axionbuster

// The SMAWK algorithm for finding row minima of a totally monotone matrix,
// based on the notes:
// - "Advanced Dynamic Programming," https://courses.grainger.illinois.edu/cs473/sp2016/notes/06-sparsedynprog.pdf
// - Larmore, L.L.; and UNLV, "The SMAWK Algorithm."
//
// COPYRIGHT (c) 2025 by YuJin Kim <axionbuster@gmail.com>.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//

axionbuster

{-# LANGUAGE ParallelListComp #-}
module Data.Zipper (zipper) where

import           Data.List
import qualified Data.List.NonEmpty as NE

-- helper
dropLast :: [a] -> [a]
dropLast = maybe [] fst . unsnoc

axionbuster

-- https://stackoverflow.com/a/9486650 (no relation with author)

import Control.Monad
import Data.Foldable
import GHC.Natural
import Prelude hiding (exp)
import Text.Printf

type N = Natural

axionbuster

Egglog as an AI Co-Processor: A Comprehensive Vision

Foreword

This document represents the culmination of extensive research and discussion about egglog's potential role in AI systems. Through multiple conversations spanning several models and research phases, we've evolved from viewing egglog as a database-like tool to understanding it as a specialized symbolic reasoning co-processor for AI agents.

The central insight that emerged is treating egglog not as a competitor to LLMs on general intelligence, but as what the x87 math co-processor was to x86 CPUs - a specialized accelerator for symbolic reasoning tasks that neural approaches handle poorly. This vision positions egglog at the intersection of algebraic effects, equality saturation, and AI agent verification.

Executive Summary

axionbuster

{-# LANGUAGE GADTs, UndecidableInstances #-}

-- | Demonstration of existential multiple dictionary passing
--
-- - Synopsis: You can check if an unknown type 't' implements
-- a type class 'c'.
-- - Restriction: This is implemented using a simple linear
-- search.
-- - Restriction 2: Haskell's type classes are inherently open.
-- To get around logical unsoundness, one must fully specify

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-- | Demonstration of an existentially-qualified type class
module Main (main) where

import Data.Constraint (Dict (Dict)) -- constraints
import Data.Kind (Type, Constraint)  -- base

-- A variant that contains a constraint and a term of unknown type.
data Z (c :: Type -> Constraint)
  = forall t. ZY (Dict (c t)) t
  | forall t. ZN t

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{-# LANGUAGE BlockArguments, MagicHash, UnboxedTuples #-}
{-# LANGUAGE ExtendedLiterals, NoImplicitPrelude, ViewPatterns #-}

-- | Convert between 3D Hilbert curve coordinates and distance.
--
-- The chosen curve goes from (0,0,0) to (1,0,0) to (1,0,1)
-- for the first three points (listed in x,y,z order).
module Data.Hilbert3D (hils, hils#, shil, shil#) where

import GHC.Base (($))

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#include <stdint.h>
#ifdef _MSC_VER
#include <intrin.h>
#pragma intrinsic(_BitScanReverse)
#endif // intrin.h for _BitScanReverse

// Algorithm is from "Algorithms for Encoding and Decoding 3D Hilbert Orderings"
// by David Walker, U. Tennessee at Chattanooga. Aug 2023.

typedef uint8_t C;

axionbuster

-- | march along a line segment, finding all intersections with grid points
module Lib (march) where

import Control.Monad.Fix
import Control.Monad.ST.Lazy
import Data.Functor
import Data.Functor.Rep
import Data.STRef.Lazy
import Prelude hiding (read)

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craftus-executables> /home/asdf/p/craftus/craftus-executables/app/Demo2/Play.hs:70:10: error: [GHC-88464]
craftus-executables>     • Found hole: _what :: m a0
craftus-executables>       Where: ‘a0’ is an ambiguous type variable
craftus-executables>              ‘m’ is a rigid type variable bound by
craftus-executables>                the type signature for:
craftus-executables>                  play0 :: forall (m :: * -> *).
craftus-executables>                           MonadPatternGeneral m =>
craftus-executables>                           JPlayer -> JWorld -> m ()
craftus-executables>                at app/Demo2/Play.hs:43:1-61
craftus-executables>       Or perhaps ‘_what’ is mis-spelled, or not in scope