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Early Examples of Resource-Consciousness
Authors:Pambuccian  Victor
Affiliation:(1) Department of Integrative Studies, Arizona State University West, P. O. Box 37100 Phoenix, AZ 85069-7100, U.S.A.
Abstract:As with the development of several logical notions, it is shown that the concept of resource-consciousness, i. e. the concern over the number of times that a given sentence is used in the proof of another sentence, has its origin in the foundations of geometry, pre-dating its appearence in logical circles as BCK-logic or affine logic.
Keywords:BCK logic  affine logic  projective geometry  Pappus and Desargues axioms  Pythagorean theorem
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