update

templates/Prompt/Blocks-Research.md

@@ -8,9 +8,11 @@ Rules:
 - Granularity: a block is a LEARNING UNIT, not a dictionary entry. Families learned together (e.g. the font-* properties, the modal verbs) are ONE block.
 - Abstraction level (important): a block is self-contained — explainable WITHOUT presupposing ANOTHER block as its subject. These are problems, methods/algorithms, definitions, named theorems with their own statement. A detail that presupposes another concept belongs IN that concept's block (as a part), not as its own entry:
   - A PROPERTY of a concept belongs to the concept: „Clique" is a block; „Clique ist NP-vollständig", „Clique ∈ NP", „Laufzeit von Clique" are parts of it — not their own entry.
-  - A PROOF/reduction component belongs to the theorem/reduction: „A-Komponente", „Dummy-Item", „αEnde", „Hilfsvariable" — not its own entry.
+  - A PROOF/reduction component or a constructed HELPER OBJECT belongs to the theorem/reduction it serves: „A-Komponente", „Dummy-Item", „αEnde", „Hilfsvariable", helper functions/weightings, helper schedules, constructed graphs/tours/gadgets — not its own entry.
+  - A single COMPUTED instance or result value belongs to the argument that produced it: a specific number, graph, tour, or schedule built inside one example/proof („OPT(…) = n", a concrete constructed input) is not its own entry.
+  - PARAMETER INSTANCES of the SAME argument are ONE block: the identical technique applied to different parameters or cases („… via k / via n / via |E|", „für n=1 / n=2") is a single block, not one entry per parameter.
   - Pure NOTATION/symbols belong to their definition: „|x|", „Σ∗" — not their own entry.
-  - A standalone REDUCTION between two problems, however, is its own block („3-SAT ≤ Clique").
+  - A standalone REDUCTION between two problems, however, is its own block („3-SAT ≤ Clique"); likewise a named theorem that states its OWN result stays a block — named after the result, not the source numbering.
 - NO categories, NO ranking, NO ordering by importance — only a flat, numbered list.
 - Aim for the natural number of genuine learning units for this material — there is no hard quota, but do NOT split hairs to inflate the count (prefer the "families learned together = ONE block" rule above). STOP when the only remaining candidates are exercises, meta-questions, administrative notes, or duplicates of blocks you already listed.
 - **EXCLUDE non-content — these are NEVER learning blocks:** exercise/task/assignment scaffolding ("Aufgabe 3", "Bonusaufgabe", "Übung", "Blatt 11", point values), meta/assessment items ("welche der folgenden…", true/false prompts, hand-in / exam-date notes), administrative & boilerplate (headings, page/room/exam numbers, names, copyright), and any **file names, paths, or URLs** (those are provenance, recorded separately — never a block or part of one).