#sat #cnf #logic #cnfgen

app cnfgen-nand-opt

Generate CNF for circuits

2 releases

0.1.1 Feb 22, 2023
0.1.0 Oct 22, 2022

#1855 in Math

LGPL-2.1-or-later

23KB
481 lines

cnfgen-nand-opt

This program can generate CNF (Conjunctive Normal Form) to check possibility to build circuit built on NAND or NOR gates that returns given values from table.

WARNING: For some greater examples this program can generates CNF that can excess 1 gigabyte.

This program can read problem from file. If no given file then program read problem from standard input. The format of input is in TOML format:

gate = "Nand"
layers = 5
max_gates = 18
table = [ 6, 62, 11, 17, 26, 47, 53, 35 ]

The gate field is gate type - it can be Nand or Nor. The layers defines number of layers (steps) of calcuation in circuit. The max_gates defines maximal number of gates. The table is table of values that should be returned by circuit.

List of commands:

  • generate - Generate CNF file and print it to standard output.
  • execute - Generate CNF file and pass it to SAT solver, check and print results. The SAT_SOLVER environment variable must be set to path to SAT solver executable.
  • check - Check and print results from SAT output. The SAT output file given as the second argument after command or the first FILE is not given.
  • help - Print help.

Sample output:

Number of gates for layers: [8, 11, 12, 6, 12, 6]
Layer 1:
  (0, 0) 0
  (0, 0) 0
  (0, 2) 2
  (0, 2) 2
....
Output:
  (6, 1) 167
  (6, 2) 168
  (6, 0) 166
  (5, 7) 159

It returns structure of circuit. In the layer listing are gate inputs where the first number in parentheses is number of layer (0 - index input) and number of output.

Dependencies

~1.8–2.4MB
~56K SLoC