Description
Check an asymmetry counterexample from two explicit proper-part relation values.
A logical calculation operates on a stated representation: truth values, token lists, counts, or an explicitly supplied relation. Checking one assignment, pair, trace, or witness is different from proving a formula or validating an entire argument. Empty domains, duplicate tokens, and scope conventions can change the result.
Check an asymmetry counterexample from two explicit proper-part relation values.
When to use this tool
Use Mereology Proper Part Asymmetry Witness when you need this exact local truth, count, token, relation, or witness check within a larger logic workflow.
How to use the tool and how it works
- Enter firstProperPartOfSecond, secondProperPartOfFirst. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read violation. Inspect violation before interpreting the associated values.
Return violation when firstProperPartOfSecond and secondProperPartOfFirst are both true.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstProperPartOfSecond | First Proper Part Of Second | Required. Boolean. |
| secondProperPartOfFirst | Second Proper Part Of First | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| violation | Violation | Required. Boolean. |
{
"input": {
"firstProperPartOfSecond": true,
"secondProperPartOfFirst": true
},
"output": {
"violation": true
}
}Limitations and assumptions
- This detects one supplied two-way proper-part witness. False does not establish asymmetry over an entire relation, irreflexivity, transitivity, or a valid mereology.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
Alternative or Complementary methods
Use a parser, scope-aware representation, model checker, or proof procedure when the supplied token or witness representation is insufficient. A local passing check should not be promoted to global validity.
References
Similar or alternative tools
- Alpha Equivalence Bound Variable Pair
Compare flat single-binder token bodies, rejecting potential free-variable capture; nested binders are outside this model.
- Argument Assumption Scope Depth
Audit explicit opening/closing assumption-scope actions without evaluating argument validity.