House Republicans said Friday that they will not agree to a long-term debt ceiling increase unless the Senate works with them to pass a budget deal. They will also withhold Congress’s paychecks if either chamber fails to adopt a budget by April 15.

“The principle is simple: No budget, no pay,” John A. Boehner (R-Ohio) said. The principle may be simple, but the legality of withholding lawmakers' checks is in doubt.