A computational interpretation of forcing in type theory
pp. 203-213
in: P. Dybjer, Sten Lindström, Erik Palmgren, Göran Sundholm (eds), Epistemology versus ontology, Berlin, Springer, 2012Abstract
In a previous work, we showed the uniform continuity of definable functionals in intuitionistic type theory as an application of forcing with dependent types. The argument was constructive, and so contains implicitly an algorithm which computes a witness that a given functional is uniformly continuous. We present here such an algorithm, which provides a possible computational interpretation of forcing.