Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:58:47.102270Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2506.06716.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:58:47.102270Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 331a1bf0-5755-4874-9565-f1f9d7f925e0 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Mix Barrington, and Huong L ˆeThanh
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5f427349-7eb6-40a7-a846-b489f0278f39 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? A very hard log-space counting class.Theor
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bf8797f0-4419-467c-8320-ca2db6c1016f · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Completeness, approximability and exponential time results for counting problems with easy decision version.Theoretical Computer Science, 915:55–73, 2022
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation da28f84f-5494-4786-af38-dd5e43aa8b8d · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? #NFA admits an FPRAS: efficient enumeration, counting, and uniform generation for logspace classes.J
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7c88139-516f-4bb9-a7b9-25c7e4c0e1c5 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Graph isomorphism is in spp.Information and Computation, 204(5):835–852, 2006
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cc5a09bf-dcbd-4549-aafd-92d34ea9ed3d · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Guest column: A panorama of counting problems the decision version of which is in p3.ACM SIGACT News, 53(3):46–68, 2022
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ba005760-958d-4252-bad1-18abf68bf564 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On the power of counting the total number of computation paths of nptms
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 18ce6e19-c668-4d69-837d-76384fed4fbc · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Characterizations and approximability of hard counting classes below
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1ade1b93-7ab4-46c5-b727-650011e9aa2d · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Counting classes: Thresholds, parity, mods, and fewness
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 641425c3-4c95-4c38-8ca8-1d7856f2bd11 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Spielman
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff3b5354-3413-4585-9120-7b220fd52062 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Handbook of Satisfiability, Second Edition
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4f6cc2f2-eee1-490d-8de5-10fbf5e147cc · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Bodlaender, Paul S
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55a07285-d3b3-4df8-8dfc-ff5bcb4093e5 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Bodlaender and Ton Kloks
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7a9fbd6b-57bb-4932-a21e-6fe4ffbcccaa · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Bodlaender, Arie M
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 902eb0e5-37c9-4c3a-8e54-f787898cd640 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Block interpolation: A framework for tight exponential-time counting complexity.Inf
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4a61bc67-9a7c-494d-a272-7aade4faea27 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Counting mod- els for 2SAT and 3SAT formulae.Theor
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66c9564f-85ac-4fde-94d6-ff528fcb7900 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Exponential Time Complexity of the Permanent and the Tutte Polynomial.ACM Trans
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 052c0c31-f1c9-4a4a-8835-971122702d80 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Subtractive reductions and complete problems for counting complexity classes
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 09c4e352-7901-480e-8c90-c080f9bbc544 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Dyer, Leslie Ann Goldberg, Catherine S
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e3a4db97-3ba0-4466-925f-df115e9fcd47 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Fenner, Lance Fortnow, and Stuart A
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3f3939b-7c2f-457c-8764-f19a56e24674 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The model counting competition 2020.ACM J
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7ccaa7e8-3536-4a97-a90a-fb887e000007 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Counting List Homomorphisms from Graphs of Bounded Treewidth: Tight Complexity Bounds.ACM Trans
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4fdeb848-e27f-4f78-918a-63555bf71c97 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? PP is closed under truth-table reductions.Inf
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a4b2fd8-0b20-4d41-961c-b24971142073 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Synthesis Lectures on Artificial Intelligence and Machine Learning
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 76f4ff12-4b9e-45b4-803b-1f936be5de16 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Almost optimal lower bounds for small depth circuits
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e776f00a-4fec-40c3-91c1-d0fca5f4ebba · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Relations among mod-classes.Theoretical Computer Science, 74(3):325–328, 1990
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 27412ccc-4624-4095-8f1c-47e821c3de6b · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Mix Barrington
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5ad9b98c-10ac-4aff-89ab-d989516420b8 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The complexity of the inertia and some closure properties of gapl
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1b401f31-08b0-4125-8d52-29fc837c0c06 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Nondeterministic space is closed under complemen- tation.SIAM J
