次指数非结合非交换线性逻辑探索(扩展版)
Explorations in Subexponential non-associative non-commutative Linear Logic (extended version)
AI总结:
该研究在先前引入的带次指数多模态非结合非交换逻辑基础上,参考相关无指数演算提出其经典单侧多后继版本,并证明直觉主义演算可忠实嵌入该经典片段。
摘要:
在先前工作中,我们引入了一种由多模态(称为次指数,授权结构规则的局部应用)扩展的非结合非交换逻辑。本文中我们进一步探索该系统,参考Buszkowski以及de Groote和Lamarche工作中的无指数演算,考虑该系统的经典单侧多后继经典版本,其中直觉主义演算被证明可忠实嵌入到该经典片段中。
英文摘要:
In a previous work we introduced a non-associative non-commutative logic extended by multimodalities, called subexponentials, licensing local application of structural rules. Here, we further explore this system, considering a classical one-sided multi-succedent classical version of the system, following the exponential-free calculi of Buszkowski's and de Groote and Lamarche's works, where the intuitionistic calculus is shown to embed faithfully into the classical fragment.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。