Democratic candidate for state senator Caleb Frostman submitted his nomination papers for the fall election Thursday, ensuring a rematch with state Rep. Andre Jacque in November barring any late entries.

Frostman and Republican Jacque are in a special election June 12 for the last six-months-and-change of former state Sen. Frank Lasee’s unexpired term. A full four-year term will be at stake in November.

Jacque won a fairly close Republican primary victory over Alex Renard on May 15. As of Thursday afternoon Renard, who registered for the fall election in February, had not filed to run again.

Gov. Scott Walker declined to schedule a special election after Lasee stepped down to take an administration job Dec. 29, but Democratic interests filed suit in Dane County to force the election and in late March the Madison judge ordered the governor to schedule the vote.

The legislative session is over, and lawmakers are not currently scheduled to meet before the new Assembly and Senate take office in January. But the June 12 winner will gain the advantage of running as the incumbent.