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Extending Linear Two-Variable Equalities with Coefficients #1466
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DrMichaelPetter
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precision
relational
Relational analyses (Apron, affeq, lin2var)
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May 15, 2024
sim642
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May 27, 2024
…cluster transformation with subst/inverse convenience functions
michael-schwarz
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LGTM!
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sim642
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CHANGES: * Remove unmaintained analyses: spec, file (goblint/analyzer#1281). * Add linear two-variable equalities analysis (goblint/analyzer#1297, goblint/analyzer#1412, goblint/analyzer#1466). * Add callstring, loopfree callstring and context gas analyses (goblint/analyzer#1038, goblint/analyzer#1340, goblint/analyzer#1379, goblint/analyzer#1427, goblint/analyzer#1439). * Add non-relational thread-modular value analyses with thread IDs (goblint/analyzer#1366, goblint/analyzer#1398, goblint/analyzer#1399). * Add NULL byte array domain (goblint/analyzer#1076). * Fix spurious overflow warnings from internal evaluations (goblint/analyzer#1406, goblint/analyzer#1411, goblint/analyzer#1511). * Refactor non-definite mutex handling to fix unsoundness (goblint/analyzer#1430, goblint/analyzer#1500, goblint/analyzer#1503, goblint/analyzer#1409). * Fix non-relational thread-modular value analysis unsoundness with ambiguous points-to sets (goblint/analyzer#1457, goblint/analyzer#1458). * Fix mutex type analysis unsoundness and enable it by default (goblint/analyzer#1414, goblint/analyzer#1416, goblint/analyzer#1510). * Add points-to set refinement on mutex path splitting (goblint/analyzer#1287, goblint/analyzer#1343, goblint/analyzer#1374, goblint/analyzer#1396, goblint/analyzer#1407). * Improve narrowing operators (goblint/analyzer#1502, goblint/analyzer#1540, goblint/analyzer#1543). * Extract automatic configuration tuning for soundness (goblint/analyzer#1369). * Fix many locations in witnesses (goblint/analyzer#1355, goblint/analyzer#1372, goblint/analyzer#1400, goblint/analyzer#1403). * Improve output readability (goblint/analyzer#1294, goblint/analyzer#1312, goblint/analyzer#1405, goblint/analyzer#1497). * Refactor logging (goblint/analyzer#1117). * Modernize all library function specifications (goblint/analyzer#1029, goblint/analyzer#688, goblint/analyzer#1174, goblint/analyzer#1289, goblint/analyzer#1447, goblint/analyzer#1487). * Remove OCaml 4.10, 4.11, 4.12 and 4.13 support (goblint/analyzer#1448).
avsm
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Sep 5, 2024
CHANGES: * Remove unmaintained analyses: spec, file (goblint/analyzer#1281). * Add linear two-variable equalities analysis (goblint/analyzer#1297, goblint/analyzer#1412, goblint/analyzer#1466). * Add callstring, loopfree callstring and context gas analyses (goblint/analyzer#1038, goblint/analyzer#1340, goblint/analyzer#1379, goblint/analyzer#1427, goblint/analyzer#1439). * Add non-relational thread-modular value analyses with thread IDs (goblint/analyzer#1366, goblint/analyzer#1398, goblint/analyzer#1399). * Add NULL byte array domain (goblint/analyzer#1076). * Fix spurious overflow warnings from internal evaluations (goblint/analyzer#1406, goblint/analyzer#1411, goblint/analyzer#1511). * Refactor non-definite mutex handling to fix unsoundness (goblint/analyzer#1430, goblint/analyzer#1500, goblint/analyzer#1503, goblint/analyzer#1409). * Fix non-relational thread-modular value analysis unsoundness with ambiguous points-to sets (goblint/analyzer#1457, goblint/analyzer#1458). * Fix mutex type analysis unsoundness and enable it by default (goblint/analyzer#1414, goblint/analyzer#1416, goblint/analyzer#1510). * Add points-to set refinement on mutex path splitting (goblint/analyzer#1287, goblint/analyzer#1343, goblint/analyzer#1374, goblint/analyzer#1396, goblint/analyzer#1407). * Improve narrowing operators (goblint/analyzer#1502, goblint/analyzer#1540, goblint/analyzer#1543). * Extract automatic configuration tuning for soundness (goblint/analyzer#1369). * Fix many locations in witnesses (goblint/analyzer#1355, goblint/analyzer#1372, goblint/analyzer#1400, goblint/analyzer#1403). * Improve output readability (goblint/analyzer#1294, goblint/analyzer#1312, goblint/analyzer#1405, goblint/analyzer#1497). * Refactor logging (goblint/analyzer#1117). * Modernize all library function specifications (goblint/analyzer#1029, goblint/analyzer#688, goblint/analyzer#1174, goblint/analyzer#1289, goblint/analyzer#1447, goblint/analyzer#1487). * Remove OCaml 4.10, 4.11, 4.12 and 4.13 support (goblint/analyzer#1448).
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PRs #1297 and #1412 brought an efficient implementation of conjunctions of basic linear two-variable equalities of the form
However, the same basic principle for the domain can be transferred to conjunctions of the form
with a minimal amount of additional runtime overhead. These kinds of equalities however promise to be a lot more useful for either directly proving invariants or refining e.g. intervals.
** Implementation **
We need to
linearTwoVarEqualitiesDomain
and exploit new capabilities