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Boolean_satisfiability_vs_true_literal_counts.png (454 × 469 pixels, file size: 2 KB, MIME type: image/png)

Summary

Description
English: Assuming a boolean formula consisting of 2 clauses á 3 literals, there are 4*4 possibilities of how many literals of the 1st and 2nd clause are made true by a variable assignment. The image shows for each combination (m,n) of true-literal counts whether the formula is unsatisfied (red), 3-satisfied (green), xor-3-satisfied (blue), or/and 1-in-3-satisfied (yellow). The relation 1-in-3-satxor-3-sat3-sat generalizes to formulas of arbitrarily many clauses á 3 literals.
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Author Jochen Burghardt
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Original upload log

Date/Time Dimensions User Comment
27 September 2013, 12:54:49 454 × 469 (6622 bytes) Jochen Burghardt (talk · contribs) {{Information |Description ={{en|1=Assuming a boolean formula consisting of 2 clauses á 3 literals, there are 4*4 possibilities of how many literals of the 1st and 2nd clause are made true by a variable assignment. The image shows for each combina...

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19 September 2013

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current19:52, 24 August 2014Thumbnail for version as of 19:52, 24 August 2014454 × 469 (2 KB)GifTaggerBot: Converting file to superior PNG file. (Source: Boolean_satisfiability_vs_true_literal_counts.gif). This GIF was problematic due to non-greyscale color table.

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