Semi-decidability of May, Must and Probabilistic Testing in a Higher-type Setting

  • Authors:
  • Martín Escardó

  • Affiliations:
  • School of Computer Science, University of Birmingham, UK

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2009

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Abstract

We show that, in a fairly general setting including higher-types, may, must and probabilistic testing are semi-decidable. The case of must testing is perhaps surprising, as its mathematical definition involves universal quantification over the infinity of possible outcomes of a non-deterministic program. The other two involve existential quantification and integration. We also perform first steps towards the semi-decidability of similar tests under the simultaneous presence of non-deterministic and probabilistic choice.