The finite representation property for composition, intersection, domain and range
2016 ◽
Vol 26
(06)
◽
pp. 1199-1215
Keyword(s):
We prove that the finite representation property holds for representation by partial functions for the signature consisting of composition, intersection, domain and range and for any expansion of this signature by the antidomain, fixset, preferential union, maximum iterate and opposite operations. The proof shows that, for all these signatures, the size of base required is bounded by a double-exponential function of the size of the algebra. This establishes that representability of finite algebras is decidable for all these signatures. We also give an example of a signature for which the finite representation property fails to hold for representation by partial functions.
1996 ◽
Vol 05
(01)
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pp. 9-24
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1978 ◽
Vol 31
(2)
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pp. 337-340
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2010 ◽
Vol 146-147
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pp. 1578-1582
1990 ◽
Vol 48
(2)
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pp. 410-411
1963 ◽
Vol 85
(1)
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pp. 39-42
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2015 ◽
Vol 29
(30)
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pp. 1550220
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