general recursive set
31Church–Turing thesis — Church s thesis redirects here. For the constructive mathematics assertion, see Church s thesis (constructive mathematics). In computability theory, the Church–Turing thesis (also known as the Church–Turing conjecture, Church s thesis, Church s… …
32mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… …
33Algorithm — Flow chart of an algorithm (Euclid s algorithm) for calculating the greatest common divisor (g.c.d.) of two numbers a and b in locations named A and B. The algorithm proceeds by successive subtractions in two loops: IF the test B ≤ A yields yes… …
34Computable function — Total recursive function redirects here. For other uses of the term recursive function , see Recursive function (disambiguation). Computable functions are the basic objects of study in computability theory. Computable functions are the formalized …
35Counter machine models — This page supplements counter machine. Although some authors use the name register machine synonymously with counter machine , this article will give details and examples of only of the most primitive species the counter machine of the genus… …
36μ operator — In computability theory, the μ operator, minimization operator, or unbounded search operator searches for the least natural number with a given property. Contents 1 Definition 2 Properties 3 Examples …
37Logic — For other uses, see Logic (disambiguation). Philosophy …
38Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… …
39Model theory — This article is about the mathematical discipline. For the informal notion in other parts of mathematics and science, see Mathematical model. In mathematics, model theory is the study of (classes of) mathematical structures (e.g. groups, fields,… …
40Ackermann function — In recursion theory, the Ackermann function or Ackermann Péter function is a simple example of a general recursive function that is not primitive recursive. General recursive functions are also known as computable functions. The set of primitive… …
