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        <h1>Beskjeder
          
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              <div class="vrtx-result-1 vrtx-resource">
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            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/eksamen-fra-2021-med-losningsforslag.html">Eksamen fra 2021 med l?sningsforslag</a>
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            <div class="published-date">
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Publisert              </span>
24. mai 2022 20:24            </div>


            <div class="description introduction">
                <p>&nbsp;</p>

<p>Det kan hende vi kikker litt p? eksamen &nbsp;p? forelesningen i morgen. Siste forelesning. Einar vil ogs? komme.</p>

<p><a href="/studier/emner/matnat/ifi/IN2080/v22/eksamen/v21hjemmeeks4t-6.pdf">Eksamen V21 med l?sningsforslag.</a></p>

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              <div class="vrtx-result-2 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/ukeoppgaver-6.html">Ukeoppgaver</a>
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            <div class="published-date">
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Publisert              </span>
11. mai 2022 12:16            </div>


            <div class="description introduction">
                <p>Her er oppgaver til gruppetimene torsdag 19. mai og torsdag 26. mai.</p>

<p>Sipsers bok: &nbsp;8.3, 8.4, 8.5, 8.7, 8.18, 8.19, 8.27, 8.29.</p>

<p><a href="/studier/emner/matnat/ifi/IN2080/v21/tidligere-eksamensoppgaver/v20hjemmeeks.pdf">Eksamen 2020 (hjemmeeksamen).</a></p>

<p>Her er l?sningsforslag til eksamen fra 2020:&nbsp;<a href="/studier/emner/matnat/ifi/IN2080/v21/losningsforslag-til-utvalgte-ukeoppgaver/los-hjemmeeksv20-1-10.pdf">Fil1</a>&nbsp;og&nbsp;<a href="/studier/emner/matnat/ifi/IN2080/v21/losningsforslag-til-utvalgte-ukeoppgaver/v20losning.pdf">Fil2</a>.</p>

<p>&nbsp;</p>

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              <div class="vrtx-result-3 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/ingen-forelesninger-neste-uke.html">Ingen forelesninger neste uke.</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
11. mai 2022 11:59            </div>


            <div class="description introduction">
                <p>Det blir ikke forelesninger neste uke. Tirsdag er det 17. mai og forelesningen 18. mai er avlyst.</p>

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              <div class="vrtx-result-4 vrtx-resource">
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            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/oversikt-over-tilgjenlige-losningsforsla.html">Oversikt over tilgjenlige l?sningsforslag</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
11. mai 2022 11:41            </div>


            <div class="description introduction">
                <nav aria-label="Br?dsmulesti" id="breadcrumbs"><p>Her er l?sningsforslag til en del av oppgavene i Sipser (pluss noen eksamensoppgaver fra 2017). De er i hovedsak laget av Arne Tobias ?deg?rd.</p></nav><h2>L?sningsforslag</h2><ul><li><a href="/studier/emner/matnat/ifi/IN2080/v19/losningsforslag/in2080-losningsforslag2.pdf" target="vrtx-preview-window">1.18, 1.49, 1.51</a></li><li><a href="/studier/emner/matnat/ifi/IN2080/v19/losningsforslag/in2080-losningsforslag3.pdf" target="vrtx-preview-window">2.4, 2.5, 2.33, 2.58</a></li><li><a href="/studier/emner/matnat/ifi/IN2080/v19/losningsforslag/in2080-losningsforslag4.pdf" target="vrtx-preview-window">2.2, 2.42-2.44</a></li><li><a href="/studier/emner/matnat/ifi/IN2080/v19/losningsforslag/in2080-losningsforslag5.pdf" target="vrtx-preview-window">3.6, 3.7, 3.12</a></li><li>...</li></ul>
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Les mer ...                    </a>
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            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/ukeoppgaver-til-torsdag-12-mai.html">Ukeoppgaver til torsdag 12. mai</a>
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            <div class="published-date">
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Publisert              </span>
4. mai 2022 21:35            </div>


            <div class="description introduction">
                <ul>
	<li><strong>8.6, 8.27&nbsp;</strong>og&nbsp;<strong>8.29</strong></li>
	<li><strong>8.23</strong></li>
	<li><b>&nbsp;</b>deretter kan dere kikke p? eksamen fra 2019</li>
</ul>

<p>Her er&nbsp;<a href="/studier/emner/matnat/ifi/IN2080/v19/tidligere-eksamensoppgaver/exam19.pdf">eksamen fra 2019</a>&nbsp;med&nbsp;<a href="/studier/emner/matnat/ifi/IN2080/v19/tidligere-eksamensoppgaver/losningsforslag19.pdf">l?sningsforslag</a>.</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

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              <div class="vrtx-result-6 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/oblig-3.html">Oblig 3</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
27. apr. 2022 22:53            </div>


            <div class="description introduction">
                <p>Oblig 3 er n? lagt ut og kan finnes <a href="/studier/emner/matnat/ifi/IN2080/v22/obliger/">her</a></p>

