{"title": "R6: The host: a lawful HostSpec, receipt and application, DI-57's table-aware reference", "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, waits on a ruling (decisions row 97: the handle declarations, parked by the owner on 2026-09-30): admit_sound's value half: executable admission implies the ghost AnswerOk on success values (waits on decisions row 97's handle declarations)"}], [{"text": "Open, needs a definition (the host as a relation between the machine's calls and its answers (`HostSpec`), in place of a predicate on tapes): H related to the machine: M6's premise is a predicate on tapes (decisions row 95), not a host relation"}], [{"text": "Open, waits on a ruling (decisions rows 98 to 100: the typed replay route, when the guarantee is claimed, host resources): receipt and application on the keyed lifecycle, and their converse (host-boundary §4.5; decisions rows 98–100, parked by the owner, 2026-09-30)"}], [{"text": "Open, not triaged: a world extension meeting C5, a retirement edge, per-row cancellation, one root (DI-58, DI-65)"}], [{"text": "Open, after other work (the table-aware reference and the reply correspondence above; decisions row 99 says when it is claimed): the public typed guarantee for programs using host services (decisions row 99)"}], [{"text": "Open, worded as a proposed claim: expansion-keeps-call (proposed claim; host-session-protocol): the expansion of a program's layer references keeps a call at its address, so the instance that the session reads on the expanded program is the checker's answer at the call that ran; origin_addresses_call proves the address on the program itself, and a finite evaluation reads the instance (Test/Api/TypedReplies.lean) (decisions row 323)"}], [{"text": "Open, worded as a proposed claim: replay-at-call-instance (proposed claim; host-session-protocol): the checked replay of a tape (replayCheckedFrom, Api.replay) and the OCaml engine still admit a reply at the row's own columns alone, so a tape that a session recorded with an answer admitted at its call's instance is refused there (decisions row 323)"}]], "kind": "items"}, {"title": "Requirement R6: The host boundary", "kind": "part", "key": "about:req:R6", "body": [{"line": [{"text": "This page explains requirement R6 in Effect4. It covers what the requirement asks for external host interactions, why keyed host boundaries matter, and how the property is checked."}], "kind": "para"}, {"title": "What the requirement asks", "kind": "part", "key": "about:req:R6:what-it-asks", "body": [{"line": [{"text": "Requirement R6 demands that host interactions satisfy formal specifications and keyed session contracts ("}, {"code": "docs/core/system-map.md"}, {"text": " §8, "}, {"code": "docs/core/host-boundary.md"}, {"text": "):"}], "kind": "para"}, {"lines": [[{"text": "Host specification: external interactions follow a specification "}, {"code": "H : HostSpec"}, {"text": " satisfying "}, {"code": "LawfulHostSpec"}, {"text": "."}], [{"text": "Receipt and application: host answers submit through preflight checks and apply at most once."}], [{"text": "Envelope matching: replies correlate to waiting calls by matching version, session, call identifier, key, and row."}], [{"text": "Handle protection: internal handle kinds like cells and scopes are prohibited from crossing host boundaries (decisions row 97)."}]], "kind": "items"}, {"line": [{"text": "External replies must satisfy typing admission before resuming waiting fibers."}], "kind": "para"}]}, {"title": "Why it matters", "kind": "part", "key": "about:req:R6:why-it-matters", "body": [{"line": [{"text": "Asynchronous software interacts with untrusted external environments such as web APIs, database drivers, and operating system calls."}], "kind": "para"}, {"line": [{"text": "If host completions bypassed verification, malformed data or duplicated callbacks could corrupt internal memory or trigger invalid transitions."}], "kind": "para"}, {"line": [{"text": "A defined host boundary lets a host's replies meet the machine's invariants without assuming that the host makes progress."}], "kind": "para"}]}, {"title": "How it is checked", "kind": "part", "key": "about:req:R6:how-it-is-checked", "body": [{"line": [{"text": "The requirement is checked by proving reply admission, call correlation, and session agreement theorems:"}], "kind": "para"}, {"lines": [[{"text": "Admitted success preparation is stated by "}, {"code": "preflight_success_prepared_fits"}, {"text": " ("}, {"code": "src/Effect4/Laws/Api/HostSession.lean"}, {"text": ")."}], [{"text": "Defect-free failure admission is stated by "}, {"code": "preflight_failure_noShapeDefect"}, {"text": " in the same file."}], [{"text": "Call instance correlation is stated by "}, {"code": "instance_prepared_success"}, {"text": " ("}, {"code": "src/Effect4/Laws/Program/Admit.lean"}, {"text": ")."}], [{"text": "Session agreement with reference replay is stated by "}, {"code": "session_eq_ref"}, {"text": " ("}, {"code": "src/Effect4/Laws/Api/SessionRef.lean"}, {"text": ")."}], [{"text": "Host comodel meaning is stated by "}, {"code": "denoteRows_eq_session_host"}, {"text": " ("}, {"code": "src/Effect4/Laws/Api/SessionMeaning.lean"}, {"text": ")."}]], "kind": "items"}, {"line": [{"text": "The plan 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