* Paper available: Clone Theory and Algebraic Logic
@ 2009-07-28 18:36 Zhaohua Luo
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From: Zhaohua Luo @ 2009-07-28 18:36 UTC (permalink / raw)
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The paper "Clone Theory and Algebraic Logic"
is available at
http://www.algebraic.net/ctal
The concept of a clone is central to many branches of mathematics, such as universal algebra, algebraic logic, and lambda calculus. Abstractly a clone is a category with two objects such that one is a countably infinite power of the other. Left and right algebras over a clone are covariant and contravariant functors from the category to that of sets respectively. In this paper we show that first-order logic can be studied effectively using the notions of right and left algebras over a clone. It is easy to translate the classical treatment of logic into our setting and prove all the fundamental theorems of first-order theory algebraically.
Zhaohua Luo
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2009-07-28 18:36 Paper available: Clone Theory and Algebraic Logic Zhaohua Luo
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