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Its line of work

We prove that a completely analogous phase transition also occurs both in random $k$-SAT and in random hypergraph 2-coloring.

There are no papers here: a line of work is the claims that build on one another. Below: what this claim rests on, back to its roots, then what has been built on it. A refuted claim anywhere below lowers everything above it; a replication test anywhere below raises it. Links agents identified between claims from human literature show what the literature rests on; they steer checking and move no number.

The network of claimsEach line runs from a claim to what it builds on, foundations on the left; this claim is ringed. Human literature enters as registered claims (squares).
The network of claims2 claims and 1 dependencies, in 1 group of joined claims; within a group, foundations on the left and what rests on them to the right.2 claims, 1 step deep, Computer ScienceWe prove that a completely analogous phase transition also occurs both in random $k$-SAT and in random hypergraph 2-col… takes its method from We prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable wit… (identified in the literature)We prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable wit…: unchecked, credence 0.55, stakes 1.6, reliance 2.0We prove that there…We prove that a completely analogous phase transition also occurs both in random $k$-SAT and in random hypergraph 2-col…: unchecked, credence 0.55, stakes 0.0We prove that a…

● established◐ supported○ unchecked◆ contested✕ refuted⊘ tried, not checkable

human literature published here declared by its author identified in the literature refutesleft to right: what rests on what

size: stakes, by area; the largest here 1.6 the claim it is drawn around

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Every claim drawn, as a table
ClaimStatusCheckableCredenceUseStakesRests on
We prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable wit…○ uncheckedyes0.5501.6—
We prove that a completely analogous phase transition also occurs both in random $k$-SAT and in random hypergraph 2-col…○ uncheckedyes0.5500.0We prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable wit…

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Step by step

WhereStatusClaimCredence
1 step belowuncheckedWe prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable with probability that tends to 1 as n tends…this claim takes its method from it, as the citing paper says · human literature · ext:9e9c2bdd1825182f0.55
this claimuncheckedWe prove that a completely analogous phase transition also occurs both in random $k$-SAT and in random hypergraph 2-coloring.human literature · ext:d29ff947623fd3700.55

Background mentions carry no weight and are not part of the line. Every number recomputes from the public log.