nx_compare_systems_test.nx source
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1// nx_compare_systems_test.nx -- run the comparison engine vs each peer.
2
3import "nx_compare_systems.nx"
4
5// ===== vs HOL Light ===============================================
6func compare_vs_hol_light() -> nx_int {
7 println("=========================================================" as *u8)
8 println("vs HOL Light (Harrison, ~500 LOC OCaml kernel, FOL+ML)" as *u8)
9 println("=========================================================" as *u8)
10 let _r1: nx_int = nx_compare_row(NX_AXIS_KERNEL_LOC, NX_PEER_HOL_LIGHT,
11 "~340 LOC NishiLang" as *u8, "~500 LOC OCaml" as *u8,
12 NX_VERDICT_WIN, "" as *u8)
13 let _r2: nx_int = nx_compare_row(NX_AXIS_LCF_DISCIPLINE, NX_PEER_HOL_LIGHT,
14 "yes (DISCH+THM rules)" as *u8, "yes (LCF inventor)" as *u8,
15 NX_VERDICT_TIE, "" as *u8)
16 let _r3: nx_int = nx_compare_row(NX_AXIS_NATIVE_TARGET, NX_PEER_HOL_LIGHT,
17 "RV64 + x86_64 native" as *u8, "OCaml bytecode" as *u8,
18 NX_VERDICT_WIN_BIG, "" as *u8)
19 let _r4: nx_int = nx_compare_row(NX_AXIS_DEPENDENCY_FREE, NX_PEER_HOL_LIGHT,
20 "zero deps" as *u8, "OCaml + camlp5" as *u8,
21 NX_VERDICT_WIN, "" as *u8)
22 let _r5: nx_int = nx_compare_row(NX_AXIS_TACTIC_LANG, NX_PEER_HOL_LIGHT,
23 "nx_tactics (8 tactics)" as *u8, "REWRITE/MESON/INDUCT" as *u8,
24 NX_VERDICT_LOSE, "build REWRITE_TAC + MESON-style auto" as *u8)
25 let _r6: nx_int = nx_compare_row(NX_AXIS_AUTO_PROVER, NX_PEER_HOL_LIGHT,
26 "nx_prove propositional" as *u8, "MESON FOL" as *u8,
27 NX_VERDICT_LOSE, "extend nx_prove to first-order via skolem" as *u8)
28 let _r7: nx_int = nx_compare_row(NX_AXIS_SEMANTIC_REJECT, NX_PEER_HOL_LIGHT,
29 "yes (Term-shape check)" as *u8, "yes (HOL type check)" as *u8,
30 NX_VERDICT_TIE, "" as *u8)
31 let _r8: nx_int = nx_compare_row(NX_AXIS_LIBRARY_SIZE, NX_PEER_HOL_LIGHT,
32 "~4274 funcs / 1 thm" as *u8, "~10000 thms" as *u8,
33 NX_VERDICT_LOSE_BIG, "ship OpenTheory replay engine + arith library" as *u8)
34 let _r9: nx_int = nx_compare_row(NX_AXIS_LOGIC, NX_PEER_HOL_LIGHT,
35 "intuitionistic + LEM axiom" as *u8, "classical HOL" as *u8,
36 NX_VERDICT_TIE, "" as *u8)
37 let _r10: nx_int = nx_compare_row(NX_AXIS_CLASSICAL_AXIOMS, NX_PEER_HOL_LIGHT,
38 "LEM/DNE/Peirce explicit" as *u8, "default" as *u8,
39 NX_VERDICT_WIN, "" as *u8)
40 let _r11: nx_int = nx_compare_row(NX_AXIS_VISUAL_NATIVE, NX_PEER_HOL_LIGHT,
41 "CLI ASCII + SVG native" as *u8, "none" as *u8,
42 NX_VERDICT_WIN_BIG, "" as *u8)
43 let _r12: nx_int = nx_compare_row(NX_AXIS_PHYSICS, NX_PEER_HOL_LIGHT,
44 "nx_units 7-D dim" as *u8, "none" as *u8,
45 NX_VERDICT_WIN_BIG, "" as *u8)
46 let _r13: nx_int = nx_compare_row(NX_AXIS_BITS_UP_BUILD, NX_PEER_HOL_LIGHT,
47 "RV64 asm out, no CRT" as *u8, "OCaml runtime" as *u8,
48 NX_VERDICT_WIN_BIG, "" as *u8)
49 return 0
50}
51
52// ===== vs Coq ======================================================
53func compare_vs_coq() -> nx_int {
54 println("" as *u8)
55 println("=========================================================" as *u8)
56 println("vs Coq (Calculus of Inductive Constructions, dependent types)" as *u8)
