|
| 1 | +# SPL-Token lemma rules for `expected_validate_owner_result` and `inner_test_validate_owner` |
| 2 | + |
| 3 | +Adapted from the p-token version (PR #1001). The key difference: spl-token's AccountInfo |
| 4 | +uses raw Aggregate values instead of p-token's PAccountAccount/PAcc wrappers. The intercept |
| 5 | +rules extract individual fields (key, is_signer, owner) from the AccountInfo, and case rules |
| 6 | +match against these pre-extracted Values directly. |
| 7 | + |
| 8 | +Cases 8-10 (multisig initialized signer-checking) are not lemmatized here; they fall through |
| 9 | +to small-step symbolic execution. With n==1 this is fast enough. |
| 10 | + |
| 11 | +```k |
| 12 | +requires "../rt/data.md" |
| 13 | +requires "../kmir.md" |
| 14 | +requires "../rt/configuration.md" |
| 15 | +requires "spl-token.md" |
| 16 | +``` |
| 17 | + |
| 18 | +## Common helpers |
| 19 | + |
| 20 | +```k |
| 21 | +module VALIDATE-OWNER-COMMON-SPL |
| 22 | + imports KMIR-SPL-TOKEN |
| 23 | +
|
| 24 | + syntax List ::= "#splTokenProgramIdBytes" [function, total] |
| 25 | + rule #splTokenProgramIdBytes => |
| 26 | + ListItem(Integer(6, 8, false)) ListItem(Integer(221, 8, false)) |
| 27 | + ListItem(Integer(246, 8, false)) ListItem(Integer(225, 8, false)) |
| 28 | + ListItem(Integer(215, 8, false)) ListItem(Integer(101, 8, false)) |
| 29 | + ListItem(Integer(161, 8, false)) ListItem(Integer(147, 8, false)) |
| 30 | + ListItem(Integer(217, 8, false)) ListItem(Integer(203, 8, false)) |
| 31 | + ListItem(Integer(225, 8, false)) ListItem(Integer(70, 8, false)) |
| 32 | + ListItem(Integer(206, 8, false)) ListItem(Integer(235, 8, false)) |
| 33 | + ListItem(Integer(121, 8, false)) ListItem(Integer(172, 8, false)) |
| 34 | + ListItem(Integer(28, 8, false)) ListItem(Integer(180, 8, false)) |
| 35 | + ListItem(Integer(133, 8, false)) ListItem(Integer(237, 8, false)) |
| 36 | + ListItem(Integer(95, 8, false)) ListItem(Integer(91, 8, false)) |
| 37 | + ListItem(Integer(55, 8, false)) ListItem(Integer(145, 8, false)) |
| 38 | + ListItem(Integer(58, 8, false)) ListItem(Integer(140, 8, false)) |
| 39 | + ListItem(Integer(245, 8, false)) ListItem(Integer(133, 8, false)) |
| 40 | + ListItem(Integer(126, 8, false)) ListItem(Integer(255, 8, false)) |
| 41 | + ListItem(Integer(0, 8, false)) ListItem(Integer(169, 8, false)) |
| 42 | +
|
| 43 | + syntax Value ::= "#splTokenProgramId" [function, total] |
| 44 | + rule #splTokenProgramId => Aggregate(variantIdx(0), ListItem(Range(#splTokenProgramIdBytes))) |
| 45 | +
|
| 46 | +endmodule |
| 47 | +``` |
| 48 | + |
| 49 | +## `expected_validate_owner_result` lemma |
| 50 | + |
| 51 | +```k |
| 52 | +module EXPECTED-VALIDATE-OWNER-RESULT-SPL-TOKEN-LEMMA |
| 53 | + imports VALIDATE-OWNER-COMMON-SPL |
| 54 | +
|
| 55 | + // Args: expected_owner_key, owner_key, is_signer, owner_of_account, data_field, tx_signers_place, maybe_multisig, DEST, TARGET |
| 56 | + syntax KItem ::= #validateOwnerResultExpectedSPL( |
| 57 | + Evaluation, Evaluation, Evaluation, Evaluation, Evaluation, |
| 58 | + Place, Evaluation, Place, MaybeBasicBlockIdx |
| 59 | + ) [seqstrict(1,2,3,4,5,7)] |
| 60 | +
|
| 61 | + rule [validate-owner-expected-intercept-spl]: |
| 62 | + <k> #execTerminatorCall(_, FUNC, |
| 63 | + operandCopy(place(LOCAL0, PROJS0)) |
