GUO Ping, JI Jinfang, CHEN Haizhu, LIU Ran. Solving All-SAT Problems by P Systems[J]. Chinese Journal of Electronics, 2015, 24(4): 744-749. doi: 10.1049/cje.2015.10.013
Citation: GUO Ping, JI Jinfang, CHEN Haizhu, LIU Ran. Solving All-SAT Problems by P Systems[J]. Chinese Journal of Electronics, 2015, 24(4): 744-749. doi: 10.1049/cje.2015.10.013

Solving All-SAT Problems by P Systems

doi: 10.1049/cje.2015.10.013
Funds:  This work is supported by the National Science Foundation for Young Scholars of China (No.61201347), the Natural Science Foundation Project of CQ CSTC (No.2012jjA40022, No.2011jjA40027, No.2012jjA40011) and the Fundamental Research Funds for the Central Universities (No.CDJZR12180002).
  • Received Date: 2014-03-03
  • Rev Recd Date: 2014-08-11
  • Publish Date: 2015-10-10
  • The satisfiability problem (SAT) is a well known NP-complete problem. Obtaining All of the truth assignments of SAT is called All-SAT and it has numerous applications in artificial intelligence and computer theories. Many algorithms about SAT have been built, but how to solve All-SAT is still difficult. P system is a new distributed and parallel computation model. We use membrane division, which is frequently investigated to obtain an exponential working space in a linear time, to design a family of P systems to solve All-SAT in polynomial time. Our work provides a new and effective solution to All-SAT in a distributed and parallel manner.
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