{"title": "R4: State: the world types every cell at any type, with rows as templates", "producer": ["GENERATED by tools/Drivers/Semantics.lean (make gen-semantics); do not edit", "format: effect4-semantics-report v8", "command: make gen-semantics", "inputs: tools/ProofGraph/Registry.lean, tools/Tools/Semantics.lean, tools/Drivers/Semantics.lean, tools/Tools/SemanticsDisplay.lean, tools/Tools/SemanticsDocument.lean, tools/Tools/Document.lean, tools/Tools/Document/Json.lean, src/Effect4/Laws/Auto/Semantics.lean, Test/Counterexamples/REGISTER.md, docs/core/decisions.md, lean-toolchain"], "format": "effect4-document/1", "body": [{"lines": [[{"text": "Open, worded as a proposed claim: pool-profile-preserved (proposed claim; store-typing): along a run of the public operations the cell stays a member of its type and its state stays in the first profile; the model's half is profile_closed on six transitions; the cell's half is the seven typing statements of the cell and of the steps with step_keeps_cell, and each attempt statement of the operations gives the membership of the reply and of the stored value from the membership of the cell before the step; the operations are typed at every scope (use_types, make_types, close_answers), and make's type requires the scope; no statement says that a client writes the cell by the operations alone, none keeps the table injective along a run, and no goal states the run-level claim (decisions rows 267 to 269, 276)"}], [{"text": "Open, not triaged: the faces of Ref and Deferred, the type arguments' part: landed in the state plan's T5 for a binder term and for Deferred.make: a read-modify-write row's binder term is printed as a function of the cell's current value and read back (part A: printPerform, readPerform); Deferred.make() is printed from the operation's own type arguments and read back at every instance whose types are readable (part B: Signature.typeArgsOf and withTypeArgs, printCall, readCall, LawfulTypeArgs; Classes.readTyChecked on Classes.ReadableTy), a bare Deferred.make() is refused by its spelling and never typed at a default, the native row declares no type argument of its own, and an operation's type arguments are program annotations (ScopedOp.typeArgs: raw formation, the integer scan and the module's class table read them; decisions row 212); read_print and read_exact keep their statements; open: Ref.make, which needs an appended constructor (decisions rows 210 and 212); a type argument outside the readable types (a handle type, unknown, a class name: printed where it has a printed form, and refused at reading; int and number: read at nat); a list fold's stated accumulator type, which is printed and not read; and the instance's row in the other estates: the TypeScript profile and the OCaml metadata list Deferred.make once, at the face's instance, so a consumer that needs an instance's answer column derives it from the operation"}], [{"text": "Open, not triaged: the target half of handle-identity-laws (decisions row 229): the identity correspondence in each target's relation, in both directions: two handles have equal keys exactly when their host objects are one object; no goal states it, and the laws over Fits and the world's order are handle_identity_laws"}], [{"text": "Open, worded as a proposed claim: semaphore-accounting-preserved (proposed claim; store-typing): along a run of the public operations the cell stays a member of its type and its state stays in the first profile; the model's half is profile_closed; the cell's half is the six typing statements of the steps with step_keeps_cell, and each attempt statement of the operations gives the membership of the reply and of the stored value from the membership of the cell before the step; no statement gives that first membership from the handles that the table names, and no goal states the run-level claim (decisions rows 260, 261, 265, 276)"}], [{"text": "Open, worded as a proposed claim: atomic-attempt-isolation (proposed claim; store-typing and reactive-scheduling): an admitted atomic body's ordered dynamic reads and writes, the exact state that a failure or a retry restores, and no step of another fiber between its first access and its commit (decisions rows 80, 223; waits on the body profile's grammar and on row 226's budget or suspension)"}], [{"text": "Open, not triaged: the second half of scoped-body-substitution-boundary (residual-program-typing): for a later constructor that does bind a scope, the code after the scope runs only after it, and substitution neither captures it nor copies it into a child body (decisions rows 225, 227); no goal states it: the mask adds no scoped constructor, and its restore node's half is scoped_body_substitution_boundary"}]], "kind": "items"}, {"title": "Requirement R4: Stateful memory and row templates", "kind": "part", "key": "about:req:R4", "body": [{"line": [{"text": "This page explains requirement R4 in Effect4. It covers what the requirement asks for mutable cells and row templates, why stateful typing matters, and how the property is checked."