How to write :hover condition for a:before and a:after?

This depends on what you're actually trying to do.

If you simply wish to apply styles to a :before pseudo-element when the a element matches a pseudo-class, you need to write a:hover:before or a:visited:before instead. Notice the pseudo-element comes after the pseudo-class (and in fact, at the very end of the entire selector). Notice also that they are two different things; calling them both "pseudo-selectors" is going to confuse you once you run into syntax problems such as this one.

If you're writing CSS3, you can denote a pseudo-element with double colons to make this distinction clearer. Hence, a:hover::before and a:visited::before. But if you're developing for legacy browsers such as IE8 and older, then you can get away with using single colons just fine.

This specific order of pseudo-classes and pseudo-elements is stated in the spec:

One pseudo-element may be appended to the last sequence of simple selectors in a selector.

A sequence of simple selectors is a chain of simple selectors that are not separated by a combinator. It always begins with a type selector or a universal selector. No other type selector or universal selector is allowed in the sequence.

A simple selector is either a type selector, universal selector, attribute selector, class selector, ID selector, or pseudo-class.

A pseudo-class is a simple selector. A pseudo-element, however, is not, even though it resembles a simple selector.

However, for user-action pseudo-classes such as :hover¹, if you need this effect to apply only when the user interacts with the pseudo-element itself but not the a element, then this is not possible other than through some obscure layout-dependent workaround. As implied by the text, standard CSS pseudo-elements cannot currently have pseudo-classes. In that case, you will need to apply :hover to an actual child element instead of a pseudo-element.

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¹ _{Of course, this does not apply to link pseudo-classes such as :visited as in the question, since pseudo-elements aren't links.}

Write a:hover::before instead of a::before:hover: example.

To change menu link's text on mouseover. (Different language text on hover) here is the

jsfiddle example

html:

<a align="center" href="#"><span>kannada</span></a>

css:

span {
    font-size:12px;
}
a {
    color:green;
}
a:hover span {
    display:none;
}
a:hover:before {
    color:red;
    font-size:24px;
    content:"ಕನ್ನಡ";
}