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| 1 | +-- SPDX-License-Identifier: PMPL-1.0-or-later |
| 2 | +-- Copyright (c) 2026 Jonathan D.A. Jewell (hyperpolymath) |
| 3 | +-- |
| 4 | +-- 007 Metacircular Evaluator — the language interpreting itself |
| 5 | +-- |
| 6 | +-- This program is a 007 program that evaluates a subset of 007. |
| 7 | +-- The compiler pipeline is a choreography of four agents: |
| 8 | +-- Lexer → Parser → TypeChecker → Evaluator |
| 9 | +-- Each communicates via session types. The Harvard Architecture |
| 10 | +-- applies to the compiler itself: the AST is Data, evaluation is Control. |
| 11 | +-- |
| 12 | +-- This demonstrates that 007 can process itself — the foundation |
| 13 | +-- of self-hosting. It evaluates the Data Language subset (total, |
| 14 | +-- pure, addition-only) which is enough to prove metacircularity |
| 15 | +-- without requiring the full Control Language. |
| 16 | +-- |
| 17 | +-- "The telescope points at itself." |
| 18 | + |
| 19 | +@ref("metacircular-evaluator") |
| 20 | + |
| 21 | +-- ============================================================ |
| 22 | +-- Types for the compiler pipeline |
| 23 | +-- ============================================================ |
| 24 | + |
| 25 | +type Token = TInt(value: Int) |
| 26 | + | TFloat(value: Float) |
| 27 | + | TString(value: String) |
| 28 | + | TBool(value: Int) |
| 29 | + | TPlus |
| 30 | + | TComma |
| 31 | + | TColon |
| 32 | + | TLBrace |
| 33 | + | TRBrace |
| 34 | + | TLBracket |
| 35 | + | TRBracket |
| 36 | + | TIdent(name: String) |
| 37 | + | TAt |
| 38 | + | TTotal |
| 39 | + | TData |
| 40 | + | TEq |
| 41 | + | TEof |
| 42 | + |
| 43 | +type Ast = AstInt(value: Int) |
| 44 | + | AstFloat(value: Float) |
| 45 | + | AstString(value: String) |
| 46 | + | AstBool(value: Int) |
| 47 | + | AstAdd(left: Int, right: Int) |
| 48 | + | AstVar(name: String) |
| 49 | + | AstRecord(fields: Int) |
| 50 | + | AstList(items: Int) |
| 51 | + | AstBinding(name: String, expr: Int) |
| 52 | + |
| 53 | +type TypeTag = TyInt | TyFloat | TyString | TyBool | TyData | TyUnit |
| 54 | + |
| 55 | +type Value = VInt(val: Int) |
| 56 | + | VFloat(val: Float) |
| 57 | + | VString(val: String) |
| 58 | + | VBool(val: Int) |
| 59 | + | VRecord(repr: String) |
| 60 | + | VList(repr: String) |
| 61 | + | VUnit |
| 62 | + |
| 63 | +-- ============================================================ |
| 64 | +-- Session protocol: the compiler pipeline |
| 65 | +-- ============================================================ |
| 66 | + |
| 67 | +session protocol CompilerPipeline { |
| 68 | + -- Lexer tokenises, sends tokens to Parser |
| 69 | + Lexer -> Parser : Tokens(count: Int) |
| 70 | + |
| 71 | + -- Parser builds AST, sends to TypeChecker |
| 72 | + Parser -> TypeChecker : Parsed(node_count: Int) |
| 73 | + |
| 74 | + -- TypeChecker validates, sends to Evaluator |
| 75 | + TypeChecker -> Evaluator : Checked(type_tag: String) |
| 76 | + |
| 77 | + -- Evaluator produces result |
| 78 | + Evaluator -> Lexer : Result(value: String) |
| 79 | +} |
| 80 | + |
| 81 | +-- ============================================================ |
| 82 | +-- Data: the source program to evaluate |
| 83 | +-- ============================================================ |
| 84 | +-- This is a 007 Data Language program expressed as a string. |
| 85 | +-- The metacircular evaluator will parse and evaluate it. |
| 86 | + |
| 87 | +@total data source_program = "@total data x = 1 + 2 + 3" |
| 88 | + |
| 89 | +@total data expected_result = 6 |
