Journal of Formalized Mathematics
Volume 11, 1999
University of Bialystok
Copyright (c) 1999
Association of Mizar Users
Predicate Calculus for Boolean Valued Functions. Part XII

Shunichi Kobayashi

Ueda Multimedia Information Center, Nagano
Summary.

In this paper, we proved some elementary predicate calculus
formulae containing the quantifiers of Boolean valued functions
with respect to partitions. Such a theory is an analogy of ordinary
predicate logic.
The terminology and notation used in this paper have been
introduced in the following articles
[11]
[10]
[2]
[13]
[8]
[14]
[1]
[12]
[3]
[4]
[15]
[9]
[6]
[5]
[7]
Contents (PDF format)
Bibliography
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 [2]
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 [5]
Shunichi Kobayashi and Kui Jia.
A theory of Boolean valued functions and partitions.
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 [6]
Shunichi Kobayashi and Kui Jia.
A theory of partitions. Part I.
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A theory of Boolean valued functions and quantifiers with respect to partitions.
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Equivalence relations and classes of abstraction.
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 [11]
Andrzej Trybulec.
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 [12]
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Received December 28, 1999
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