How about the below, suggested wording replacing these 2 paragraphs:
A list is a sequence of one or more pipelines separated by one of the operators ;, &, &&, or ||, and optionally terminated by one of ;, &, or <newline>. Of these list operators, && and || have equal precedence, followed by ; and &, which have equal precedence. Suggest: A list is a sequence of one or more pipelines separated by one of the operators ;, &, &&, or ||, and terminated by ;, &, or <newline>. Precedence of these operators, in decreasing order by line is: && and || ; and &