A formula in first-order logic with no free variable occurrences is called a first-order sentence. These are the formulas that will have well-defined truth values under an interpretation.

一阶逻辑 (first order logic,FOL)也叫一阶谓词演算，允许量化陈述的公式，是使用于数学、哲学、语言学及计算机科学中的一种形式系统。

一阶逻辑（First-Order Logic, FOL） 是一种比 命题逻辑 更强大的知识表示语言。 虽然命题逻辑能够展示逻辑、推理和基于知识的智能体的基本概念，但其表达能力有限，难以简洁地描述包含 …

Problem Set Two goes out today. It’s due next Friday at 2:30PM. Explore first-order logic, and expand your proofwriting repertoire. We have some online readings for this problem set. …

Aug 22, 2025 · By building on propositional logic and adding quantifiers and predicates, FOL allows us to express more complex relationships and make decisions based on logical reasoning.

Mar 18, 2024 · 一阶逻辑（First-Order Logic, FOL）是形式逻辑的重要基础，它让我们能以更精确、可计算的方式表达自然语言中的逻辑关系。

The second dialect of logic, first-order logic (FOL), is more expressive than propositional logic and uses objects as its basic components. With first-order logic we can describe relationships …

May 19, 2025 · Stanford Encyclopedia of Philosophy：＂ Classical Logic （页面存档备份，存于 互联网档案馆） -- by Stewart Shapiro. Covers syntax, model theory, and metatheory for first …

Oct 15, 2024 · 我们要注意的是，一阶逻辑不同于单纯的“命题逻辑”（Proposition Logic），因为，一阶逻辑里面使用了大量所谓“限量词变量”（Quantified variables），比如：∃x（意思是存 …

As a result, under First-Order Logic, the set of sentences is satisfied by more than one interpretation. That is, the set of sentences accurately describes more than one arrangement …