cell_t is a 64-bit signed C long; the formal model previously used unbounded HOL int, hiding wraparound and signed/unsigned distinctions entirely. Switches cell to "64 word" throughout and fixes every proof site that assumed int semantics: - StarForth_Base.thy: cell_safe/cell_abs/cell_sdiv/cell_smod plus the sint-bridging lemmas used across the suite - StarForth_Loop1_Heat.thy, StarForth_Loop3_Decay.thy: heat tracking converted to signed word comparisons (<s/\<le>s) - StarForth_Stack_Words.thy: PICK/ROLL against real C ground truth - StarForth_Arithmetic_Words.thy: ABS/MIN/MAX/div/mod rebuilt on signed word semantics (cell_sdiv/cell_smod match C99 truncating division; 2/ uses signed_drop_bit to match "n >> 1"); documents a genuine ABS(INT64_MIN) wraparound hazard mirroring the real C behavior - StarForth_Memory_Words.thy: @/!/C@/C! address checks converted to the signed order All 23 theory files verify with zero errors, including StarForth_Concurrent and StarForth_Correctness. Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
proof/
Isabelle/HOL theory files providing machine-checkable proofs of determinism and correctness for StarForth. 24 theory files covering all 7 feedback loops, core word categories, and the word-level ACL system.
Running proofs
isabelle build -D proof/
Requires an Isabelle installation. See docs/01-getting-started/DEVELOPER.md.
Theory files
Foundations
| File | Covers |
|---|---|
StarForth_Base.thy |
Base definitions and type system |
StarForth_Correctness.thy |
Overall correctness |
StarForth_Transition.thy |
State transitions |
StarForth_Concurrent.thy |
Concurrency properties |
StarForth_Mutex.thy |
Mutual exclusion |
Physics loops (1–7)
| File | Loop |
|---|---|
StarForth_Loop1_Heat.thy |
Execution heat tracking |
StarForth_Loop2_Window.thy |
Rolling window of truth |
StarForth_Loop3_Decay.thy |
Linear decay |
StarForth_Loop4_Pipeline.thy |
Word transition prediction |
StarForth_Loop5_WinInf.thy |
Window width inference |
StarForth_Loop6_DecayInf.thy |
Decay slope inference |
StarForth_Loop7_Heartrate.thy |
Adaptive heartrate |
Word categories
StarForth_Arithmetic_Words.thy, StarForth_Stack_Words.thy,
StarForth_Logical_Words.thy, StarForth_Memory_Words.thy,
StarForth_Return_Stack_Words.thy, StarForth_Q48_16.thy
ACL system (Phase 6)
| File | Property |
|---|---|
ACL_Pin_Monotone.thy |
Pin is one-way |
ACL_Inherit_Clears_Pin.thy |
Inheritance clears pin |
ACL_TTL_Bounded.thy |
TTL stays within bounds |
ACL_Emergency_Bypass.thy |
Emergency console bypass |
ACL_No_Escalation.thy |
No privilege escalation |
See also
ROOT— Isabelle project manifest- Project root