57 println("=========================================================" as *u8)
58 let _r1: nx_int = nx_compare_row(NX_AXIS_KERNEL_LOC, NX_PEER_COQ,
59 "~340 LOC" as *u8, "~30000 LOC OCaml" as *u8,
60 NX_VERDICT_WIN_BIG, "" as *u8)
61 let _r2: nx_int = nx_compare_row(NX_AXIS_LOGIC, NX_PEER_COQ,
62 "intuitionistic + LEM" as *u8, "CIC dependent types" as *u8,
63 NX_VERDICT_LOSE, "add dependent-type kernel rules (Pi/Sigma)" as *u8)
64 let _r3: nx_int = nx_compare_row(NX_AXIS_TACTIC_LANG, NX_PEER_COQ,
65 "8 basic tactics" as *u8, "Ltac/Ltac2 + plugins" as *u8,
66 NX_VERDICT_LOSE_BIG, "ship Ltac-equivalent metaprogramming layer" as *u8)
67 let _r4: nx_int = nx_compare_row(NX_AXIS_AUTO_PROVER, NX_PEER_COQ,
68 "nx_prove propositional" as *u8, "tauto/firstorder/lia/nia" as *u8,
69 NX_VERDICT_LOSE, "ship lia (Presburger) + nia decision procs" as *u8)
70 let _r5: nx_int = nx_compare_row(NX_AXIS_LIBRARY_SIZE, NX_PEER_COQ,
71 "~4274 funcs" as *u8, "~50000 stdlib lemmas" as *u8,
72 NX_VERDICT_LOSE_BIG, "build .v export parser to ingest stdlib" as *u8)
73 let _r6: nx_int = nx_compare_row(NX_AXIS_NATIVE_TARGET, NX_PEER_COQ,
74 "RV64 + x86_64" as *u8, "OCaml bytecode" as *u8,
75 NX_VERDICT_WIN_BIG, "" as *u8)
76 let _r7: nx_int = nx_compare_row(NX_AXIS_DEPENDENCY_FREE, NX_PEER_COQ,
77 "zero deps" as *u8, "OCaml + opam ecosystem" as *u8,
78 NX_VERDICT_WIN, "" as *u8)
79 let _r8: nx_int = nx_compare_row(NX_AXIS_VISUAL_NATIVE, NX_PEER_COQ,
80 "ASCII + SVG native" as *u8, "CoqIDE / Proof General (Emacs)" as *u8,
81 NX_VERDICT_WIN, "" as *u8)
82 let _r9: nx_int = nx_compare_row(NX_AXIS_PHYSICS, NX_PEER_COQ,
83 "nx_units" as *u8, "none in stdlib" as *u8,
84 NX_VERDICT_WIN_BIG, "" as *u8)
85 return 0
86}
87
88// ===== vs Lean 4 ===================================================
89func compare_vs_lean4() -> nx_int {
90 println("" as *u8)
91 println("=========================================================" as *u8)
92 println("vs Lean 4 (CIC + meta + Mathlib4)" as *u8)
93 println("=========================================================" as *u8)
94 let _r1: nx_int = nx_compare_row(NX_AXIS_KERNEL_LOC, NX_PEER_LEAN4,
95 "~340 LOC NishiLang" as *u8, "~10000 LOC C++" as *u8,
96 NX_VERDICT_WIN_BIG, "" as *u8)
97 let _r2: nx_int = nx_compare_row(NX_AXIS_LIBRARY_SIZE, NX_PEER_LEAN4,
98 "~4274 funcs" as *u8, "~200000 Mathlib4 lemmas" as *u8,
99 NX_VERDICT_LOSE_BIG, "Mathport-style .lean parser to NishiLang" as *u8)
100 let _r3: nx_int = nx_compare_row(NX_AXIS_TACTIC_LANG, NX_PEER_LEAN4,
101 "8 basic tactics" as *u8, "Lean elab/macro" as *u8,
102 NX_VERDICT_LOSE_BIG, "ship metaprogramming Term DSL" as *u8)
103 let _r4: nx_int = nx_compare_row(NX_AXIS_AUTO_PROVER, NX_PEER_LEAN4,
104 "nx_prove propositional" as *u8, "decide/omega/polyrith" as *u8,
105 NX_VERDICT_LOSE, "ship omega Presburger + polyrith Groebner" as *u8)
106 let _r5: nx_int = nx_compare_row(NX_AXIS_NATIVE_TARGET, NX_PEER_LEAN4,
107 "RV64 + x86_64 native" as *u8, "C codegen via lean->cpp" as *u8,
108 NX_VERDICT_WIN, "" as *u8)
109 let _r6: nx_int = nx_compare_row(NX_AXIS_DEPENDENCY_FREE, NX_PEER_LEAN4,
110 "zero deps" as *u8, "GMP + LLVM + cpp" as *u8,
111 NX_VERDICT_WIN, "" as *u8)
112 let _r7: nx_int = nx_compare_row(NX_AXIS_VISUAL_NATIVE, NX_PEER_LEAN4,
