Downing St has echoed Ed Miliband's line that there will be "no ifs, no buts" when it comes to delivering further powers to the Scottish Parliament.
ITV News Political Correspondent Libby Wiener has been at a briefing with the Prime Minister's spokesman.
'Is the vow to the people of Scotland a cast-iron guarantee to keep to the timetable? Yes,' says PM's spokesman. 'No ifs, no buts.'
It is only a matter of time before Scotland becomes an independent nation, Alex Salmond has suggested.
The First Minister, who this week announced his intention to resign from his post, said the majority of younger Scots supported independence.
He told Sky News' Murnaghan programme: "When you have a situation where the majority of a country up to the age of 55 is already voting for independence, I think the writing's on the wall for Westminster."
"I think the destination is pretty certain, we're only now debating the timescale and the method," the SNP leader added.
People living in the North of England consider Westminster "extremely remote" and want powers closer to them to improve services, according to a council leader.
Labour leader of Manchester City Council, Sir Richard Leese, told BBC Radio 4's Today programme it was not a case of "one size fits all".
He said: "This is not an issue of who votes on what in Westminster.This is about taking power away from Westminster - not devolution to England or even devolution to Scotland, it's devolution in England, devolution in Scotland.
"I make this argument that the leader of Glasgow would make exactly the same argument about the need for powers to go away from Holyrood to cities in Scotland as well."
Politicians from both sides of the Scottish independence debate have gathered for a special church service to promote unity after the referendum.
Around 1,000 people attended the Church of Scotland event at St Giles’ Cathedral on the Royal Mile in Edinburgh.
Scotland’s Finance Secretary John Swinney, Better Together leader Alistair Darling, Scottish Secretary Alistair Carmichael, the Liberal Democrat Chief Secretary to the Treasury Danny Alexander and Scottish Conservative leader Ruth Davidson all attended.
The Church of Scotland hopes the service will help people from the Yes and No camps come together and move forward after the intense referendum debate.
The service was led by Church of Scotland moderator the Rt Rev John Chalmers. He asked people to put their differences aside and work together to redefine the country's place within the UK.
Ed Miliband has attacked David Cameron's proposal for 'English votes for English laws', saying he is trying to "drive our country apart".
The Prime Minister has called on the Labour leader to make clear whether he would support measures to stop Scottish MPs voting on matters that only affect people in England.
Speaking to the BBC's Andrew Marr Show, Mr Miliband said he was open to "greater scrutiny" of English-only legislation, but insisted it could not be hurried.
"I am open to the idea of greater scrutiny of legislation by English MPs...but we can't do it in a back of the envelop, fag packet way," he said.
"We've spent two years trying to keep our country together, let's have a proper constitutional convention, let's look at these issues, but let's not do this, let's not drive our country apart because David Cameron thinks it's an opportunity to do it, let's keep our country together," Mr Miliband added.
David Cameron has called on Ed Miliband to work with him to ensure only English MPs can vote on English laws.
Promising to deliver a "truly fair settlement for the whole of the UK", the Prime Minister urged the Labour leader to help address the "fundamentally unjust" situation which means Scottish MPs can vote on laws which do not apply to their constituents.
Writing in the Mail on Sunday, Mr Cameron said if Miliband did not agree, he should explain to the British people "why they shouldn't have the same powers as we are rightfully devolving to the people of Scotland".
"Why should Scottish MPs be able to vote on what is taught in English schools, to reduce spending on English hospitals, or even vary English or Welsh income taxes, when under the new settlement English or Welsh MPs would have no say in such matters in Scotland?" Mr Cameron said.
Meanwhile, Mr Cameron said a timetable for giving Scotland a new range of powers over tax, spending and welfare would be met, after Alex Salmond accused Westminster of "tricking" No voters.
People in Dumfries feel "remote from Edinburgh" as well as Westminster, according to Labour MSP Elaine Murray.
Meanwhile David Patterson, a local Yes Campaigner, told ITV News Border he was "gutted" after the independence referendum.
The vote breakdown in Dumfries and Galloway was 66% for No and 34% for Yes. Meanwhile, in the Scottish Borders, it was 67% No and 33% Yes. Across Scotland, 55% of the electorate voted No and 45% voted Yes.
Quite honestly I'm gutted, but I think we knew we wouldn't get the result in Dumfries, but disappointed in general obviously nationwide, because we all thought and hoped that we would get it, we all thought we would be become an independent country again."
I think the vote here in Dumfries and Galloway, as indeed the votes in places like Orkney and Shetland actually demonstrated that people feel a bit remote from Edinburgh too, and that's why devolution from Holyrood to local authority areas is also important actually I think we need to feel here that we are able to make our own decisions here as well."
Promises made to Scotland on further devolution will be upheld, Gordon Brown has insisted.
The former prime minister said he would ensure the commitment given by the leaders of the three main Westminster parties is adhered to.
The SNP have already raised concerns that the schedule Mr Brown set out will for further devolution will not be met.
But speaking just two days after the referendum, in which 45% of Scots voted for independence, with 55% wanting to remain in the UK, Mr Brown said: "The promises that were made last week about change, about the delivery of further devolution, must be, and I believe, and will ensure, will be delivered."
After David Cameron, Ed Miliband and Nick Clegg all made a public vow on this, Mr Brown added: "The eyes of the world have been upon us and now I think the eyes of the world are upon the leaders of the major parties of the United Kingdom.
"These are men who had been promise makers, and they will not be promise breakers, and I will ensure that that these promises that have been made are upheld."
Cumbria is a county that has many geographical similarities with Southern Scotland, but many differences too.
People cross the border every day in both directions for work, pleasure and to do business, and because of that today's result was also being keenly viewed south of the border.
Hannah McNulty reports.
The result of the Scottish independence referendum was a huge blow for the Yes campaign this morning, worsened by the announcement this afternoon that the man who made it all possible - Alex Salmond - will step down in November.
ITV Border's Political Editor Peter MacMahon was at the press conference where Salmond announced his exit from the top of the SNP leadership, and from his office as First Minister.