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  #1  
Old   
aarklon@gmail.com
 
Posts: n/a

Default BCNF - 08-01-2008 , 04:45 AM






Hi all,

BCNF

the following is the definition is the definition of BCNF , which i
saw in a schaum series book

1) The relation is 1 N.F

2) for every functional dependency of the form X -> A , we have
either A C X or X is a super key of r. in other words,
every functional dependency is either a trivial dependency or in
the case that the functional dependency is not trivial then X must
be a super key.

now my questions are as follows

1)

we know that 2-ND normal form is all about separating partial
dependencies and full dependencies.third normal form is all about
removing transitive dependencies, in these lines can any one give
simple/ easy to understand method/explanation for converting a
relation in 3rd normal form to BCNF


2) how correct is the following definition of transitive
dependencies


transitive dependencies

assume that A,B, and C are the set of attributes of a relation(R).
further assume that the following
functional dependencies are satisfied simultaneously : A -> B , B -/-
Quote:
A, B -> C , and C -/-> A and A -> C
observe that C -> B is neither prohibited nor required. if all these
conditions are true, we will say that attribute C is transitively
dependent on attribute on A



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  #2  
Old   
DA Morgan
 
Posts: n/a

Default Re: BCNF - 08-01-2008 , 10:49 AM






aarklon (AT) gmail (DOT) com wrote:
Quote:
Hi all,

BCNF

the following is the definition is the definition of BCNF , which i
saw in a schaum series book

1) The relation is 1 N.F

2) for every functional dependency of the form X -> A , we have
either A C X or X is a super key of r. in other words,
every functional dependency is either a trivial dependency or in
the case that the functional dependency is not trivial then X must
be a super key.

now my questions are as follows

1)

we know that 2-ND normal form is all about separating partial
dependencies and full dependencies.third normal form is all about
removing transitive dependencies, in these lines can any one give
simple/ easy to understand method/explanation for converting a
relation in 3rd normal form to BCNF


2) how correct is the following definition of transitive
dependencies


transitive dependencies

assume that A,B, and C are the set of attributes of a relation(R).
further assume that the following
functional dependencies are satisfied simultaneously : A -> B , B -/-
A, B -> C , and C -/-> A and A -> C
observe that C -> B is neither prohibited nor required. if all these
conditions are true, we will say that attribute C is transitively
dependent on attribute on A
Personally I prefer the following definition:

Boyce Codd Normal Form (BCNF) is a further refinement of 3NF. In his
later writings Codd refers to BCNF as 3NF. A row is in Boyce Codd normal
form if, and only if, every determinant is a candidate key. Most
entities in 3NF are already in BCNF.

BCNF covers very specific situations where 3NF misses inter-dependencies
between non-key (but candidate key) attributes. Typically, any relation
that is in 3NF is also in BCNF. However, a 3NF relation won't be in BCNF
if (a) there are multiple candidate keys, (b) the keys are composed of
multiple attributes, and (c) there are common attributes between the keys.
--
Daniel A. Morgan
Oracle Ace Director & Instructor
University of Washington
damorgan@x.washington.edu (replace x with u to respond)
Puget Sound Oracle Users Group
www.psoug.org


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  #3  
Old   
DA Morgan
 
Posts: n/a

Default Re: BCNF - 08-01-2008 , 10:49 AM



aarklon (AT) gmail (DOT) com wrote:
Quote:
Hi all,

BCNF

the following is the definition is the definition of BCNF , which i
saw in a schaum series book

1) The relation is 1 N.F

2) for every functional dependency of the form X -> A , we have
either A C X or X is a super key of r. in other words,
every functional dependency is either a trivial dependency or in
the case that the functional dependency is not trivial then X must
be a super key.

now my questions are as follows

1)

we know that 2-ND normal form is all about separating partial
dependencies and full dependencies.third normal form is all about
removing transitive dependencies, in these lines can any one give
simple/ easy to understand method/explanation for converting a
relation in 3rd normal form to BCNF


2) how correct is the following definition of transitive
dependencies


transitive dependencies

assume that A,B, and C are the set of attributes of a relation(R).
further assume that the following
functional dependencies are satisfied simultaneously : A -> B , B -/-
A, B -> C , and C -/-> A and A -> C
observe that C -> B is neither prohibited nor required. if all these
conditions are true, we will say that attribute C is transitively
dependent on attribute on A
Personally I prefer the following definition:

Boyce Codd Normal Form (BCNF) is a further refinement of 3NF. In his
later writings Codd refers to BCNF as 3NF. A row is in Boyce Codd normal
form if, and only if, every determinant is a candidate key. Most
entities in 3NF are already in BCNF.

