File:EuDi; dukeli NP 03 10 (~1, 3, ~0, 2).svg

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Image set Studies of Euler diagrams; dukeli NP
part of Studies of Euler diagrams
base diagram
transformed diagram

This is one of 16 · 24 = 384 Euler diagrams of Boolean functions in the same NP equivalence class. Each diagram has a mirrored equivalent describing the same function, so the EC contains only 192 functions.

Each diagram is denoted by a signed permutation of four elements.
The number values correspond to the colors of the four circles.
A negator flips the area from the concave to the convex side of the circle.
(The spiky side of the border denotes the inside of the set.)

0 1 2 3
¬1 3 ¬0 2

The truth table of this function can be found here in row of matrix .

This function also has the mirrored diagram 03 13 (2, ~0, 3, ~1).

The diagrams of the complement are 12 07 (1, 0, ~3, ~2) and 12 16 (~2, ~3, 0, 1).

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Watchduck
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current15:12, 25 January 2023Thumbnail for version as of 15:12, 25 January 2023873 × 626 (70 KB)Watchduckuploaded with Pywikibot

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