Fredrik Nordvall Forsberg on Linear Logic

It's good to see it abbreviated like this because then you can go to Proofs and Types and get all the details and it makes a lot more sense. Corresponding to these choices of what rules to allow in sequent calculi there is set of type theories, but the whole scheme is not clear to me. It's a generalisation of the Curry Howard correspondence. Maybe this is what The algebras of graph rewriting by Nicolas Behr, Vincent Danos, Ilias Garnier and Tobias Heindel is about? See Martin Elsman - Deriving a Kronecker-Free Functional Quantum Simulator. Also, Dana Scott thought Martín Escardó's work on predicative formalisations of mathematics (e.g. Predicative Aspects of Order Theory in Univalent Foundations by Tom de Jong and Martín Hötzel Escardó) was important because they're in some strong sense invariant under such transformations of the proof system. See About Logic - Interview with Dana Scott. And what about the type schemes associated with concurrent continuation-passing that have shown up all over the place? See Hyperfunctions and Nada Amin - Metacircular Interpretation ad infinitum, in particular the paper Intensions and extensions in a reflective tower (1988) by Olivier Danvy and Karoline Malmkjaer. Wouldn't it be nice of there was a scheme which elaborated these congruences in a disciplined mechanical manner? See MSP Strathclyde Lecure - Conor McBride on Bi-directional Typing. Or is this just a giant conspiracy where these people actually all meet in secret poster-sessions organised by the freemasons or the Vatican or the Mafia and decide what is the next sort of diabolical complication they're going to cook up?

1:04:53 Remark about Girard's idea that cut-elimination in sequent calculus might be provable by a there-and-back-again translation to natural deduction and maybe it is the same sort of thing as normalisation by evaluation. I think lots of things are the same sort of thing but we don't notice because we first see concrete representations in certain contexts that also have a lot of accidental features as a result. This is the whole thing about Aristotelian induction too: the intuition grasps first the generalization and only later recognizes it as the particular that the senses see. What is the Original Generality? Thought itself, I think. See Samaneri Jayasāra - Longchenpa The Enlightened Mind ~ Dzogchen. So if one's ideas are worth anything at all, it is because they can be traced back to actual thought. This is not the case for accidental coincidences.

Some of their lectures are very short. A few weeks ago there was one entitled "Approximation Theory for Distant Bang Calculus" and it was about 30 seconds, ... I guess whatever that abstraction represented it just got immediately η-converted and its significance vanished. Approximation semantics refers to Böhm trees, introduced by Barendregt to model infinite reduction sequences in terms of solvability in call-by-name lambda reduction, i.e. head-normal forms. I thought these turned up in a quite natural way in Girard et al's coherence space semantics for System-T. See Jeremy Gibbons on Total Functional Programming where he seems to ask quite a lot from a type checker and I still can't really see why. Type inference does prove theorems automatically, but you have to prove them in the right order otherwise you're proving things that are accidental, then you will find you also have to prove a great many contingent facts. See Hilbert's Twenty-fourth Problem.

They have some really good stuff going on there: Mathematically Structured Programming Group. Dijkstra would be pleased.

Subscribe to MSP - Strathclyde.

See William Byrd on Relational Programming and Quines:

See Doyle's 1980 MIT PhD thesis "A Model for Deliberation, Action and Introspection". His supervisor was Gerald Sussman.

That's eelectricicial engineering! Well, it was the late seventies, ... That's fucking hilarious! But it might still be an interesting approach to natural intelligence. Start with modelling a simpler system like supercritical phase transition in liquids maybe.

That's a clip from a documentary I tried to make once. Here's the next part:

What is it about The System that makes it seems fucking tyrannical? People telling lies? See Laura Pausini's music video she made on her phone: Laura Pausini - Mientes (Camila – 2009). I have tons of footage not on YouTube. I lost more than I uploaded. I really wanted David Lynch to help and I called his office in LA but they said they couldn't help. They didn't say why but maybe it was that David was already housebound because of his emphysema.

Lykki Li did a great music video. Looks like a "Wild at Heart" followup to a Lana Del Rey one: