Page "Soundness" ¶ 21
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## Some Related Sentences

Completeness and all
* Completenessall actions can be ranked in an order of preference ( indifference between two or more is possible ).
The Completeness theorem establishes an equivalence in first-order logic, between the formal provability of a formula, and its truth in all possible models.
* Completeness: a proof that all true mathematical statements can be proved in the formalism.
* Completeness: all pa consequences are demonstrable from the initials ( T17 ).
* Completeness ; the degree to which all necessary concepts of the application domain are represented in the way of modeling.
* Completeness checks-controls that ensure all records were processed from initiation to completion.
# Completeness: the budget must include all instances of revenues and expenditures separately.

Completeness and true
* Completeness: if the statement is true, the honest verifier ( that is, one following the protocol properly ) will be convinced of this fact by an honest prover.
# Completeness: if the statement is true, the honest verifier ( that is, one following the protocol properly ) will be convinced of this fact by an honest prover.

Completeness and are
Completeness of the market is also important because in an incomplete market there are a multitude of possible prices for an asset corresponding to different risk-neutral measures.

Completeness and provable
# Completeness: any statement is either provable or refutable ( i. e. its negation is provable ).
* ( Completeness ) Every universally valid second-order formula, under standard semantics, is provable.

Completeness and .
Completeness of first-order logic was first explicitly established by Gödel, though some of the main results were contained in earlier work of Skolem.
Completeness and accuracy is described by the weakest apparent magnitude V ( largest number ) and the accuracy of the positions.
Completeness and accuracy of recall in the diffusion of the news from a newspaper vs a television source.
Two of Kripke's earlier works, A Completeness Theorem in Modal Logic and Semantical Considerations on Modal Logic, the former written while he was still a teenager, were on the subject of modal logic.
" A Completeness Theorem in Modal Logic ", Journal of Symbolic Logic 24 ( 1 ): 1 – 14.
" Another Approach: The Church-Turing ' Thesis ' as a Special Corollary of Gödel's Completeness Theorem ," in Computability: Gödel, Turing, Church, and beyond, Copeland, B. J., Posy, C., and Shagrir, O.
The word Dzogchen has been translated variously as Great Perfection, Great Completeness, Total Completeness, and Supercompleteness.
; Completeness: The design must cover as many important situations as is practical.
Completeness can be sacrificed in favor of any other quality.
; Completeness: The design must cover as many important situations as is practical.
* Lawrence Solum, Default Rules and Completeness, Legal Theory Lexicon.
* Lawrence Solum, Default Rules and Completeness, Legal Theory Lexicon.
Completeness seems to be at the center of shalom as we will see in the meaning of the term itself, in some derivatives from its root, shalam, in some examples of its uses in Jewish and Christian Scriptures, and in some homophone terms from other Semitic languages.
" The Completeness of the First-Order Functional Calculus ", Journal of Symbolic Logic.
" Completeness in the theory of types ", Journal of Symbolic Logic 15: 81 – 91.
" The Gelukpa allow that it is possible to take the mind itself as the object of meditation, however, Zahler reports, the Gelukpa discourage it with " what seems to be thinly disguised sectarian polemics against the Nyingma Great Completeness and Kagyu Great Seal meditations.

states and all
For better or for worse, we all now live in welfare states, the organizing principle of which is collective responsibility for individual well-being.
In his recognition of his impersonal self the dancer moves, and this self, in the `` first revealed stroke of its existence '', states the theme from which all else must follow.
If the Union conceded this to them, the same right must be conceded to each remaining state whenever it saw fit to secede: This would destroy the federal balance between it and the states, and in the end sacrifice to the sovereignty of the states all the liberty the citizens had gained by their Union.
The 140,414 Americans who gave `` the last full measure of devotion '' to prevent disunion, preserved individual freedom in the United States from the dangers of anarchy, inherent in confederations, which throughout history have proved fatal in the end to all associations composed primarily of sovereign states, and to the liberties of their people.
The lives so many of them gave, to forestall what they believed would be a fatal encroachment by the Union on the powers reserved to their states have continued ever since to safeguard all Americans against freedom's other foe.
The New English Bible ( the Old Testament and Apocrypha will be published at a future date ) has not been planned to rival or replace the King James Version, but, as its cover states, it is offered `` simply as the Bible to all those who will use it in reading, teaching, or worship ''.
I have done all this for the freedom of the individuals concerned and also for the states which have been threatened by Communist domination.
These problems are not local to Rhode Island, but are recognized as common to all states.
Fees are not the same and some states do not require certain craft, such as sailboats with no power, to be registered at all.
By 1960 there were such schools in all but 4 states.
The states and the Nation's Capital all have some desegregation, in fact some dating back to 1954 ; ;
Even if we marshal substantial agreement behind mandatory public education, we likely cannot expect that all the states will enact the legislation.
But it has achieved a cross-section of students from almost all the states, and two-thirds of its undergraduates come from outside New England.
Division six will be headed by the Coast Guard, followed by the reserve forces of all services, five states, Puerto Rico, the Virgin Islands, Guam, American Samoa, the trust territories and the Canal Zone.
At least 60 stations devote all of their time to reaching this audience in about half of the 50 states.
The first meeting was held in Faneuil Hall, a great big place where we were able to meet members from all the other states.
Southern China, all of southeast Asia, southern India and Ceylon, these states of the Malay Federation spoke Bazaar.
His efforts toward the abolition of slavery include issuing his Emancipation Proclamation in 1863, encouraging the border states to outlaw slavery, and helping push through Congress the Thirteenth Amendment to the United States Constitution, which finally freed all the black slaves nationwide in December 1865.
Winning entirely on the strength of his support in the North and West, no ballots were cast for him in 10 of the 15 Southern slave states, and he won only two of 996 counties in all the Southern states.
On April 15, Lincoln called on all the states to send detachments totaling 75, 000 troops to recapture forts, protect Washington, and " preserve the Union ", which, in his view, still existed intact despite the actions of the seceding states.
In it, he stated that " as a fit and necessary military measure, on January 1, 1863, all persons held as slaves in the Confederate states will thenceforward, and forever, be free.
Once the abolition of slavery in the rebel states became a military objective, as Union armies advanced south, more slaves were liberated until all three million of them in Confederate territory were freed.

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