HARRISBURG — Gov. Tom Wolf stood behind his demand for a new state budget, while a top Republican lawmaker Tuesday said the week-old stalemate will last as long as Wolf insists on an income and sales tax increase to prop up state spending.

The first-term Democratic governor told KDKA it might have been popular or easy to sign a $30.2 billion document passed solely by Republican state lawmakers, but it also would have been irresponsible.

“We can’t put up with this,” Wolf said. “We need to get serious about putting the finances of Pennsylvania in order.”

He cited the state’s five credit downgrades by three rating agencies in the past three years and said, “That’s going to continue unless we get serious about presenting honest financial statements and doing the budget the right way.”

Wolf’s veto, his first as governor, and the continuing budget stalemate has left the government with limited spending authority since its new fiscal year began a week ago.

On Tuesday, Senate Majority Leader Jake Corman, R-Centre, told reporters talks are stuck on Republican opposition to Wolf’s request for tax increases on sales and income.

“We’re not going to be for that, we’re not going to be for that any time,” Corman said after meeting with Wolf. “So I think it needs to be made very clear that this is going be a while as long as the governor holds on to the need for a broad-based tax increase. ... That’s the issue.”

Corman did not rule out other kinds of tax increases, and he said Republicans are open to helping Wolf meet his goals, within reason.

Senate leaders Tuesday changed plans and will reconvene Monday.

Republicans who control the Legislature are pitting their no-new-taxes budget that relies partly on transfers and delayed payments against Wolf’s request for billions of dollars in tax increases to finance a record boost in public school aid and erase a long-term deficit that’s damaged the state’s credit rating.

Negotiations between Wolf and Republicans effectively stalled in June. The effort to restart talks comes as outside groups launch an air war. Last week, an affiliate group of the Washington, D.C.-based Democratic Governors Association began airing a radio ad featuring Wolf in Philadelphia and Pittsburgh.

In it, Wolf bashes Republicans for passing a “fantasyland” budget that doesn’t cut property taxes, sticks Pennsylvania with a $3 billion deficit, maintains bottom-of-the-barrel state support for public schools and leaves Pennsylvania as the only major gas-producing state that doesn’t charge the oil and gas industry an extraction tax.