| 64 | + operandCopy(place(LOCAL1, PROJS1)) |
| 65 | + operandCopy(place(LOCAL2, PROJS2)) |
| 66 | + operandMove(PLACE3) |
| 67 | + .Operands, |
| 68 | + DEST, TARGET, _UNWIND, _SPAN) ~> _CONT |
| 69 | + => #validateOwnerResultExpectedSPL( |
| 70 | + operandCopy(place(LOCAL0, appendP(PROJS0, projectionElemDeref .ProjectionElems))), |
| 71 | + operandCopy(place(LOCAL1, appendP(PROJS1, projectionElemDeref projectionElemField(fieldIdx(0), #hack()) projectionElemDeref .ProjectionElems))), |
| 72 | + operandCopy(place(LOCAL1, appendP(PROJS1, projectionElemDeref projectionElemField(fieldIdx(5), #hack()) .ProjectionElems))), |
| 73 | + operandCopy(place(LOCAL1, appendP(PROJS1, projectionElemDeref projectionElemField(fieldIdx(3), #hack()) projectionElemDeref .ProjectionElems))), |
| 74 | + operandCopy(place(LOCAL1, appendP(PROJS1, projectionElemDeref projectionElemField(fieldIdx(2), #hack()) .ProjectionElems))), |
| 75 | + place(LOCAL2, PROJS2), |
| 76 | + operandCopy(PLACE3), |
| 77 | + DEST, TARGET) |
| 78 | + </k> |
| 79 | + requires #functionName(FUNC) ==String "spl_token::entrypoint::expected_validate_owner_result" |
| 80 | + [priority(30)] |
| 81 | +
|
| 82 | + // Case 1: expected_owner != owner_key => Err(Custom(4)) |
| 83 | + rule [expected-case1-spl]: |
| 84 | + <k> #validateOwnerResultExpectedSPL( |
| 85 | + EXPECTED_OWNER, OWNER_KEY, |
| 86 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 87 | + _MAYBE_MULTISIG, DEST, TARGET) |
| 88 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(0), ListItem(Integer(4, 32, false)))))) ~> #continueAt(TARGET) </k> |
| 89 | + requires EXPECTED_OWNER =/=K OWNER_KEY |
| 90 | + [priority(31)] |
| 91 | +
|
| 92 | +
|
| 93 | + // Case 2: non-multisig, !is_signer => Err(MissingRequiredSignature) |
| 94 | + rule [expected-case2-spl]: |
| 95 | + <k> #validateOwnerResultExpectedSPL( |
| 96 | + OWNER_KEY, OWNER_KEY, |
| 97 | + BoolVal(false), _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 98 | + Aggregate(variantIdx(0), .List), |
| 99 | + DEST, TARGET) |
| 100 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(7), .List)))) ~> #continueAt(TARGET) </k> |
| 101 | + [priority(31)] |
| 102 | +
|
| 103 | +
|
| 104 | + // Case 3: non-multisig, is_signer => Ok(()) |
| 105 | + rule [expected-case3-spl]: |
| 106 | + <k> #validateOwnerResultExpectedSPL( |
| 107 | + OWNER_KEY, OWNER_KEY, |
| 108 | + BoolVal(true), _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 109 | + Aggregate(variantIdx(0), .List), |
| 110 | + DEST, TARGET) |
| 111 | + => #setLocalValue(DEST, Aggregate(variantIdx(0), ListItem(Aggregate(variantIdx(0), .List)))) ~> #continueAt(TARGET) </k> |
| 112 | + [priority(31)] |
| 113 | +
|
| 114 | +
|
| 115 | + // Case 4: multisig, owner != PROGRAM_ID, !is_signer |
| 116 | + rule [expected-case4-spl]: |
| 117 | + <k> #validateOwnerResultExpectedSPL( |
| 118 | + OWNER_KEY, OWNER_KEY, |
| 119 | + BoolVal(false), _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 120 | + Aggregate(variantIdx(1), _), |
| 121 | + DEST, TARGET) |
| 122 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(7), .List)))) ~> #continueAt(TARGET) </k> |
| 123 | + [priority(33)] |
| 124 | +
|
| 125 | +
|
| 126 | + // Case 5: multisig, owner != PROGRAM_ID, is_signer |
| 127 | + rule [expected-case5-spl]: |
| 128 | + <k> #validateOwnerResultExpectedSPL( |
