Examples of using Computability in English and their translations into Portuguese
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Yamada introduced the notion of real-time computability.
Similarly, Tarski's indefinability theorem can be interpreted both in terms of definability and in terms of computability.
The field has since grown to include the study of generalized computability and definability.
The Church-Turing thesis attempts to define computation and computability in terms of Turing machines.
are incomparable to, Turing computability.
A central idea in computability is that of a(computational) problem, which is a task whose computability can be explored.
For this reason every form of knowledge representation is in some sense a trade off between expressivity and computability.
Therefore, formal language theory is a major application area of computability theory and complexity theory.
formal languages, computability, and computational complexity.
Boolos coauthored with Richard Jeffrey the first three editions of the classic university text on mathematical logic, Computability and Logic.
Computable functions are used to discuss computability without referring to any concrete model of computation such as Turing machines or register machines.
Some of the key areas of logic that are particularly significant are computability theory(formerly called recursion theory),
In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem.
In computability theory Post's theorem,
In computability theory, a truth-table reduction is a reduction from one set of natural numbers to another.
In set theory and computability theory, Kleene's O{\displaystyle{\mathcal{O}}} is a canonical subset of the natural numbers when regarded as ordinal notations.
These hierarchies reveal many relationships between definability in this structure and computability theory, and are also of interest in descriptive set theory.
This work is the use ofaims to use quantum computability to solve difficult decision problems.
In addition to encoding computability, the T predicate can be used to generate complete sets in the arithmetical hierarchy.
The first result of computability theory is that there exist problems for which it is impossible to predict what a(Turing-complete)