4 resultados para Depew, Chauncey M. (Chauncey Mitchell), 1834-1928.
em Boston University Digital Common
Resumo:
http://www.archive.org/details/insouthernindivi00mitcuoft
Resumo:
http://www.archive.org/details/ourmissionsinind012419mbp
Resumo:
http://www.archive.org/details/missionarypionee00stewrich
Resumo:
Mitchell defined and axiomatized a subtyping relationship (also known as containment, coercibility, or subsumption) over the types of System F (with "→" and "∀"). This subtyping relationship is quite simple and does not involve bounded quantification. Tiuryn and Urzyczyn quite recently proved this subtyping relationship to be undecidable. This paper supplies a new undecidability proof for this subtyping relationship. First, a new syntax-directed axiomatization of the subtyping relationship is defined. Then, this axiomatization is used to prove a reduction from the undecidable problem of semi-unification to subtyping. The undecidability of subtyping implies the undecidability of type checking for System F extended with Mitchell's subtyping, also known as "F plus eta".