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MATH-4030: Computability And Logic
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<meta property="og:title" content="MATH-4030: Computability And Logic">
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<meta property="og:description" content="This course covers basic concepts and results in mathematical logic and computability theory, including decision procedures, automated theorem proving techniques for truth-functional and first-order logic, axiomatizations of set theory and arithmetic, Turing Machines, Abacus Machines, recursive functions, the Church-Turing Thesis, the halting problem, undecidability of first-order logic, undecidability of arithmetic, and Godel’s incompleteness results.">
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<h1 id="name">
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Computability And Logic
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</h1>
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<h2 id="code">
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MATH-4030
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</h2>
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<p>
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This course covers basic concepts and results in mathematical logic and computability theory, including decision procedures, automated theorem proving techniques for truth-functional and first-order logic, axiomatizations of set theory and arithmetic, Turing Machines, Abacus Machines, recursive functions, the Church-Turing Thesis, the halting problem, undecidability of first-order logic, undecidability of arithmetic, and Godel’s incompleteness results.
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</p>
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<span id="credits-pill" class="attr-pill">
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4 credits
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</span>
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<div id="crosslist-container">
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<div id="crosslist-title" class="rel-info-title">
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Cross-listed with:
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</div>
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<div id=crosslist-classes" class="rel-info-courses">
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<a class="course-pill" href="CSCI-4420">CSCI-4420 Computability And Logic</a>
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<a class="course-pill" href="PHIL-4420">PHIL-4420 Computability And Logic</a>
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</div>
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</div>
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Prereqs:
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<div id="prereq-classes" class="rel-info-courses">
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<div class="pr-or-con">
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<div class="pr-or-title">
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one of:
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</div>
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<div class="pr-or">
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<a class="course-pill" href="PHIL-2140">PHIL-2140 Introduction To Formal Logic</a>
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<a class="course-pill" href="CSCI-2200">CSCI-2200 Foundations Of Computer Sci</a>
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</div>
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</div>
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Past Term Data
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Offered
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No Term Data
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<label for="simple-view-input" id="simple-view-label" class="view-option-label">
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Simple View
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Detailed View
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<table id="years-table">
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<thead>
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<tr>
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<th></th>
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<th class="spring season-label">Spring</th>
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<th class="summer season-label" colspan="2">Summer</th>
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<th class="fall season-label">Fall</th>
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</tr>
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<tr>
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<th colspan="2"></th>
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<th class="summer2 midsum-label">(Session 1)</th>
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<th class="summer3 midsum-label">(Session 2)</th>
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<th></th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<th class="year">2025</th>
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<td class="term spring offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202501&subj_in=MATH&crse_in=4030&schd_in=">Computability And Logic (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Bram Van Heuveln</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 0/10
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer unscheduled">
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</td>
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<td class="term fall unscheduled">
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</td>
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</tr>
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<tr>
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<th class="year">2024</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2023</th>
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<td class="term spring offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202301&subj_in=MATH&crse_in=4030&schd_in=">Computability And Logic (4c)</a>
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</span>
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<ul class="prof-list">
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||
<li>Bram Van Heuveln</li>
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||
</ul>
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||
<span class="course-capacity">
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||
Seats Taken: 17/30
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||
</span>
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</div>
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2022</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2021</th>
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<td class="term spring offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202101&subj_in=MATH&crse_in=4030&schd_in=">Computability And Logic (4c)</a>
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</span>
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<ul class="prof-list">
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||
<li>Bram Van Heuveln</li>
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</ul>
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<span class="course-capacity">
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||
Seats Taken: 16/20
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2020</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2019</th>
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<td class="term spring offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201901&subj_in=MATH&crse_in=4030&schd_in=">Computability And Logic (4c)</a>
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</span>
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||
<ul class="prof-list">
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||
<li>Bram Van Heuveln</li>
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||
</ul>
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||
<span class="course-capacity">
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||
Seats Taken: 18/6
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</span>
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||
</div>
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2018</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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||
<th class="year">2017</th>
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<td class="term spring offered">
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||
<div class="view-container detail-view-container">
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||
<span class="term-course-info">
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||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201701&subj_in=MATH&crse_in=4030&schd_in=">Computability And Logic (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Bram Van Heuveln</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 12/12
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||
</span>
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||
</div>
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||
</td>
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||
<td colspan="2" class="term summer not-offered">
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||
</td>
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||
<td class="term fall not-offered">
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||
</td>
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||
</tr>
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||
<tr>
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||
<th class="year">2016</th>
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||
<td class="term spring not-offered">
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||
</td>
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||
<td colspan="2" class="term summer not-offered">
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||
</td>
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||
<td class="term fall not-offered">
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||
</td>
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||
</tr>
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||
<tr>
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||
<th class="year">2015</th>
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<td class="term spring offered">
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<div class="view-container detail-view-container">
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||
<span class="term-course-info">
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||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201501&subj_in=MATH&crse_in=4030&schd_in=">Computability And Logic (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Bram Van Heuveln</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 7/19
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||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
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||
<td class="term fall not-offered">
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||
</td>
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||
</tr>
|
||
<tr>
|
||
<th class="year">2014</th>
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<td class="term spring not-offered">
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||
</td>
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||
<td colspan="2" class="term summer not-offered">
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||
</td>
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||
<td class="term fall not-offered">
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||
</td>
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||
</tr>
|
||
<tr>
|
||
<th class="year">2013</th>
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||
<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201301&subj_in=MATH&crse_in=4030&schd_in=">Computability And Logic (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Bram Van Heuveln</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 9/15
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||
</span>
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||
</div>
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||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
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||
<td class="term fall not-offered">
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||
</td>
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||
</tr>
|
||
<tr>
|
||
<th class="year">2012</th>
|
||
<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201201&subj_in=MATH&crse_in=4030&schd_in=">Computability And Logic (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Bram Van Heuveln</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 10/15
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2011</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2010</th>
|
||
<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201001&subj_in=MATH&crse_in=4030&schd_in=">Computability And Logic (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Bram Van Heuveln</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 11/30
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2009</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2008</th>
|
||
<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200801&subj_in=MATH&crse_in=4030&schd_in=">Computability And Logic (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Bram Van Heuveln</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 1/20
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2007</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
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||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2006</th>
|
||
<td class="term spring offered-diff-code">
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||
</td>
|
||
<td colspan="2" class="term summer not-offered">
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||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2005</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2004</th>
|
||
<td class="term spring offered-diff-code">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2003</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2002</th>
|
||
<td class="term spring offered-diff-code">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2001</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2000</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">1999</th>
|
||
<td class="term spring offered-diff-code">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">1998</th>
|
||
<td class="term spring unscheduled">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
</div>
|
||
</div>
|
||
</body>
|
||
</html>
|