Speaking in the Commons, a Conservative MP has paid tribute to the one British victim of the attacks in Paris, Nick Alexander. Will Quince, the MP for Colchester - where Mr Alexander lived - urges the UK government to do everything possible to bring those responsible for this "heinous crime" to justice. In response, Mrs May says that Mr Alexander - who had been selling merchandise for the band that was playing in the Bataclan concert venue prior to the attack on the venue - was merely going about his business "providing enjoyment and fun to other people". She gives her "absolute assurance" that the UK is helping the French to try and bring to justice anyone involved in the preparation of the attacks. 

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Crispin Blunt, Conservative chairman of Parliament's Foreign Affairs Select Committee, talked about the need for troops on the ground in Syria to combat the self-styled Islamic State group.

But he told Jo Coburn it would be better if those troops came from the surrounding Sunni states - such as Turkey, Saudi Arabia, Egypt and Jordan - than the West.

Conservative MP Julian Lewis calls for the UK security services to work with their Russian counterparts to identify and deal with threats from Islamic State in Syria, saying no coherent strategy can be formulated "until the UK faces up to the unpleasant fact that it will have to co-ordinate its efforts with that of Russia". 

Mrs May does not answer the question directly but notes talks between Vladimir Putin and other world leaders at the G20 and says this kind of co-operation is vital to stabilise Syria and help stem the flow of refugees. 

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Backbenchers are now responding to Mrs May's statement. Former Conservative defence secretary Liam Fox says the Paris attacks explode the myth that if the international community does not vigorously pursue Islamist extremists, they will leave us alone. He says the militants responsible for the atrocities "hate our history, identity and values".

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Responding for Labour, shadow home secretary Andy Burnham says the Islamist terror threat is the "biggest challenge of our generation" and while warning against a kneejerk reaction, he says the UK must not "shy away from decisive action" where it is needed, again pledging his general support for the government in keeping the UK safe. 

However, he urges the government not to see police funding "in isolation" from counter-terrorism and counter extremism, calling for the home secretary to revisit assumptions that policing budgets could be cut by as much as 25% in the spending review.

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Mrs May finishes her statement to the House of Commons saying that terrorists seek to divide countries and communities but their ideology is "empty, perverted and murderous". They will fail in their objectives, she says, saying simply that "France grieves but she does not grieve alone".

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The home secretary says the Paris attacks were "coordinated" to cause the most damage. It was an attack on "our way of life". 

She says the weaponry used in Paris is not readily available in the UK, therefore Europe needs to tackle the availability of firearms.  

Police firearms, military and ambulance responses have been improved since attacks on Mumbai in 2008 in UK she says.

She confirmed the Russian plane that crashed in Sharm was likely brought down by a bomb.

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Mrs May says the UK is working closely with the French authorities to identify those responsible for the "horrific" attacks. The threat level remains severe in the UK, meaning an attack is likely. She says the intelligence agencies are working "night and day" to tackle the threats facing the UK, pointing out that a number of plots have been foiled in recent months. She also says border checks have been intensified since Friday. 

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The Home Secretary says MI5, MI6 and GCHQ will be given extra funding to recruit a further 1,900 operatives to help counter the terrorist threat, including cyber attacks. She also announces a review of airport security, with the UK focusing on destinations in the Middle East and North Africa. 

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Mrs May says it is "imperative" that Europe pulls together to defeat the threat posed by Islamist extremists. She says that the government is conducting a urgent review of how the UK deal with the risks of "marauding" attacks by gunmen with automatic weapons. She urges other European countries to tighten their laws on firearms, pointing out that the UK had done so in recent years. She also says she is seeking greater co-operation among EU states about information sharing about terrorist suspects including passenger records. 

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BBC Radio 4

Continuing his address, the French president calls for additional powers for the government saying it should be possible to remove French citizenship from suspected terrorists - where they hold dual citizenship  - even if they were born in France. France, he adds, should be able to prevent people who have gone to fight in Syria or who have gone to terrorist training camps from coming back into the country. Mr Hollande adds it should be easier for the government to deport foreign nationals who it believes pose a threat to the nation.

French President Francois Hollande puts forward plans to create 5,000 new security staff over the next two to three years, thereby doubling the number of security personnel in the country. 

He says this will bring France's security personnel back up to the level they used to be. He also says there will be no cuts to or reorganisation of the military during the remainder of his term which ends in 2019.

He accepts this and a number of other reforms will cost money but says the faces of the dead will not leave his mind, making him more determined to ensure the "barbarity" of the terror attacks has no power over France or the way French people live their lives. 

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Theresa May, home secretary, touches quickly on the Paris attacks, which she will expand on shortly, saying:

"While the terrorists tried to instill fear, the people of Paris have shown they will not be cowed into submission. The same is true here in the UK as we stand shoulder to shoulder with the French."

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Home Office questions is drawing to an end. Asked whether the security services have sufficient resources, security minister John Hayes replies by saying what is needed is a mixture of "the right resources and the right powers" to counter what he says is a dynamic rather than a static terror threat. With a rhetorical flourish, he says the UK must remain "prepared, fearless and certain".