The Logic of Choice-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

The Logic of Choice

Published:2000-09 Issue:3 Volume:65 Page:1264-1310
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Blass Andreas,Gurevich Yuri

Abstract

AbstractThe choice construct (choosex: φ(x)) is useful in software specifications. We study extensions of first-order logic with the choice construct. We prove some results about Hilbert'sεoperator, but in the main part of the paper we consider the case when all choices are independent.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference27 articles.

1. On computable numbers, with an application to the Entscheidungsproblem;Turing;Proceedings of London Mathematical Society,1936

2. Impossibility of an algorithm for the decision problem on finite classes;Trakhtenbrot;Doklady Akad. Nauk,1950

3. Otto Martin [1998], Epsilon-logic is more expressive than first-order logic over finite structures, to appear.

Cited by 20 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. Herbrand complexity and the epsilon calculus with equality;Archive for Mathematical Logic;2023-07-29

2. Semantics and Proof Theory of the Epsilon Calculus;Logic and Its Applications;2016-12-03

3. Epsilon-invariant substitutions and indefinite descriptions;Logic Journal of IGPL;2013-02-20

4. Hilbert's epsilon as an operator of indefinite committed choice;Journal of Applied Logic;2008-09

5. Successor-invariant first-order logic on finite structures;Journal of Symbolic Logic;2007-06

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