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              <div class="vrtx-result-7 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/ukeoppgaver-5.html">Ukeoppgaver</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
26. apr. 2022 18:50            </div>


            <div class="description introduction">
                <p>Vi gir ingen &nbsp;nye ukeoppgaver denne uken. Gruppetimene neste uke kan brukes til ? diskutere oppgaver som allerede er gitt eller den obligatoriske oppgaven.</p>

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          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/rapport-fra-forelsningsfronten.html">Rapport fra forelesningsfronten</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
26. apr. 2022 18:47            </div>


            <div class="description introduction">
                <p>N? har jeg begynt ? snakke om stoffet i kap. 8. I den digitale forelesning jeg har lagt ut for denne uken snakker jeg ogs? del om coNP. Kompleksitetsklassen coNP &nbsp;st?r sentral i den tredje obligatoriske oppgaven.</p>

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          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/ukeoppgaver-4.html">Ukeoppgaver</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
21. apr. 2022 01:07            </div>


            <div class="description introduction">
                <p>Oppgaver til gruppetime torsdag 28. april:&nbsp;</p>

<ul>
	<li>Eksamen 2017 (<a href="/studier/emner/matnat/ifi/IN2080/v21/tidligere-eksamensoppgaver/exam17.pdf">exam17.pdf</a>): Oppgave 3.3</li>
	<li>Eksamen 2015 (<a href="/studier/emner/matnat/ifi/IN2080/v21/tidligere-eksamensoppgaver/exam15.pdf">exam15.pdf</a>): Del II (oppgavene 7, 8, 9 og 10)</li>
	<li>Oppgave 7.29, side 325 i Sipsers bok.</li>
</ul>

<p>Et utval av disse oppgave diskutere i gruppetimen.</p>

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          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/ingen-forelsning-27-april.html">Ingen forelsning 27. april</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
21. apr. 2022 00:36            </div>


            <div class="description introduction">
                <p>Forelesningen den 27. april er avlyst p? grunn av en begravelse.</p>

            </div>
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              <div class="vrtx-result-11 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/ukeoppgaver-3.html">Ukeoppgaver</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
14. apr. 2022 01:10            </div>


            <div class="description introduction">
                <p>Oppgaver til gruppetime torsdag 21. april: 7.7, 7.45, 7.47, 7.35, 7.37 samt oppgavene p?&nbsp;<a href="/studier/emner/matnat/ifi/IN2080/v20/dokumenter/oppgaver-27april.pdf">denne pdf-filen.</a></p>

<p>Oppgavene p? pdf-filen er meget relevante med tanke p? neste oblig.</p>

<p>Et utvalg av oppgavene vil diskuteres i gruppetimen.</p>

<p>&nbsp;</p>

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          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/rapport-fra-forelesningsfronten.html">Rapport fra forelesningsfronten</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
14. apr. 2022 00:03            </div>


            <div class="description introduction">
                <p>Jeg holder p? ? forelese kap. 7 i Sipsers bok. Neste forelesning vil starte med beviset av teorem 7.32 (side 202). Jeg antar da at tilh?rerne er kjent med problemet 3SAT. Jeg bruke en del tid av siste forelesning f?r p?sken til ? forklare 3SAT.</p>

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          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/ukeoppgaver-2.html">Ukeoppgaver</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
30. mars 2022 22:31            </div>


            <div class="description introduction">
                <p>Oppgaver til gruppetime torsdag 15. april (et utvalg av disse oppgavene vil bli diskutert i gruppetimen): 7.1, 7.5, 7.6, 7.7, 7.8, 7.13.</p>

<p>Dere b?r ogs? diskutere&nbsp;noen som er gitt tidligere hvis det er behov for det.</p>

<p>&nbsp;</p>

            </div>
        </div>



              <div class="vrtx-result-14 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/ukeoppgaver.html">Ukeoppgaver</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
23. mars 2022 20:44            </div>


            <div class="description introduction">
                <p>Oppgaver til neste gruppetime torsdag 31. mars (et utvalg av disse oppgavene vil bli diskutert i gruppetimen): 5.1, 5.2, 5.5-5.7, 5.10, 5.11, 5.16-5.19, 5.33-5.35</p>

<p>&nbsp;</p>

            </div>
        </div>



              <div class="vrtx-result-15 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/oppgaver-2.html">Oppgaver</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
16. mars 2022 20:21            </div>


            <div class="description introduction">
                <p>Oppgaver: 4.1--4.5, 4.8, 4.13, 4.19, 4.24, 4.29, 4.30.</p>

<p>Disse oppgavene (ikke n?dvendigvis alle) vil diskuteres i gruppeundervisningen torsdag 24. mars.</p>

<p>&nbsp;</p>

            </div>
        </div>



              <div class="vrtx-result-16 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/oblig-2.html">Oblig 2</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
10. mars 2022 12:35            </div>


