Research

On Structuring Proof Search for First Order Linear Logic


Reference:

Bruscoli, P. and Guglielmi, A., 2006. On Structuring Proof Search for First Order Linear Logic. Theoretical Computer Science, 360 (1-3), pp. 42-76.

Related documents:

This repository does not currently have the full-text of this item.
You may be able to access a copy if URLs are provided below.

Abstract

Full first order linear logic can be presented as an abstract logic programming language in Miller's system Forum, which yields a sensible operational interpretation in the `proof search as computation´ paradigm. However, Forum still has to deal with syntactic details that would normally be ignored by a reasonable operational semantics. In this respect, Forum improves on Gentzen systems for linear logic by restricting the language and the form of inference rules. We further improve on Forum by restricting the class of formulae allowed, in a system we call G-Forum, which is still equivalent to full first order linear logic. The only formulae allowed in G-Forum have the same shape as Forum sequents: the restriction does not diminish expressiveness and makes G-Forum amenable to proof theoretic analysis. G-Forum consists of two (big) inference rules, for which we show a cut elimination procedure. This does not need to appeal to finer detail in formulae and sequents than is provided by G-Forum, thus successfully testing the internal symmetries of our system.

Details

Item Type Articles
CreatorsBruscoli, P.and Guglielmi, A.
DepartmentsFaculty of Science > Computer Science
RefereedYes
StatusPublished
ID Code5365

Export

Actions (login required)

View Item