BCNF covers very specific situations where 3NF misses inter-dependencies
between non-key (but candidate key) attributes. Typically, any relation
that is in 3NF is also in BCNF. However, a 3NF relation won't be in BCNF
if (a) there are multiple candidate keys, (b) the keys are composed of
multiple attributes, and (c) there are common attributes between the keys.
--
Daniel A. Morgan
Oracle Ace Director & Instructor
University of Washington
damorgan@x.washington.edu (replace x with u to respond)
Puget Sound Oracle Users Group
www.psoug.org


Reply With Quote
  #4  
Old   
DA Morgan
 
Posts: n/a

Default Re: BCNF - 08-01-2008 , 10:49 AM



aarklon (AT) gmail (DOT) com wrote:
Quote:
Hi all,

BCNF

the following is the definition is the definition of BCNF , which i
saw in a schaum series book

1) The relation is 1 N.F

2) for every functional dependency of the form X -> A , we have
either A C X or X is a super key of r. in other words,
every functional dependency is either a trivial dependency or in
the case that the functional dependency is not trivial then X must
be a super key.

now my questions are as follows

1)

we know that 2-ND normal form is all about separating partial
dependencies and full dependencies.third normal form is all about
removing transitive dependencies, in these lines can any one give
simple/ easy to understand method/explanation for converting a
relation in 3rd normal form to BCNF


2) how correct is the following definition of transitive
dependencies


transitive dependencies

assume that A,B, and C are the set of attributes of a relation(R).
further assume that the following
functional dependencies are satisfied simultaneously : A -> B , B -/-
A, B -> C , and C -/-> A and A -> C
observe that C -> B is neither prohibited nor required. if all these
conditions are true, we will say that attribute C is transitively
dependent on attribute on A
Personally I prefer the following definition:

Boyce Codd Normal Form (BCNF) is a further refinement of 3NF. In his
later writings Codd refers to BCNF as 3NF. A row is in Boyce Codd normal
form if, and only if, every determinant is a candidate key. Most
entities in 3NF are already in BCNF.

BCNF covers very specific situations where 3NF misses inter-dependencies
between non-key (but candidate key) attributes. Typically, any relation
that is in 3NF is also in BCNF. However, a 3NF relation won't be in BCNF
if (a) there are multiple candidate keys, (b) the keys are composed of
multiple attributes, and (c) there are common attributes between the keys.
--
Daniel A. Morgan
Oracle Ace Director & Instructor
University of Washington
damorgan@x.washington.edu (replace x with u to respond)
Puget Sound Oracle Users Group
www.psoug.org


Reply With Quote
  #5  
Old   
DA Morgan
 
Posts: n/a

Default Re: BCNF - 08-01-2008 , 10:49 AM



aarklon (AT) gmail (DOT) com wrote:
Quote:
Hi all,

BCNF

the following is the definition is the definition of BCNF , which i
saw in a schaum series book

1) The relation is 1 N.F

2) for every functional dependency of the form X -> A , we have
either A C X or X is a super key of r. in other words,
every functional dependency is either a trivial dependency or in
the case that the functional dependency is not trivial then X must
be a super key.

now my questions are as follows

1)

we know that 2-ND normal form is all about separating partial
dependencies and full dependencies.third normal form is all about
removing transitive dependencies, in these lines can any one give
simple/ easy to understand method/explanation for converting a
relation in 3rd normal form to BCNF


2) how correct is the following definition of transitive
dependencies


transitive dependencies

assume that A,B, and C are the set of attributes of a relation(R).
further assume that the following
functional dependencies are satisfied simultaneously : A -> B , B -/-
A, B -> C , and C -/-> A and A -> C
observe that C -> B is neither prohibited nor required. if all these
conditions are true, we will say that attribute C is transitively
dependent on attribute on A
Personally I prefer the following definition:

Boyce Codd Normal Form (BCNF) is a further refinement of 3NF. In his
later writings Codd refers to BCNF as 3NF. A row is in Boyce Codd normal
form if, and only if, every determinant is a candidate key. Most
entities in 3NF are already in BCNF.

