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Corpus ID: 2984580

Andrews' Type Theory with Undefinedness

@article{Farmer2014AndrewsTT,
title={Andrews' Type Theory with Undefinedness},
author={W. Farmer},
journal={ArXiv},
year={2014},
volume={abs/1406.7492}
}

${\cal Q}_0$ is an elegant version of Church's type theory formulated and extensively studied by Peter B. Andrews. Like other traditional logics, ${\cal Q}_0$ does not admit undefined terms. The "traditional approach to undefinedness" in mathematical practice is to treat undefined terms as legitimate, nondenoting terms that can be components of meaningful statements. ${\cal Q}^{\rm u}_{0}$ is a modification of Andrews' type theory ${\cal Q}_0$ that directly formalizes the traditional approachâ€¦Â Expand