113 "ASCII + SVG native" as *u8, "VSCode plugin" as *u8,
114 NX_VERDICT_WIN, "" as *u8)
115 return 0
116}
117
118// ===== vs Isabelle =================================================
119func compare_vs_isabelle() -> nx_int {
120 println("" as *u8)
121 println("=========================================================" as *u8)
122 println("vs Isabelle/HOL (Cambridge/TUM, Pure + HOL + AFP)" as *u8)
123 println("=========================================================" as *u8)
124 let _r1: nx_int = nx_compare_row(NX_AXIS_KERNEL_LOC, NX_PEER_ISABELLE,
125 "~340 LOC" as *u8, "~10000 LOC SML" as *u8,
126 NX_VERDICT_WIN_BIG, "" as *u8)
127 let _r2: nx_int = nx_compare_row(NX_AXIS_AUTO_PROVER, NX_PEER_ISABELLE,
128 "nx_prove propositional" as *u8, "Sledgehammer + Isar" as *u8,
129 NX_VERDICT_LOSE_BIG, "Sledgehammer-class FOL ATP integration" as *u8)
130 let _r3: nx_int = nx_compare_row(NX_AXIS_LIBRARY_SIZE, NX_PEER_ISABELLE,
131 "~4274 funcs" as *u8, "AFP ~700+ entries / 100K+ lemmas" as *u8,
132 NX_VERDICT_LOSE_BIG, "AFP .thy parser -> NishiLang Term replay" as *u8)
133 let _r4: nx_int = nx_compare_row(NX_AXIS_NATIVE_TARGET, NX_PEER_ISABELLE,
134 "RV64 + x86_64 native" as *u8, "Poly/ML + JVM (jEdit IDE)" as *u8,
135 NX_VERDICT_WIN_BIG, "" as *u8)
136 let _r5: nx_int = nx_compare_row(NX_AXIS_DEPENDENCY_FREE, NX_PEER_ISABELLE,
137 "zero deps" as *u8, "Poly/ML + Java + Scala" as *u8,
138 NX_VERDICT_WIN, "" as *u8)
139 return 0
140}
141
142// ===== vs Mathematica =============================================
143func compare_vs_mathematica() -> nx_int {
144 println("" as *u8)
145 println("=========================================================" as *u8)
146 println("vs Mathematica (Wolfram, closed-source CAS)" as *u8)
147 println("=========================================================" as *u8)
148 let _r1: nx_int = nx_compare_row(NX_AXIS_OPEN_SOURCE, NX_PEER_MATHEMATICA,
149 "MIT/Apache (open)" as *u8, "proprietary $$$" as *u8,
150 NX_VERDICT_WIN_BIG, "" as *u8)
151 let _r2: nx_int = nx_compare_row(NX_AXIS_LIBRARY_SIZE, NX_PEER_MATHEMATICA,
152 "~4274 callable" as *u8, "~5000 built-ins" as *u8,
153 NX_VERDICT_LOSE, "ship special-functions library + ODE solver" as *u8)
154 let _r3: nx_int = nx_compare_row(NX_AXIS_SYMBOLIC_CALC, NX_PEER_MATHEMATICA,
155 "nx_calc deriv + chain" as *u8, "D[]/Integrate[]/Series[]" as *u8,
156 NX_VERDICT_LOSE_BIG, "ship symbolic Integrate + Series + Solve" as *u8)
157 let _r4: nx_int = nx_compare_row(NX_AXIS_LCF_DISCIPLINE, NX_PEER_MATHEMATICA,
158 "yes" as *u8, "no (CAS-style trust)" as *u8,
159 NX_VERDICT_WIN_BIG, "" as *u8)
160 let _r5: nx_int = nx_compare_row(NX_AXIS_NATIVE_TARGET, NX_PEER_MATHEMATICA,
161 "RV64 + x86_64" as *u8, "WolframLang VM" as *u8,
162 NX_VERDICT_WIN, "" as *u8)
163 let _r6: nx_int = nx_compare_row(NX_AXIS_DEPENDENCY_FREE, NX_PEER_MATHEMATICA,
164 "zero deps" as *u8, "Wolfram engine 5+ GB" as *u8,
165 NX_VERDICT_WIN_BIG, "" as *u8)
166 let _r7: nx_int = nx_compare_row(NX_AXIS_PHYSICS, NX_PEER_MATHEMATICA,
167 "nx_units 7-D dims" as *u8, "QuantityMagnitude/Units" as *u8,
168 NX_VERDICT_LOSE, "ship Quantity arithmetic + unit conversion table" as *u8)
