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Witness (Mathematics)
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Geliefert zwischen Mo., 26.01.2026 und Di., 27.01.2026
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High Quality Content by WIKIPEDIA articles! For example, a theory T of arithmetic is said to be inconsistent if there exists a proof in T of the formula "0=1". The formula I(T), which says that T is inconsistent, is thus an existential formula. A witness for the inconsistency of T is a particular proof of "0 = 1" in T. Boolos, Burgess, and Jeffrey (2002:81) define the notion of a witness with the example, in which S is an n-place relation on natural numbers, R is an n-place recursive relation, and indicates logical equivalence (if and only if):" S(x1, ..., xn) y R(x1, . . ., xn, y) " A y such that R holds of the xi may be called a 'witness' to the relation S holding of the xi (provided we understand that when the witness is a number rather than a person, a witness only testifies to what is true)." In this particular example, B-B-J have defined s to be (positively) recursively semidecidable, or simply semirecursive.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131176494
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131176494
- Format Fachbuch
- Titel Witness (Mathematics)
- Herausgeber Betascript Publishing
- Anzahl Seiten 72
- Genre Mathematik
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