...and it shouldn't matter whether you use the <input> tag or the <button> tag.
Also infuriating: when clicking on <button type="submit" value="theValue">ButtonText</button> in IE6, it submits "ButtonText" as the value of the button, rather than "theValue". Ghod, IE sucks.
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According to the spec, you're correct - you can have more than one submit button in a form:
http://www.w3.org/TR/html4/interact/forms.html#submit-button
...and it shouldn't matter whether you use the <input> tag or the <button> tag.
Also infuriating: when clicking on <button type="submit" value="theValue">ButtonText</button> in IE6, it submits "ButtonText" as the value of the button, rather than "theValue". Ghod, IE sucks.