Story highlights Marco Rubio touted his foreign policy record on the Senate Foreign Relations committee on the campaign trail Thursday

The Florida senator also criticized Jeb Bush, Donald Trump and John Kasich

(CNN) Republican presidential candidate Marco Rubio turned up the heat on his opponents -- proactively calling them out by name -- while campaigning in South Carolina on Thursday.

Rubio touted his international affairs record on the Senate Foreign Relations Committee, while taking aim at the experience of Ohio Governor John Kasich, former Florida Governor Jeb Bush and the GOP frontrunner, Donald Trump -- all of whom won more votes than him in Tuesday's New Hampshire primary.

"We'll have a debate on Saturday. Who on that stage has more experience or has shown better judgment or a better understanding of the foreign policy and national security issues than I have, on that stage?" Rubio asked at a town hall on Hilton Head Island.

"Because the governors haven't dealt with foreign policy, in the case of John Kasich in a long time."

The Ohio governor -- and former congressman -- on Wednesday defended his foreign policy experience at an appearance in South Carolina, citing his long tenure on the House Armed Services Committee.

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