Title
Typing a core binary-field arithmetic in a light logic
Abstract
We design a library for binary-field arithmetic and we supply a core application programming interface (API) completely developed in a formal system we introduce: Typeable Functional Assembly (TFA) which essentially is the system Dual Light Affine Logic (DLAL) introduced by Baillot and Terui and extended with a fix-point formula. TFA is a light type assignment system, in the sense that substructural rules on types of linear logic allow just to type functional programs with polynomial evaluation cost. As a consequence, we show the core of a functional programming setting for binary-field arithmetic with built-in polynomial complexity.
Year
DOI
Venue
2011
10.1007/978-3-642-32495-6_2
FOPARA'11 Proceedings of the Second international conference on Foundational and Practical Aspects of Resource Analysis
Keywords
DocType
Volume
light logic,core application programming interface,binary-field arithmetic,light type assignment system,typeable functional assembly,functional programming,type functional program,polynomial evaluation cost,system dual light affine,core binary-field arithmetic,formal system,built-in polynomial complexity,linear logic,fixed point
Conference
abs/1106.5622
Citations 
PageRank 
References 
2
0.41
15
Authors
3
Name
Order
Citations
PageRank
Emanuele Cesena1375.28
Marco Pedicini26010.43
Luca Roversi318321.03