BCNF covers very specific situations where 3NF misses inter-dependencies
between non-key (but candidate key) attributes. Typically, any relation
that is in 3NF is also in BCNF. However, a 3NF relation won't be in BCNF
if (a) there are multiple candidate keys, (b) the keys are composed of
multiple attributes, and (c) there are common attributes between the keys.
--
Daniel A. Morgan
Oracle Ace Director & Instructor
University of Washington
damorgan@x.washington.edu (replace x with u to respond)
Puget Sound Oracle Users Group
www.psoug.org


Reply With Quote
  #6  
Old   
David Portas
 
Posts: n/a

Default Re: BCNF - 08-02-2008 , 06:39 AM



"DA Morgan" <damorgan (AT) psoug (DOT) org> wrote

Quote:
aarklon (AT) gmail (DOT) com wrote:
Hi all,

BCNF

the following is the definition is the definition of BCNF , which i
saw in a schaum series book

1) The relation is 1 N.F

2) for every functional dependency of the form X -> A , we have
either A C X or X is a super key of r. in other words,
every functional dependency is either a trivial dependency or in
the case that the functional dependency is not trivial then X must
be a super key.

now my questions are as follows

1)

we know that 2-ND normal form is all about separating partial
dependencies and full dependencies.third normal form is all about
removing transitive dependencies, in these lines can any one give
simple/ easy to understand method/explanation for converting a
relation in 3rd normal form to BCNF


2) how correct is the following definition of transitive
dependencies


transitive dependencies

assume that A,B, and C are the set of attributes of a relation(R).
further assume that the following
functional dependencies are satisfied simultaneously : A -> B , B -/-
A, B -> C , and C -/-> A and A -> C
observe that C -> B is neither prohibited nor required. if all these
conditions are true, we will say that attribute C is transitively
dependent on attribute on A

Personally I prefer the following definition:

Boyce Codd Normal Form (BCNF) is a further refinement of 3NF. In his later
writings Codd refers to BCNF as 3NF. A row is in Boyce Codd normal form
if, and only if, every determinant is a candidate key.
To be precise: A relation is in BCNF if and only if every non-trivial
determinant is a SUPER key. Sometimes paraphrased as "arrows out of super
keys".

3NF is arguably a mistake because it is concerned only with dependent
non-prime attributes. BCNF is much more important than 3NF although it
should be understood that BCNF is not dependency-preserving whereas 3NF is.

--
David Portas




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  #7  
Old   
David Portas
 
Posts: n/a

Default Re: BCNF - 08-02-2008 , 06:39 AM



"DA Morgan" <damorgan (AT) psoug (DOT) org> wrote

Quote:
aarklon (AT) gmail (DOT) com wrote:
Hi all,

BCNF

the following is the definition is the definition of BCNF , which i
saw in a schaum series book

1) The relation is 1 N.F

2) for every functional dependency of the form X -> A , we have
either A C X or X is a super key of r. in other words,
every functional dependency is either a trivial dependency or in
the case that the functional dependency is not trivial then X must
be a super key.

now my questions are as follows

1)

we know that 2-ND normal form is all about separating partial
dependencies and full dependencies.third normal form is all about
removing transitive dependencies, in these lines can any one give
simple/ easy to understand method/explanation for converting a
relation in 3rd normal form to BCNF


2) how correct is the following definition of transitive
dependencies


transitive dependencies

assume that A,B, and C are the set of attributes of a relation(R).
further assume that the following
functional dependencies are satisfied simultaneously : A -> B , B -/-
A, B -> C , and C -/-> A and A -> C
observe that C -> B is neither prohibited nor required. if all these
conditions are true, we will say that attribute C is transitively
dependent on attribute on A

Personally I prefer the following definition:

Boyce Codd Normal Form (BCNF) is a further refinement of 3NF. In his later
writings Codd refers to BCNF as 3NF. A row is in Boyce Codd normal form
if, and only if, every determinant is a candidate key.
To be precise: A relation is in BCNF if and only if every non-trivial
determinant is a SUPER key. Sometimes paraphrased as "arrows out of super
keys".

