···583583Victoria Genitori genitoque XVIAB p66 🟢
584584Victoria Jesu dulcis memoria NCAB p181 🟢
585585Victoria Jesu, the very thought of Thee OEAB p153
586586+Victoria Missa O Quam Gloriosum Loose, Chester 🟢
586587Victoria O magnum mysterium 3rdCh p32 🟢
587588Victoria O quam gloriosum NCAB p316 🟢
588589Victoria O vos omnes 3rdCh p36 🟢
+1-1
trees/loc-0011.tree
···22\def\percent{\startverb%\stopverb
33 }
44\parent{loc-000P}
55-\title{SS Peter and Paul 2025}
55+\title{Feast of St. Peter and St. Paul 2025}
66\tag{cmc}
77\date{2025-06-29}
88\author{liamoc}
+2
trees/loc-001B.tree
···1111\put\transclude/expanded{false}
12121313\p{This page has an [atom feed](/forest/loc-001B/atom.xml).}
1414+\transclude{2026-W07}
1515+\transclude{2026-W06}
1416\transclude{2026-W05}
1517\transclude{2026-W04}
1618\transclude{2026-W03}
+4
trees/loc-0035.tree
···11+\date{2026-02-05}
22+\title{It's rude to show AI output to people.}
33+\author{liamoc}
44+\p{I came across [this article](https://distantprovince.by/posts/its-rude-to-show-ai-output-to-people/) by Alex Martsinovich which I thought captured very well one of the main objections I have to LLMs as a technology. It used to be that every piece of text, even down to a road sign, was written by a human somewhere with the intention of communicating something to you, the reader — what Alex calls "proof of thought". Thanks to LLMs, this fundamental property of language has been irrevocably destroyed: a massive tragedy in my view. }
+37
trees/loc-0036.tree
···11+\date{2026-02-08}
22+\import{table-macros}
33+\def\percent{\startverb%\stopverb
44+ }
55+\parent{loc-000P}
66+\title{Fifth Sunday after Epiphany 2026}
77+\tag{cmc}
88+\author{liamoc}
99+\quote{Veníte adorémus Deum, et procidámus ante Dóminum: plorémus ante eum, qui fecit nos: quia ipse est Dóminus Deus noster.
1010+}
1111+\p{This Sunday I once again sang at both [St. Michael and All Saints](https://smas.church) and [Old St. Paul's](https://www.osp.org.uk/), despite a cold preventing me from intoning the propers or singing at full voice. In the morning we sang Wood's [Hey You, the Middle Ball](https://www.youtube.com/watch?v=Qf202pdjMZk): }
1212+\quote{
1313+ \poem{
1414+ \line{O thou the central orb of righteous love,}
1515+ \line{Pure beam of the Most High,}
1616+ \line{Eternal Light of this our wintry world,}
1717+ \line{Thy radiance bright awakes new joy in faith,}
1818+ \line{Hope soars above.}
1919+ \line{\br}
2020+ \line{Come, quickly come and let thy glory shine,}
2121+ \line{Gilding our darksome heav'n with rays divine.}
2222+ \line{Thy saints with holy lustre round thee move,}
2323+ \line{As stars about thy throne, set in the height}
2424+ \line{Of God's ordaining counsel, }
2525+ \line{As thy sight gives measured grace to each.}
2626+ \line{Thy power to prove.}
2727+ \line{\br}
2828+ \line{Let thy bright beams disperse the gloom of sin,}
2929+ \line{Our nature all shall feel eternal day,}
3030+ \line{In fellowship with thee,}
3131+ \line{Transforming day to souls erewhile unclean,}
3232+ \line{now pure within.}
3333+ \line{\br}
3434+ \line{Amen.}
3535+ }
3636+}
3737+\p{We also sang Victoria's [Missa O Quam Gloriosum](https://www.youtube.com/watch?v=0P5gMpJtVZY) for a mass setting. In the evening, in a rare exception to the normal Evensong service, Old St. Pauls instead had an event to introduce the choir and congregation to the new Revised English Hymnal.}
+30
trees/loc-0037.tree
···11+\taxon{Poem}
22+\title{Liturgy}
33+\author/literal{Irene Zimmerman}
44+\import{table-macros}
55+\poem{
66+ \line{All the way to Elizabeth}
77+\line{and in the months afterward}
88+\line{she wove him, pondering,}
99+\line{“This is my body, my blood!”\br}
1010+\line{Beneath the watching eyes}
1111+\line{of donkey, ox, and sheep}
1212+\line{she rocked him, crooning,}
1313+\line{“This is my body, my blood!”\br}
1414+\line{In the moonless desert flight}
1515+\line{and the Egypt-days of his growing,}
1616+\line{she nourished him, singing,}
1717+\line{“This is my body, my blood!”\br}
1818+\line{Under the blood-smeared cross}
1919+\line{she rocked his mangled bones,}
2020+\line{remembering him, moaning,}
2121+\line{“This is my body, my blood!”\br}
2222+\line{When darkness, stones, and tomb}
2323+\line{bloomed to Easter morning,}
2424+\line{she ran to him, shouting,}
2525+\line{“This is my body, my blood!”\br}
2626+\line{And no one thought to tell her:}
2727+\line{“Woman, it is not fitting}
2828+\line{for you to say those words.}
2929+\line{You don’t resemble him.”}
3030+}
+26
trees/loc-0038.tree
···11+\date{2026-02-15}
22+\import{table-macros}
33+\def\percent{\startverb%\stopverb
44+ }
55+\parent{loc-000P}
66+\title{Quinquagesima Sunday 2026}
77+\tag{cmc}
88+\author{liamoc}
99+\quote{Tibi dixit cor meum, quæsívi vultum tuum, vultum tuum Dómine requíram: ne avértas fáciam tuam a me.\br
1010+ Esto mihi in Deum protectórem, et in locum refúgii, ut salvum me fácias: quóniam firmaméntum meum, et refúgium meum es tu: et propter nomen tuum dux mihi eris, et enútries me.
