Planplan
The requirements and their nodes. A node is a planned goal (a theorem whose body is sorry, declared by proof_goal) or a theorem a requirement names. Its status is derived from its proof, with goals as leaves (tools/ProofGraph/Plan., decisions row 203). The status is goal, modulo (proved from the goals it rests on), or proved. An edge goes from a node to the nodes its proof reaches first.
A requirement's nodes are its top nodes, named by the registry, and the declarations placed at it (@[semantics "concept" (requirement := Rn)], decisions row 207). A requirement is proved when every node is proved and no open part remains. An open part is one not yet stated as a goal.
| Requirement | Status | Top nodes | Placed nodes | Next goals |
|---|---|---|---|---|
| R1 | open | check_sound (proved), check_complete (proved), admitSig_ok_iff (proved), meaning_typed_app (proved), run_typed_app (proved), meaningB_typed_app (proved), reachable_typed_admitted (modulo) | checkModule_complete (proved), checkModule_sound (proved), invoke_hasTy (proved) | countdown_parks_positional |
| R2 | open | check_ext (proved), check_restrict (proved), lawful_append (proved), meaningUnder_append (proved) | denoteRowsB_looped (proved), denoteRowsB_straight (proved), checkModule_conservative (proved), checkModule_eq_check (proved), defs_conservative (proved), moduleHasTy_ext (proved), typeOfProgram_ext (proved) | — |
| R3 | open | checkInput_eq_none_iff (proved), fits_normalize (proved), fits_subN (proved), inhabited_iff_fits (proved), hom_eq_cata_ty (proved), decode_iff (proved), ofSchema_exact (proved), readTerm_printTerm (proved), type_metadata_exact (proved), errOf_valOfErr (proved) | admitModule_classDecls (proved), errOf_ne_boom_of_supported (proved), errOf_payload (proved), isPayload_of_hasTy_record (proved), frame_laws (proved), member (proved), codec_roundtrip (proved) | — |
| R4 | open | order_refl (proved), order_trans (proved), refMake_extension (proved), deferredMake_extension (proved), memoBuild_extension (proved), fold_typed_atomic_update (proved), handle_identity_laws (proved), saved_mask_image_membership (proved), scoped_body_substitution_boundary (proved) | awaitStep_types (proved), Latch. (proved), flushStep_types (proved), initialStep_types (proved), isOpenStep_types (proved), wakeStep_types (proved), Latch. (proved), image_agrees (proved), afterExit_first (proved), typed (proved), ascribe_untyped (proved), step_keeps_cell (proved), types_ascribe (proved), available_types (proved), PartitionedSemaphore. (proved), reserve_types (proved), tryTake_types (proved), Pool. (proved), drainStep_types (proved), Model. (proved), leaseStep_types (proved), lease_enrols_iff (proved), Pool. (proved), returnStep_types (proved), selectStep_types (proved), Pool. (proved), close_answers (proved), Pool. (proved), use_types (proved), ascribe_scoped (proved), args (proved), head (proved), above_args (proved), above_prod (proved), admits_normalize (proved), below_args (proved), candsFields_eq (proved), candsItems_eq (proved), candsList_below (proved), candsList_cons (proved), candsList_nil (proved), cands_args (proved), cands_below (proved), cands_mem_members (proved), cands_union_right (proved), cands_var (proved), comp_co (proved), comp_inv (proved), comp_ne_contra (proved), covers (proved), instance_shape (proved), instantiate_solve (proved), joinCands_least (proved), joinCands_upper (proved), join_eq_left_of_subN (proved), join_eq_right_of_subN (proved), lookup_added (proved), lookup_solve_seed (proved), lowers_cons (proved), matchArgsB_append (proved), matchArgsB_complete (proved), matchArgsB_cons_nil (proved), matchArgsB_ite (proved), matchArgsB_least (proved), matchArgsB_list_var_nat (proved), matchArgsB_one_var (proved), matchArgsB_sound (proved), matchArgsB_two_vars (proved), matchArgsN_complete (proved), matchArgsN_least (proved), matchB_cell_fixed (proved), matchB_complete (proved), matchB_least (proved), matchB_modify_use (proved), matchB_one_var (proved), matchB_refOf_var (proved), matchB_sound (proved), matchN_congr (proved), mem_lowers (proved), mem_varsOf_args (proved), mem_zip_map_right (proved), mem_zip_self_map (proved), noAppFields_eq_all (proved), noAppItems_eq_all (proved), noApp_args (proved), prod_left_cands (proved), prod_member_left (proved), prod_member_right (proved), prod_or_not (proved), prod_right_cands (proved), recovers (proved), solve_between (proved), subN_join_least (proved), subN_never (proved), templateOK_of (proved), loop_sync_op (proved), native_sync_answer (proved), native_sync_op (proved), perform_scoped_iff (proved), heap_sites_keep (proved), withParams_defOf (proved), withParams_of_none (proved), withParams_param (proved), withParams_serviceTy (proved), admitted_heap_history (proved), mono (proved), fold_typed_atomic_update (proved), handle_identity_laws (proved), invoke_arm (proved), param_arm (proved), saved_mask_image_membership (proved), scopeParams_ref (proved), scoped_body_substitution_boundary (proved), syncRow_typed (proved), termMaps_of_typed (proved), scopeParams_below (proved), scopeParams_body (proved), scopeParams_child (proved), scopeParams_decl (proved), scopeParams_layer_below (proved), PubSub. (proved), PubSub. (proved), slide_types (proved), subscribe_types (proved), tryPublish_types (proved), unsubscribe_types (proved), ascribe_formed_for_steps (proved), empty_typed (proved), message_nodes_for_steps (proved), offerStep_typed (proved), offerStep_types (proved), offer_nodes_for_steps (proved), pollStep_typed (proved), pollStep_types (proved), sizeStep_typed (proved), takeStep_typed (proved), Queue. (proved), withdrawOffer_typed (proved), withdrawOffer_types (proved), withdrawTake_typed (proved), withdrawTake_types (proved), bounded_types (proved), offer_types (proved), Queue. (proved), size_types (proved), Queue. (proved), modify_callback_answers (proved), empty_types (proved), Semaphore. (proved), releaseStep_types (proved), takeIfAvailableStep_types (proved), Semaphore. (proved), visitStep_types (proved), Semaphore. (proved), Semaphore. (proved), release_types (proved), takeIfAvailable_types (proved), Semaphore. (proved), withPermitsIfAvailable_types (proved), withPermits_types (proved), fromDefinitions_declarations (proved), arrayBatch_answers (proved), raceCompleteFirst_accepts (proved), raceCompleteFirst_keeps (proved), get_answers (proved), make_answers (proved), modify_answers (proved), shop_stages (goal), atomic (modulo), bounded (proved), committed (modulo), counted (modulo) | shop_stages, log_debits |
| R5 | open | build_total (proved) | expanded_refs_nil_of_wf (proved), typeOfProgram_expandRefs (proved), tree_needs_token (proved), unauthorized_calls_nothing (modulo) | request_leads |
| R6 | open | reachable_typed (modulo), preflight_success_prepared_fits (proved), preflight_failure_noShapeDefect (proved), instance_prepared_success (proved), origin_addresses_call (proved), reached_callInstance (proved), session_eq_ref (proved), denoteRows_eq_session_host (proved), runWith_denotes (proved), h8_loopedRows (proved), denoteRowsB_eq_session_host (proved), runWith_denotesB (proved) | compilesBO_bind (proved), compilesBO_catchCause (proved), compilesBO_catchIf (proved), compilesBO_exit (proved), compilesBO_iterate (proved), compilesBO_matchCause (proved), compilesBO_onExit (proved), compilesBO_select (proved), compilesBO_suspend (proved), localRunC_compileB (proved), localRunC_compileBO (proved), localRunC_to_rowsB (proved), localWaitC_to_rowsB (proved), bodyAt (proved), hostRunB_stable (proved), observeRows_project (proved), partAt_at (proved), partAt_of_hasTy (proved), bodyAt_at (proved), run_eq_ref_table (proved), checkModule_programCallAt (proved), handles_of_payloadFieldTy (proved), hasTy_callAt (proved), lookup_programCalls (proved), moduleHasTy_programCallAt (proved), programCallAt_rowTy (proved), bound_in_tree (modulo), request_leads (goal), applied_selects (proved), control_retires (proved), denoteRowsB_eq_session_host (proved), denoteRows_eq_session (proved), denoteRows_eq_session_host (proved), ending_of_tape (proved), h8_loopedRows (proved), runWith_denotes (proved), runWith_denotesB (proved), runWith_guarded_denotes (proved), runWith_guarded_denotesB (proved), runWith_host_denotes (proved), runWith_host_denotesB (proved), runWith_layer_denotes (proved), sessionSystem_finished (proved), sessionSystem_finishes (proved), session_eq_ref (proved), session_keys_once (proved), stale_never_applies (proved), timeout (modulo), workers (modulo), receipt_inert (proved) | countdown_parks_positional, request_leads, cleanup_keeps, retries_declared, logs_step |
