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The first question is from Conservative Lord Naseby, who asks what measures are being taken to combat terrorist and extremist propaganda released through multimedia channels, particularly social media, videos, the internet, and other online sources.

The home secretary recently announced a review of Britain's counter-terror strategy and a separate review of the handling of recent terror attacks.

Home Office Minister Baroness Williams of Trafford says 270,000 extremist items have been taken down - 8,000 a month in 2016.

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Speaker John Bercow announces the result of the election for the three deputy Speaker positions.

He begins by thanking MPs George Howarth and Sir David Amess for standing in as temporary deputy Speakers.

Conservative Eleanor Laing and Labour MP Lindsay Hoyle are returned to the positions they held in the last Parliament, and it is announced that former Labour chief whip Dame Rosie Winterton beat her Labour colleague Roberta Blackman-Woods to be elected the third deputy Speaker, after their former colleague Natascha Engel lost her seat in the general election.

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New Conservative MP Bim Afolami begins his maiden speech paying tribute to his predecessor Peter Lilley.

Mr Afolami turns to the subject of education - and says "we can do better". During the campaign, the bureaucracy that teachers face and schools' funding were subjects on the doorstep.

He asks whether the education system is preparing children for their future, and he says it should be focused on "outcomes rather than the form", pointing out that many are concerned by the issue of grammar schools.

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It could be a long day in the House of Lords - 65 peers have put their names down to speak in the debate on the Queen's Speech, which focuses on Brexit today.

There are also three amendments down - with Lord Adonis intending to force his to a vote.

The Labour amendment adds that "no deal is the worst possible deal" and calls on the government "to seek to negotiate a Brexit that prioritises jobs and the economy, delivers the exact same benefits as the United Kingdom currently has as a member of the single market and customs union, ensures that there is no weakening of co-operation in security and policing, and maintains the existing rights of EU nationals living in the UK".

The amendment from Labour backbencher Lord Adonis regrets that that the Queen's Speech contains no proposal for the government to seek to negotiate continued membership of the European single market and customs union.

The amendment from crossbencher Lord Armstrong of Ilminster calls on the government to suspend Brexit negotiations and withdraw, for the time being, the notification of intention to leave the EU.

Before all that, peers will put questions to ministers on extremism, government-commissioned research, industrial strategy, and seasonal agricultural workers from 3pm.

Susan Hulme
Parliamentary correspondent

There will be one vote on the Queen's Speech at 7pm, on the official Labour amendment from Jeremy Corbyn calling for an end to cuts for police and fire services and an end to the public sector pay cap.

On Thursday, there will be up to three votes at the end of the final day of debate on the Queen's Speech: another official opposition one from Mr Corbyn, and the Speaker can choose two more from other parties or backbench MPs.

He'll say which ones he's picked at the start of tomorrow's debate. It could be one of the ones already on the order paper, or new ones tabled tomorrow.

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Lib Dem MP Sir Ed Davey - who was returned to the Commons this month after losing his seat in the 2015 general election - says he worries about counter-terror and crime fighting measures after Brexit.

He also brings up police cuts, saying cuts are having an impact in his constituency.

Turning to extremism, he says Islamaphobia is rife in the UK and "we don't speak up enough against it".

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Labour MP Yvette Cooper also expresses concern about the process of Brexit and urges cross-party working.

She says the government should open up the process by setting up a cross-party commission, and strengthen the powers of the Brexit select committee. She says the hung Parliament gives particular responsibility too.

"The Great Repeal Bill that the government wants to put forward can no longer be a bill that simply accrues powers to the government through Henry VIII powers, because in a hung Parliament the legislature cannot simply hand over huge power to the executive," she says.

With a hung Parliament we have to work differently, she says, and she urges the government to change course on its approach to Brexit.

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Conservative MP Sir Nicholas Soames addresses the recent tragedy of the Grenfell Tower fire and the terrorist attacks in Manchester and London. He expresses his condolences and that of his constituents for those affected.