3NF is arguably a mistake because it is concerned only with dependent
non-prime attributes. BCNF is much more important than 3NF although it
should be understood that BCNF is not dependency-preserving whereas 3NF is.

--
David Portas




Reply With Quote
  #8  
Old   
David Portas
 
Posts: n/a

Default Re: BCNF - 08-02-2008 , 06:39 AM



"DA Morgan" <damorgan (AT) psoug (DOT) org> wrote

Quote:
aarklon (AT) gmail (DOT) com wrote:
Hi all,

BCNF

the following is the definition is the definition of BCNF , which i
saw in a schaum series book

1) The relation is 1 N.F

2) for every functional dependency of the form X -> A , we have
either A C X or X is a super key of r. in other words,
every functional dependency is either a trivial dependency or in
the case that the functional dependency is not trivial then X must
be a super key.

now my questions are as follows

1)

we know that 2-ND normal form is all about separating partial
dependencies and full dependencies.third normal form is all about
removing transitive dependencies, in these lines can any one give
simple/ easy to understand method/explanation for converting a
relation in 3rd normal form to BCNF


2) how correct is the following definition of transitive
dependencies


transitive dependencies

assume that A,B, and C are the set of attributes of a relation(R).
further assume that the following
functional dependencies are satisfied simultaneously : A -> B , B -/-
A, B -> C , and C -/-> A and A -> C
observe that C -> B is neither prohibited nor required. if all these
conditions are true, we will say that attribute C is transitively
dependent on attribute on A

Personally I prefer the following definition:

Boyce Codd Normal Form (BCNF) is a further refinement of 3NF. In his later
writings Codd refers to BCNF as 3NF. A row is in Boyce Codd normal form
if, and only if, every determinant is a candidate key.
To be precise: A relation is in BCNF if and only if every non-trivial
determinant is a SUPER key. Sometimes paraphrased as "arrows out of super
keys".

3NF is arguably a mistake because it is concerned only with dependent
non-prime attributes. BCNF is much more important than 3NF although it
should be understood that BCNF is not dependency-preserving whereas 3NF is.

--
David Portas




Reply With Quote
  #9  
Old   
David Portas
 
Posts: n/a

Default Re: BCNF - 08-02-2008 , 06:39 AM



"DA Morgan" <damorgan (AT) psoug (DOT) org> wrote

Quote:
aarklon (AT) gmail (DOT) com wrote:
Hi all,

BCNF

the following is the definition is the definition of BCNF , which i
saw in a schaum series book

1) The relation is 1 N.F

2) for every functional dependency of the form X -> A , we have
either A C X or X is a super key of r. in other words,
every functional dependency is either a trivial dependency or in
the case that the functional dependency is not trivial then X must
be a super key.

now my questions are as follows

1)

we know that 2-ND normal form is all about separating partial
dependencies and full dependencies.third normal form is all about
removing transitive dependencies, in these lines can any one give
simple/ easy to understand method/explanation for converting a
relation in 3rd normal form to BCNF


2) how correct is the following definition of transitive
dependencies


transitive dependencies

assume that A,B, and C are the set of attributes of a relation(R).
further assume that the following
functional dependencies are satisfied simultaneously : A -> B , B -/-
A, B -> C , and C -/-> A and A -> C
observe that C -> B is neither prohibited nor required. if all these
conditions are true, we will say that attribute C is transitively
dependent on attribute on A

Personally I prefer the following definition:

Boyce Codd Normal Form (BCNF) is a further refinement of 3NF. In his later
writings Codd refers to BCNF as 3NF. A row is in Boyce Codd normal form
if, and only if, every determinant is a candidate key.
To be precise: A relation is in BCNF if and only if every non-trivial
determinant is a SUPER key. Sometimes paraphrased as "arrows out of super
keys".

3NF is arguably a mistake because it is concerned only with dependent
non-prime attributes. BCNF is much more important than 3NF although it
should be understood that BCNF is not dependency-preserving whereas 3NF is.

--
David Portas




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