Elementary function arithmetic

id: elementary-function-arithmetic-323-15916055
title: Elementary function arithmetic
text: In proof theory, a branch of mathematical logic, elementary function arithmetic (EFA), also called elementary arithmetic and exponential function arithmetic, is the system of arithmetic with the usual elementary properties of 0, 1, +, ×,  x y , together with induction for formulas with bounded quantifiers. EFA is a very weak logical system, whose proof theoretic ordinal is ω 3 , but still seems able to prove much of ordinary mathematics that can be stated in the language of first-order arithmeti
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category slug: encyclopedia
description: System of arithmetic in proof theory
original url: https://en.wikipedia.org/wiki/Elementary_function_arithmetic
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date modified: 2023-08-22T20:32:57Z
main entity: {"identifier":"Q5358906","url":"https://www.wikidata.org/entity/Q5358906"}
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integrity: 14

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