And the nuclear weapons states pledge that at some future point, they will give up their nuclear arsenals.
Additional reductions in the U.S. and Russian nuclear arsenals are possible and indeed desirable.
And President Bush and President Putin agreed formally to make unprecedented cuts in their nuclear arsenals.
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In addition, both countries would agree to cut their nuclear arsenals to fewer than 2, 000 warheads.
W. Bush and Bill Clinton both enacted drastic cuts in the US conventional and nonconventional arsenals.
This is expected to include a significant reduction in their arsenals of strategic nuclear weapons.
The Presidents of the United States and the Russian Federation have begun to cut their nuclear arsenals.
Nations have come together to lock down nuclear materials, and America and Russia are reducing our arsenals.
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Many are also reluctant to give up their arsenals, particularly if they are unsure they can be replaced.
Capping U.S. and Russian arsenals at 500 warheads is unrealistic given today's world.
START-2, an arms-control treaty with America that will reduce both countries' nuclear arsenals.
Nuclear arsenals can certainly be reduced as a result of the ebbing of the threat of a major nuclear exchange.
Thus, the 1972 ABM Treaty and the 1974 Vladivostok summit utterly failed to restrict the nuclear arsenals of the two superpowers.
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Pakistan and India, which have acquired nuclear arsenals despite concerted opposition by the United States and others, are cases in point.
If there are dark passages in the narrative, both companies have a few tools in their crisis management arsenals as well.
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This would see America and Russia each cut their arsenals to 500 warheads each and the other states reduce their inventories proportionately.
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The Nuclear Non-Proliferation Treaty called for the major nuclear powers to disarm gradually and for smaller countries to forego new nuclear arsenals.
With more than 200, 000 members, it is tasked with overseeing the country's crucial interests, including guarding its oil fields and missile arsenals.
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However, if recent research pays off, doctors may be able to add the antiviral equivalent of broad-spectrum antibiotics to their anti-virus arsenals.
Even more alarmingly, Israel has no medium-range or long-range conventional missile arsenals.
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Indeed far from installing upgrades, Israel is downgrading its existing anti-missile arsenals.
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The Kremlin and the Tower are both royal fortresses and former arsenals.
As nuclear arsenals grew, each of the two main sides in the Cold War gained second strike capability, rendering a surprise attack moot.
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In addition, experts warned that other nuclear weapon states would continue modernizing their arsenals and proliferation among wanna-be nations would go on apace.
When the two superpowers were there, with their gigantic nuclear arsenals, people said if there were another world war, the earth would be destroyed.
To promote disarmament, the United States is working with Russia to complete negotiations on a new START Treaty that will significantly reduce our nuclear arsenals.
Since 1981 we've been committed to seeking fair and verifiable arms agreements that would lower the risk of war and reduce the size of nuclear arsenals.
Last weekend, Mr Bush and Vladimir Putin, his Russian counterpart, agreed amicably enough to discuss both missile shields and cuts in their two countries' nuclear arsenals.
" He correctly warned that the United States "can't afford to wait until a host of Third World nations acquire arsenals full of First World weapons.
Secondly, as that experience suggests, there is no basis for believing all nuclear weapon states would abide by a new undertaking to abolish their nuclear arsenals.
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