What question did this study set out to answer?

To present qgrammar, a certified grammar compiler that manages chiral gauge matter through innovative coding practices.

July 10, 20260 citationsOpen Access

qgrammar: A Certified Grammar Compiler for Chiral Gauge Matter — typed record alphabets, anomaly certificates, repair searches, and UFO back ends

Key Points

To present qgrammar, a certified grammar compiler that manages chiral gauge matter through innovative coding practices.
Developed a public Python package for data structure definitions and parsing.
Incorporated typed particle records and anomaly certificates with various mathematical frameworks.
Implemented a repair engine for illegal particle processes and a UFO scaffold for exporting models.
Successfully defined types for particles and constructed exact rational anomaly certificates.
Demonstrated functionality through a semiring parser and repair engine, enabling effective processing of complex particle interactions.
Passed smoke tests for integration with existing High Energy Physics (HEP) frameworks.

Abstract

qgrammar: A Certified Grammar Compiler for Chiral Gauge Matter — typed record alphabets, anomaly certificates, repair searches, and UFO back ends. The working-compiler artifact for the quantum-grammar programme: a public Python package (github. com/dgedge/grammar) defining a typed particle record, a finite response alphabet, vertex productions as typed rewrite rules, exact rational anomaly certificates (one SM generation + nuR: sixteen Weyl states, four anomaly sums exactly zero), a semiring parser (Boolean/counting/tropical/complex), a minimal repair engine for illegal processes (sterile photon read, mu -> e gamma, mono-photon + MET), and a UFO scaffold exporter with a MadGraph import smoke test. A certified front end for the existing HEP stack, not a rival simulator: syntax first, response weights second. This record is part of the finite-QEC substrate / It-from-Bit publication refresh. 2026-07-08 canon refresh: This version incorporates the 2026-07-08 ANCHOR/DRIFT/PTMS canon refresh and rebuilt local PDF.

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