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arXiv · 1011.2790

Towards Theory of Massive-Parallel Proofs. Cellular Automata Approach

Andrew Schumann
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Abstract

In the paper I sketch a theory of massively parallel proofs using cellular automata presentation of deduction. In this presentation inference rules play the role of cellular-automatic local transition functions. In this approach we completely avoid axioms as necessary notion of deduction theory and therefore we can use cyclic proofs without additional problems. As a result, a theory of massive-parallel proofs within unconventional computing is proposed for the first time.

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Andrew Schumann. 2010-11-11. Towards Theory of Massive-Parallel Proofs. Cellular Automata Approach. https://arxiv.org/abs/1011.2790

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