Read the equation
Select a candidate program that minimizes residual bug loss plus a weighted cost of changing the original program. The displayed compile, type, test and safety predicates restrict which candidates are eligible. The objective balances two costs; it does not by itself prove that the globally smallest correct repair has been found.
Its role in the build
The Megamind Equation Atlas
Terms & definitions
| Term | Meaning in this source |
|---|---|
| P | original program |
| P′ | candidate repaired program |
| P* | selected minimizer among eligible candidates |
| D | diagnostics, logs, errors or tests |
| B(P′, D) | bug or residual error loss |
| C(P′ − P) | change cost |
| λ | restraint weight |
How it works
Read P* as the quantity being defined or updated by this relation.
Chooses an argument minimizing the displayed objective over the stated feasible set.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
B, C, the candidate set and every feasibility predicate must be implemented before the minimization can be evaluated. A passing finite test suite is evidence about those tests, not a proof of all possible behaviors.
Original context
Read the surrounding source passage
The Megamind Equation Atlas: Select a candidate program that minimizes residual bug loss plus a weighted cost of changing the original program. The displayed compile, type, test and safety predicates restrict which candidates are eligible. The objective balances two costs; it does not by itself prove that the globally smallest correct repair has been found. The Rhiannon Equation: Select a candidate program that minimizes residual bug loss plus a weighted cost of changing the original program. The displayed compile, type, test and safety predicates restrict which candidates are eligible. The objective balances two costs; it does not by itself prove that the globally smallest correct repair has been found.
Exact original notation
P* = argmin_{P′} [ B(P′, D) + λ C(P′ − P) ]Related builds
Sources & provenance
P* = argmin_{P′} [ B(P′, D) + λ C(P′ − P) ]
P* = argmin_{P′} [ B(P′, D) + λ C(P′ − P) ]