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structures: call finalization fix (wothout correctness requirements)

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ProgramSnail 2026-04-25 16:44:08 +00:00
parent eb90ba5449
commit 5a33161117
1 changed files with 56 additions and 35 deletions
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91
model_with_structures/model.typ
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@ -9,7 +9,7 @@
#h(10pt)
// TODO: check correctnes for path, mem & type ??
// TODO: check correctness for path, mem & type ??
== Syntax
@ -462,7 +462,7 @@ $ vals in envv, types in envt, space mu in mem, space m in mode,
rule(
name: [ new $0$ value],
$cl 0, mu cr xarrowSquiggly(cl r\, w cr)_new cl 0, mu cr$,
$cl 0, mu cr xarrowSquiggly(cl r \, w cr)_new cl 0, mu cr$,
)
))
@ -471,7 +471,7 @@ $ vals in envv, types in envt, space mu in mem, space m in mode,
rule(
name: [ new $\#$ value],
$cl \#, mu cr xarrowSquiggly(cl r\, w cr)_new cl \#, mu cr$,
$cl \#, mu cr xarrowSquiggly(cl r \, w cr)_new cl \#, mu cr$,
)
))
@ -480,7 +480,7 @@ $ vals in envv, types in envt, space mu in mem, space m in mode,
rule(
name: [ new $bot$ value],
$cl bot, mu cr xarrowSquiggly(cl r\, w cr)_new cl bot, mu cr$,
$cl bot, mu cr xarrowSquiggly(cl r \, w cr)_new cl bot, mu cr$,
)
))
@ -564,7 +564,6 @@ $ vals in envv, types in envt, space mu in mem, space m in mode,
rule(
name: [ modify tuple value],
$v in {0, \#, bot}$,
$cl v_i, mu cr xarrowSquiggly(cl p \, b cr)_modify cl v'_i, mu', cr$,
$cl [v_1, ... v_i, ... v_n], mu cr xarrowSquiggly(cl p.i \, b cr)_modify cl [v_1, ... v'_i, ... v_n], mu' cr$,
)
@ -675,24 +674,20 @@ $ vals in envv, types in envt, space mu in mem, space m in mode,
=== Call Finalization
// FIXME: make connected to syntax
*TODO*
#let spoil = `spoil`
// FIXME
*TODO: embed correctness*
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ spoil step],
$mu stretch(=>)^"args"_sigma gamma$,
$isPossibleWrite mode$, // NOTE: weak requirement: may write
$not isCopy mode$,
$mode = (\_, not Out)$,
$isCorrect_(cl sigma, mu cr) (mode, x)$,
// gamma - memory (as mu)
$gamma stretch(=>)^((mode, x) : "args")_sigma "pathenvval"(gamma, sigma, x) <- bot]$
$w = AlwaysWrite or w = MaybeWrite$,
// TODO: $isCorrect_(cl sigma, mu cr) (mode, x)$,
$v in {0, \#, bot}$,
$cl v, mu cr xarrowSquiggly(cl r \, w cr \, (\_, not Out) \, not Copy)_spoil cl bot, mu cr$,
)
))
@ -703,17 +698,10 @@ $ vals in envv, types in envt, space mu in mem, space m in mode,
rule(
name: [ fix step],
$mu stretch(=>)^"args"_sigma gamma$,
$isAlwaysWrite mode$, // NOTE: strong requirement: should write
$mode = (\_, not Out)$,
// NOTE: correctness looks like this
// $types, vals, mu, m, c tcorrect v : cl r', w' cr -> cl r, w cr$,
$isCorrect_(cl sigma, mu cr) (mode, x)$,
// gamma - memory (as mu)
$gamma stretch(=>)^((mode, x) : "args")_sigma "pathenvval"(gamma, sigma, x) <- 0]$
$w = AlwaysWrite$,
// TODO: $isCorrect_(cl sigma, mu cr) (mode, x)$,
$v in {0, \#, bot}$,
$cl v, mu cr xarrowSquiggly(cl r \, w cr \, (\_, Out) \, c)_spoil cl 0, mu cr$,
)
))
@ -724,18 +712,51 @@ $ vals in envv, types in envt, space mu in mem, space m in mode,
rule(
name: [ skip step],
$mu stretch(=>)^"args"_sigma gamma$,
$not "spoil step"$,
$not "fix step"$,
$isCorrect_(cl sigma, mu cr) (mode, x)$,
// mu
$gamma stretch(=>)^((mode, x) : "args")_sigma gamma$
// TODO: $isCorrect_(cl sigma, mu cr) (mode, x)$,
$v in {0, \#, bot}$,
$cl v, mu cr xarrowSquiggly(cl r \, w cr \, (\_, not Out) \, c)_spoil cl v, mu cr$,
)
))
#h(10pt)
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ lambda step],
$cl lambda, mu cr xarrowSquiggly(lambda overline(t) \, m \, c)_spoil cl lambda, mu cr$,
)
))
#h(10pt)
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ reference step],
$cl mu[l], mu cr xarrowSquiggly(t \, m \, c')_spoil cl v', mu' cr$,
$cl rf l, mu cr xarrowSquiggly(rf c' space t \, m \, c)_spoil cl rf l, mu'[l <- v'] cr$,
)
))
#h(10pt)
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ tuple step],
$cl v_1, mu cr xarrowSquiggly(t_1 \, m \, c)_spoil cl v'_1, mu cr$,
$...$,
$cl v_n, mu cr xarrowSquiggly(t_n \, m \, c)_spoil cl v'_n, mu cr$,
$cl [v_1, ... v_n], mu cr xarrowSquiggly([t_1, ... t_n] \, m \, c)_spoil cl [v'_1, ... v'_n], mu' cr$,
)
))
#h(10pt)