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Linear lambda-Calculus and Categorical Models Revisited (1992)
| Citations: | 25 - 0 self |
BibTeX
@MISC{Benton92linearlambda-calculus,
author = {Nick Benton and Gavin Bierman and Valeria De Paiva and Martin Hyland},
title = {Linear lambda-Calculus and Categorical Models Revisited},
year = {1992}
}
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Abstract
this paper we shall consider multiplicative exponential linear logic (MELL), i.e. the fragment which has multiplicative conjunction or tensor,\Omega , linear implication, \Gammaffi, and the logical operator "exponential", !. We recall the rules for MELL in a sequent calculus system in Fig. 1. We use capital Greek letters \Gamma; \Delta for sequences of formulae and A; B for single formulae. The Exchange rule simply allows the permutation of assumptions. The `! rules' have been given names by other authors. ! L\Gamma1 is called Weakening , ! L\Gamma2 Contraction, ! L\Gamma3 Dereliction and (! R ) Promotion
