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Fix markup.
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maggesi authored Sep 27, 2024
1 parent 339a714 commit 0f7b7e7
Showing 1 changed file with 3 additions and 2 deletions.
5 changes: 3 additions & 2 deletions index.md
Original file line number Diff line number Diff line change
Expand Up @@ -222,6 +222,7 @@ Theorem of existence of the finite countermodel.
```
GL_COUNTERMODEL_FINITE_SETS
|- !p. ~[{} . {} |~ p] ==> ~holds_in (K_STDWORLDS p, K_STDREL p) p
```

#### In GL
Construction of the countermodels.
Expand Down Expand Up @@ -288,7 +289,7 @@ let GL_PA_undecidability_of_consistency = time GL_RULE
--> Not (Box (Not (Box False))) &&
Not (Box (Not (Not (Box False))))]`;;
```
#### Undecidability of Godels formula
#### Undecidability of Gödels formula
```
let GL_undecidability_of_Godels_formula = time GL_RULE
`!p. [GL_AX . {} |~ Box (p <-> Not (Box p)) && Not (Box (Box False))
Expand All @@ -311,7 +312,7 @@ let GL_Godel_sentence_equiconsistent_consistency = time GL_RULE
```

#### Arithmetical fixpoint
For any arithmetical senteces p q, p is equivalent to unprovability of q --> p iff p is equivalent to consistency of q.
For any arithmetical sentences p q, p is equivalent to unprovability of q --> p iff p is equivalent to consistency of q.
```
let GL_arithmetical_fixpoint = time GL_RULE
`!p q. [GL_AX . {} |~ Dotbox (p <-> Not (Box (q --> p))) <->
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