All NP-Problems Can Be Solved in Polynomial Time by Accepting Networks of Splicing Processors of Constant Size

  • Florin Manea
  • Carlos Martín-Vide
  • Victor Mitrana
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4287)


In this paper, we present two new results regarding ANSPs. The first one states that every recursively enumerable language can be accepted by an ANSP of size 7 out of which 6 do not depend on the given language. Then we propose a method for constructing, given an NP-language, an ANSP of size 7 accepting that language in polynomial time. Unlike the previous case, all nodes of this ANSP depend on the given language. Since each ANSP may be viewed as a problem solver as shown in [6], the later result may be interpreted as a method for solving every NP-problem in polynomial time by an ANSP of size 7.


Polynomial Time Turing Machine Mathematical Linguistics Communication Step Input Word 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Florin Manea
    • 1
  • Carlos Martín-Vide
    • 2
  • Victor Mitrana
    • 1
    • 2
  1. 1.Faculty of Mathematics and Computer ScienceUniversity of BucharestBucharestRomania
  2. 2.Research Group in Mathematical LinguisticsRovira i Virgili UniversityTarragonaSpain

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