<html xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=us-ascii">
<meta name="Generator" content="Microsoft Word 15 (filtered medium)">
<style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Aptos;
panose-1:2 11 0 4 2 2 2 2 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0cm;
font-size:11.0pt;
font-family:"Aptos",sans-serif;
mso-ligatures:standardcontextual;
mso-fareast-language:EN-US;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:#467886;
text-decoration:underline;}
span.apple-converted-space
{mso-style-name:apple-converted-space;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:11.0pt;
mso-ligatures:none;
mso-fareast-language:EN-US;}
@page WordSection1
{size:612.0pt 792.0pt;
margin:72.0pt 72.0pt 72.0pt 72.0pt;}
div.WordSection1
{page:WordSection1;}
--></style>
</head>
<body lang="EN-GB" link="#467886" vlink="#96607D" style="word-wrap:break-word">
<div class="WordSection1">
<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>Ross Horne<span class="apple-converted-space"> </span>(MSP, StrathCyber). See the details of the talk below.</span><span style="color:black;mso-ligatures:none"><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"><br>
Best,<br>
Dilsat<br>
<br>
**********************************************************************<br>
<br>
Date: Monday, 17 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%7C725db31def684d60de1f08dd5d8188e4%7C631e0763153347eba5cd0457bee5944e%7C0%7C0%7C638769533127126014%7CUnkn"><span style="color:#96607D">https://www.youtube.com/@msp101strathclyde4</span></a><br>
<br>
Speaker:<span class="apple-converted-space"> </span>Ross Horne<br>
<br>
Title:<span class="apple-converted-space"> </span></span>Additives without Weakening<span style="color:black"><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"> <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">Abstract:<span class="apple-converted-space"> </span></span><span style="font-size:12.0pt;mso-ligatures:none;mso-fareast-language:EN-GB">As we know, in linear logic, conjunction and disjunction decompose into separate multiplicative
and additive forms. Only additives are idempotent in general (A + A --o A). The additives also have some properties such as weakening (A & B --o A). By dropping weakening, the additives further decompose into infinitely many sub-additive operators.
<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">I explain how I spotted these sub-additive operators when studying nominal quantifiers that can similarly
be decomposed into new nominal quantifiers. I found these new additives curious since the resulting operators have properties that are sound with respect to probability distributions, effectively internalising probability distributions in logic. I end by giving
a taste of the proof theory of the sub-additives. A novelty is that, due to how sub-additives control certain distributivity properties that play an essential role in established cut elimination techniques, a new proof technique must be invented.<o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="color:black"><br>
**********************************************************************</span><span style="font-size:12.0pt;mso-ligatures:none;mso-fareast-language:EN-GB"><o:p></o:p></span></p>
</div>
</body>
</html>