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CS 210: Mathematical Logic Notes

FOL Syntax 一阶逻辑(First-Order Logic)句法

  • domain :论域
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  • constants :常量(我觉得理解为“元素”更好)
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  • variables:变量 用小写字母表示,如 $x,y,z$
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  • predicate:谓词 表示关系的符号,用大写字母表示,如 $P,Q,R$
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  • Quantifiers::量词
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  • Functions:函数符号
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FOL as a Formal language

Alphabet

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Syntax

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Terms(项)

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terms are expressions referring to “objects”

  • Examples : image
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Atoms

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Atomic formulas refer to properties or relations of objects

Formulas

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Precedence and Conventions

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Parse Trees

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评论

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