Increasing public debt over the period of time in most of the countries is a cause of concern for the government. It has impact on governments capacity to borrow and spend.
I think, at large budget deficit is the key reason of public debt. Because, as the government announce deficit budget then to fill the gap, government have three options first, taking debt from domestic sources (domestic debt), second, deficit financing, third, increase in tax.
Yes, increasing budget deficit can accelerate public debt. Deficit financing occurs when the government spends more money than it receives in revenue, resulting in a budget deficit. To cover the deficit, the government borrows money by selling Treasury securities. The national debt is the accumulation of this borrowing along with associated interest owed to the investors who purchased these securities. As the government experiences recurring deficits, the national debt grows. Deficit financing is essentially borrowing money to make up for the shortfall in revenue, which adds to the public debt