Tugas 3

August 26, 2022 | Author: Anonymous | Category: N/A
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DI@I : SIBO@ISVD DIJOAI DO@ : =59695;>5;9953>

SVNI[ UF]SF@VID ; I.U]FSF[S 9. mfrobia mfrobia viroimf viroimfbb prlplso prlplsosoldi soldibb ciro ciro pfrtidy pfrtidyiid iid mfrog mfrogut: ut: i.

Jogi [uso [usobl bl Mi`midn Mi`midn _ucalyldl _ucalyldl prfsocf prfsocfd d ]O `igi Mir Mirrikg rikg Lmi`i Lmi`i juni prfsocfd prfsocfd I`frogi I`frogi

m.

`iaisoswi `iaisoswi miru miru wijom `f`ig `f`igio io miju pua pua kfbidi kfbidi pua itiu itiu miju pua pua kfbidi aoti` aoti`

k.

Mf Mfro roti ti otu otu ci cig g `fdy `fdyfd fdid idngi ngid d

c. [iyi igid citidn citidn jjogi ogi siyi `f`pudyio `f`pudyio gfsf gfsf`piti `pitid d f. Jogi `iais `iaisoswi oswi rijod guboia,`ig guboia,`igi i OUGdyi OUGdyi mois ku`bi ku`biucf ucf =. @osibigid @osibigid I,M CID K icibia icibia viroimfb viroimfb prlpls prlplsosold osoldib ib  

I0 idci sigot hu

 

M0 idci ujoid

 

K0 idci bubus

Vmiabia fgsprfso blnogi mfrogut `fdjico pfrtidyiid cibi` miasi odcldfsoi: i.

I↝ ¬ M

m.   M ↝ ¬ K   k.   ¬ M ↝ K   c. ( I ∯ M ¼ ↝K  f.

( I ↝ ¬ K  ¼ ∪ ¼)

.

( I ∯ M ¼ ∪(¬ M ↝ K  ¼

JI^IMID 9. I. I 0 [usobl [usobl Mi`mid Mi`midn n _uca _ucalyl lyldl dl prfs prfsocf ocfd d ]O  

M 0Mirrikg Lmi`i juni prfsocfd I`frogi

M. I 0 `iaisoswi miru wijom wijom `f`igio miju pua kfb kfbidi idi pua   M 0 `iaisoswi miru wijom `f`igio miju pua kfbidi aoti` K. ¬ I 0¼ mfroti otu cig `fdyfdidngid  

C. I 0 siyi `f`pudyio gfsf`pitid

 

M 0 siyi igid citidn  F. I 0 jogi rijod guboia guboia  

M 0 `igi OUGdyi mois ku`biucf

04gfcui 9) I ↝ ¬ M =) I ∪ ¬ M ;) ¬ I  3) M↝ I  6) I ↝ M

 

=. @osibg @osibgid id I, M ci cid d K icibia icibia viro viroimf imfbb prlplr prlplrsol soldib dib : I 0 Idci sigot hu M 0 Idci ujoid K 0 Idci bubus Vmiabia fgsprfso mfrogut `fdjico pfrdyitiid cibi` Miaisi Odcldfsoi! 9) =)

I ↝ ¬M M ↝ ¬K

;)

¬M ↝ K

3)

(I ∯M) ↝ K

6)

(I ↝ ¬K) X (M ↝ ¬K)

8) (I ∯M) X (¬M∯ K) JI^IM : 9) 9)  

Jogi Idci sigot hu, `igi Idci cig ujoid.

=) =)  

Jogi Idci ujoid, `igi Idci cig bubus.

;) ;)  

Jogi Idci cig ujoid, `igi Idci bubus.

3) 3)   6) 6)  

Jogi Idci sigot hu cid ujoid, `igi Idci bubus. Jogi Idci sigot hu, `igi Idci cig bubus itiu Jogi Idci ujoid, `igi Idci cig

bubus. 8) 8)  

Idci sigot hu cid ujoid itiu Idci cig ujoid cid Idci bubus.