| 129 | + OWNER_KEY, OWNER_KEY, |
| 130 | + BoolVal(true), _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 131 | + Aggregate(variantIdx(1), _), |
| 132 | + DEST, TARGET) |
| 133 | + => #setLocalValue(DEST, Aggregate(variantIdx(0), ListItem(Aggregate(variantIdx(0), .List)))) ~> #continueAt(TARGET) </k> |
| 134 | + [priority(33)] |
| 135 | +
|
| 136 | +
|
| 137 | + // Case 6: multisig, owner == PROGRAM_ID, is_initialized Err |
| 138 | + rule [expected-case6-spl]: |
| 139 | + <k> #validateOwnerResultExpectedSPL( |
| 140 | + OWNER_KEY, OWNER_KEY, |
| 141 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 142 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(1), _))), |
| 143 | + DEST, TARGET) |
| 144 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(3), .List)))) ~> #continueAt(TARGET) </k> |
| 145 | +
|
| 146 | + [priority(31)] |
| 147 | +
|
| 148 | +
|
| 149 | + // Case 7: multisig, owner == PROGRAM_ID, is_initialized = Ok(false) |
| 150 | + rule [expected-case7-spl]: |
| 151 | + <k> #validateOwnerResultExpectedSPL( |
| 152 | + OWNER_KEY, OWNER_KEY, |
| 153 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 154 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(0), ListItem(BoolVal(false))))), |
| 155 | + DEST, TARGET) |
| 156 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(9), .List)))) ~> #continueAt(TARGET) </k> |
| 157 | +
|
| 158 | + [priority(31)] |
| 159 | +
|
| 160 | +
|
| 161 | + // Cases 8-10: multisig initialized signer-checking — no lemma, fall through to small-step |
| 162 | +
|
| 163 | +endmodule |
| 164 | +``` |
| 165 | + |
| 166 | +## `inner_test_validate_owner` lemma |
| 167 | + |
| 168 | +```k |
| 169 | +module INNER-TEST-VALIDATE-OWNER-SPL-TOKEN-LEMMA |
| 170 | + imports VALIDATE-OWNER-COMMON-SPL |
| 171 | +
|
| 172 | + // Same as expected but with extra RESULT arg |
| 173 | + syntax KItem ::= #validateOwnerResultSPL( |
| 174 | + Evaluation, Evaluation, Evaluation, Evaluation, Evaluation, |
| 175 | + Place, Evaluation, Evaluation, Place, MaybeBasicBlockIdx |
| 176 | + ) [seqstrict(1,2,3,4,5,7,8)] |
| 177 | +
|
| 178 | + rule [inner-validate-owner-intercept-spl]: |
| 179 | + <k> #execTerminatorCall(_, FUNC, |
| 180 | + operandCopy(place(LOCAL0, PROJS0)) |
| 181 | + operandCopy(place(LOCAL1, PROJS1)) |
| 182 | + operandCopy(place(LOCAL2, PROJS2)) |
| 183 | + operandMove(PLACE3) |
| 184 | + operandMove(PLACE4) |
| 185 | + .Operands, |
| 186 | + DEST, TARGET, _UNWIND, _SPAN) ~> _CONT |
| 187 | + => #validateOwnerResultSPL( |
| 188 | + operandCopy(place(LOCAL0, appendP(PROJS0, projectionElemDeref .ProjectionElems))), |
| 189 | + operandCopy(place(LOCAL1, appendP(PROJS1, projectionElemDeref projectionElemField(fieldIdx(0), #hack()) projectionElemDeref .ProjectionElems))), |
| 190 | + operandCopy(place(LOCAL1, appendP(PROJS1, projectionElemDeref projectionElemField(fieldIdx(5), #hack()) .ProjectionElems))), |
| 191 | + operandCopy(place(LOCAL1, appendP(PROJS1, projectionElemDeref projectionElemField(fieldIdx(3), #hack()) projectionElemDeref .ProjectionElems))), |
| 192 | + operandCopy(place(LOCAL1, appendP(PROJS1, projectionElemDeref projectionElemField(fieldIdx(2), #hack()) .ProjectionElems))), |
| 193 | + place(LOCAL2, PROJS2), |
| 194 | + operandCopy(PLACE3), |
| 195 | + operandCopy(PLACE4), |
