CS 210: Mathematical Logic Notes
FOL Syntax 一阶逻辑(First-Order Logic)句法
- domain :论域
- constants :常量(我觉得理解为“元素”更好)
- variables:变量 用小写字母表示,如 $x,y,z$
- predicate:谓词 表示关系的符号,用大写字母表示,如 $P,Q,R$
- Quantifiers::量词
- Functions:函数符号
FOL as a Formal language
Alphabet
Syntax
Terms(项)
terms are expressions referring to “objects”
- Examples :
Atoms
Atomic formulas refer to properties or relations of objects