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Democritus: Inferring Causality from Language
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We describe the evolution of DEMOCRITUS, a system for inferring causality from
language. Extracting causal claims from natural language is unstable under paraphrase
granularity shifts, and context drift. A document collection may express the same causal
statement in many surface forms, while neighboring studies may agree locally yet fail to
glue globally because relation families or polarities change across regimes. This paper
studies that problem through successive versions of DEMOCRITUS, an implemented system for compiling documents into local causal models, causal databases, and interactive
diagnostic artifacts. Our central claim is that categorical homotopy offers a useful computational language for finding equivalence classes of paraphrastic causal statements while
avoiding collapsing genuinely distinct claims. We formalize weak equivalence between
causal mentions via a normalization functor, motivate localization into homotopy classes of
extracted claims, and connect missing higher-order coherence to failures of causal gluing.
We then describe how these ideas are realized in the current DEMOCRITUS that uses an AGI
chatbot named CLIFF (Consciousness Layer Interface to Functor Flow) pipeline through
homotopy-localized claim classes, regime-gluing diagnostics, topic partitions, archived
experimental artifacts, topos-style study collation via soft pullbacks and pushout merges,
and an underlying categorical learning stack based on Diagrammatic Backpropagation,
Geometric Transformers, and Kan Extension Transformers. Finally, we report focused case
studies, including Mediterranean diet, red-wine cardiovascular studies, and rising-ocean-temperature corpora, showing that homotopy localization reduces paraphrase inflation
while preserving diagnostically important regime-sensitive and obstructed claims.
Title: Democritus: Inferring Causality from Language
Description:
We describe the evolution of DEMOCRITUS, a system for inferring causality from
language.
Extracting causal claims from natural language is unstable under paraphrase
granularity shifts, and context drift.
A document collection may express the same causal
statement in many surface forms, while neighboring studies may agree locally yet fail to
glue globally because relation families or polarities change across regimes.
This paper
studies that problem through successive versions of DEMOCRITUS, an implemented system for compiling documents into local causal models, causal databases, and interactive
diagnostic artifacts.
Our central claim is that categorical homotopy offers a useful computational language for finding equivalence classes of paraphrastic causal statements while
avoiding collapsing genuinely distinct claims.
We formalize weak equivalence between
causal mentions via a normalization functor, motivate localization into homotopy classes of
extracted claims, and connect missing higher-order coherence to failures of causal gluing.
We then describe how these ideas are realized in the current DEMOCRITUS that uses an AGI
chatbot named CLIFF (Consciousness Layer Interface to Functor Flow) pipeline through
homotopy-localized claim classes, regime-gluing diagnostics, topic partitions, archived
experimental artifacts, topos-style study collation via soft pullbacks and pushout merges,
and an underlying categorical learning stack based on Diagrammatic Backpropagation,
Geometric Transformers, and Kan Extension Transformers.
Finally, we report focused case
studies, including Mediterranean diet, red-wine cardiovascular studies, and rising-ocean-temperature corpora, showing that homotopy localization reduces paraphrase inflation
while preserving diagnostically important regime-sensitive and obstructed claims.
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