They hired me back as a contractor, and I was entitled to double-dip, so to speak, if that's what you want to call it. At the same point in time, however, if I were hired back as a full-time employee without a contract and was expected to in fact contribute to the pension plan, then I would have stopped getting my annuity from the company and started paying back in and adding more credit to my time.
Par contre, si j'avais voulu redevenir employé à temps plein, sans contrat, il m'aurait fallu cotiser au régime de pension, et à ce moment-là, j'aurais augmenté mes droits à pension, mais j'aurais cessé de toucher ma pension.