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Soundness is among the most fundamental properties of mathematical logic.
Some Related Sentences
Soundness and is
Soundness properties come in two main varieties: weak and strong soundness, of which the former is a restricted form of the latter.
Soundness of a deductive system is the property that any sentence that is provable in that deductive system is also true on all interpretations or structures of the semantic theory for the language upon which that theory is based.
* Soundness: if the statement is false, no prover, even if it doesn't follow the protocol, can convince the honest verifier that it is true, except with some small probability.
* Soundness: if the string is not in the language, no prover, however malicious, will be able to convince the verifier to accept the string with probability exceeding 1 / 3.
* ( Soundness ) Every provable second-order sentence is universally valid, i. e., true in all domains under standard semantics.
# Soundness: if the statement is false, no cheating prover can convince the honest verifier that it is true, except with some small probability.
Soundness guarantees that all possible behaviours are preserved while completeness guarantees that no behaviour is added by the encoding.
Soundness and most
* Soundness: If x ∉ L then for every π, V < sup > π </ sup >( x ) accepts with probability at most s ( n ).
Soundness and logic
Satisfiability -- Scholastic logic -- Second-order predicate -- Self-reference -- Sequent -- Sequent calculus -- Sequential logic -- Singular term -- Soundness -- Square of opposition -- Strict conditional -- Strict implication -- Strict logic -- Structural rule -- Sufficient condition -- Syllogism -- Syllogistic fallacy
Soundness and .
In Quality of Management they scored second place, third in Long Term Investments, fourth in Financial Soundness, and ninth in Global Competitiveness.
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but there is a leavening of liberalism among college graduates throughout the South, especially among those who studied in the North.
Of the longer pieces of the volume none is so memorable as `` Nameless And Immortal '', which at once took rank among the finest poems ever written in the Swedish language.
Finally, in The Maltese Falcon among others, the clash between detective and police is carried to its logical conclusion: Sam Spade becomes the chief murder suspect.
Since a civilizational crisis involves also a crisis in private interests and in the ruling class, reaction is normally found among those who feel themselves to be among the ruling class.
Evidence is plentiful that early and later also he has been indebted to the Gothic romancers, who deal in extravagant horror, to the symbolists writing at the end of the preceding century, and in particular to the stream-of-consciousness novelists, Henry James and James Joyce among them.
nor is there need to add that among them are some of the most highly individualized and most successful of his characters.
Outstanding among these is the idea of human nature itself, including the many definitions that have been advanced over the centuries ; ;
It is even true that some among them use the sheer fact of conformity -- `` everyone does it '' -- as a criterion for conduct.
Even in its present form, however, the first part of Malraux's unrecoverable novel is among the greatest works of mid-twentieth century literature ; ;
While it is hazardous to project the trend of history, it seems clear that a genuine community is painfully emerging in the Western world, particularly among the countries of Western Europe.
The burden of these reflections is that a broader unity among the free nations is at the core of our needs.
The trouble with this machinery is that it is not used and the reason that it is not used is the absence of a conscious sense of community among the free nations.
This is not to deny the existence of pogroms and ghettos, but only to assert that these horrors have had an effect on the nerves of people who did not experience them, that among the various side effects is the local hysteria of Jewish writers and intellectuals who cry out from confusion, which they call oppression and pain.
While some think we move too fast and others too slowly, Florida's record is a good one and stands out among the 50.
the Army, Navy and Air Force, among others, may question Secretary Freeman's claim that the high estate of United States agriculture is the `` strongest deterrent '' to the spread of communism.
All across the South there are signs that racial violence is finding less approval among whites who themselves would never take active part but might once have shown a tolerant attitude toward it.
is and most
I want the room in the attic prepared for him He is a most unusual lad, quite precocious in many ways.
In fact it has caused us to give serious thought to moving our residence south, because it is not easy for the most objective Southerner to sit calmly by when his host is telling a roomful of people that the only way to deal with Southerners who oppose integration is to send in troops and shoot the bastards down.
but for this discussion the most important division is between those who have been reconstructed and those who haven't.
But apart from racial problems, the old unreconstructed South -- to use the moderate words favored by Mr. Thomas Griffith -- finds itself unsympathetic to most of what is different about the civilization of the North.
The general acceptance of the idea of governmental ( i.e., societal ) responsibility for the economic well-being of the American people is surely one of the two most significant watersheds in American constitutional history.
Accidental war is so sensitive a subject that most of the people who could become directly involved in one are told just enough so they can perform their portions of incredibly complex tasks.
Even though in most cases the completion of the definitive editions of their writings is still years off, enough documentation has already been assembled to warrant drawing a new composite profile of the leadership which performed the heroic dual feats of winning American independence and founding a new nation.
It is clear that, while most writers enjoy picturing the Negro as a woolly-headed, humble old agrarian who mutters `` yassuhs '' and `` sho' nufs '' with blissful deference to his white employer ( or, in Old South terms, `` massuh '' ), this stereotype is doomed to become in reality as obsolete as Caldwell's Lester.
Presenting an individualized Negro character, it would seem, is one of the most difficult assignments a Southern writer could tackle ; ;
All but the most rabid of Confederate flag wavers admit that the Old Southern tradition is defunct in actuality and sigh that its passing was accompanied by the disappearance of many genteel and aristocratic traditions of the reputedly languid ante-bellum way of life.
Yet often fear persists because, even with the most rigid ritual, one is never quite free from the uneasy feeling that one might make some mistake or that in every previous execution one had been unaware of the really decisive act.
Perhaps the most illuminating example of the reduction of fear through understanding is derived from our increased knowledge of the nature of disease.
The consciousness it mirrors may have come earlier to Europe than to America, but it is the consciousness that most `` mature '' societies arrive at when their successes in technological and economic systematization propel them into a time of examining the not-strictly-practical ends of culture.
And the life they lead is undisciplined and for the most part unproductive, even though they make a fetish of devoting themselves to some creative pursuit -- writing, painting, music.
The music which Lautner has composed for this episode is for the most part `` rather pretty and perfectly banal ''.
Presupposed in Plato's system is a doctrine of levels of insight, in which a certain kind of detached understanding is alone capable of penetrating to the most sublime wisdom.
As long as perception is seen as composed only of isolated sense data, most of the quality and interconnectedness of existence loses its objectivity, becomes an invention of consciousness, and the result is a philosophical scepticism.
And it is precisely in this poorer economic class that one finds, and has always found, the most racial friction.
We assume for this illustration that the size of the land plots is so great that the distance between dwellings is greater than the voice can carry and that most of the communication is between nearest neighbors only, as shown in Figure 2.