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feat: start of lift, debugging, cleanup

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Henri Saudubray 2025-06-23 10:06:01 +02:00
parent 883e5fff01
commit 589f89c768
Signed by: hms
GPG key ID: 7065F57ED8856128
31 changed files with 1297 additions and 51 deletions
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10
doc/notes.typ
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@ -335,7 +335,7 @@ composition breaks this:
line((-0.5, 0.5), (0, 0.5), mark: (end: "straight"))
line((1, 0.5), (2, 0.5), mark: (end: "straight"))
line((3, 0.5), (3.5, 0.5), mark: (end: "straight"))
}),
}),
$ M_i & : & a_1 & | & bot & |
\ M_o & : & b_1 & | & b_2 & |
\ N_i & : & b_1 & | & b_2 & |
@ -353,7 +353,7 @@ needed. This is done through the following composition:
line((-0.5, 0.5), (0, 0.5), mark: (end: "straight"))
line((1, 0.5), (2, 0.5), mark: (end: "straight"))
line((3, 0.5), (3.5, 0.5), mark: (end: "straight"))
}),
}),
$ I &: & a_1 & | & bot & | & bot & & & | & bot & | & bot & & & |
\ M_i &: & a_1 & | & & | & & | & bot & | & & | & & | & bot & |
\ M_o &: & b_1 & | & & | & & | & b_2 & | & & | & & | & bot & |
@ -620,11 +620,11 @@ simulation loop as follows:
models has much in common with code generation for synchronous languages.
])
In [Branicky, 1995b], dynamical systems are defined as follows:
In [Branicky, 1995b], dynamical systems are defined as follows:
#block(fill: rgb(230, 230, 230), stroke: black, inset: 5pt, [
A continuous (resp. discrete) dynamical system defined on the topological
space $X$ over the semigroup $bb(R)^+$ (resp. $bb(Z)^+$) is a function
space $X$ over the semigroup $bb(R)^+$ (resp. $bb(Z)^+$) is a function
$f : X times bb(R)^+ -> X$ (resp. $f : X times bb(Z)^+ -> X$) with the
following three properties:
1. initial condition: $f(p, 0) = p$,
@ -694,7 +694,7 @@ $f : S u p e r d e n s e(bb(V))$, $f(t, n) = f(t + n partial)$ in the
non-standard semantics.
Our representation instead uses
$S i g n a l(bb(V)) = S t r e a m((h : bb(R)) * ([0, h] -> bb(V)))$. Can we
$S i g n a l(bb(V)) = S t r e a m((h : bb(R)) * ([0, h] -> bb(V)))$. Can we
convert between the two as we want?
#breakl(```ocaml