recursive set वाक्य
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- The primitive recursive ordinal functions are the same as the primitive recursive set functions that map ordinals to ordinals.
- The proof above shows that for each recursively enumerable set of axioms there is a recursive set of axioms with the same deductive closure.
- A decision problem " A " is called decidable or effectively solvable if " A " is a recursive set.
- A set " A " is a recursive set if and only if " A " and the total computable function is a recursive set.
- A set " A " is a recursive set if and only if " A " and the total computable function is a recursive set.
- :: : 2 . ) ( Abstract Complexity ) Looking at the structural ( topological, algebraic, etc ) properties of recursive sets, generalizing this notion.
- If "'L "'is finitely axiomatizable ( and has a recursive set of recursive rules ) and has the fmp, then it is decidable.
- A primitive recursive set function is a function from sets to sets that can be obtained from the following basic functions by repeatedly applying the following rules of substitution and recursion:
- :For any turing machine A, B and recursive set R there is a machine C so C ( p ) = A ( p ) if p is in R and B ( p ) otherwise.
- John McCarthy posed a puzzle to him about spies, guards, and password which Rabin studied and soon after he wrote an article, " Degree of Difficulty of Computing a Function and Hierarchy of Recursive Sets ."
- These two forces are put into conflict by the fact that given a model with a recursive coding on the natural numbers, any formula with bounded quantifiers and finitely many parameters will produce a recursive set of natural numbers consisting of the codes of the elements for which the formula holds.
- A formal parsing system G = ( V, & mu;, T, R ) consists of two finite disjoint vocabularies, V and T, a many-many map, & mu;, from V onto T, and a recursive set R of strings in T called syntactic sentence classes . ..
- If the elements of M were to be coded onto the ( standard ) natural numbers in such a way that the addition and multiplication operations of the model were recursive functions on the codes, then every subset of the model defined by a first-order formula with finitely many parameters and bounded quantifiers is a recursive set of natural numbers.
- Many degrees with special properties were constructed : " hyperimmune-free degrees " where every function computable relative to that degree is majorized by a ( unrelativized ) computable function; " high degrees " relative to which one can compute a function " f " which dominates every computable function " g " in the sense that there is a constant " c " depending on " g " such that " g ( x ) < f ( x ) " for all " x > c "; " random degrees " containing limit-recursive sets.
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