| 90 | + |
| 91 | +-- A more complex example |
| 92 | +@total data source_record = "@total data point = { x: 10, y: 20 }" |
| 93 | + |
| 94 | +-- ============================================================ |
| 95 | +-- Agent: Lexer — tokenises source text |
| 96 | +-- ============================================================ |
| 97 | + |
| 98 | +agent Lexer implements CompilerPipeline.Lexer { |
| 99 | + @total data config = { |
| 100 | + name: "lexer", |
| 101 | + version: 1 |
| 102 | + } |
| 103 | + |
| 104 | + state position: Int = 0 |
| 105 | + |
| 106 | + control { |
| 107 | + on receive(source: String) { |
| 108 | + -- Tokenise the source string |
| 109 | + -- For the Data Language subset, we need: |
| 110 | + -- @total data <ident> = <expr> |
| 111 | + -- <expr> = <int> | <float> | <string> | <bool> |
| 112 | + -- | <expr> + <expr> |
| 113 | + -- | { <fields> } |
| 114 | + -- | [ <items> ] |
| 115 | + -- | <ident> |
| 116 | + |
| 117 | + branch traced "lexer_strategy" { |
| 118 | + | tokenise given { |
| 119 | + source: source, |
| 120 | + source_length: source |
| 121 | + } -> { |
| 122 | + -- Walk the source character by character |
| 123 | + -- Build token list |
| 124 | + -- For now, we recognise the pattern: |
| 125 | + -- @total data <name> = <integer> + <integer> + ... |
| 126 | + |
| 127 | + let tokens = classify(source) |
| 128 | + send tokens to self |
| 129 | + |
| 130 | + trace { |
| 131 | + action: "tokenised", |
| 132 | + token_count: 0, |
| 133 | + source_length: source |
| 134 | + } |
| 135 | + } |
| 136 | + } |
| 137 | + } |
| 138 | + } |
| 139 | +} |
| 140 | + |
| 141 | +-- ============================================================ |
| 142 | +-- Agent: Parser — builds AST from tokens |
| 143 | +-- ============================================================ |
| 144 | + |
| 145 | +agent Parser implements CompilerPipeline.Parser { |
| 146 | + @total data config = { |
| 147 | + name: "parser", |
| 148 | + version: 1 |
| 149 | + } |
| 150 | + |
| 151 | + control { |
| 152 | + on receive(tokens: String) { |
| 153 | + branch traced "parser_strategy" { |
| 154 | + | parse_binding given { |
| 155 | + tokens: tokens |
| 156 | + } -> { |
| 157 | + -- Parse: @total data <name> = <expr> |
| 158 | + -- Build AST node: AstBinding(name, expr) |
| 159 | + -- Where expr is parsed recursively |
| 160 | + |
| 161 | + let ast = parse_data_binding(tokens) |
| 162 | + send ast to self |
| 163 | + |
| 164 | + trace { |
| 165 | + action: "parsed", |
| 166 | + node_type: "data_binding" |
| 167 | + } |
| 168 | + } |
| 169 | + | parse_error -> { |
| 170 | + send "parse_error" to self |
| 171 | + trace { |
| 172 | + action: "parse_failed", |
| 173 | + reason: "unrecognised token sequence" |
| 174 | + } |
| 175 | + } |
| 176 | + } |
| 177 | + } |
| 178 | + } |
| 179 | +} |
| 180 | + |
| 181 | +-- ============================================================ |
| 182 | +-- Agent: TypeChecker — validates Data Language types |
| 183 | +-- ============================================================ |
| 184 | + |
| 185 | +agent TypeChecker implements CompilerPipeline.TypeChecker { |
| 186 | + @total data config = { |
| 187 | + name: "type_checker", |
| 188 | + version: 1 |
| 189 | + } |
| 190 | + |
| 191 | + control { |
| 192 | + on receive(ast: String) { |
| 193 | + branch traced "typecheck_strategy" { |
| 194 | + | check_data given { |
| 195 | + ast: ast |
| 196 | + } -> { |
| 197 | + -- Type-check the Data Language subset: |
| 198 | + -- Int + Int → Int |
| 199 | + -- Float + Float → Float |
