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1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeOct 12th 2015
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexAnother possible target for the HoTT machine: [Independence Friendly Logic](http://plato.stanford.edu/entries/logic-if/). Starting out with an untyped logic, it looks to express independence of quantifiers, e.g., branched quantifiers $$ (\forall x)(\exists y)(\forall z)(\exists w/\forall x) R(x, y, z, w). $$ where $(\exists w/\forall x)$ means that $w$ is independent of $x$. Typing and functions should see to that.

   Another possible target for the HoTT machine: Independence Friendly Logic.

   Starting out with an untyped logic, it looks to express independence of quantifiers, e.g., branched quantifiers

   $$(\forall x)(\exists y)(\forall z)(\exists w/\forall x) R(x, y, z, w).$$

   where $(\exists w/\forall x)$ means that $w$ is independent of $x$. Typing and functions should see to that.