Universal logic Towards a general theory of logics. Poster presented at.pdf

下载文档

6
0
约9.72千字
约 8页
2017-04-09 发布于江苏
举报
版权申诉
保障服务

Universal logic Towards a general theory of logics. Poster presented at.pdf

1、本文档共8页，可阅读全部内容。
2、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。
3、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。

Universal logic Towards a general theory of logics. Poster presented at

ICM 2006 Posters Abstracts Section 01 Logic and Foundations ICM 2006 – Posters. Abstracts. Section 01 Universal logic: towards a general theory of logics Jean-Yves Beziau Swiss National Science Foundation, Institute of Logic, University of Neucha?tel, Neucha?tel, Switzerland jean-yves.beziau@unine.ch 2000 Mathematics Subject Classification. 03B22 Universal logic is not a new logic, but a general theory of logics, considered as mathematical structures, much in the same way that universal algebra is a general theory of algebraic structures. The idea to consider logics in such an abstract way goes back to the work of Tarski on consequence operator at the end of the 1920s and was subsequently developed mainly in Poland by people like Lindenbaum, Los? and Suszko. The increasing number of logical systems created for many different purposes related in particular to artificial intelligence and computer science, has recently turned the development of universal logic a central task for logicians who have tried to give an account of the very notion of logical system [2]; among the various proposals the structuralist approach appears as fundemantal [3]. The main topics of universal logic are: (T1) The study of general tools and concepts that can be used for the study of the different logical sys- tems and the creation of new ones, including logical matrices, labelled de- ductive systems, Kripke structures. (T2) The systematic and synthetic study of some classes of logics such as non monotonic logics, modal logics, substructural logics, paraconsistent logics and many others. (T3) General formulations of fundamental theorems such as completeness, interpolation, cut-elimination, determining their scope of validity and characterizing those essential features which are independent of a given particular logic. The main problems of universal logic are: (P1) The question of identity between logical structures. (P2) A proper definition of translation of a logic into another one (logica