Simple multiplicative proof nets with units
[pdf -
bibtex]
To appear in Annals of Pure and Applied Logic. (Linked version is early draft.)
This paper presents a simple notion of proof net for multiplicative
linear logic with units. Cut elimination is direct and strongly
normalising, in contrast to previous approaches which resorted to
moving jumps (attachments) of par units during normalisation.
Composition in the resulting category of proof nets is simply path
composition: all of the dynamics happens in GoI(Setp), the
geometry-of-interaction construction applied to the category of sets
and partial functions.