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12

IGPL
2008

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Complete Axiomatisations of Properties of Finite Sets

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Complete Axiomatisations of Properties of Finite Sets

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We study a logic whose formulae are interpreted as properties of a finite set over some universe. The language is propositional, with two unary operators inclusion and extension, both taking a finite set as argument. We present a basic Hilbert-style axiomatisation, and study its completeness. The main results are syntactic and semantic characterisations of complete extensions of the logic.

Thomas Ågotnes, Michal Walicki

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Basic Hilbert-style Axiomatisation | IGPL 2008 | Semantic Characterisations | Unary Operators Inclusion |

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Added	12 Dec 2010
Updated	12 Dec 2010
Type	Journal
Year	2008
Where	IGPL
Authors	Thomas Ågotnes, Michal Walicki

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