| 196 | + DEST, TARGET) |
| 197 | + </k> |
| 198 | + requires #functionName(FUNC) ==String "spl_token::entrypoint::inner_test_validate_owner" |
| 199 | + [priority(30)] |
| 200 | +
|
| 201 | + // Case 1: expected_owner != owner_key, result must be Err(Custom(4)) |
| 202 | + rule [inner-case1-spl]: |
| 203 | + <k> #validateOwnerResultSPL( |
| 204 | + EXPECTED_OWNER, OWNER_KEY, |
| 205 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 206 | + _MAYBE_MULTISIG, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(0), ListItem(Integer(4, 32, false))))), |
| 207 | + DEST, TARGET) |
| 208 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(0), ListItem(Integer(4, 32, false)))))) ~> #continueAt(TARGET) </k> |
| 209 | + requires EXPECTED_OWNER =/=K OWNER_KEY |
| 210 | + [priority(31)] |
| 211 | +
|
| 212 | +
|
| 213 | + // Case 1b: keys match but result is Err(Custom(4)) — pass through. |
| 214 | + // This handles the symbolic branch where key equality hasn't been split yet. |
| 215 | + rule [inner-case1b-keys-match-custom4-spl]: |
| 216 | + <k> #validateOwnerResultSPL( |
| 217 | + OWNER_KEY, OWNER_KEY, |
| 218 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 219 | + _MAYBE_MULTISIG, |
| 220 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(0), ListItem(Integer(4, 32, false))))), |
| 221 | + DEST, TARGET) |
| 222 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(0), ListItem(Integer(4, 32, false)))))) ~> #continueAt(TARGET) </k> |
| 223 | + [priority(32)] |
| 224 | +
|
| 225 | + // Case 2: non-multisig, !is_signer => Err(MissingRequiredSignature) |
| 226 | + rule [inner-case2-spl]: |
| 227 | + <k> #validateOwnerResultSPL( |
| 228 | + OWNER_KEY, OWNER_KEY, |
| 229 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 230 | + Aggregate(variantIdx(0), .List), |
| 231 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(7), .List))), |
| 232 | + DEST, TARGET) |
| 233 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(7), .List)))) ~> #continueAt(TARGET) </k> |
| 234 | + [priority(31)] |
| 235 | +
|
| 236 | +
|
| 237 | + // Case 3: non-multisig, is_signer => Ok |
| 238 | + // Use wildcard for Ok's inner value to handle thunked () from result.clone() |
| 239 | + rule [inner-case3-spl]: |
| 240 | + <k> #validateOwnerResultSPL( |
| 241 | + OWNER_KEY, OWNER_KEY, |
| 242 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 243 | + Aggregate(variantIdx(0), .List), |
| 244 | + Aggregate(variantIdx(0), _), |
| 245 | + DEST, TARGET) |
| 246 | + => #setLocalValue(DEST, Aggregate(variantIdx(0), ListItem(Aggregate(variantIdx(0), .List)))) ~> #continueAt(TARGET) </k> |
| 247 | + [priority(31)] |
| 248 | +
|
| 249 | +
|
| 250 | + // Case 4: multisig, owner != PROGRAM_ID, !is_signer => Err(MissingRequiredSignature) |
| 251 | + rule [inner-case4-spl]: |
| 252 | + <k> #validateOwnerResultSPL( |
| 253 | + OWNER_KEY, OWNER_KEY, |
| 254 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 255 | + Aggregate(variantIdx(1), _), |
| 256 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(7), .List))), |
| 257 | + DEST, TARGET) |
| 258 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(7), .List)))) ~> #continueAt(TARGET) </k> |
| 259 | + [priority(33)] |
| 260 | +
|
| 261 | +
|
| 262 | + // Case 5: multisig, owner != PROGRAM_ID, is_signer => Ok |
