primitive recursive equality

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• Primitive recursive arithmetic — Primitive recursive arithmetic, or PRA, is a quantifier free formalization of the natural numbers. It was first proposed by Skolem [Thoralf Skolem (1923) The foundations of elementary arithmetic in Jean van Heijenoort, translator and ed. (1967)… …   Wikipedia

• Μ-recursive function — In mathematical logic and computer science, the μ recursive functions are a class of partial functions from natural numbers to natural numbers which are computable in an intuitive sense. In fact, in computability theory it is shown that the μ… …   Wikipedia

• μ-recursive function — In mathematical logic and computer science, the μ recursive functions are a class of partial functions from natural numbers to natural numbers which are computable in an intuitive sense. In fact, in computability theory it is shown that the μ… …   Wikipedia

• McCarthy Formalism — In computer science and recursion theory the McCarthy Formalism (1963) of computer scientist John McCarthy clarifies the notion of recursive functions by use of the IF THEN ELSE construction common to computer science, together with the four of… …   Wikipedia

• metalogic — /met euh loj ik/, n. the logical analysis of the fundamental concepts of logic. [1835 45; META + LOGIC] * * * Study of the syntax and the semantics of formal languages and formal systems. It is related to, but does not include, the formal… …   Universalium

• mathematics, 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… …   Universalium

• First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …   Wikipedia

• Counter 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… …   Wikipedia

• Propositional calculus — In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted as representing propositions. A system of inference rules… …   Wikipedia

• Gödel numbering for sequences — A Gödel numbering for sequences provides us an effective way to represent each finite sequence of natural numbers as a single natural number. Of course, the embedding is surely possible set theoretically, but the emphasis is on the effectiveness… …   Wikipedia

• Intuitionistic type theory — Intuitionistic type theory, or constructive type theory, or Martin Löf type theory or just Type Theory is a logical system and a set theory based on the principles of mathematical constructivism. Intuitionistic type theory was introduced by Per… …   Wikipedia