A COMPARISON BETWEEN LAMBEK SYNTACTIC CALCULUS ASD INTUITIONISTIC LINEAR PROPOSITIONAL LOGIC by V. MICHELE ABRUSCI in Bari (Italy) ## 1. Synt,ax Let us consider LAMBEK'S syntactic calculus LSC as formulated in BUSZKOWSKI [ Z ] in an axiomatization very close to GEmZEN's sequential formalism. We d
The conjoinability relation in Lambek calculus and linear logic
โ Scribed by Mati Pentus
- Book ID
- 105075830
- Publisher
- Springer Netherlands
- Year
- 1994
- Tongue
- English
- Weight
- 816 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0925-8531
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
## 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
## Abstract We show that derivations in the nonassociative and commutative Lambek calculus with product can be transformed to a normal form as it is the case with derivations in noncommutative calculi. As an application we obtain that the class of languages generated by categorial grammars based on