Mathematical programming: Turing completeness and applications to software analysis

Research output: Contribution to journalArticlepeer-review

Abstract

Mathematical programming is Turing complete, and can be used as a general-purpose declarative language. We present a new constructive proof of this fact, and showcase its usefulness by discussing an application to finding the hardest input of any given program running on a Minsky Register Machine. We also discuss an application of mathematical programming to software verification obtained by relaxing one of the properties of Turing complete languages.

Original languageEnglish
Pages (from-to)82-104
Number of pages23
JournalJournal of Combinatorial Optimization
Volume28
Issue number1
DOIs
Publication statusPublished - 1 Jan 2014

Keywords

  • Abstract interpretation
  • Code verification
  • Static analysis

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