Abstract : We provide a characterization of Ko's class of polynomial time computable functions over real numbers. This characterization holds for a stream based language using a parsimonious type discipline, a variant of propositional linear logic. We obtain a first characterization of polynomial time computations over the reals on a higher-order functional language using a linear/affine type system.
https://hal.inria.fr/hal-02499149
Contributor : Romain Péchoux <>
Submitted on : Friday, March 6, 2020 - 9:56:08 AM Last modification on : Tuesday, October 20, 2020 - 1:44:50 PM Long-term archiving on: : Sunday, June 7, 2020 - 1:05:33 PM
Emmanuel Hainry, Damiano Mazza, Romain Péchoux. Polynomial time over the reals with parsimony. FLOPS 2020 - International Symposium on Functional and Logic Programming, Apr 2020, Akita, Japan. ⟨hal-02499149⟩