Proof of Consistency Expansion (First Order Logic - Completeness)
Nobody has claimed this yet.
Assessment
- Difficulty
- 3/5
- Estimated time
- 1-2 days
- Newbie friendliness
- 45/100
- Issue type
- Documentation
- Clarity
- Mostly clear
- Activity status
- Stale
- Tech stack
- latex
- Domain
- content, documentation
Research direction
Open content/first-order-logic/completeness/henkin-expansions.tex and read the surrounding completeness material and the proposition about adding a denumerable set of constants. Determine whether the intended resolution is a proof or an exercise, then update the proposition accordingly and verify that the surrounding LaTeX remains consistent.
Written by the indexing model from the issue text.
Description
In content/first-order-logic/completeness/henkin-expansions.tex, there is a proposition:
If $\Gamma$ is consistent in $\Lang L$ and $\Lang L'$ is obtained from
$\Lang L$ by adding !!a{denumerable} set of new !!{constant}s $\Obj d_0$,
$\Obj d_1$, \dots, then $\Gamma$ is consistent in~$\Lang L'$.
which doesn't have a proof. I think it should, although perhaps it could be an exercise (doesn't seem like it should be a very involved proof though).
- Dominant language
- TeX
- Stars
- 1.4k
- Forks
- 289
- PR merge metrics
- No merged PRs in 30d
Getting set up
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First steps
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