Phase Semantics for Light Linear Logic (Extended Abstract)
β Scribed by Max I. Kanovich; Mitsuhiro Okada; Andre Scedrov
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 904 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1571-0661
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## 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
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