Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The PPSZ algorithm by Paturi, Pudl\'ak, Saks, and Zane [1998] is the fastest known algorithm for Unique k-SAT, where the input formula does not have more than one satisfying assignment. For k>=5 the same bounds hold for general k-SAT.  show that this is also the case for k=3,4, using a slightly modified PPSZ algorithm.  do the analysis by defining a cost for satisfiable CNF formulas, which  prove to decrease in each PPSZ step by a certain amount. This improves our previous best bounds with Moser and Scheder [2011] for 3-SAT to O(1.308^n) and for 4-SAT to O(1.469^n).
['Timon Hertli']
I am writing a research paper on a idea 3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General
[{"from": "human", "value": "I am writing a research paper on a idea 3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The PPSZ algorithm by Paturi, Pudl\\'ak, Saks, and Zane [1998] is the fastest known algorithm for Unique k-SAT, where the input formula does not have more than one satisfying assignment. For k>=5 the same bounds hold for general k-SAT.  show that this is also the case for k=3,4, using a slightly modified PPSZ algorithm.  do the analysis by defining a cost for satisfiable CNF formulas, which  prove to decrease in each PPSZ step by a certain amount. This improves our previous best bounds with Moser and Scheder [2011] for 3-SAT to O(1.308^n) and for 4-SAT to O(1.469^n)."}]