Algorithmic specifications in linear logic with subexponentials - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2009

Algorithmic specifications in linear logic with subexponentials

Abstract

The linear logic exponentials !, ? are not canonical: one can add to linear logic other such operators, say !^l, ?^l, which may or may not allow contraction and weakening, and where l is from some pre-ordered set of labels. We shall call these additional operators subexponentials and use them to assign locations to multisets of formulas within a linear logic programming setting. Treating locations as subexponentials greatly increases the algorithmic expressiveness of logic. To illustrate this new expressiveness, we show that focused proof search can be precisely linked to a simple algorithmic specification language that contains while-loops, conditionals, and insertion into and deletion from multisets. We also give some general conditions for when a focused proof step can be executed in constant time. In addition, we propose a new logical connective that allows for the creation of new subexponentials, thereby further augmenting the algorithmic expressiveness of logic.
No file

Dates and versions

hal-00772332 , version 1 (10-01-2013)

Identifiers

  • HAL Id : hal-00772332 , version 1

Cite

Nigam Vivek, Dale Miller. Algorithmic specifications in linear logic with subexponentials. PPDP09 - ACM SIGPLAN Conference on Principles and Practice of Declarative Programming, Sep 2009, Coimbra, Portugal. ⟨hal-00772332⟩
125 View
0 Download

Share

Gmail Facebook X LinkedIn More