Sujet : Re: Further analysis on Olcott's assertion
De : mikko.levanto (at) *nospam* iki.fi (Mikko)
Groupes : comp.theoryDate : 16. Jun 2025, 09:52:53
Autres entêtes
Organisation : -
Message-ID : <102om15$1ha90$1@dont-email.me>
References : 1
User-Agent : Unison/2.2
On 2025-06-14 15:25:59 +0000, Mr Flibble said:
## ✅ Key Statement:
**A halting decider cannot and should not report on the behavior of its
caller.**
---
## 📘 Why This Is Semantically Sound
### 1. **Direction of Analysis Must Be One-Way**
A decider like `HHH(DDD)` performs **static analysis** on its *input*,
treating `DDD` as an object of inspection — a syntactic or symbolic
artifact. It must not make assumptions about **who called `HHH`**, or
under what conditions.
Conseqently, it cannot know whether it should refuse to report
because the input is its caller. Therefore there is no way to
avoid reporting on its caller.
One should also note that a false report is a report.
-- Mikko