Gates and circuits via Dunn semantics

Abstract Computer hardware is heavily reliant on classical logic, but could we use some non-classical logic instead? In this paper I suggest an alternative model of implementation of logic gates in electronics. In particular, I propose a model that takes descriptions of logical connectives through means of Dunn semantics and implements them as logic gates by using a double current system: one for truth and one for falsity, instead of the classical use of a single current for both values. The outcome of this proposal should pave the way to new models of non-classical and even contra-classical computation based on paraconsistent, paracomplete and paranormal logics.

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Publication Details

Journal
Journal of Logic and Computation
Published
2025-04-24
DOI
https://doi.org/10.1093/logcom/exaf033
Citations
1
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
1.50

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article

Gates and circuits via Dunn semantics

Fernando Cano-Jorge
1 citations
Journal of Logic and Computation
Computability, Logic, AI Algorithms
1.50
article

Gates and circuits via Dunn semantics

Fernando Cano-Jorge
article en
1 citations

Abstract

Abstract Computer hardware is heavily reliant on classical logic, but could we use some non-classical logic instead? In this paper I suggest an alternative model of implementation of logic gates in electronics. In particular, I propose a model that takes descriptions of logical connectives through means of Dunn semantics and implements them as logic gates by using a double current system: one for truth and one for falsity, instead of the classical use of a single current for both values. The outcome of this proposal should pave the way to new models of non-classical and even contra-classical computation based on paraconsistent, paracomplete and paranormal logics.

Journal of Logic and ComputationVol. 35(4)
University of Canterbury (NZ), Christ University (IN), University of Otago (NZ), Universidad Panamericana (MX)
Royal Society Te Apārangi, Marsden Fund
Openalex Percentile: Top 16%
Computability, Logic, AI Algorithms
1.50
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Gates and circuits via Dunn semantics — Fernando Cano-Jorge · Journal of Logic and Computation (2025) | TGRS Research Map | TGRS