper cites On measures of entropy and information,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra On measures of entropy and information,

Reference 56

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Observation 862ec4fb-c3d6-494e-8bbc-78c4205c063c · outbound

This paper cites Transmission of information,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Transmission of information,

Reference 57

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This paper cites Esakia duals of regular Heyting algebras,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Esakia duals of regular Heyting algebras,

Reference 58

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Observation b171ae2c-186c-4d9a-b6f3-5adc14c21b01 · outbound

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Unresolved cited work

Reference 59

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Observation e07a1765-2ffb-4bdd-9dab-d88d659a5f00 · outbound

This paper cites A propositional calculus with denumerable matrix,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra A propositional calculus with denumerable matrix,

Reference 60

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Observation deba55af-c32d-46ff-b8a4-ff9c1dad80cc · outbound

This paper cites Polynomial codes over certain finite fields,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Polynomial codes over certain finite fields,

Reference 61

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Observation 4c17423a-9632-4ea7-9c48-c955382fb185 · outbound

This paper cites Eine unableitbarkeitsbeweismethode für den intuitionistischen aussagenkalkül,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Eine unableitbarkeitsbeweismethode für den intuitionistischen aussagenkalkül,

Reference 62

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Observation 90205ce7-4db0-41e1-99ed-360d850efe79 · outbound

This paper cites Some results on intermediate constructive logics,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Some results on intermediate constructive logics,

Reference 63

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Observation a8960164-1b03-4c43-826d-194eef3957a1 · outbound

This paper cites An Intermediate Logic Contained in Medvedev's Logic with Disjunction Property.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra An Intermediate Logic Contained in Medvedev's Logic with Disjunction Property

Reference 64

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Observation 61dded3c-ba24-4598-b597-686a1f3f499a · outbound

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Aubin and H

Reference 65

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This paper cites Relative capacity and dimension of graphs,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Relative capacity and dimension of graphs,

Reference 66

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Graph information ratio,

Reference 67

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Observation 484a780b-5a78-4e67-9c3a-312da138cae3 · outbound

This paper cites Computation of channel capacity and rate-distortion functions,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Computation of channel capacity and rate-distortion functions,

Reference 68

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Observation 7f088c3b-88d8-4a15-b056-4c29936e1c4e · outbound

This paper cites An algorithm for computing the capacity of arbitrary discrete memoryless channels,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra An algorithm for computing the capacity of arbitrary discrete memoryless channels,

Reference 69

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Observation 76aeddbf-536e-49ef-bf48-4a6f11bdb670 · outbound

This paper cites The theory of representation for Boolean algebras,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra The theory of representation for Boolean algebras,

Reference 70

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This paper cites On join-dense subsets of certain families of aggregation functions,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra On join-dense subsets of certain families of aggregation functions,

Reference 71

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Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Unresolved cited work

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Observation 0ccfa207-0b23-4b73-8e82-0f9bc99b13f9 · outbound

This paper cites Join-prime elements in semidistributive lattices,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Join-prime elements in semidistributive lattices,

Reference 73

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Observation ec68a28d-cd9e-46a9-b786-f445e3d56cb7 · outbound

This paper cites Channel simulation: Theory and applications to lossy compression and differential privacy,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra Channel simulation: Theory and applications to lossy compression and differential privacy,

Reference 74

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Observation bd50df36-d01f-4a08-9ac4-04e31564b8ac · outbound

This paper cites The proof theory and semantics of intuitionistic modal logic,.

Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra The proof theory and semantics of intuitionistic modal logic,

Reference 75

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Observation 8ec433fe-8cdc-4a63-93d2-2584c43d2a16 · inbound

A Non-Probabilistic Game-Theoretic Information Theory Which Subsumes Probabilistic Channel Coding cites this paper.

A Non-Probabilistic Game-Theoretic Information Theory Which Subsumes Probabilistic Channel Coding Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra

Reference 38

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A Non-Probabilistic Game-Theoretic Information Theory Which Subsumes Probabilistic Channel Coding cites this paper.

A Non-Probabilistic Game-Theoretic Information Theory Which Subsumes Probabilistic Channel Coding Coding-Logic Correspondence: Turning Information and Communication Networks into Logical Formulae via Hypergraph Heyting Algebra

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