Files
LithosAnanake/proof/StarForth_Framebuffer_Words.thy
T
Robert Allan JamesandClaude Sonnet 5 dfdabcc2d7 word_source: repair DECAY-RATE@ overflow guard and remove dead shadowed registrations
DECAY-RATE@ (physics_freeze_words.c) pushed to the data stack with no
capacity check and no prior pop to make room, unlike its neighbors in
the same file -- the one live, unconditional missing-guard bug the
Isabelle sweep's ~15 candidate findings reduced to once checked against
vm_push()'s real internal bounds check (see proof/FINDINGS.md SS2).

Removed dictionary_manipulation_words.c's [ ] STATE and defining_words.c's
DEFER IS DEFER@ (plus the now-orphaned defining_runtime_defer helper) --
all confirmed permanently shadowed by later dictionary registrations
(defining_words.c and defer_words.c respectively), per FORTH's
newest-first lookup. No behavior change: the removed code was already
unreachable.

Verified: hosted `make` builds clean under -Wall -Werror; the hosted
self-test suite passes 965/965 implemented tests with no regressions.
Three-architecture QEMU acceptance boot, all clean to ok> with an
identical dict_hash=0x24b4279f0670aa3a across amd64/aarch64/riscv64 and
identical 1003/965/0/0 test totals -- logs attached.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
2026-08-14 21:33:17 -04:00

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theory StarForth_Framebuffer_Words
imports StarForth_Base
begin
(* =========================================================================
Mirrors: src/word_source/framebuffer_words.c
Registers: PLOT FB-WIDTH FB-HEIGHT
Part of the Stadium console fabric work (FABRIC.md item 4.3.3). All
three words are registered UNCONDITIONALLY in both hosted and kernel
builds, but their bodies are `#ifdef __STARKERNEL__`-gated: the kernel
branch calls real framebuffer hardware functions (fb_put_pixel/
fb_width/fb_height), the hosted branch is a fixed fallback with no
hardware dependency at all.
── Scope ─────────────────────────────────────────────────────────────
The HOSTED build's behaviour is fully modelled -- it is deterministic
and has no hardware dependency (this repo's `make` still produces a
plain hosted binary per CLAUDE.md, so this is a real, reachable build
configuration, not a hypothetical). The KERNEL build's behaviour is not
modelled: fb_put_pixel/fb_width/fb_height are raw hardware framebuffer
accessors with no vm_state counterpart, the same class of gap as every
other hardware-boundary word in this console-fabric group.
── CORRECTED finding: FB-WIDTH/FB-HEIGHT are NOT missing a guard ───────
Both push via C's `vm_push()` (src/stack_management.c:75), which bounds-
checks internally (`if (vm->dsp >= STACK_SIZE - 1) ...`) before every
write -- this file's earlier claim that neither checks capacity was a
gap in this theory's abstract push model, not a real defect in the C.
Re-verified 2026-08-14 during the sweep's repair pass; see
proof/FINDINGS.md §2 for the full correction across all files this
pattern was raised against.
======================================================================== *)
(* ── PLOT ( x y color -- ) : hosted build ─────────────────────────────── *)
(* C: guard `vm->dsp < 2` (need 3 elements); hosted branch discards all
three popped values with no further effect. *)
definition forth_plot_hosted :: "vm_state \<Rightarrow> vm_state" where
"forth_plot_hosted vm =
(case data_stack vm of
color # y # x # xs \<Rightarrow> vm\<lparr>data_stack := xs\<rparr>
| _ \<Rightarrow> set_error vm)"
lemma plot_hosted_underflow_nil:
assumes "data_stack vm = []"
shows "vm_error (forth_plot_hosted vm)"
by (simp add: forth_plot_hosted_def set_error_def assms)
lemma plot_hosted_underflow_one:
assumes "data_stack vm = [a]"
shows "vm_error (forth_plot_hosted vm)"
by (simp add: forth_plot_hosted_def set_error_def assms)
lemma plot_hosted_underflow_two:
assumes "data_stack vm = [a, b]"
shows "vm_error (forth_plot_hosted vm)"
by (simp add: forth_plot_hosted_def set_error_def assms)
lemma plot_hosted_normal:
assumes "data_stack vm = color # y # x # xs"
shows "forth_plot_hosted vm = vm\<lparr>data_stack := xs\<rparr>"
by (simp add: forth_plot_hosted_def assms)
lemma plot_kernel_not_modelled: True
\<comment> \<open>Kernel build: fb_put_pixel((uint32_t)x, (uint32_t)y, (uint32_t)color)
-- raw hardware framebuffer write, no vm_state counterpart.\<close>
by simp
(* ── FB-WIDTH / FB-HEIGHT ( -- n ) : hosted build ─────────────────────── *)
(* C: hosted branch pushes 0 via vm_push(), which bounds-checks internally
(see corrected header finding above) -- the abstract push below still
models an unconditional push since this theory's stack has no depth
bound to violate, but the real C is guarded. *)
definition forth_fb_width_hosted :: "vm_state \<Rightarrow> vm_state" where
"forth_fb_width_hosted vm = vm\<lparr>data_stack := 0 # data_stack vm\<rparr>"
definition forth_fb_height_hosted :: "vm_state \<Rightarrow> vm_state" where
"forth_fb_height_hosted vm = vm\<lparr>data_stack := 0 # data_stack vm\<rparr>"
lemma fb_width_hosted_pushes_zero:
"data_stack (forth_fb_width_hosted vm) = 0 # data_stack vm"
by (simp add: forth_fb_width_hosted_def)
lemma fb_height_hosted_pushes_zero:
"data_stack (forth_fb_height_hosted vm) = 0 # data_stack vm"
by (simp add: forth_fb_height_hosted_def)
lemma fb_width_hosted_no_overflow_guard: True
\<comment> \<open>See file header finding -- unconditional push, no ds_full check,
modelled faithfully.\<close>
by simp
lemma fb_dimensions_kernel_not_modelled: True
\<comment> \<open>Kernel build: fb_width()/fb_height() query real hardware/firmware
framebuffer geometry -- no vm_state counterpart.\<close>
by simp
end