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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 261,636 of 262,912    |
|    Mild Shock to Mild Shock    |
|    BB(5) also used proof theoretic methods     |
|    03 Dec 25 00:19:52    |
      XPost: alt.philosophy, comp.theory       From: janburse@fastmail.fm              Hi,              The Coq proof of the value of BB(5), draw       on a sub module BusyCoq. Which drew on an       amazing array of programming languages:              Verified implementations of Busy Beaver deciders.       The computation is split into two parts:              - First, an untrusted decider, written in Rust, tries to decide whether       each machine halts. When it succeeds, it generates a certificate.       - Then, a verifier, proven correct in Coq and extracted to OCaml, checks       each certificate and makes sure that it is correct.              They also use proof theoretic methods       to show non-termination:              A Coq theorem guarantees that if the verifier       accepts a certificate, then the corresponding       machine doesn't halt.       https://github.com/meithecatte/busycoq              Not consuming the atoms of the universe.              Bye              Mild Shock schrieb:       > Hi,       >       > I am doing the wake-up call until everybody       > gets ear-bleeding. It just too cringe to       > see the symbolics computing morons struggle       >       > with connectionism. But given that humans       > have a brain with neurons, it should be obvious       > that symbolism and connections are just two       >       > sides of the same coin.       >       > Good Luck!       >       > Bye       >       > Mild Shock schrieb:       >> Hi,       >>       >> 1) Classical computing = Boolean logic + von Neumann architecture       >>       >> For decades, all mainstream computation was built on:       >> Boolean algebra       >> Logic gates       >> Scalar operations executed sequentially       >> Memory and compute as separate blocks       >> Even floating-point arithmetic was implemented on top of Boolean logic.       >>       >> This shaped how programmers think — algorithms expressed       >> as symbolic operations, control flow, and discrete steps.       >>       >> 2) AI accelerators break from that model       >>       >> Modern accelerators — GPUs, TPUs, NPUs, and custom matrix       >> engines — use a different computational substrate:       >>       >> Instead of Boolean logic:       >> → Bulk linear algebra over vectors/tensors       >>       >> Instead of instruction-by-instruction control:       >> → Dataflow graphs       >>       >> Instead of sequential compute on registers:       >> → Massively parallel fused-multiply-add units       >>       >> Instead of manually orchestrated loops:       >> → High-level declarative specs (XLA, MLIR, TVM)       >>       >> Have Fun!       >>       >> Bye       >>       >> Julio Di Egidio schrieb:       >>> On 30/11/2025 22:21, Mild Shock wrote:       >>>       >>>> In the coming age of analog computing,       >>>> symbolic logic means nothing:       >>>       >>> "In the coming age of analog computing" is a counter factual,       >>> but if it did mean anything, it would mean the exact opposite       >>> you apparently think it means: as I was saying, indeed analogic       >>> does naturally go with symbolic, of course, not the other way       >>> round, you other resident piece of nazi-retarded spamming shit.       >>>       >>>> “The high data-rate sense perception and       >>>> identification abilities of the human system       >>>       >>> Sure. Get the fuck out of here, you and your employer.       >>>       >>> *Plonk*       >>>       >>> Julio       >>>       >>       >              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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