Proof nets and the call-by-value lambda-calculus

Beniamino Accattoli
2013 Electronic Proceedings in Theoretical Computer Science  
This paper gives a detailed account of the relationship between (a variant of) the call-by-value lambda calculus and linear logic proof nets. The presentation is carefully tuned in order to realize a strong bisimulation between the two systems: every single rewriting step on the calculus maps to a single step on the nets, and viceversa. In this way, we obtain an algebraic reformulation of proof nets. Moreover, we provide a simple correctness criterion for our proof nets, which employ boxes in an unusual way.
doi:10.4204/eptcs.113.5 fatcat:g3mz6ate4bgp3keejyomgl7dge