Abstract : We present a proof-theoretic foundation for automated deduction in linear logic. At first, we systematically study the permutability properties of the
inference rules in this logical framework and exploit these to introduce an appropriate notion of forward and backward movement of an inference in a
proof. Then we discuss the naturally-arising question of the redundancy reduction and investigate the definition of the normal proof concept.
We briefly consider some of the issues related to proof construction mechanization in linear logic and to the design of logic programming languages from linear logic fragments.
https://hal.inria.fr/hal-01297755 Contributor : Guy PerrierConnect in order to contact the contributor Submitted on : Monday, April 4, 2016 - 5:42:32 PM Last modification on : Friday, February 4, 2022 - 3:09:30 AM Long-term archiving on: : Monday, November 14, 2016 - 3:59:00 PM