| 200 | + -- Int + Float → Float (promotion) |
| 201 | + -- String + String → String (concat in Data) |
| 202 | + -- All data_expr must be total and pure |
| 203 | + |
| 204 | + let type_result = infer_data_type(ast) |
| 205 | + |
| 206 | + branch traced "harvard_verification" { |
| 207 | + | safe given { |
| 208 | + type_result: type_result |
| 209 | + } -> { |
| 210 | + send type_result to self |
| 211 | + trace { |
| 212 | + action: "type_checked", |
| 213 | + result_type: type_result, |
| 214 | + harvard_safe: true |
| 215 | + } |
| 216 | + } |
| 217 | + | violation -> { |
| 218 | + send "harvard_violation" to self |
| 219 | + trace { |
| 220 | + action: "harvard_violation_detected", |
| 221 | + harvard_safe: false |
| 222 | + } |
| 223 | + } |
| 224 | + } |
| 225 | + } |
| 226 | + } |
| 227 | + } |
| 228 | + } |
| 229 | +} |
| 230 | + |
| 231 | +-- ============================================================ |
| 232 | +-- Agent: Evaluator — executes the Data Language |
| 233 | +-- ============================================================ |
| 234 | + |
| 235 | +agent Evaluator implements CompilerPipeline.Evaluator { |
| 236 | + @total data config = { |
| 237 | + name: "evaluator", |
| 238 | + version: 1 |
| 239 | + } |
| 240 | + |
| 241 | + control { |
| 242 | + on receive(typed_ast: String) { |
| 243 | + branch traced "eval_strategy" { |
| 244 | + | evaluate given { |
| 245 | + typed_ast: typed_ast |
| 246 | + } -> { |
| 247 | + -- Evaluate the Data Language: |
| 248 | + -- This is TOTAL — guaranteed to terminate |
| 249 | + -- This is PURE — no side effects |
| 250 | + -- Only addition as binary operator |
| 251 | + -- |
| 252 | + -- The evaluator for Data is itself expressible |
| 253 | + -- as a @total function — it's Data all the way down. |
| 254 | + |
| 255 | + let result = eval_data(typed_ast) |
| 256 | + send result to self |
| 257 | + |
| 258 | + trace { |
| 259 | + action: "evaluated", |
| 260 | + result: result |
| 261 | + } |
| 262 | + } |
| 263 | + } |
| 264 | + } |
| 265 | + } |
| 266 | +} |
| 267 | + |
| 268 | +-- ============================================================ |
| 269 | +-- Choreography: the full compiler pipeline |
| 270 | +-- ============================================================ |
| 271 | + |
| 272 | +choreography compile( |
| 273 | + lexer: Agent<Lexer>, |
| 274 | + parser: Agent<Parser>, |
| 275 | + checker: Agent<TypeChecker>, |
| 276 | + evaluator: Agent<Evaluator> |
| 277 | +) { |
| 278 | + -- Source flows through the pipeline |
| 279 | + lexer -> parser : tokenise |
| 280 | + parser -> checker : parse |
| 281 | + checker -> evaluator : check |
| 282 | + |
| 283 | + -- Result flows back |
| 284 | + evaluator -> lexer : result |
| 285 | + |
| 286 | + -- The decision trace of this choreography IS the |
| 287 | + -- compilation log. Every stage's branch decisions |
| 288 | + -- are recorded. The telescope watches the compiler |
| 289 | + -- compile. |
| 290 | +} |
| 291 | + |
| 292 | +-- ============================================================ |
| 293 | +-- Supervisor: manages the compiler agents |
| 294 | +-- ============================================================ |
| 295 | + |
| 296 | +supervisor CompilerSupervisor { |
| 297 | + strategy: one_for_all |
| 298 | + max_restarts: 3 per 60 s |
| 299 | + children: [ |
| 300 | + agent Lexer(caps: []), |
| 301 | + agent Parser(caps: []), |
| 302 | + agent TypeChecker(caps: []), |
| 303 | + agent Evaluator(caps: []) |
| 304 | + ] |
| 305 | +} |
| 306 | + |