1111+}
1212+1313+\p{This Sunday was bizarrely called the Sunday of the "Transfiguration", despite that not being the actual feast of the Transfiguration. It's because my church [All Saints Ainslie](https://allsaintsainslie.org.au) is hewing to the Revised Common Lectionary. I entitled this post Quinquagesima Sunday because that's what is listed in the Scottish Book of Common Prayer (and [[loc-0033]]). I joined the Ainslie choir for the first time in 2026. We performed Ouseley's [From the Rising of the Sun](https://www.youtube.com/watch?v=CnEFkTCOuEE): }
1414+\quote{\poem{
1515+ \line{From the rising of the sun}
1616+ \line{To the going down of the same,}
1717+ \line{My Name shall be great among the Gentiles,}
1818+ \line{And in ev'ry place incense shall be offer'd up unto my Name:}
1919+ \line{For My Name shall be great among the heathen,}
2020+ \line{Thus saith the Lord!}
2121+}
2222+}
2323+\p{I also received some CD recordings from John Kitchen at [Old St. Paul's](https://www.osp.org.uk/) while I was in Edinburgh, that I took the time to listen to recently. Calum Robertson, who plays the organ at Old St. Paul's, wrote [a beautiful anthem](https://www.youtube.com/watch?v=Eamf9BAikeo) from this moving poem by Irene Zimmerman:}
2424+\transclude{loc-0037}
2525+\p{The poem, at least to my reading, seems to clearly advocate for women's ordination, despite the author's communion opposing the same.}
2626+
+5
trees/loc-0039.tree
···11+\title{Begun Notes on Linear-time Temporal Properties}
22+\author{liamoc}
33+\date{2026-02-15}
44+\p{In my work with [[rayhana]] and [[rvg]], I've been thinking a bit about the space of linear-time temporal properties #{\Sigma^\omega}. There are a lot of results about this, some of which we're still working on proving. While the canonical account will be in our forthcoming journal paper and [Rayhana](rayhana)'s PhD thesis, I'm going to start writing [a research notebook](ltp-0001) on this topic. I've decided to do this rather than blog about our results, because it's more in the spirit of Zettelkästen (Zettelkastengeist?) — the post I had in mind ended up ballooning in size because it needed so much context. Instead, I will just fill in the notebook including our current conjectures.}
55+\p{Currently, there isn't much there, just some basic definitions from [[alpern-schneider-1985]]. But I will eventually hopefully have a fairly well-developed summary of a lot of the work in this area over there.}
+17
trees/ltp/ltp-0001.tree
···11+\taxon{Research Notebook}
22+\title{Linear-time Temporal Properties}
33+\author{liamoc}
44+\transclude{ltp-0002}
55+\transclude{ltp-0003}
66+\transclude{ltp-0004}
77+\transclude{ltp-0005}
88+\p{The [famous paper](alpern-schneider-1985) of [[alpern]] and [[schneider]] defines a topology where the closed sets are safety properties, and the open sets are the guarantee properties. The closure operator #{\overline{X}} therefore gives the smallest safety property #{\supseteq X}, and the interior operator #{\underline{X}} gives the largest guarantee property #{\subseteq X}. }
99+\p{This space is a metric space, using the standard prefix-agreement metric that one might use for a Baire or Cantor space: }
1010+##{
1111+ \begin{array}{l}
1212+ d : \Sigma^\omega \times \Sigma^\omega \rightarrow \mathbb{R} \\
1313+ d(\sigma,\rho) = 2^{-\sup\{ i \mid \sigma_{0\dots{}i} = \rho_{0\dots{}i}\}} \\
1414+ \\
1515+ \qquad\text{where}\ 2^{-\infty} = 0
1616+\end{array}}
1717+\p{[[alpern]] and [[schneider]] then go on to prove that all properties are the intersection of \em{safety} and \em{liveness} (i.e. \em{dense} sets, #{\overline{X} = \Sigma^\omega})}
+5
trees/ltp/ltp-0002.tree
···11+\taxon{Definition}
