! and ? – Storage as tensorial strength
! and ? – Storage as tensorial strength
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! 和 ? – 存储为张量强度
DOI:
10.1017/s0960129500001055
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发表时间:
1996
影响因子:
0.5
通讯作者:
R. Seely
中科院分区:
文献类型:
--
作者:
R. Blute;J. Cockett;R. Seely
We continue our study of the negation-free structure of multiplicative linear logic, as represented by the structure of weakly distributive categories, to consider the ‘exponentials’! and ? in the weakly distributive context. In addition to the usual triple and cotriple structure that one would expect on each of the two operators, there must be some connection between them to replace the de Morgan relationship found in the linear logic context. This turns out to be the notion of tensorial strength. We analyze coherence for this situation, using a modification of the usual nets due to Danos, which is a form suitable for linear logic with exponentials but without negation.