Operator logika: Perbedaan antara revisi

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Baris 39:
|main=Konjungsi
|title=Konjungsi
|notation=''P'' <math>\wedge</math> ''Q''<{{br/>}}''P'' & ''Q''<{{br/>}}''P''&nbsp;AND&nbsp;''Q''
|equivalents=''P'' <math>\not\rightarrow</math>¬''Q'' <{{br/>}} ¬''P'' <math>\not\leftarrow</math> ''Q'' <{{br/>}} ¬''P'' <math>\downarrow</math> ¬''Q''
|truthtable-tt=T
|truthtable-tf=F
Baris 50:
|main=Sheffer stroke
|title=Alternative denial
|notation=''P'' ↑ ''Q''<{{br/>}}''P'' &#124; ''Q'' <{{br/>}}''P''&nbsp;NAND&nbsp;''Q''
|equivalents=''P'' → ¬''Q'' <{{br/>}} ¬''P'' ← ''Q''<{{br/>}}¬''P'' {{or-}} ¬''Q''
|truthtable-tt=F
|truthtable-tf=T
Baris 62:
|main=Nonimplikasi material
|title=Nonimplikasi material
|notation=''P'' <math>\not\rightarrow</math> ''Q'' <{{br/>}} ''P'' <math>\not\supset</math> ''Q''
|equivalents=''P'' & ¬''Q'' <{{br/>}} ¬''P'' ↓ ''Q'' <{{br/>}} ¬''P'' <math>\not\leftarrow</math> ¬''Q''
|truthtable-tt=F
|truthtable-tf=T
Baris 73:
|main=Implikasi material
|title=Implikasi material
|notation=''P'' → ''Q'' <{{br/>}} ''P'' <math>\supset</math> ''Q''
|equivalents=''P'' ↑ ¬''Q'' <{{br/>}} ¬''P'' {{or-}} ''Q'' <{{br/>}} ¬''P'' ← ¬''Q''
|truthtable-tt=T
|truthtable-tf=F
Baris 108:
|main=Converse nonimplication
|title=Converse nonimplication
|notation=''P'' <math>\not\leftarrow</math> ''Q'' <{{br/>}} ''P'' <math>\not\subset</math> ''Q''
|equivalents=''P'' ↓ ¬''Q'' <{{br/>}} ¬''P'' & ''Q'' <{{br/>}} ¬''P'' <math>\not\rightarrow</math> ¬''Q''
|truthtable-tt=F
|truthtable-tf=F
Baris 119:
|main=Converse implication
|title=Converse implication
|notation=''P'' <math>\leftarrow</math> ''Q'' <{{br/>}} ''P'' <math>\subset</math> ''Q''
|equivalents=''P'' {{or-}} ¬''Q'' <{{br/>}} ¬''P'' ↑ ''Q'' <{{br/>}} ¬''P'' → ¬''Q''
|truthtable-tt=T
|truthtable-tf=T
Baris 154:
|main=Exclusive or
|title=Disjungsi eksklusif
|notation=''P'' <math>\not\leftrightarrow</math> ''Q'' <{{br/>}} ''P'' <math>\not\equiv</math> ''Q'' <{{br/>}} ''P'' <math>\oplus</math> ''Q''<{{br/>}}''P''&nbsp;XOR&nbsp;''Q''
|equivalents=''P'' {{eqv}} ¬''Q'' <{{br/>}} ¬''P'' {{eqv}} ''Q'' <{{br/>}} ¬''P'' <math>\not\leftrightarrow</math> ¬''Q''
|truthtable-tt=F
|truthtable-tf=T
Baris 165:
|main=Bikondisi
|title=Bikondisi
|notation=''P'' {{eqv}} ''Q'' <{{br/>}} ''P'' ≡ ''Q''<{{br/>}}''P''&nbsp;XNOR&nbsp;''Q''
|equivalents=''P'' <math>\not\leftrightarrow</math> ¬''Q'' <{{br/>}} ¬''P'' <math>\not\leftrightarrow</math> ''Q'' <{{br/>}} ¬''P'' {{eqv}} ¬''Q''
|truthtable-tt=T
|truthtable-tf=F
Baris 177:
|main=Disjungsi
|title=Disjungsi
|notation=''P'' {{or-}} ''Q''<{{br/>}}''P''&nbsp;OR&nbsp;''Q''
|equivalents=''P'' <math>\leftarrow</math> ¬''Q'' <{{br/>}} ¬''P'' → ''Q'' <{{br/>}} ¬''P'' ↑ ¬''Q''
|truthtable-tt=T
|truthtable-tf=T
Baris 188:
|main=Logical NOR
|title=Joint denial
|notation=''P'' ↓ ''Q''<{{br/>}}''P''&nbsp;NOR&nbsp;''Q''
|equivalents=''P'' <math>\not\leftarrow</math> ¬''Q'' <{{br/>}} ¬''P'' <math>\not\rightarrow</math> ''Q'' <{{br/>}} ¬''P'' {{and}} ¬''Q''
|truthtable-tt=F
|truthtable-tf=F