𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Relating Categorical Semantics for Intuitionistic Linear Logic

✍ Scribed by Maria Emilia Maietti; Paola Maneggia; Valeria de Paiva; Eike Ritter


Publisher
Springer
Year
2005
Tongue
English
Weight
388 KB
Volume
13
Category
Article
ISSN
0927-2852

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


THE JUDGEMENT CALCULUS FOR INTUITIONISTI
✍ Silvio Valentini πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 958 KB

## Abstract In this paper we propose a new set of rules for a judgement calculus, i.e. a typed lambda calculus, based on Intuitionistic Linear Logic; these rules ease the problem of defining a suitable mathematical semantics. A proof of the canonical form theorem for this new system is given: it as

Quantales as completions of ordered mono
✍ D. Larchey-Wendling; D. Galmiche πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 939 KB

The aim of this paper is to propose a unified analysis of the relationships between the notions of order and closure and to relate it to different semantics of Intuitionistic Linear Logic (ILL). We study the embedding of ordered monoids into quantales and then we propose general constructions and re

Relating Natural Deduction and Sequent C
✍ Jeff Polakow; Frank Pfenning πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 851 KB

We present a sequent calculus for intuitionistic non-commutative linear logic (INCLL), show that it satisfies cut elimination, and investigate its relationship to a natural deduction system for the logic. We show how normal natural deductions correspond to cut-free derivations, and arbitrary natural

A secondary semantics for Second Order I
✍ Mauro Ferrari; Camillo Fiorentini; Guido Fiorino πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 159 KB

## Abstract In this paper we propose a Kripke‐style semantics for second order intuitionistic propositional logic and we provide a semantical proof of the disjunction and the explicit definability property. Moreover, we provide a tableau calculus which is sound and complete with respect to such a s