Cofree coalgebras and differential linear logic-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Cofree coalgebras and differential linear logic

Published:2020-04 Issue:4 Volume:30 Page:416-457
ISSN:0960-1295
Container-title:Mathematical Structures in Computer Science
language:en
Short-container-title:Math. Struct. Comp. Sci.

Author:

Clift James,Murfet Daniel^ORCID

Abstract

AbstractWe prove that the semantics of intuitionistic linear logic in vector spaces which uses cofree coalgebras is also a model of differential linear logic, and that the Cartesian closed category of cofree coalgebras is a model of the simply typed differential λ-calculus.

Publisher

Cambridge University Press (CUP)

Subject

Computer Science Applications,Mathematics (miscellaneous)

Reference40 articles.

1. Sweedler, M. (1969). Hopf Algebras, New York, W. A. Benjamin.

2. Hartshorne, R. (1966). Residues and Duality, Lecture Notes in Mathematics, vol. 20, Berlin, Springer-Verlag.

3. Differential interaction nets

4. Murfet, D. (2014). Logic and linear algebra: an introduction, arXiv preprint, [arXiv:1407.2650].

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Cartesian Differential Categories as Skew Enriched Categories;Applied Categorical Structures;2021-06-18

2. Exponential Functions in Cartesian Differential Categories;Applied Categorical Structures;2020-09-24

3. Jets and differential linear logic;Mathematical Structures in Computer Science;2020-09

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP