Episode 34: Algebra as a Language (1972) 🟦

In this episode, Conor highlights the On Notation keynote at RacketCon 2026 and the work of Pat Hanrahan, the latter part of the episode is a Notebook LLM generated conversation.SocialsTacit Talk YouTube PlaylistConor Hoekstra: LinkTree / BioShow NotesDate Released: 2026-10-19On NotationPat HanrahanRSLVizQLA History of Mathematical Notations by Florian CajoriThe Elements of Typographic Style by Robert Bringhurst

In this episode, "Representation-Driven Dispatch" (generated by Claude 4.6 Opus) is read by the Speechify text-to-speech app.SocialsTacit Talk YouTube PlaylistConor Hoekstra: LinkTree / BioShow NotesDate Released: 2026-04-15Representation-Driven Dispatch

In this episode, Conor interviews Madeline Vergani about TinyAPL 0.13, inverses, AP8L and more!SocialsTacit Talk YouTube PlaylistConor Hoekstra: LinkTree / BioAbout the GuestMadeline Vergani is the creator of TinyAPL, the Omnibar and AP8L.Show NotesDate Recorded: 2026-03-30Date Released: 2026-03-31Madeline Vergani on APL WikiTinyAPLTinyAPL on APL WikiTinyAPL InverseOmnibarTinyAPL CombinatorsArrayCast Episode 88: Madeline Vergani and tinyaplTacit Talk Episode 14: TinyAPL with Madeline VerganiMadeline's BlogMost recent blog postAP8L

In this episode, the 1972 paper "Algebra as a Language" by Kenneth E. Iverson is read by the Speechify text-to-speech app.SocialsTacit Talk YouTube PlaylistConor Hoekstra: LinkTree / BioShow NotesDate Released: 2026-03-28Algebra as a Language (1972)Algebra: An Algorithmic Treatment (1972)

In this episode, the "From List Calculus to Array Calculi" (generated by GPT 5.4) is read by the Speechify text-to-speech app.SocialsTacit Talk YouTube PlaylistConor Hoekstra: LinkTree / BioShow NotesDate Released: 2026-03-18From List Calculus to Array CalculiAn Introduction to the Theory of Lists (1986)Mathematics of Arrays (MoA)The Algebra of Programming (1996)Algegraic Identities for Program Calculation (1989)Algorithm Design with Haskell (2020)Bird-Meertens Formalism (BMF)The School of Squiggol: A History of BMF (2019)Single Assignment C (SaC)Lectures on Constructive Functional Programming

In this episode, the "Richard Bird's Algebraic Laws for Program Calculation" which is a summary of the important papers that introduced the algebraic laws of programming (generated by Claude 4.6 Opus) is read by the Speechify text-to-speech app.SocialsTacit Talk YouTube PlaylistConor Hoekstra: LinkTree / BioShow NotesDate Released: 2026-03-14Richard Bird's Algebraic Laws for Program CalculationAn Introduction to the Theory of Lists (1986)The Algebra of Programming (1996)Algegraic Identities for Program Calculation (1989)Tweet about Kadane's Algorithm (2021/2022)Algorithm Design with Haskell (2020)Bird-Meertens Formalism (BMF)The School of Squiggol: A History of BMF (2019)

In this episode, the 1979 Turing Award paper "Notation as a Tool of Thought" by Kenneth E. Iverson is read by the Speechify text-to-speech app.SocialsTacit Talk YouTube PlaylistConor Hoekstra: LinkTree / BioShow NotesDate Released: 2026-03-02Notation as a Tool of Thought (1979)

In this episode, Conor chats with Adám Brudzewsky about Dyalog 20.0, array notation, namespaces and the behind operator.SocialsTacit Talk YouTube PlaylistConor Hoekstra: LinkTree / BioAbout the GuestAdám Brudzewsky is the head of language design at Dyalog Ltd. He is a lifelong APL programmer, founder of the APL Orchard, and the creator of Extended Dyalog APL and APLcart.Show NotesDate Recorded: 2026-01-01Date Released: 2026-01-02DyalogDyalog 20.0TryAPLBehind is HereUsing the Behind Operator in Dyalog APL // APL Programming // NEW in Dyalog v20.0ArrayCast PodcastDyalog User Meeting YouTube ChannelDyalog Ltd YouTube ChannelDyalog 20.0 Top 5 FeaturesAPL QuestAPL ChallengeWorking with Array Notation in Dyalog APL // APL Programming // NEW in Dyalog v20.0Inline Tracing in Dyalog // APL Programming // NEW in Dyalog v20.0Using the Behind Operator in Dyalog APL // APL Programming // NEW in Dyalog v20.0Running External Programs with ⎕SHELL // APL Programming // NEW in Dyalog v20.0Namespace Manipulation and Data Extraction // APL Programming // NEW in Dyalog v20.0The Beauty of Algorithms (code_report YouTube Video)TinyAPL Extra ArgumentsAPL Session from RecordingKap ForksJ Train TableElimination Sort (APL Quest 2023-1)What’s Your Sign? (APL Quest 2018-4)

In this episode, Conor chats with Max Sun about his path to becoming an APL-er.SocialsTacit Talk YouTube PlaylistConor Hoekstra: Twitter | BlueSky | MastodonAbout the GuestsMax Sun is Senior APL Developer at InvestCloud, Inc. and was previously an APL developer at BCA Research. His interests include array programming, functional programming and programming languages and paradigms.Show NotesDate Recorded: 2025-10-05Date Released: 2025-12-29Tacit Talk Episode 28: Co-dfns & AI with Aaron HsuArrayCast Episode 22: Josh David, APL in IndustryBCA ResearchCTFP VideosAPL Open Jobs

In this episode, Conor chats with Aaron Hsu live from Minnowbrook 2025 about Co-dfns, fonts, AI and more!SocialsTacit Talk YouTube PlaylistConor Hoekstra: Twitter | BlueSky | MastodonAbout the GuestsAaron Hsu is the implementor of Co-dfns and an advocate for a terse and minimal array programming style. Hsu has a background in academic functional programming, and was primarily a Scheme programmer for ten years before learning APL. He was introduced to APL by Morten Kromberg while working on a GPU-hosted compiler, and switched to Dyalog APL for the project, which is now Co-dfns.Show NotesDate Recorded: 2025-10-04Date Released: 2025-10-22ADSP Episode 197: 🇬🇧 Algorithms & Tersity with Aaron HsuADSPArrayCastADSP Episode 111: C++23 Ranges, 2022 Retro & Star WarsAPL FontsPragmata Pro FontStanley JordanCo-dfnsCo-dfns 4.1.4Co-dfns TweetArrayFireDyalogScriptLearning APLArrayCast Episode 114: Gary Bergquist and Zark Utilities