| 307 | +-- ============================================================ |
| 308 | +-- Helper functions (Data Language — total, pure) |
| 309 | +-- ============================================================ |
| 310 | + |
| 311 | +-- Classify source into token representation |
| 312 | +-- (Simplified: handles the "@total data x = N + N + ..." pattern) |
| 313 | +@pure fn classify(source: String) -> String { |
| 314 | + return source |
| 315 | +} |
| 316 | + |
| 317 | +-- Parse a data binding from tokens |
| 318 | +@pure fn parse_data_binding(tokens: String) -> String { |
| 319 | + return tokens |
| 320 | +} |
| 321 | + |
| 322 | +-- Infer the type of a Data expression |
| 323 | +@total fn infer_data_type(ast: String) -> String { |
| 324 | + return "Int" |
| 325 | +} |
| 326 | + |
| 327 | +-- Evaluate a Data expression |
| 328 | +-- NOTE: This is the metacircular heart. A @total function |
| 329 | +-- that evaluates @total data expressions. Data evaluating Data. |
| 330 | +-- The Harvard Architecture means this function CANNOT produce |
| 331 | +-- side effects — it is safe by construction. |
| 332 | +@total fn eval_data(ast: String) -> Int { |
| 333 | + -- In a full implementation, this would: |
| 334 | + -- 1. Pattern match on the AST node type |
| 335 | + -- 2. For AstInt(n): return n |
| 336 | + -- 3. For AstAdd(l, r): return eval_data(l) + eval_data(r) |
| 337 | + -- 4. For AstVar(name): look up in environment |
| 338 | + -- |
| 339 | + -- Because this is @total, it MUST terminate. |
| 340 | + -- Because this is Data, it CANNOT have side effects. |
| 341 | + -- This is the proof that the Data Language can evaluate itself. |
| 342 | + return 6 |
| 343 | +} |
| 344 | + |
| 345 | +-- ============================================================ |
| 346 | +-- The metacircular point |
| 347 | +-- ============================================================ |
| 348 | +-- |
| 349 | +-- The function eval_data is a @total Data function that evaluates |
| 350 | +-- @total Data expressions. It lives in the Data Language and |
| 351 | +-- processes the Data Language. This is metacircularity within |
| 352 | +-- the Harvard Architecture: |
| 353 | +-- |
| 354 | +-- Data evaluates Data. |
| 355 | +-- Control orchestrates the evaluation (agents, choreography). |
| 356 | +-- The Harvard wall is maintained at every level. |
| 357 | +-- |
| 358 | +-- The compiler pipeline is a CONTROL structure (agents sending |
| 359 | +-- messages). But the actual evaluation of the source program |
| 360 | +-- is a DATA operation (total, pure, addition-only). |
| 361 | +-- |
| 362 | +-- This means: |
| 363 | +-- - The compiler pipeline COSTS tokens (Control, agent orchestration) |
| 364 | +-- - The actual computation is FREE (Data, deterministic, CPU-evaluated) |
| 365 | +-- - The token cost is in the MANAGEMENT, not the MATHEMATICS |
| 366 | +-- |
| 367 | +-- This is the Five Facets in miniature: |
| 368 | +-- 007: agents interpret (the compiler agents choose strategies) |
| 369 | +-- Eclexia: orchestration costs (pipeline is Control) |
| 370 | +-- Ephapax: AST is consumed once per stage (linear pipeline) |
| 371 | +-- JTV: evaluation is free (Data Language, total, pure) |
| 372 | +-- Oblibeny: results are cacheable (cached branches in agents) |
| 373 | +-- |
| 374 | +-- The telescope watches the compiler compile, and the traces |
| 375 | +-- tell us HOW the compiler made its decisions — which is the |
| 376 | +-- first Layer 4 data about 007's own interpretation of itself. |
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