He expresses support for the prime minister, but says there are grave uncertainties arising from Brexit negotiations, as well as huge concerns about problems facing the country such as social care.

"In my 34 years here, I do not think I have ever seen a way ahead that is more complex or more difficult for our country than it is now," he says, citing particularly low educational achievements, lack of skills, low wages and inter-generational inequality.

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Ms Cherry says that it is important that the government works with our communities rather than against them in tackling extremism.

She also says that the SNP believe the police and security services have the powers that they need, but that the "real issue" is whether they have sufficient resources to fight terrorism.

As an example, she says that her party has called for "robust, targeted surveillance" rather than blanket surveillance of the whole population.

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The SNP's justice and home affairs spokesperson Joanna Cherry opens her remarks by saying she hopes the Labour party will support the SNP's amendment as they are happy to lend support to Labour.

She says that the SNP have consistently opposed the governments austerity agenda, and that the Scottish government has not imposed the sort of cuts seen south of the border in police and fire services.

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Once again the wise sages in the House of Commons Library have put together a detailed and comprehensive package of research briefings for this debate on the health, social care, and security aspects of the Queen's Speech.

The link to the various briefings can be found here., external

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Amber Rudd tells MPs about the government's plans for a Domestic Abuse Bill, saying she is proud of the Conservative record on this issue, before adding that the number of victims is still "far too high".

The home secretary says there are two million cases every year in England and Wales and that this is "two million too many".

She says she hopes the proposed legislation will be supported by the House in addressing "this insidious crime" and providing "better protections and better prosecutions"

Sean Curran
Parliamentary correspondent

Downing Street has signalled that the public sector pay cap is being reviewed.

Pay rises for public sector workers have been limited to 1% since 2013.

This afternoon, the prime minister's spokesman indicated that the policy could change later this year.

He said a number of cabinet ministers had said there was "a fiscal event coming up in the autumn" and he said the policy would be "spelt out then".

A Number Ten source said that public sector pay restraint was "one of the tough decisions" the government had had to make but said ministers, including the prime minister were going to "listen to the messages that were sent at the election" and said, "we understand that people are weary after years of hard work to re-build the economy".

A number of pay review bodies will make their recommendations later this year.

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Amber Rudd says that the government will build on the foundations it has laid and the "strong record of achievement".

She points to falling crime levels, the banning of so-called legal highs, more than 900 "bogus colleges" closed, and increased powers for police and intelligence services.

The home secretary goes on to tell MPs that the UK is a world leader on tackling online extremism; and also says that we must face extremism "of all types" - either Islamic or far-right "with equal hostility".

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Home Secretary Amber Rudd now speaks in the debate.

She strikes a conciliatory tone to begin with by agreeing with Diane Abbott's praise of the emergency services.

Ms Rudd then addresses the attacks of Ms Abbott, saying that at the Grenfell fire, fire crews were on the scene within six minutes, asking how Diane Abbott can suggest that numbers were "inexcusably low".

She adds that the number of fire incidents has halved in the last decade but the number of firefighters has reduced by 20%, and adds that government doesn't recruit fire staff - chief officers do.

"Public safety is an absolute priority for this government," she says.

"On my watch the police and fire services will have the resources they need."

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Liberal Democrat Sir Ed Davey intervenes to say that the Metropolitan Police Commissioner has spoken for the need for more resources and asks if she has ever heard the Met Commissioner demanding more resources so publicly.

Diane Abbott agrees that it is unprecedented, before her Labour colleague Ian Austin asks if Sir Ed Davey is related to the same person who was in the coalition government which presided over public sector cuts.

Ed Davey was energy secretary in the coalition government, as well as a business minister.

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Plaid Cymru's Jonathan Edwards intervenes on Ms Abbott and says his party intends to support Labour's amendment and that he agrees with much of what she is saying.

But he then asks why in Wales, where Labour are in government, the number of firefighters has been cut by 20%.

Ms Abbott begins by saying it is not for her to speak on this in Westminster - which prompts jeers from Conservative MPs.

She then says that funding to the Welsh government has been cut.