SSCAR family supplementary derivations (FAM-SSCAR)

This supplement asks whether the workflow the SSCAR family specifies can be carried, unchanged, across the history of programmable computation — from the card program of the Analytical Engine, described in 1843, through Lisp, AWK, spreadsheet formulas, and Brainfuck, to Rust. It records "the FAM-SSCAR family derivation of the family integrator in composition"; it is not a standalone implementation or a declaration of family conformance, and the canonical family package remains authoritative. The 792-tuple workflow projection comes out byte-identical in Common Lisp, Brainfuck, an Analytical Engine-style card program (run in an emulator), AWK and the Rust comparator, and all 792 results of the spreadsheet's formula-driven sweep match the reference. In AWK, the integrator's public suite of 30 granular records produced 29 PASS, 0 FAIL, 1 SKIP and 0 ERROR, and the fourteen Annex C connector tests produced 14 PASS. The result is read as evidence of derivability across paradigm and era, not as a certification. Integrity. SSCAR_Family_Supplement.zip, 28 files, SHA-256 92a6011fb627f0af4f39292dc0a9f63f72e6f41676dae8beb66121e490a621fc. Supplement Manifest (SSCAR_Family_Supplement_Manifest.json), SHA-256 bfa5075282164beb690ee5a09169b7af5255fe1c6e31764cd4b950ea70897f75; its parent is the family package Manifest, manifest_ref 33ae0304298fe8891231455741dc512404cef9406e0f1c2ed5499945a3b497f5. The SSCAR family package is archived as a separate record: https://doi.org/10.5281/zenodo.23895082. Use of AI tools. The author designed and calibrated the harnesses of the derivations in this supplement. Large language models were used openly, as tools to accelerate research and production, with manual review: they produced the renderings (Common Lisp, Brainfuck, spreadsheet formulas, an Analytical Engine-style program and AWK) and the comparators (the Rust rendering and the reference output spec_792.txt) in the AI-provider environment in which the family package's canonical files were constructed, distinct from the one used for the NNT campaign, as the study artifacts reported in Section 9.6 of the technical report; they are not reference implementations. No tool is an author; the author is accountable for the content. What matters is not which tools touched the files but whether they can be verified: the supplement has its own Manifest, which names the family package Manifest as its parent. Contact: [e-mail]