命題の真理値表を作る¬q [(pΛq)V〜p]?

命題の真理値表を作る¬q [(pΛq)V〜p]?
Anonim

回答:

下記参照。

説明:

与えられた: #p - > (p ^^ q)vv〜p#

論理演算子:# "pではない:" pではない、〜p; "and:" ^^;または:vv#

論理テーブル、否定:

#ul(| "" p | "" q | ""〜p | ""〜q |)#ul

# "" T | "" T | "" F | "" F |#

# "" T | "" F | "" F | "" T |#

# "" F | "" T | "" T | "" F |#

# "" F | "" F | "" T | "" T |#

論理テーブル、および/または:

#ul(| "" p | "" q | "" p ^^ q "" | "" qvvq "" |)#ul

#| "" T | "" T | "" T "" | "" T "" |#

#| "" T | "" F | "" F "" | "" T "" |#

#| "" F | "" T | "" F "" | "" T "" |#

#| "" F | "" F | "" F "" | "" F "" |#

その場合、論理テーブル

#ul(| "" p | "" q | "" p-> q "" |)#ul

#| "" T | "" T | "" T "" |#

#| "" T | "" F | "" F "" |#

#| "" F | "" T | "" T "" |#

#| "" F | "" F | "" T "" |#

論理命題パート1を考えると:

#ul(| "" p ^^ q "" | ""〜p "" | ""(p ^^ q)vv〜p |)#

#| "" T "" | "" F "" | "" T "" |#

#| "" F "" | "" F "" | "" F "" |#

#| "" F "" | "" T "" | "" T "" |#

#| "" F "" | "" T "" | "" T "" |#

論理命題パート2を考えると:

#ul(| ""〜q "" | ""(p ^^ q)vv〜p | ""〜q - >(p ^^ q)vv〜p |)#

#| "" F "" | "" T "" | "" T "" |#

#| "" T "" | "" F "" | "" F "" |#

#| "" F "" | "" T "" | "" T "" |#

#| "" T "" | "" T "" | "" T "" |#