Many-valued logic
From Wiki @ Karl Jones dot com
In logic, a many-valued logic (also multi- or multiple-valued logic) is a propositional calculus in which there are more than two truth values.
Contents
Description
Traditionally, in Aristotle's logical calculus, there were only two possible values (i.e., "true" and "false") for any proposition. Classical two-valued logic may be extended to n-valued logic for n greater than 2. Those most popular in the literature are three-valued (e.g., Łukasiewicz's and Kleene's, which accept the values "true", "false", and "unknown"), the finite-valued (finitely-many valued) with more than three values, and the infinite-valued (infinitely-many valued), such as fuzzy logic and probability logic.
See also
Mathematical logic
- Degrees of truth
- Fuzzy logic
- Gödel logic
- Kleene logic
- Kleene algebra (with involution)
- Łukasiewicz logic
- MV-algebra
- Post logic
- Principle of bivalence
- A. N. Prior
- Relevance logic
Philosophical logic
Digital logic
- MVCML, multiple-valued current-mode logic
- IEEE 1164, a nine-valued standard for VHDL
- IEEE 1364, a four-valued standard for Verilog
- Three-state logic
- Noise-based logic
External links
- Many-valued logic @ Wikipedia