The complexity of dynamic languages and dynamic optimization problems

  • Authors:
  • James B. Orlin

  • Affiliations:
  • -

  • Venue:
  • STOC '81 Proceedings of the thirteenth annual ACM symposium on Theory of computing
  • Year:
  • 1981

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Abstract

In this paper we offer a unifying framework for dynamic problems in terms of “dynamic languages”, and we discuss the complexity of these languages. In particular, many dynamic languages derived from NP-complete languages can be shown to be polynomial space (P-space) complete. Among these are the following: the dynamic 3-satisfiability problem, and dynamic 3-dimensional matching problem, the dynamic partition problem, the dynamic hamiltonian circuit problem, and the dynamic independent set problem. We provide a general technique for showing how to prove the P-space completeness of dynamic problems derived from NP-complete problems.