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Update to new Bergamot version

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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
This commit is contained in:
Danila Fedorin
2024-09-15 10:33:40 -07:00
parent e4101f1396
commit dde7df4604
5 changed files with 63 additions and 8 deletions
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2
content/blog/00_types_intro.md
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@@ -171,7 +171,7 @@ to the tool than to type theory itself; I will denote these exercises as such wh
possible. Also, whenever the context of the exercise can be loaded into
Bergamot, I will denote this with a play button.
{{< bergamot_preset name="intro-preset" prompt="PromptConverter @ prompt(type(?term, ?t)) <- input(?term);" >}}
{{< bergamot_preset name="intro-preset" prompt="type(TERM, ?t)" >}}
TNumber @ type(lit(?n), number) <- num(?n);
TPlusI @ type(plus(?e_1, ?e_2), number) <-
type(?e_1, number), type(?e_2, number);

8
content/blog/01_types_basics.md
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@@ -114,7 +114,7 @@ Another consequence of this is that not everyone agrees on notation; according
to [this paper](https://labs.oracle.com/pls/apex/f?p=LABS:0::APPLICATION_PROCESS%3DGETDOC_INLINE:::DOC_ID:959),
27 different ways of writing down substitutions were observed in the POPL conference alone.
{{< bergamot_preset name="notation-preset" prompt="PromptConverter @ prompt(type(?term, ?t)) <- input(?term);" >}}
{{< bergamot_preset name="notation-preset" prompt="type(TERM, ?t)" >}}
TNumber @ type(lit(?n), number) <- num(?n);
{{< /bergamot_preset >}}
@@ -317,7 +317,7 @@ This rule is read as follows:
> If \(e_1\) and \(e_2\) have type \(\text{string}\), then \(e_1+e_2\) has type \(\text{string}\).
{{< bergamot_preset name="string-preset" prompt="PromptConverter @ prompt(type(?term, ?t)) <- input(?term);" query="\"hello\"+\"world\"">}}
{{< bergamot_preset name="string-preset" prompt="type(TERM, ?t)" query="\"hello\"+\"world\"">}}
TNumber @ type(lit(?n), number) <- num(?n);
TPlusI @ type(plus(?e_1, ?e_2), number) <-
type(?e_1, number), type(?e_2, number);
@@ -384,7 +384,7 @@ from the conversion rules. Chapter 15 of _Types and Programming Languages_
by Benjamin Pierce is a nice explanation, but the [Wikipedia page](https://en.wikipedia.org/wiki/Subtyping)
ain't bad, either.
{{< bergamot_preset name="conversion-preset" prompt="PromptConverter @ prompt(type(?term, ?t)) <- input(?term);" >}}
{{< bergamot_preset name="conversion-preset" prompt="type(TERM, ?t)" >}}
section "Conversion rules" {
ConvertsIS @ converts(integer, string) <-;
ConvertsIF @ converts(integer, float) <-;
@@ -564,7 +564,7 @@ and already be up-to-speed on a big chunk of the content.
| {{< latex >}}\frac{e_1 : \text{number}\quad e_2 : \text{number}}{e_1+e_2 : \text{number}} {{< /latex >}}| Adding numbers gives a number |
#### Playground
{{< bergamot_widget id="widget" query="" prompt="PromptConverter @ prompt(type(?term, ?t)) <- input(?term);" >}}
{{< bergamot_widget id="widget" query="" prompt="type(TERM, ?t)" >}}
section "" {
TNumber @ type(lit(?n), number) <- num(?n);
TString @ type(lit(?s), string) <- str(?s);

2
content/blog/bergamot/index.md
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@@ -261,7 +261,7 @@ It has two modes:
`type(empty, ?e, tpair(number, string))` to search for expressions that have
the type "a pair of a number and a string".
{{< bergamot_widget id="widget" query="" prompt="PromptConverter @ prompt(type(empty, ?term, ?t)) <- input(?term);" >}}
{{< bergamot_widget id="widget" query="" prompt="type(empty, TERM, ?t)" >}}
section "" {
TNumber @ type(?Gamma, lit(?n), number) <- num(?n);
TString @ type(?Gamma, lit(?s), string) <- str(?s);