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<p class="MsoNormal"><span style="color:black">Hi,<br>
<br>
On Monday, the MSP101 talk will be given by<span class="apple-converted-space"> </span>Zanzi Mihejevs<span class="apple-converted-space"> </span>(GlAiVe Research). See the details of the talk below.<o:p></o:p></span></p>
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<span style="color:black"><br>
Best,<br>
Dilsat<br>
<br>
**********************************************************************<br>
<br>
Date: Monday, 10 March at 15:00<br>
<br>
Room: LT412, Livingstone Tower<br>
<br>
Zoom link: <a href="https://strath.zoom.us/j/85449272187?pwd=0qNkQqybiaKgBpbEBRv38x11x4db5n.1" target="_blank" title="https://strath.zoom.us/j/85449272187?pwd=0qNkQqybiaKgBpbEBRv38x11x4db5n.1"><span style="color:#96607D">https://strath.zoom.us/j/85449272187?pwd=0qNkQqybiaKgBpbEBRv38x11x4db5n.1</span></a><o:p></o:p></span></p>
<p class="MsoNormal" style="caret-color: rgb(0, 0, 0);font-variant-caps: normal;orphans: auto;text-align:start;widows: auto;-webkit-text-stroke-width: 0px;word-spacing:0px">
<span style="color:black">Live stream on Youtube:<span class="apple-converted-space"> </span><a href="https://www.youtube.com/@msp101strathclyde4" title="https://eur02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.youtube.com%2F%40msp101strathclyde4&data=05%7C02%7Cdilsat.yuksel%40strath.ac.uk%7Cc21ac4f8f5674221bc6908dd57280a4d%7C631e0763153347eba5cd0457bee5944e%7C0%7C0%7C638762551657891362%7CUnkn"><span style="color:#96607D">https://www.youtube.com/@msp101strathclyde4</span></a><br>
<br>
Speaker:<span class="apple-converted-space"> </span>Zanzi Mihejevs<br>
<br>
Title:<span class="apple-converted-space"> </span></span>A canonical bidirectional typing discipline through polarised System L<span style="color:black"><o:p></o:p></span></p>
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<span style="color:black"> <o:p></o:p></span></p>
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<span style="color:black">Abstract:<span class="apple-converted-space"> </span></span><span style="font-size:12.0pt;mso-ligatures:none;mso-fareast-language:EN-GB">What is the relationship between polarity and bidirectional typing? It has long been observed
that there is a connection between the two, but the precise relationship has remained unclear. Moreover, it has been argued that the link itself is a red herring, and that bidirectional typing is better explained not by polarity but by chirality - the duality
between producers and consumers. <o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt;mso-ligatures:none;mso-fareast-language:EN-GB">In this talk we will look at Polarised System L, a type theory that combines both dualities - the positive
fragment is driven by a cut between a primitive producer and a pattern, and the negative fragment is driven by a cut between a primitive consumer and a co-pattern.<o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt;mso-ligatures:none;mso-fareast-language:EN-GB">Remarkably, linear System L admits a canonical bidirectional typing discipline based on a combination
of ideas from both standard and co-contextual typing, giving us a bi-contextual typing algorithm.<o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt;mso-ligatures:none;mso-fareast-language:EN-GB">We will see how this lets us equip a type system based on full classical linear logic - containing all
four connectives and derivable implication and co-implication - with a bidirectional discipline where all typing annotations are exclusively limited to shifts between sythesisable and checkable expressions.<o:p></o:p></span></p>
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**********************************************************************<o:p></o:p></span></p>
<p class="MsoNormal"><o:p> </o:p></p>
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