Spartan Daily, March 21, 1979

Volume 72, Issue 34https://scholarworks.sjsu.edu/spartandaily/6462/thumbnail.jp

Spartan Daily, March 21, 1979

Volume 72, Issue 34https://scholarworks.sjsu.edu/spartandaily/6462/thumbnail.jp

Spartan Daily, October 1, 1981

Volume 77, Issue 21https://scholarworks.sjsu.edu/spartandaily/6797/thumbnail.jp

Spartan Daily, March 24, 1980

Volume 74, Issue 37https://scholarworks.sjsu.edu/spartandaily/6604/thumbnail.jp

Spartan Daily, December 8, 1980

Volume 75, Issue 67https://scholarworks.sjsu.edu/spartandaily/6702/thumbnail.jp

Polynomial Time and Dependent Types

We combine dependent types with linear type systems that soundly and completely capture polynomial time computation. We explore two systems for capturing polynomial time: one system that disallows construction of iterable data, and one, based on the LFPL system of Martin Hofmann, that controls construction via a payment method. Both of these are extended to full dependent types via Quantitative Type Theory, allowing for arbitrary computation in types alongside guaranteed polynomial time computation in terms. We prove the soundness of the systems using a realisability technique due to Dal Lago and Hofmann. Our long-term goal is to combine the extensional reasoning of type theory with intensional reasoning about the resources intrinsically consumed by programs. This paper is a step along this path, which we hope will lead both to practical systems for reasoning about programs' resource usage, and to theoretical use as a form of synthetic computational complexity theory

Spartan Daily, October 17, 1980

Volume 75, Issue 34https://scholarworks.sjsu.edu/spartandaily/6670/thumbnail.jp