假设你是一个计算机编译原理专家现在要设计一套逻辑表达式语法规则EBNF：1 表达式支持使用括号改变计算优先级2 表达式支持&& ! 三种逻辑运算以及每种对象特定的运算符3 支持对象类型转换语法格式为类似C。4 主要部分primary的定义如下： 41 支持的对象类型包括 int float string list map account email_address envelop mime_hea

根据上述要求，可以设计一套逻辑表达式语法规则（EBNF）如下：

expression ::= logical_or_expression

logical_or_expression ::= logical_and_expression { "||" logical_and_expression }

logical_and_expression ::= logical_not_expression { "&&" logical_not_expression }

logical_not_expression ::= "!" primary_expression | primary_expression

primary_expression ::= constant | variable | type_conversion | access_expression

constant ::= int_constant | float_constant | string_constant

variable ::= "$" identifier

type_conversion ::= "(" type ")" primary_expression

access_expression ::= member_access_expression | index_access_expression

member_access_expression ::= primary_expression "." identifier

index_access_expression ::= primary_expression "[" expression "]"

type ::= "int" | "float" | "string" | "list" | "map" | "account" | "email_address" | "envelop" | "mime_header" | "attachment"

identifier ::= letter { letter | digit }

int_constant ::= digit { digit }

float_constant ::= digit { digit } "." { digit }

string_constant ::= "\"" { character } "\""

character ::= letter | digit | special_character

letter ::= "a" | "b" | ... | "z" | "A" | "B" | ... | "Z"

digit ::= "0" | "1" | ... | "9"

special_character ::= "!" | "@" | "#" | ... | "}"

以上是一套符合要求的逻辑表达式语法规则（EBNF），可以用于编译器的语法分析和语义分析