}], "kind": "para"}, {"title": "What the requirement asks", "kind": "part", "key": "about:req:R4:what-it-asks", "body": [{"line": [{"text": "Requirement R4 demands that the typed world supports mutable cells at arbitrary types and models operation rows as templates ("}, {"code": "docs/core/system-map.md"}, {"text": " §8):"}], "kind": "para"}, {"lines": [[{"text": "World typing: "}, {"code": "World"}, {"text": " explicitly tracks types for cells ("}, {"code": "w.Ρ"}, {"text": "), deferred promises ("}, {"code": "w.Π"}, {"text": "), fibers ("}, {"code": "w.Γ"}, {"text": "), and tokens ("}, {"code": "w.Θ"}, {"text": ")."}], [{"text": "Row templates: operation rows act as templates whose type parameters instantiate via match by bounds."}], [{"text": "Binder terms: function rows take first-order binder terms that map cell types under environment extensions."}]], "kind": "items"}, {"line": [{"text": "Allocating a fresh cell or promise must extend the world monotonically without invalidating earlier allocations."}], "kind": "para"}]}, {"title": "Why it matters", "kind": "part", "key": "about:req:R4:why-it-matters", "body": [{"line": [{"text": "Concurrent programs coordinate across fibers using shared mutable state, asynchronous promises, and synchronized queues."}], "kind": "para"}, {"line": [{"text": "If stateful references supported only primitive numbers or hard-coded payload types, applications could not manage complex state."}], "kind": "para"}, {"line": [{"text": "Matching row templates by bounds lets a generic operation take its type arguments from the program, before the run."}], "kind": "para"}]}, {"title": "How it is checked", "kind": "part", "key": "about:req:R4:how-it-is-checked", "body": [{"line": [{"text": "The requirement is checked by proving world extension, template matching, and step typing theorems:"}], "kind": "para"}, {"lines": [[{"text": "World order reflexivity and transitivity are stated in "}, {"code": "src/Effect4/Laws/Program/Typed/World.lean"}, {"text": "."}], [{"text": "Allocation monotonicity is stated by "}, {"code": "refMake_extension"}, {"text": " and "}, {"code": "deferredMake_extension"}, {"text": " in the same file."}], [{"text": "Totality of template matching by bounds is stated by "}, {"code": "Bounds.matchB_complete"}, {"text": " ("}, {"code": "src/Effect4/Laws/Program/Bounds.lean"}, {"text": ")."}], [{"text": "Atomic update typing is stated by "}, {"code": "fold_typed_atomic_update"}, {"text": " ("}, {"code": "src/Effect4/Laws/Program/Typed/ListFold.lean"}, {"text": ")."}]], "kind": "items"}, {"line": [{"text": "The plan on this page gives each theorem's status and the goals it rests on."}], "kind": "para"}]}]}, {"nodes": [{"status": "modulo", "label": "atomic", "key": "Test.Dogfood.Scenario.Atomic.atomic", "detail": ""}, {"status": "modulo", "label": "committed", "key": "Test.Dogfood.Scenario.Atomic.committed", "detail": ""}, {"status": "modulo", "label": "counted", "key": "Test.Dogfood.Scenario.Atomic.counted", "detail": ""}, {"status": "goal", "ref": "open:Test.Dogfood.Scenario.Atomic.Store.shop_stages", "label": "shop_stages", "key": "Test.Dogfood.Scenario.Atomic.Store.shop_stages", "detail": ""}, {"status": "modulo", "label": "cleans_once", "key": "Test.Dogfood.Scenario.Atomic.cleans_once", "detail": ""}, {"status": "goal", "ref": "open:Test.Dogfood.Scenario.Atomic.Cleanup.log_debits", "label": "log_debits", "key": "Test.Dogfood.Scenario.Atomic.Cleanup.log_debits", "detail": ""}], "kind": "graph", "key": "fig:open:R4", "edges": [["Test.Dogfood.Scenario.Atomic.atomic", "Test.Dogfood.Scenario.Atomic.cleans_once"], ["Test.Dogfood.Scenario.Atomic.atomic", "Test.Dogfood.Scenario.Atomic.committed"], ["Test.Dogfood.Scenario.Atomic.atomic", "Test.Dogfood.Scenario.Atomic.counted"], ["Test.Dogfood.Scenario.Atomic.committed", "Test.Dogfood.Scenario.Atomic.Store.shop_stages"], ["Test.Dogfood.Scenario.Atomic.counted", "Test.Dogfood.Scenario.Atomic.Store.shop_stages"], ["Test.Dogfood.Scenario.Atomic.cleans_once", "Test.Dogfood.Scenario.Atomic.Cleanup.log_debits"]], "caption": "The open part of R4: its planned goals and the theorems proved modulo them. 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