| 263 | + // Use wildcard for Ok's inner value to handle thunked () from result.clone() |
| 264 | + rule [inner-case5-spl]: |
| 265 | + <k> #validateOwnerResultSPL( |
| 266 | + OWNER_KEY, OWNER_KEY, |
| 267 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 268 | + Aggregate(variantIdx(1), _), |
| 269 | + Aggregate(variantIdx(0), _), |
| 270 | + DEST, TARGET) |
| 271 | + => #setLocalValue(DEST, Aggregate(variantIdx(0), ListItem(Aggregate(variantIdx(0), .List)))) ~> #continueAt(TARGET) </k> |
| 272 | + [priority(33)] |
| 273 | +
|
| 274 | +
|
| 275 | + // Case 6: multisig, owner == PROGRAM_ID, is_initialized Err |
| 276 | + rule [inner-case6-spl]: |
| 277 | + <k> #validateOwnerResultSPL( |
| 278 | + OWNER_KEY, OWNER_KEY, |
| 279 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 280 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(1), _))), |
| 281 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(3), .List))), |
| 282 | + DEST, TARGET) |
| 283 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(3), .List)))) ~> #continueAt(TARGET) </k> |
| 284 | +
|
| 285 | + [priority(31)] |
| 286 | +
|
| 287 | +
|
| 288 | + // Case 7: multisig, owner == PROGRAM_ID, is_initialized = Ok(false) |
| 289 | + rule [inner-case7-spl]: |
| 290 | + <k> #validateOwnerResultSPL( |
| 291 | + OWNER_KEY, OWNER_KEY, |
| 292 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 293 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(0), ListItem(BoolVal(false))))), |
| 294 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(9), .List))), |
| 295 | + DEST, TARGET) |
| 296 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(9), .List)))) ~> #continueAt(TARGET) </k> |
| 297 | +
|
| 298 | + [priority(31)] |
| 299 | +
|
| 300 | +
|
| 301 | + // Cases 8-9: multisig initialized, signer-checking => Err(MissingRequiredSignature) |
| 302 | + // No requires condition — lower priority ensures cases 4-5 are tried first. |
| 303 | + // This fires only when 4-5 don't match (i.e., owner IS the program ID). |
| 304 | + rule [inner-case8-9-missing-sig-spl]: |
| 305 | + <k> #validateOwnerResultSPL( |
| 306 | + OWNER_KEY, OWNER_KEY, |
| 307 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 308 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(0), ListItem(BoolVal(true))))), |
| 309 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(7), .List))), |
| 310 | + DEST, TARGET) |
| 311 | + => #setLocalValue(DEST, Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(7), .List)))) ~> #continueAt(TARGET) </k> |
| 312 | + [priority(32)] |
| 313 | +
|
| 314 | + // Case 10: multisig initialized, enough signatures => Ok |
| 315 | + // No requires condition — same priority scheme as case 8-9. |
| 316 | + rule [inner-case10-ok-spl]: |
| 317 | + <k> #validateOwnerResultSPL( |
| 318 | + OWNER_KEY, OWNER_KEY, |
| 319 | + _IS_SIGNER, _OWNER_OF_ACCOUNT, _DATA, _TX_SIGNERS, |
| 320 | + Aggregate(variantIdx(1), ListItem(Aggregate(variantIdx(0), ListItem(BoolVal(true))))), |
| 321 | + Aggregate(variantIdx(0), _), |
| 322 | + DEST, TARGET) |
| 323 | + => #setLocalValue(DEST, Aggregate(variantIdx(0), ListItem(Aggregate(variantIdx(0), .List)))) ~> #continueAt(TARGET) </k> |
| 324 | + [priority(32)] |
| 325 | +
|
| 326 | +endmodule |
| 327 | +``` |
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