Published June 14, 2026 | Version v3

Morphic Inner World: A Substrate-Independent Deterministic Symbolic Core

Authors/Creators

Description

Morphic Inner World: A Substrate-Independent Deterministic Symbolic Core

This repository contains the complete source code, benchmark suite, execution logs, and supplementary materials for the paper "Morphic Inner World: A Substrate-Independent Deterministic Symbolic Core".

MIW is a deterministic symbolic architecture that models reasoning as a structure-preserving projection from natural language into a free term algebra. It uses a strategic longest-match tokenizer, a fixed dictionary of 44 Morphic Primitives, and a decoupled Wisdom Base (WB) to achieve:

  • Complete language invariance between English and Japanese task specifications
  • Platform invariance with bit-identical results across Python and Modern Fortran kernels
  • 100.0% deterministic correctness on a 60-task benchmark suite constructed for this study

Key Features

  • Fully deterministic term-rewriting system with guaranteed termination and confluence
  • Substrate-independent design via the Wisdom Base (WB)
  • Clear execution traces and immutable DAG structure for verifiable reasoning
  • Deterministic error handling (never crashes, returns VError objects)

Contents

  • Python and Modern Fortran implementations
  • Full 60-task benchmark suite with execution logs
  • All figures and supplementary materials
  • Dockerfile and setup instructions for reproducibility

All experiments are fully reproducible. The benchmark is designed as a validation set to exercise the 44 primitives and their compositions, not as a general-purpose benchmark.

Files

morphic_inner_world.pdf

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