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Paraconsistency of Interactive Computation

Dina Goldin·Peter Wegner
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Abstract

The goal of computational logic is to allow us to model computation as well as to reason about it. We argue that a computational logic must be able to model interactive computation. We show that first-order logic cannot model interactive computation due to the incompleteness of interaction. We show that interactive computation is necessarily paraconsistent, able to model both a fact and its negation, due to the role of the world (environment) in determining the course of the computation. We conclude that paraconsistency is a necessary property for a logic that can model interactive computation.

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Dina Goldin, Peter Wegner. 2002-07-21. Paraconsistency of Interactive Computation. https://arxiv.org/abs/cs/0207074

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