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Universal Pattern Calculus defines patterns across all domains using three primitives and four operators. It provides a minimal structure for extraction, equivalence, evolution, and collapse of patterns.
The full specification, versioning, and algebra are on GitHub.
Core definition A pattern is a transformable object composed of Structure, Signal, and Constraint. The calculus defines four operators:
U extracts the minimal pattern T transforms patterns while preserving equivalence D updates patterns over time C collapses patterns to their unique minimal form
Axioms
Every phenomenon contains a pattern expressible as Structure, Signal, Constraint.
U extracts the minimal pattern once noise is removed.
Two patterns are equivalent if a reversible T exists between them.
D governs pattern evolution.
C produces the unique minimal representation of a pattern.
Worked example Human conflict escalation reduces to a two‑node positive feedback loop. This loop is equivalent to a mechanical oscillator pair under T. D predicts escalation until a constraint breaks. C collapses both to the same minimal pattern.
Full spec and versioning: https://github.com/yourname/universal-pattern-calculus (github.com in Bing)
Universal Pattern Calculus defines patterns across all domains using three primitives and four operators.
It provides a minimal structure for extraction, equivalence, evolution, and collapse of patterns.
The full specification, versioning, and algebra are on GitHub.
Core definition
A pattern is a transformable object composed of Structure, Signal, and Constraint.
The calculus defines four operators:
U extracts the minimal pattern
T transforms patterns while preserving equivalence
D updates patterns over time
C collapses patterns to their unique minimal form
Axioms
Worked example
Human conflict escalation reduces to a two‑node positive feedback loop.
This loop is equivalent to a mechanical oscillator pair under T.
D predicts escalation until a constraint breaks.
C collapses both to the same minimal pattern.
Full spec and versioning:
https://github.com/yourname/universal-pattern-calculus(github.com in Bing)