The logic of knights, knaves, normals and mutes (Q2714399)
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scientific article; zbMATH DE number 1604326
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The logic of knights, knaves, normals and mutes |
scientific article; zbMATH DE number 1604326 |
Statements
13 June 2001
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modal logic
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logic puzzles
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intensional operators
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The logic of knights, knaves, normals and mutes (English)
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As an aid to analyse some Smullyan's puzzles, the author considers an extension of classical propositional logic by three operators \(\text{T}_{x}, \text{F}_{x}, \text{S}_{x}A\) for \(x\) can say (only) true statements, (only) false statements, or the statement \(A\), respectively. He gives a suitable semantics, and an adequate axiomatization for the logically valid formulas via some sequent calculus. Some applications to suitable logic puzzles are sketched.
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