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Preprint Sep 2026

A Catalogue of Properties of Binary Relations: Entailments, Incompatibilities, and Independence Results

We study fifteen properties of binary relations that have established uses in modal logic, order and preference theory, and relation algebra. The organising question is pragmatic: once some properties of a relation are known, which further properties follow, which combinations force degeneracy, and which properties rem...

M. Boman · 0 citations

Understanding LLM Failures: A Multi-Tape Turing Machine Analysis of Systematic Errors in Language Model Reasoning

This work proposes a formalisation of LLM interaction using a deterministic multi-tape Turing machine, where each tape represents a distinct component: input characters, tokens, vocabulary, model parameters, activations, probability distributions, and output text.

M. Boman · 1 citation

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