proof/: add physics diagnostic/benchmark/pipelining coverage
StarForth_Physics_Diagnostic_Words.thy (physics_diagnostic_words.c): 3 of 4 words are pure-printf identity transitions; PHYSICS-BURN's guard modelled, its arbitrary dynamically-selected func-pointer execution loop is a new class of gap (not reducible to any prior one). StarForth_Physics_Benchmark_Words.thy (physics_benchmark_words.c): hot-words cache is a whole unmodelled subsystem. PHYSICS-RESET-STATS's pipeline_metrics half (3 real vm_state fields) modelled; everything else in the file deferred. StarForth_Physics_Pipelining_Diagnostic_Words.thy (physics_pipelining_diagnostic_words.c): root-cause finding -- `word_transition_metrics` has been a declared record type in StarForth_Base.thy since early in the sweep but was never wired into `dict_entry` as a field, so every word in this file touches state with zero abstract representation. Three no-arg words modelled as identity (with an explicit caveat that this reflects the model's blind spot, not a no-op claim about the C); the three lookup words get only their simplest empty-stack underflow case. Suite now 43 theories, green.
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Robert Allan James
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theory StarForth_Physics_Pipelining_Diagnostic_Words
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imports StarForth_Base
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begin
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(* =========================================================================
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Mirrors: src/word_source/physics_pipelining_diagnostic_words.c
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Registers (via vm_create_word directly, NOT register_word -- a
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different registration style from every other file in this sweep, note
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in case it ever matters for ACL/hot-words-cache interaction):
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PIPELINING-SHOW-STATS PIPELINING-SHOW-TOP-TRANSITIONS
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PIPELINING-RESET-ALL PIPELINING-ENABLE PIPELINING-STATS
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PIPELINING-ANALYZE-WORD
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── Root gap: `transition_metrics` was never wired into `dict_entry` ────
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Every word in this file reads or writes `entry->transition_metrics`, a
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`WordTransitionMetrics*` -- StarForth_Base.thy already declares a
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`word_transition_metrics` RECORD TYPE (Section 3, "Word transition
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metrics") matching the C struct field-for-field, but `dict_entry`
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(Section 3, "Dictionary entry") has no field of that type. This looks
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like an intentional scope decision when `dict_entry` was designed (the
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comment there only documents omitting a `func` pointer, not
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transition_metrics), not an oversight noticed until now -- this is the
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first file in the sweep that actually needs it. Consequence: NOTHING
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any of these six words reads or writes has a counterpart in the
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abstract model. This is a materially different situation from every
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other "not modelled" gap so far (raw pointers, parsing, name lookup) --
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the underlying DATA doesn't exist in dict_entry at all, only its type
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declaration does.
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── Scope ─────────────────────────────────────────────────────────────
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PIPELINING-RESET-ALL / -ENABLE / -STATS take no stack arguments and
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touch nothing that exists in vm_state (dictionary traversal via ->link
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is read-only and only reaches the unmodelled transition_metrics field;
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-ENABLE reads only a compile-time #if). Modelled as identity
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transitions -- but see the caveat lemma below: this identity is a
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modelling artifact of the gap above, not a claim that the real C words
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are no-ops.
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PIPELINING-SHOW-STATS / -ANALYZE-WORD (pop addr, len) and
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PIPELINING-SHOW-TOP-TRANSITIONS (pop addr, len, top_count) resolve a
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word by (address, length) via `vm_ptr` + `vm_find_word` -- the same
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raw-pointer name-resolution gap as physics_freeze_words.c -- then read
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transition_metrics (root gap above). Only the simplest underflow case
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(stack already empty before any pop) is modelled; the C's actual
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guard shape does a real `vm_pop` per argument with an error check
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between each, so on a single-element stack the first pop succeeds
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(consuming it) before the second pop discovers the now-empty stack and
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sets the error -- a genuine partial-pop-then-error path, noted but not
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mechanised per argument count here given how little of each word's
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downstream effect is modellable regardless.
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======================================================================== *)
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(* ── PIPELINING-RESET-ALL / -ENABLE / -STATS : identity (see caveat) ────── *)
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definition forth_pipelining_reset_all :: "vm_state \<Rightarrow> vm_state" where
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"forth_pipelining_reset_all vm = vm"
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definition forth_pipelining_enable :: "vm_state \<Rightarrow> vm_state" where
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"forth_pipelining_enable vm = vm"
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definition forth_pipelining_stats :: "vm_state \<Rightarrow> vm_state" where
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"forth_pipelining_stats vm = vm"
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lemma pipelining_reset_all_identity: "forth_pipelining_reset_all vm = vm"
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by (simp add: forth_pipelining_reset_all_def)
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lemma pipelining_enable_identity: "forth_pipelining_enable vm = vm"
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by (simp add: forth_pipelining_enable_def)
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lemma pipelining_stats_identity: "forth_pipelining_stats vm = vm"
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by (simp add: forth_pipelining_stats_def)
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lemma pipelining_identity_is_a_modelling_artifact: True
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\<comment> \<open>The three identities above hold ONLY because transition_metrics has
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no vm_state representation (see file header) -- PIPELINING-RESET-ALL
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genuinely mutates real C heap state (transition_metrics_reset on
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every instrumented word); this proof suite simply cannot see it.
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Not evidence of a no-op C implementation.\<close>
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by simp
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(* ── PIPELINING-SHOW-STATS / -ANALYZE-WORD ( addr len -- ) : empty-stack
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underflow only ─────────────────────────────────────────────────────── *)
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definition forth_pipelining_show_stats_empty_guard :: "vm_state \<Rightarrow> vm_state" where
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"forth_pipelining_show_stats_empty_guard vm =
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(if data_stack vm = [] then set_error vm else vm)"
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lemma pipelining_show_stats_empty_underflow:
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assumes "data_stack vm = []"
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shows "vm_error (forth_pipelining_show_stats_empty_guard vm)"
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by (simp add: forth_pipelining_show_stats_empty_guard_def set_error_def assms)
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definition forth_pipelining_analyze_word_empty_guard :: "vm_state \<Rightarrow> vm_state" where
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"forth_pipelining_analyze_word_empty_guard vm =
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(if data_stack vm = [] then set_error vm else vm)"
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lemma pipelining_analyze_word_empty_underflow:
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assumes "data_stack vm = []"
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shows "vm_error (forth_pipelining_analyze_word_empty_guard vm)"
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by (simp add: forth_pipelining_analyze_word_empty_guard_def set_error_def assms)
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(* ── PIPELINING-SHOW-TOP-TRANSITIONS ( addr len top_count -- ) : empty-
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stack underflow only ───────────────────────────────────────────────── *)
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definition forth_pipelining_show_top_transitions_empty_guard :: "vm_state \<Rightarrow> vm_state" where
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"forth_pipelining_show_top_transitions_empty_guard vm =
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(if data_stack vm = [] then set_error vm else vm)"
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lemma pipelining_show_top_transitions_empty_underflow:
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assumes "data_stack vm = []"
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shows "vm_error (forth_pipelining_show_top_transitions_empty_guard vm)"
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by (simp add: forth_pipelining_show_top_transitions_empty_guard_def set_error_def assms)
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lemma pipelining_lookup_words_rest_not_modelled: True
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\<comment> \<open>Beyond the empty-stack case: partial-pop-then-error on a too-short
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nonempty stack (see file header), vm_ptr/vm_find_word name resolution
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(physics_freeze_words.c-class gap), and all transition_metrics reads
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(root gap) -- none modelled.\<close>
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by simp
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end
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