如何在 Z3_mk_forall_const 中声明常量以用作绑定变量? [英] How to declare constants to use as bound variables in Z3_mk_forall_const?

问题描述

假设我想在以下公式中对 x 和 y 进行普遍量化:

Suppose I want to universally quantify x and y in the following formula:

f(x,y) <=> x=y 

使用 Z3_mk_forall_const .我必须首先构造上面的公式，它需要 Z3_ast 类型的常量 x 和 y.使用 Z3_mk_const 创建 x 和 y 会导致全局声明.理想情况下，我想避免这种情况.有没有替代品?

using Z3_mk_forall_const . I will have to first construct the formula above, which requires constants x and y of type Z3_ast . Using Z3_mk_const to create x and y results in a global declaration. I would ideally like to avoid that. Is there an alternative?

推荐答案

是的，有一个替代方案；您可以使用 Z3_mk_forall 使用 de-Bruijn 变量索引.您可以使用以下方法创建索引变量，而不是常量Z3_mk_bound 然后传递一组它们的排序 (sorts) 和名称 (decl_names) 到 mk_forall 或 mk_exists.

Yes there is an alternative; you can use Z3_mk_forall which uses de-Brujin variable indexes. Instead of constants, you can create indexed variables using Z3_mk_bound and then pass an array of their sorts (sorts) and names (decl_names) to mk_forall or mk_exists.

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