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Experiments in linear natural deduction

✍ Scribed by Simone Martini; Andrea Masini

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
853 KB
Volume
176
Category
Article
ISSN
0304-3975

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✦ Synopsis

We investigate several fragments of multiplicative linear logic, in a natural deduction setting and with the aim of a better understanding of the par connective. We study, first, a pre-tensorial calculus, which is strengthened then in the standard tensorial fragment. The addition of a further pre-tensorial connective yields (a natural deduction version of) Full Intuitionistic Linear Logic. A further strengthening of the rules leads to the full classical multiplicative logic. Some prooftheoretical properties of the systems are investigated.

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