22+\title{The space #{\Sigma^\omega}}
33+\author{liamoc}
44+\p{Let the set of all possible \em{states} be #{\Sigma}. Then, the set of all possible \em{behaviours} —infinite sequences of states — is #{\Sigma^\omega}. Note that we do not require that #{\Sigma} is finite.}
55+\p{We shall model terminating systems, which have finite behaviours, as behaviours that infinitely repeat their final state.}
+4
trees/ltp/ltp-0003.tree
···11+\title{Properties}
22+\taxon{Definition}
33+\author{liamoc}
44+\p{A property, being a specification of a system, can be thought of as simply a set of behaviours, i.e. a subset of [the space #{\Sigma^\omega}](ltp-0002). A property is \em{satisfied} by a system if all behaviours exhibited by the system are contained within the set. It is \em{violated} by a system if there exists a behaviour exhibited by the system that is not contained within the set. }
+5
trees/ltp/ltp-0004.tree
···11+\taxon{Definition}
22+\author{liamoc}
33+\title{Safety Properties}
44+\p{A \em{safety} [property](ltp-0003) says that a bad thing does not happen. The "bad thing" in this case is some finite, observable event. In other words, safety properties are those [properties](ltp-0003) whose \em{violation} can be established by examining only a \em{finite} prefix of the behaviour.}
55+\p{For example, the safety property "The state #{\mathtt{a}} is never reached" is violated by any finite prefix containing the state #{\mathtt{a}}.}
+5
trees/ltp/ltp-0005.tree
···11+\taxon{Definition}
22+\author{liamoc}
33+\title{Guarantee Properties}
44+\p{A \em{guarantee} [property](ltp-0003) is the complement of a [safety property](ltp-0004). A guarantee property says that a good thing happens eventually. As with safety properties, the "good thing" is some finite, observable event. In other words, guarantee properties are those [properties](ltp-0003) whose \em{satisfaction} can be established by examining only a \em{finite} prefix of the behaviour.}
55+\p{For example, the guarantee property "The state #{\mathtt{a}} is eventually reached" is satisfied by any finite prefix containing the state #{\mathtt{a}}.}
+15
trees/weeknotes/2026-W06.tree
···11+\import{table-macros}
22+\title{Weeknotes 2026-W06}
33+\author{liamoc}
44+\date{2026-02-08}
55+\p{This week was unfortunately marred by a nasty cold that took me out of most of it. Nonetheless I got some church singing done, and I had a productive meeting that generated some new ideas, which I might blog about next week.}
66+\figure{
77+ \<html:img>[loading]{lazy}[width]{360px}[src]{\route-asset{assets/edinburgh6.jpeg}}%{}
88+ %\<html:img>[width]{260px}[src]{\route-asset{assets/edinburgh2.jpeg}}%{}
99+ %\<html:img>[loading]{lazy}[width]{260px}[src]{\route-asset{assets/edinburgh5.jpeg}}%{}
1010+ \figcaption{My spiritual home: St. Michael and All Saints, Edinburgh }
1111+}
1212+1313+\transclude{loc-0035}
1414+\transclude{loc-0034}
1515+\transclude{loc-0036}
+13
trees/weeknotes/2026-W07.tree
···11+\import{table-macros}
22+\title{Weeknotes 2026-W07}
33+\author{liamoc}
44+\date{2026-02-08}
55+\p{I returned to Canberra this week. I needed the remainder of the week to recover from my illness and the flight, but I'm feeling alright now. As much as I enjoyed being in Edinburgh again, it's great to be back in clean, sunny, quiet Canberra. }
66+\figure{
77+ \<html:img>[loading]{lazy}[width]{360px}[src]{\route-asset{assets/leafy.jpeg}}%{}
88+ %\<html:img>[width]{260px}[src]{\route-asset{assets/edinburgh2.jpeg}}%{}
99+ %\<html:img>[loading]{lazy}[width]{260px}[src]{\route-asset{assets/edinburgh5.jpeg}}%{}
1010+ \figcaption{A Leafy Canberra Street. }
1111+}
1212+\transclude{loc-0039}
1313+\transclude{loc-0038}