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Its line of work

In particular, we show that a random formula of density 4.453 or higher almost surely has no non-trivial "core" assignments.

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 ScienceIn particular, we show that a random formula of density 4.453 or higher almost surely has no non-trivial "core" assignm… extends We show its efficiency in obtaining a jump from the previous upper bounds, lowering them to 4.506. (identified in the literature)We show its efficiency in obtaining a jump from the previous upper bounds, lowering them to 4.506.: unchecked, credence 0.55, stakes 8.6, reliance 1.0We show its…In particular, we show that a random formula of density 4.453 or higher almost surely has no non-trivial "core" assignm…: unchecked, credence 0.55, stakes 5.6In particular, we…

● 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 8.6 the claim it is drawn around

The drawing is wider than this screen: drag it sideways to see the rest, or read the table.

Every claim drawn, as a table
ClaimStatusCheckableCredenceUseStakesRests on
We show its efficiency in obtaining a jump from the previous upper bounds, lowering them to 4.506.○ uncheckedyes0.5508.6—
In particular, we show that a random formula of density 4.453 or higher almost surely has no non-trivial "core" assignm…○ uncheckedyes0.5505.6We show its efficiency in obtaining a jump from the previous upper bounds, lowering them to 4.506.

See its whole group in the network, where it can be filtered and sized.

Step by step

WhereStatusClaimCredence
1 step belowuncheckedWe show its efficiency in obtaining a jump from the previous upper bounds, lowering them to 4.506.this claim extends it, as the citing paper says · human literature · ext:1485decb390ad1480.55
this claimuncheckedIn particular, we show that a random formula of density 4.453 or higher almost surely has no non-trivial "core" assignments.human literature · ext:cda7393d82b228fb0.55

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