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1c279249-f8e1-4533-ab84-8ef2a6e298a0 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On the complexity of k- SAT.Journal of Computer and System Sciences, 62(2):367–375, 2001
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 383d4887-aa71-47af-838c-0551235e5259 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Some (in)translatability results for normal logic pro- grams and propositional theories.J
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7cc11030-a73f-45c4-bd9e-62db51eb02d5 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Picturing counting reductions with the ZH-calculus
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 63bbe88e-2beb-4b68-8d60-9194a4f5cc99 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? A faster fpras for# nfa.Proceedings of the ACM on Management of Data, 2(2):1–22, 2024
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5420c153-4e68-49ef-bb3c-2838607162a5 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On closure properties of #P in the context of PF◦#P.J
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc61abb6-3e63-4193-99b0-571c9781c0b1 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Hemachandra
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6a016b29-e4f4-40f8-b042-4544c6c4a0b9 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The complexity of counting functions with easy decision version
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8852c54e-e552-4fa0-a060-edf3792770ab · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Two remarks on the power of counting
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d1f866cd-6647-43c7-ac10-df3079234f22 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Algorithms for propositional model counting.J
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 78d2f667-e9a6-4ad3-ba9a-b84fc0f18f2d · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? A faster algorithm for propo- sitional model counting parameterized by incidence treewidth
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d15f5e14-efbd-4cf7-892b-0abbdd09e224 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Computational transition at the uniqueness threshold
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 196a81bf-e564-4ff5-8110-46be7c3be6e0 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On closure properties of GapP.Comput
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation db3dd02f-5802-483f-be73-88afad5d06d3 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? PP is as hard as the polynomial-time hierarchy.SIAM J
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c07af07-e898-4fff-bcb7-8190c5a163e2 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7142b327-95e8-4f9c-b7fd-c97b5a96ea09 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d64886f-70e0-4d54-8017-d00dbaf66cfd · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8b636736-45de-4376-a319-872270e53279 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Valiant and Vijay V
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 975ccdfd-0570-46f3-8224-811ff019b10c · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The symmetric rogue modelM ′ ofMis a satisfying assignment ofψ 2
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bccfe671-c821-4fe1-bfcf-0a4eac6301dd · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Definition 36(Symmetric Rogue Model for Monotony)
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 62c0ba63-8993-4528-a934-3b0ba0bc1144 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 520aca3b-76ba-4fa3-8272-98ae2b9e839e · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Lemma 38.Letφbe aCNF,Tbe a fully labeled tree decomposition of it, andMbe a satisfying assignment ofψ ′ 1 that is rogue
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 31a10da0-463b-44c5-87c5-63b1c0dc791d · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? In order to show that(I)M ′ =f(M)is also rogue att ′, lett ⋆ be the node ofTsuch thatMis rogue att ⋆ withM not being rogue at an ancestor oft ⋆
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation aa94e3e6-ab94-4113-865e-021714bdda2d · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? gapP⊆[#2SAT−#2SAT] log
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation eb5413aa-9f9c-48d3-a59c-5ac70cc89d8a · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? ·” to “+
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3413dc1e-427c-4a01-9c44-a4067a3032ef · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? [#0,1-2DNF−#0,1-2DNF] log ⊆[#2DNF− #2DNF] log
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation efb81016-9902-48fd-ad7a-9c48bd07a47a · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Now, it remains to construct formulasα, α ′ such that#(α)− #(α′) =c= (#(ψ 1) + #(ψ′ 2))−(#(ψ 2) + #(ψ′ 1))
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation deda8645-d4ec-4a36-ab28-0663598c01e6 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c49e881e-f173-4179-904c-066aaffec31d · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? [#MON2SAT−#MON2SAT] log ⊆[#MON2DNF− #MON2DNF] log
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c99e3e17-6dab-4032-994a-fab1064bbbdd · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation afc9e1e7-5693-4516-84be-347572e7f089 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? degree3and bipartiteness
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1d29fccd-b54b-4d01-afaf-81e850865382 · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? gapP⊆[#IMPL2SAT] log AC0
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e0baac91-c4d0-467c-a00b-a6b0be0e7b0e · outbound
#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? [#IMPL2SAT] log AC0 = [#0,1-2DNF] log AC0
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
No inbound Pith citation observations are available.