Inference#
A very simple example of a Meson script (not the simplest possible, but close) is as follows:
A, so B.
and the graph produced by this first example looks like this:
In fact, the punctuation symbols ,;.
have no effect in Meson, and neither
does capitalisation of the keywords. This is so you can make a Meson script
look like it’s written in proper sentences, but the interpreter doesn’t care.
Punctuation is meaningless in Meson. So is capitalisation of Meson keywords (but not of node names). Punctuation and capitalisation should be used only to improve human readability.
If we omit punctuation then our first example looks even simpler:
A so B
Throughout this tutorial, you can try writing meson scripts yourself, which is the best way to learn. For a first go, try writing the “A, so B.” script:
The so
keyword belongs to the inf or “inference” keyword category
because, as the first example shows, it creates an inference from one node to
another, i.e. it creates a deduction arrow.
You can also chain several inferences together, like this:
A so B so C so D
Using the keyword so
alone you could create all the deduction arrows in
your proof, but this would be hard (unpleasant) for a human being to read.
Meson provides two ways to improve readability:
variation of word choice, and
variation of sentence structure.
To begin with, there are many words in the inf keyword category, so for example you could write:
A, so B, therefore C, hence D.
producing the very same graph:
In general, all keywords belonging to the same category in Meson are synonyms: they have the exact same effect.
so |
thus |
implies |
then |
get |
whence |
therefore |
infer |
whereupon |
hence |
find |
A few of these (like get
) only make sense to an English speaker when used
in combination with another keyword which we cover later (namely from
,
which belongs to the roam keyword category), but to the Meson interpreter
they are all the same.
You can also say that several things follow directly from A
:
A so B1 and B2 and B3
or that B
follows from several things used in conjunction:
A1 and A2 and A3 so B
Here we’ve used the keyword and
, which belongs to the conj or
“conjunction” class.
and |
plus |
In the next section we examine another keyword category which helps improve readability of Meson scripts by varying sentence structure.