A Mechanised Semantics for HOL with Ad-hoc Overloading [article]

Johannes Åman Pohjola, Arve Gengelbach
2020 arXiv   pre-print
Isabelle/HOL augments classical higher-order logic with ad-hoc overloading of constant definitions---that is, one constant may have several definitions for non-overlapping types. In this paper, we present a mechanised proof that HOL with ad-hoc overloading is consistent. All our results have been formalised in the HOL4 theorem prover.
arXiv:2002.10212v2 fatcat:uz7qmnbbc5d2lbv5d2dzc7g5ne