M. UL[SSF[S Muitbia timbf gfmfdirid ciro fgsprfso ‛ fgsprfso blnogi mfrogut: 9.   ¬ ¼ I ∯ ¬ M ¼ =. I ∯ (I ∪ M ¼ ;. ((¬I ∯ ¼  ¬ M ∯ K  ¼ ¼ ∪ ¼)) ∪ (I∯ K ¼   ¼ ∪

¬

∯M

∯ ¬M

3. )  ((( I ) ↝I)   6.   ¼ ↝M)↓ ¼ 8. I ∯ ((K ∪ M ¼ ↓ ¬ K ) >.   ¬((¬I ∯ M ¼ ↝ ¬ K ) ∪  I  1.   I ↛ ( M ↝ K ) ?. Ipig Ipigia ia dob dobio io gfm gfmfd fdir irid id c cir iroo (I Ɇ ¬) cid (I X ¬I)< 95. Ipig Ipigia ia (I ↝ M) ↝ K `f`pudyio dobio gfmfdirid yidn si`i cfdnid I ↝ (M ↝ K I)<

 

JI^IMID 9.   ¬ ¼ I ∯ ¬ M ¼

 

¬I   ¬ M   ¬

I

M

S

S

H

H

H

S H H

H S H

H S S

S H S

H H S

¼I

∯¬ M

¼

=. I ∯ (I ∪ M ¼

I

M

I ∯M

(I ∪ M ¼

I ∯ (I ∪ M ¼

S S H H

S H S H

S H H H

S S S H

S H H H

;. ((¬I ∯ ¼  ¬ M ∯ K  ¼ ¼ ∪ ¼)) ∪ (I∯ K ¼

I

M

K   ¬I   ¬ M   ¼

¼))

(I∯ K ¼

((¬I ∯ ¼  ¬ M ∯ K  ¼ ¼ ∪ ¼)) ∪ (I∯ K ¼

¬ M ∯ K  ¼ ¼

SSSS S

H

S

H

S

S

H

S

H

S

H

H

H

S

H

H

H

H

S

H

S

H

S

S

H

H

H

S

H

H

H

S

H

H

H

H

H

S

S

S

H

H

H

H

H

H

S

H

S

H

H

H

H

H

H

S

S

S

H

H

S

H

H

H

S

H

S

H

H

H

H

H

 

3.   ¼) ∪ (((¬I ∯ M ) ↝I) ∯ ¬ M

 

¬I

I

M

K

S

H

S

H

S S S H H H H

H H H S S S S

H S H S H S H

H H H S S S S

¼

6.  ↝M)↓

 

¼)

(((¬I ∯ M ¼   ¼) ∪ (((¬I ∯ M ) ↝I) ∯ ¬ M

S

H

H

H

S S S H H H H

H H H S H S H

H H H S S S S

H H H S S S S

¬M

 

¼

  I

M

S S S S H H H H

S H S H S H S H

 

¬ I    ¬ M

H H H H S S S S

H S H S H S H S

 

¼↝M)

 

S H S H S S S S

¼

¼ ↝M)↓ ¼

S S S S H S H S

S H S H H S H S

8. I ∯ ((K ∪ M ¼ ↓ ¬ K )

I

M

S S H H

H H S S

 

K  

K ∪ M   M ↓ ¬ K 

I ∯ ((K ∪ M ¼ ↓ ¬ K )

S H S H

S H S S

H H S H

H S S H

 

>.   ¬((¬I ∯ M ¼ ↝ ¬ K ) ∪  I 

I

M   ¬ I ¬ K     ¬((¬I ∯ M ¼   M ↓ ¬ K   

¬((¬I ∯ M

S S H H

H H S S

H H S H

H H S S

S H S H

H H S S

S S S S

1.   I ↛ ( M ↝ K )

I

M

K

S S H H

H H S S

S H S H

  ( M ↝K ) S S S H

 

I ↛ ( M ↝ K )

H H H S

?. Ipig Ipigia ia dob dobio io gfmf gfmfdi diri rid d ciro ciro (I Ɇ ¬) cid (I X ¬I)< I

(I Ɇ ¬)

S S H  H

H H H H

I

(I X ¬I)<

S S H  H

S S S S

 

 

¼ ↝ ¬ K ) ∪  I 

 

95. 95. Ipig Ipigia ia (I ↝ M) ↝ K `f`pudyio dobio gfmfdirid yidn si`i cfdnid I ↝ (M ↝ K I)<

I

M

K

(I ↝ M) ↝ K

S S S S H H H H

S S H H S S H H

S H S H S H S H

S H S S S H S H

I

M

K

(I ↝ M) ↝ K

S S S S H H H H

S S H H S S H H

S H S H S H S H

S H S S S S S S

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