            <div class="description introduction">
                <p>Oblig 2 er n? lagt ut og kan finnes <a href="/studier/emner/matnat/ifi/IN2080/v22/obliger/">her</a></p>

            </div>
        </div>



              <div class="vrtx-result-17 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/oppgaver.html">Oppgaver</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
10. mars 2022 00:19            </div>


            <div class="description introduction">
                <p>Her er noen passende oppgaver om det stoffet jeg har forelest denne ukene: 3.1-3.3, 3.5-3.9, 3.15. Dere kan ogs? pr?ve der p?&nbsp;oppgavene 3.13, 3.16 og 3.17.</p>

<p>&nbsp;</p>

            </div>
        </div>



              <div class="vrtx-result-18 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/oppdatering.html">Oppdatering</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
8. mars 2022 18:41            </div>


            <div class="description introduction">
                <p>S? n? har jeg (Lars) overtatt forelesningene. I dag foreleste jeg seksjon 3.1 i Sipsers bok. I morgen vil jeg forelese sekskjon 3.2 (s?nn circa).</p>

            </div>
        </div>



              <div class="vrtx-result-19 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/ingen-forelesning-2-mars.html">Ingen forelesning 2 mars</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
1. mars 2022 15:33            </div>


            <div class="description introduction">
                <p>Da ble vi enige om ? utsette repetisjonen av del 1 av kurset til litt senere i semesteret. Dvs at det ikke blir forelesning i morgen, 2 mars.</p>

            </div>
        </div>



              <div class="vrtx-result-20 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/forelesningene-denne-uken-avlyses.html">Forelesningene denne uken avlyses</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
22. feb. 2022 07:32            </div>


            <div class="description introduction">
                <p>Hei, jeg m? dessverre avlyse forelesningene denne uken. Min tur til ? bli syk. Vi fortsetter med Pumpelemma for CFL neste tirsdag!</p>

<p>- Einar</p>

            </div>
        </div>



              <div class="vrtx-result-21 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/kontekstfrie-spraak.html">Kontekst-frie spr?k</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
8. feb. 2022 15:49            </div>


            <div class="description introduction">
                <p>I morgen begynner vi p? kontekst-frie spr?k p? forelesningen. For de som ikke kan komme p? de neste forelesningene, kan dere evt se p? Sipsers video for ? f? en rask intro til materialet:</p>

<ul>
	<li><a href="https://www.youtube.com/watch?v=m9eHViDPAJQ">https://www.youtube.com/watch?v=m9eHViDPAJQ</a></li>
</ul>

            </div>
        </div>



              <div class="vrtx-result-22 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/fysiske-forelesninger.html">Fysiske forelesninger</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
1. feb. 2022 10:04            </div>


            <div class="description introduction">
                <p>I dag starter vi med fysiske forelesninger i Stoe Aud, Kristen Nyg?rds Hus. Velkommen til forelesning.</p>

<p>For de som ikke kan komme, kan det v?re nyttig ? se Michael Sipser's videoforelesninger fra i fjor:</p>

<ul>
	<li><a href="https://www.youtube.com/watch?v=9syvZr-9xwk">https://www.youtube.com/watch?v=9syvZr-9xwk</a></li>
	<li><a href="https://www.youtube.com/watch?v=oNsscmUwjMU">https://www.youtube.com/watch?v=oNsscmUwjMU</a></li>
	<li><a href="https://www.youtube.com/watch?v=KAySmSEGc9U">https://www.youtube.com/watch?v=KAySmSEGc9U</a></li>
</ul>

            </div>
        </div>



              <div class="vrtx-result-23 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/oblig-1.html">Oblig 1</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
27. jan. 2022 12:42            </div>


            <div class="description introduction">
                <p>Oblig 1 er n? lagt ut og kan finnes <a href="/studier/emner/matnat/ifi/IN2080/v22/obliger/">her</a>.</p>

            </div>
        </div>



              <div class="vrtx-result-24 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/forste-gruppetime.html">F?rste gruppetime</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
26. jan. 2022 17:25            </div>


            <div class="description introduction">
                <p>F?rste gruppe (27. jan, 10.15) er p? zoom. Vi kommer hovedsaklig til ? g? gjennom oppgavene som ble lagt ut for forrige uke.</p>

<p><br/>
Join Zoom Meeting<br/>
https://uio.zoom.us/j/7835019196<br/>
&nbsp;<br/>
Meeting ID: 783 501 9196</p>

            </div>
        </div>



              <div class="vrtx-result-25 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/ifi/IN2080/v22/beskjeder/corona.html">Corona</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
18. jan. 2022 11:54            </div>


            <div class="description introduction">
                <p>De to f?rste ukene av semesteret skal vi ha undervisning p? Zoom. Lenke til forelesninger blir lagt ut p? <a href="/studier/emner/matnat/ifi/IN2080/v22/timeplan/index.html">Timeplan</a>, sammen med kursmateriale, slides, screencasts, etc</p>

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