Difference between revisions of "ApCoCoA-1:SAT.ConvertToCNF"
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(New page: <command> <title>SAT.ConvertToCNF</title> <short_description>Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to CNF.</short_description> <syntax>...) |
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| + | {{Version|1|[[Package sat/SAT.ConvertToCNF]]}} | ||
<command> | <command> | ||
<title>SAT.ConvertToCNF</title> | <title>SAT.ConvertToCNF</title> | ||
| − | <short_description>Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to CNF.</short_description> | + | <short_description>Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to CNF. Writes the CNF to the file <tt>sat.cnf</tt></short_description> |
<syntax> | <syntax> | ||
| − | SAT.ConvertToCNF(SPE:LIST, CuttingNumber:INT, QStrategy:INT) | + | SAT.ConvertToCNF(SPE:LIST, CuttingNumber:INT, QStrategy:INT, CStrategy:INT) |
</syntax> | </syntax> | ||
<description> | <description> | ||
| Line 10: | Line 11: | ||
<itemize> | <itemize> | ||
<item>@param <em>SPE</em>: A List containing the polynomial equations of the system.</item> | <item>@param <em>SPE</em>: A List containing the polynomial equations of the system.</item> | ||
| − | <item>@param <em>CuttingNumber</em>: | + | <item>@param <em>CuttingNumber</em>: Maximal support-length of the linear polynomials when their corresponding CNF is written to the file. Could be 3 - 6. </item> |
<item>@param <em>QStrategy</em>: Strategy for quadratic substitution. 0 - Standard; 1 - Linear Partner; 2 - Adv. Lin. Partner;</item> | <item>@param <em>QStrategy</em>: Strategy for quadratic substitution. 0 - Standard; 1 - Linear Partner; 2 - Adv. Lin. Partner;</item> | ||
| + | <item>@param <em>CStrategy</em>: Strategy for cubic substitution. 0 - Standard; 1 - Quadratic Partner;</item> | ||
</itemize> | </itemize> | ||
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F3:= x[1]x[2] + x[3]; | F3:= x[1]x[2] + x[3]; | ||
SPE:=[F1,F2,F3]; | SPE:=[F1,F2,F3]; | ||
| − | SAT.ConvertToCNF(SPE,4,0); | + | SAT.ConvertToCNF(SPE,4,0,0); |
SAT.LaunchMiniSat("sat.cnf"); | SAT.LaunchMiniSat("sat.cnf"); | ||
SAT.GetResult(); | SAT.GetResult(); | ||
| Line 34: | Line 36: | ||
F3:=x[1]x[2] + x[2]x[3] + x[2]; | F3:=x[1]x[2] + x[2]x[3] + x[2]; | ||
SPE:=[F1,F2,F3]; | SPE:=[F1,F2,F3]; | ||
| − | SAT.ConvertToCNF(SPE,4,0); | + | SAT.ConvertToCNF(SPE,4,0,0); |
SAT.LaunchMiniSat("sat.cnf"); | SAT.LaunchMiniSat("sat.cnf"); | ||
SAT.GetResult(); | SAT.GetResult(); | ||
| Line 48: | Line 50: | ||
<key>SAT.ConvertToCNF</key> | <key>SAT.ConvertToCNF</key> | ||
| − | |||
<key>ConvertToCNF</key> | <key>ConvertToCNF</key> | ||
| − | <wiki-category>Package_sat</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_sat</wiki-category> |
</command> | </command> | ||
Latest revision as of 13:49, 29 October 2020
| This article is about a function from ApCoCoA-1. If you are looking for the ApCoCoA-2 version of it, see Package sat/SAT.ConvertToCNF. |
SAT.ConvertToCNF
Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to CNF. Writes the CNF to the file sat.cnf
Syntax
SAT.ConvertToCNF(SPE:LIST, CuttingNumber:INT, QStrategy:INT, CStrategy:INT)
Description
This function starts the conversion algorithm.
@param SPE: A List containing the polynomial equations of the system.
@param CuttingNumber: Maximal support-length of the linear polynomials when their corresponding CNF is written to the file. Could be 3 - 6.
@param QStrategy: Strategy for quadratic substitution. 0 - Standard; 1 - Linear Partner; 2 - Adv. Lin. Partner;
@param CStrategy: Strategy for cubic substitution. 0 - Standard; 1 - Quadratic Partner;
Example
-- quadratic system:
Use R::=ZZ/(2)[x[1..3]];
F1:= x[1]x[2] + x[1]x[3] + x[2]x[3] + x[3];
F2:= x[2] + 1;
F3:= x[1]x[2] + x[3];
SPE:=[F1,F2,F3];
SAT.ConvertToCNF(SPE,4,0,0);
SAT.LaunchMiniSat("sat.cnf");
SAT.GetResult();
--Result: [0,1,0] Test with: Eval(SPE,[0,1,0]);
Example
-- cubic system:
Use ZZ/(2)[x[1..3]];
F1:=x[1]x[2]x[3] + x[1]x[2] + x[2]x[3] + x[1] + x[3] +1;
F2:=x[1]x[2]x[3] + x[1]x[2] + x[2]x[3] + x[1] + x[2];
F3:=x[1]x[2] + x[2]x[3] + x[2];
SPE:=[F1,F2,F3];
SAT.ConvertToCNF(SPE,4,0,0);
SAT.LaunchMiniSat("sat.cnf");
SAT.GetResult();
--Result: [0,0,1] Test with: Eval(SPE,[0,0,1]);
