MATHEMATICAL VERIFIER · For assignment x := e: wp(x := e, Q)

Read the equation

This relation defines For assignment x : in the source section “MATHEMATICAL VERIFIER · For assignment x := e: wp(x := e, Q)”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read For assignment x : as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

        return result;
    }

private:
    std::string compute_wp(const std::string& code, const std::string& post) {
        // Simplified wp computation
        // For assignment x := e: wp(x := e, Q) = Q[e/x]
        // For sequence: wp(S1; S2, Q) = wp(S1, wp(S2, Q))
        // For conditional: wp(if B then S1 else S2, Q) = (B => wp(S1, Q)) ∧ (¬B => wp(S2, Q))

        return post;  // Simplified placeholder
    }

    bool implies(const std::string& p, const std::string& q) {
        // Simplified implication check
        // In practice, would use SMT solver
        return p.find(q) != std::string::npos || p == q;

For assignment x := e: wp(x := e, Q) = Q[e/x]

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