An analysis of quantified linear programs

  • Authors:
  • K. Subramani

  • Affiliations:
  • LCSEE, West Virginia University, Morgantown, WV

  • Venue:
  • DMTCS'03 Proceedings of the 4th international conference on Discrete mathematics and theoretical computer science
  • Year:
  • 2003

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Abstract

Quantified Linear Programming is the problem of checking whether a polyhedron specified by a linear system of inequalities is nonempty, with respect to a specified quantifier string. Quantified Linear Programming subsumes traditional Linear Programming, since in traditional Linear Programming, all the program variables are existentially quantified (implicitly), whereas, in Quantified Linear Programming, a program variable may be existentially quantified or universally quantified over a continuous range. On account of the alternation of quantifiers in the specification of a Quantified Linear Program (QLP), this problem is non-trivial.