169 let _r8: nx_int = nx_compare_row(NX_AXIS_CHEMISTRY, NX_PEER_MATHEMATICA,
170 "nx_chem H..Ar" as *u8, "ChemicalData[] full table + reactions" as *u8,
171 NX_VERDICT_LOSE_BIG, "extend periodic table to 118 + balance reactions" as *u8)
172 let _r9: nx_int = nx_compare_row(NX_AXIS_VISUAL_NATIVE, NX_PEER_MATHEMATICA,
173 "ASCII + SVG" as *u8, "ListPlot/Plot/3D notebook" as *u8,
174 NX_VERDICT_LOSE, "ship 3D rendering + interactive plots" as *u8)
175 let _r10: nx_int = nx_compare_row(NX_AXIS_PROOF_OUTPUT, NX_PEER_MATHEMATICA,
176 "two-column + Term-tree" as *u8, "no formal proof output" as *u8,
177 NX_VERDICT_WIN_BIG, "" as *u8)
178 return 0
179}
180
181// ===== Aggregate scoreboard =======================================
182func emit_summary() -> nx_int {
183 println("" as *u8)
184 println("=========================================================" as *u8)
185 println("AGGREGATE per-peer scoreboard" as *u8)
186 println("=========================================================" as *u8)
187 println(" vs HOL Light 7 WIN/WIN_BIG, 2 TIE, 4 LOSE/LOSE_BIG (13 axes)" as *u8)
188 println(" vs Coq 5 WIN/WIN_BIG, 0 TIE, 4 LOSE/LOSE_BIG ( 9 axes)" as *u8)
189 println(" vs Lean 4 4 WIN/WIN_BIG, 0 TIE, 3 LOSE/LOSE_BIG ( 7 axes)" as *u8)
190 println(" vs Isabelle 3 WIN/WIN_BIG, 0 TIE, 2 LOSE/LOSE_BIG ( 5 axes)" as *u8)
191 println(" vs Mathematica 5 WIN/WIN_BIG, 0 TIE, 5 LOSE/LOSE_BIG (10 axes)" as *u8)
192 println("" as *u8)
193 println(" WORLD-CLASS NET (combining all 5 peers):" as *u8)
194 println(" + WIN_BIG on: kernel_LOC, native_target, dependency_free, visual_native," as *u8)
195 println(" bits_up_build, open_source, LCF (vs CAS)" as *u8)
196 println(" + WIN on: classical_axioms (explicit citations), proof output" as *u8)
197 println(" - LOSE_BIG on: library_size (need ingestion engine)," as *u8)
198 println(" tactic language (need Ltac/elab equivalent)," as *u8)
199 println(" symbolic calculus (need Integrate/Solve)" as *u8)
200 println(" - LOSE on: auto_prover (need Presburger + Sledgehammer-class)," as *u8)
201 println(" chemistry (need full periodic table + reactions)" as *u8)
202 println("" as *u8)
203 println("HONEST WORLD-CLASS VERDICT (per cardinal feedback-honest-perf-verdict):" as *u8)
204 println(" We WIN on the SUBSTRATE-LEVEL axes (kernel size, native, deps, visual," as *u8)
205 println(" open source, bits-up build). We LOSE on the CORPUS-LEVEL axes" as *u8)
206 println(" (library size, tactic ecosystem, decision procedures, symbolic CAS)" as *u8)
207 println(" because those incumbents have 30+ years of contributors. We close" as *u8)
208 println(" the corpus gap with INGESTION ENGINES (OpenTheory replay / Mathport /" as *u8)
209 println(" AFP parser) -- one engine per peer system. Refused: claim 'world" as *u8)
210 println(" class on every axis' -- honest LOSE rows above forbid it." as *u8)
211 return 0
212}
213
214func main() -> nx_exit {
215 let _h: nx_int = compare_vs_hol_light()
216 let _c: nx_int = compare_vs_coq()
217 let _l: nx_int = compare_vs_lean4()
218 let _i: nx_int = compare_vs_isabelle()
219 let _m: nx_int = compare_vs_mathematica()
220 let _s: nx_int = emit_summary()
221 return 0
222}