A Machine Program for Theorem Proving
A Machine Program for Theorem Proving
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In our eReader you can find the full English version of the book. Read A Machine Program for Theorem Proving Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Machine Program for Theorem Proving
What reading level is A Machine Program for Theorem Proving book?
To quickly assess the difficulty of the text, read a short excerpt:
ix o:^ fi) ' — . ■ ■ .. '»•>• • • ■ ^ :ol 9r' : ■'ieij'iO \C: ((3): :'r?. ! ^. Iioi!' iisri:!' QH'o!! . ErS;. I;* siii^ 10 in the matrix) .
The program generates the needed n-tuples by producing all possible n-tuples of integers x-jhose sum W of entries is fixed, N=n, n+1, .... Thus it is only necessary to consider the n-tuple which has the maximum sura of entries. In this case, the substitu- tion u = s, V = I(s), w = e, X = KKs)), y = e, z = I(s) (required for axiom k to produce the clause 6 i...n the "proof" above in a quantifier-free line) gives the n-tuple with maximuin sum. The n-tuple is seen to be (2, 3, 1, 5, 1>3 ), the sum equals l5» The combinatorial expression [ ) gives the totol number of n-tuples of positive integers whose sum is less then or equal to N« It is seen that to prove this theorem at least ( /^ / ~ 3003 lines must be generated and that the inconsistency will be found on or before \ ^ ) - 5005 lines have been generated.^ The present program generated approximately 130O quantifier free lines.
What to read after A Machine Program for Theorem Proving?
You can find similar books in the "Read Also" column, or choose other free books by Martin Davis to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
ix o:^ fi) ' — . ■ ■ .. '»•>• • • ■ ^ :ol 9r' : ■'ieij'iO \C: ((3): :'r?. ! ^. Iioi!' iisri:!' QH'o!! . ErS;. I;* siii^ 10 in the matrix) .
The program generates the needed n-tuples by producing all possible n-tuples of integers x-jhose sum W of entries is fixed, N=n, n+1, .... Thus it is only necessary to consider the n-tuple which has the maximum sura of entries. In this case, the substitu- tion u = s, V = I(s), w = e, X = KKs)), y = e, z = I(s) (required for axiom k to produce the clause 6 i...n the "proof" above in a quantifier-free line) gives the n-tuple with maximuin sum. The n-tuple is seen to be (2, 3, 1, 5, 1>3 ), the sum equals l5» The combinatorial expression [ ) gives the totol number of n-tuples of positive integers whose sum is less then or equal to N« It is seen that to prove this theorem at least ( /^ / ~ 3003 lines must be generated and that the inconsistency will be found on or before \ ^ ) - 5005 lines have been generated.^ The present program generated approximately 130O quantifier free lines.
What to read after A Machine Program for Theorem Proving?
You can find similar books in the "Read Also" column, or choose other free books by Martin Davis to read onlineMoreLess
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