ApCoCoA-1:SAT.ConvertToXOR: Difference between revisions
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New page: <command> <title>SAT.ConvertToXOR</title> <short_description>Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to XOR-CNF. Writes the XOR-CNF to th... |
Andraschko (talk | contribs) m added version info |
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{{Version|1|[[Package sat/SAT.ConvertToXOR]]}} | |||
<command> | <command> | ||
<title>SAT.ConvertToXOR</title> | <title>SAT.ConvertToXOR</title> | ||
<short_description>Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to XOR-CNF. Writes the XOR-CNF to the file sat_xor.cnf | <short_description>Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to XOR-CNF. Writes the XOR-CNF to the file <tt>sat_xor.cnf</tt>. | ||
</short_description> | </short_description> | ||
<syntax> | <syntax> | ||
SAT.ConvertToXOR(SPE:LIST, QStrategy:INT) | SAT.ConvertToXOR(SPE:LIST, QStrategy:INT, CStrategy:INT) | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
This function starts | <em>Note:</em> XOR-CNF files are only applicable with CryptoMiniSat! | ||
<par/> | |||
This function starts an alternative conversion algorithm. | |||
<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>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.ConvertToXOR(SPE,0); | SAT.ConvertToXOR(SPE,0,0); | ||
SAT.LaunchCryptoMiniSat("sat_xor.cnf"); | SAT.LaunchCryptoMiniSat("sat_xor.cnf"); | ||
SAT.GetResult(); | SAT.GetResult(); | ||
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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.ConvertToXOR(SPE,0); | SAT.ConvertToXOR(SPE,0,0); | ||
SAT.LaunchCryptoMiniSat("sat_xor.cnf"); | SAT.LaunchCryptoMiniSat("sat_xor.cnf"); | ||
SAT.GetResult(); | SAT.GetResult(); | ||
| Line 52: | Line 54: | ||
<key>sat.ConvertToXOR</key> | <key>sat.ConvertToXOR</key> | ||
<key>ConvertToXOR</key> | <key>ConvertToXOR</key> | ||
<wiki-category>Package_sat</wiki-category> | <wiki-category>ApCoCoA-1:Package_sat</wiki-category> | ||
</command> | </command> | ||
Latest revision as of 10:31, 2 November 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.ConvertToXOR. |
SAT.ConvertToXOR
Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to XOR-CNF. Writes the XOR-CNF to the file sat_xor.cnf.
Syntax
SAT.ConvertToXOR(SPE:LIST, QStrategy:INT, CStrategy:INT)
Description
Note: XOR-CNF files are only applicable with CryptoMiniSat!
This function starts an alternative conversion algorithm.
@param SPE: A List containing the polynomial equations of the system.
@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.ConvertToXOR(SPE,0,0);
SAT.LaunchCryptoMiniSat("sat_xor.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.ConvertToXOR(SPE,0,0);
SAT.LaunchCryptoMiniSat("sat_xor.cnf");
SAT.GetResult();
--Result: [0,0,1] Test with: Eval(SPE,[0,0,1]);
