当前位置: X-MOL 学术arXiv.cs.MS › 论文详情
The Space of Mathematical Software Systems -- A Survey of Paradigmatic Systems
arXiv - CS - Mathematical Software Pub Date : 2020-02-12 , DOI: arxiv-2002.04955
Katja Bercic; Jacques Carette; William M. Farmer; Michael Kohlhase; Dennis Müller; Florian Rabe; Yasmine Sharoda

Mathematical software systems are becoming more and more important in pure and applied mathematics in order to deal with the complexity and scalability issues inherent in mathematics. In the last decades we have seen a cambric explosion of increasingly powerful but also diverging systems. To give researchers a guide to this space of systems, we devise a novel conceptualization of mathematical software that focuses on five aspects: inference covers formal logic and reasoning about mathematical statements via proofs and models, typically with strong emphasis on correctness; computation covers algorithms and software libraries for representing and manipulating mathematical objects, typically with strong emphasis on efficiency; concretization covers generating and maintaining collections of mathematical objects conforming to a certain pattern, typically with strong emphasis on complete enumeration; narration covers describing mathematical contexts and relations, typically with strong emphasis on human readability; finally, organization covers representing mathematical contexts and objects in machine-actionable formal languages, typically with strong emphasis on expressivity and system interoperability. Despite broad agreement that an ideal system would seamlessly integrate all these aspects, research has diversified into families of highly specialized systems focusing on a single aspect and possibly partially integrating others, each with their own communities, challenges, and successes. In this survey, we focus on the commonalities and differences of these systems from the perspective of a future multi-aspect system.
更新日期:2020-02-13

 

全部期刊列表>>
智控未来
聚焦商业经济政治法律
跟Nature、Science文章学绘图
控制与机器人
招募海内外科研人才,上自然官网
隐藏1h前已浏览文章
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
x-mol收录
湖南大学化学化工学院刘松
上海有机所
李旸
南方科技大学
西湖大学
X-MOL
支志明
中山大学化学工程与技术学院
试剂库存
天合科研
down
wechat
bug