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.
Authors
- Fernando Cano-Jorge (ORCID: https://orcid.org/0000-0003-2835-6394)
Institutions
- University of Canterbury (NZ)
- Christ University (IN)
- University of Otago (NZ)
- Universidad Panamericana (MX)
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
Funders
- Royal Society Te Apārangi
- Marsden Fund