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'''Soundness''' is a property of [[interactive proof system]]s that requires that no prover can make the verifier accept for a wrong statement <math>y \not\in L</math> except with some small probability. The upper bound of this probability is referred to as the soundness error of a proof system.
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More formally, for every prover <math>(\tilde{\mathcal{P}})</math>, and every <math>y \not\in L</math>:
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: <math>\Pr[(\perp,(\text{accept}))\gets (\tilde{\mathcal{P}})(y) \leftrightarrow (\mathcal{V})(y)] < 2^{-80}.</math>
 
The above definition uses the somewhat arbitrary soundness error&nbsp;2<sup>&minus;80</sup>.
As long as the soundness error is bounded by a polynomial fraction of the potential running time of the verifier (i.e. <math>\leq1/\mathrm{poly}(|y|)</math>), it is always possible to amplify soundness until the soundness error becomes negligible relative to the running time of the verifier. This is achieved by repeating the proof and accepting only if all proofs verify. After <math>\ell</math> repetitions, a soundness error <math>\epsilon</math> will be reduced to <math>\epsilon^\ell</math>.<ref>{{citation|first=Oded|last=Goldreich|authorlink=Oded Goldreich|title=Zero-Knowledge twenty years after its invention|year=2002|id={{ECCC|2002|02|063}}}}.</ref>
 
==See also==
* [[Interactive proof system]]
* [[Proof of knowledge]]
* [[Zero-knowledge proof]]
 
==References==
<references/>
 
 
[[Category:Proof theory]]
 
 
{{Crypto-stub}}

Revision as of 03:10, 18 February 2014

The world of gaming offers something for everyone. Modern games simulate everything from simple math lessons for kids to programs involving world domination. This article will educate you on the best video game playing tips.

Hold off on buying PC games until you know more about your purchase. PC games involve the use of serial numbers. These serial numbers can only be used once, rendering used PC games worthless in many instances. Because of this, PC games are notoriously difficult to return if you do not enjoy them.

Become familiar with video game ratings. Video games aren't just for kids anymore, so don't assume every game is family-friendly. Each game has a rating, beginning at EC (Early Childhood) and ending at AO (Adults Only). When the game is for a child, check the rating and select your games with caution.

It is always best to try out a game demo for a little bit before you purchase it. The demo will allow you to figure out if you want the full version. That said, you have to take care. Downloading from a bad website can lead to your computer having serious virus or malware problems.

Be careful about letting your child play online video games, especially games with live audio. There can be foul language in these channels, as well as a lot of bullying behavior. There can also be child predators in these chat rooms. Know what your child is doing and monitor these chat times for their protection.

Give the in-game music a chance. If, however, you are annoyed with it after an hour or so, don't be afraid to mute the television or computer and play some music of your own. You will have a much more enjoyable gaming experience that way and are less likely to get a headache from playing.

Save your game as much as you can. While auto-saving is a great feature, don't rely on it. Particularly, when you first start playing a game, you may have no idea when the game saves, which could lead to a loss of important data later on. Until you understand the game better, always save yourself.

Avoid buying the costly edition of games, unless they are a favorite. Many times, video games will have a special edition, but it isn't necessary to have in order to play the game. By not purchasing the special edition you can save money on the video game and still enjoy it.

Once your child enters middle school, you may give them a little more freedom when it comes to video games. However, it is important to still be aware, particularly when it comes to multiplayer games. Listen to make sure the language is appropriate. If not, take off the option for online play.

Sell your old gaming items. Instead of just letting your gaming items you no longer use sit around and collect dust, sell them. You can either sell them online or at many different game stores. In most areas you can find video game stores that buy and sell gaming items.

Use video games to help your brain! As people age, their brains age, too and don't work as well as they did when they were younger. There are many video games that help your brain get some well needed activity. By playing these games, it is shown that your brain age can be younger than your actual age.

Try not to buy new video games on the day of their release. Video games are expensive nowadays and waiting a month or two from the release date can help you to save a lot of money on new video games. New video games always cost more for the first few weeks after their release.

As a parent, you will want to closely monitor the language that your child is displaying after playing a video game. If their language is taking a turn for the worst, you may want to limit the amount of time they are spending playing games that are explicit or unsuitable for their age.

Video games can introduce people to new worlds, help students learn and increase a person's fitness level. Smart gaming benefits are endless. Hopefully now you are aware of how to be a responsible and smart gamer after taking in the tips from this article.

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