While its possible for two neutron stars of a certain mass to produce a black hole it is more likely fusion would either restart or the impact would blow both to bits in a type 1A supernova.
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Fusion is driven by the mass of a star. The more mass, the more pressure at its core, the easier it is to fuse heavier elements. When it lacks the pressure to fuse a heavier element it cools and collapses in on itself. The collapse either produces a dense star or regular supernova (including a black hole afterwards) depending on the stars mass. That is of course unless the star has produced iron in which case the collapse has so much force behind it the iron atoms produce anti-matter blowing the whole thing to bits in an explosion so powerful not even a black hole remains.
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That's my understanding anyway.
Just a couple of helpful points: antimatter is not produced via stellar fusion, even at the high mass end when the star has produced iron in its core. The precise mechanism causing the detonation of "core-collapse" supernovae is not completely understood, but the general idea is that the predominantly iron core of a large star collapses into what is effectively a neutron star, and then the outer ~95% of the original star graviationally falls onto this neutron core and shock rebounds into an explosion. No antimatter required!
On the two neutron stars colliding, it would be impossible for fusion to restart, as the material in each of the stars would be almost completely composed of neutrons - there are no regular elements around to fuse! So the two stars would either merge into a larger neutron star, or, more likely, collapse into a black hole. Similarly, they would also not create a Type Ia supernova, since there is no detenation mechanism. I believe you're thinking here of the double-degenerate model for Type Ia's, but that uses the collision of two *white dwarfs* rather than two neutron stars to trigger an explosion.