Title: Introduction to Ordered Linear Logic Abstract: Ordered Linear Logic conservatively extends Intuitionistic Linear Logic with ordered hypotheses which are both linear and ordered so that neither weakening, contraction, nor exchange hold for them. The addition of ordered hypotheses allows concise logical specifications of various systems involving simple data structures such as stacks and queues. This talk will introduce and motivate Ordered Linear Logic as a natural progression from Intuitionistic Logic to Intuitionistic Linear Logic to Ordered Linear Logic. Finally, I will show how ordered hypotheses can be used to give an elegant logical specification of the translation between DeBruijn and named lambda terms.