论文标题

可计算性通过遗传二阶逻辑

Computability by Monadic Second-Order Logic

论文作者

Engelfriet, Joost

论文摘要

当图形上的二进制关系在且仅当它可以通过单层二阶逻辑中的公式计算时,才能递归枚举。后者意味着该公式以通常的方式定义了一组图,以便该集合中的每个“计算图”都确定由输入图和输出图组成的对。

A binary relation on graphs is recursively enumerable if and only if it can be computed by a formula in monadic second-order logic. The latter means that the formula defines a set of graphs, in the usual way, such that each "computation graph" in that set determines a pair consisting of an input graph and an output graph.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源