| R7 | open | — | — | — |
| R8 | open | read_print (proved), read_exact (proved), run_eq_meaning (proved), loopAgreement (proved), run_eq_ref (proved), mask_rows_table_premises (proved), printTyped_eq_print (proved) | printTypedAt_none (proved), eraseJoinArgs_printTyped (proved), eraseJoinArgs_printTypedAt (proved), eraseJoinArgs_printTypedSitesAt (proved), readTyped_exact (proved), readTyped_printTyped (proved), readTyped_printTypedAt (proved), mask_rows_table_premises (proved), printTyped_eq_print (proved), readModule_printModule_defs (proved), funded_replays (proved), tape_replays (proved), unsuspended_runs (proved), shown_views_opened (proved) | — |
| R9 | open | m7_proved (modulo), m7_admitted (modulo) | countdown_parks_positional (goal) | countdown_parks_positional |
| R10 | open | andThenEffect_typed (proved), andThenContinuation_typed (proved), andThenThunk_typed (proved), as_typed (proved), asVoid_typed (proved), tapContinuation_typed (proved), tapEffect_typed (proved), ensuring_typed (proved), void_typed (proved), die_typed (proved), yieldKey_typed (proved), matchCause_typed (proved), matchCauseEffect_typed (proved), yieldNow_typed (proved), forkChildDefault_typed (proved), forkDetachDefault_typed (proved), forkInDefault_typed (proved), forkScopedDefault_typed (proved), releaseOne_typed (proved), mask_printed_form_profile (proved) | build_retains (proved), elaborateModule_no_declarations (proved), elaboration_eq_getD (proved), finishBuild_retains (proved), mapDoneEffectOf_protocol (proved), mapEffectOf_protocol (proved), awaitStep_agrees (proved), Latch. (proved), flushStep_agrees (proved), initialStep_agrees (proved), isOpenStep_agrees (proved), latch_registration_agrees (proved), latch_steps_agree (proved), wakeStep_agrees (proved), Latch. (proved), frame (proved), sound (proved), cell_read (proved), reads_ascribe (proved), step_updates (proved), available_eval (proved), available_reads (proved), bookkeeping_agrees (proved), PartitionedSemaphore. (proved), PartitionedSemaphore. (proved), reserve_eval (proved), reserve_reads (proved), tryTake_eval (proved), tryTake_reads (proved), Pool. (proved), drainStep_agrees (proved), leaseStep_agrees (proved), pool_steps_agree (proved), returnStep_agrees (proved), selectStep_agrees (proved), Pool. (proved), close_attempt (proved), drain_attempt (proved), drain_attempt_minted (proved), lease_attempt (proved), lease_attempt_minted (proved), Pool. (proved), return_attempt (proved), return_attempt_minted (proved), select_attempt (proved), withdraw_attempt (proved), withdraw_attempt_minted (proved), tagHit_record (proved), modify_loop (proved), sub_instantiate_polarity (proved), semiring_laws (proved), mask_printed_form_profile (proved), PubSub. (proved), PubSub. (proved), poll_eval (proved), poll_reads (proved), single_steps_agree (proved), slide_eval (proved), slide_reads (proved), subscribe_eval (proved), subscribe_reads (proved), tryPublish_eval (proved), tryPublish_reads (proved), unsubscribe_eval (proved), unsubscribe_reads (proved), catchDone_meaning (proved), matchAnswer_meaning (proved), matchEffect_meaning (proved), matchEffect_protocol (proved), offer_loop (proved), take_loop (proved), acceptLoop_length_le (proved), first_profile_closed (proved), flatMap_split (proved), offerStep_agrees (proved), offer_jobs (proved), pollStep_agrees (proved), poll_jobs (proved), positive_suspend_step_capacity (proved), queue_steps_agree (proved), sizeStep_agrees (proved), stateJobs_afterAccept (proved), Queue. (proved), take_jobs (proved), withdrawOffer_agrees (proved), withdrawOffer_jobs (proved), withdrawTake_agrees (proved), withdrawTake_jobs (proved), bounded_makes (proved), offer_attempt (proved), offer_attempt_minted (proved), offer_withdrawal (proved), offer_withdrawal_minted (proved), poll_attempt (proved), size_read (proved), Queue. (proved), Queue. (proved), Queue. (proved), Queue. (proved), decode_modifySome (proved), decode_option (proved), encode_getD (proved), getAndSet_agrees (proved), getAndUpdateSome_agrees (proved), getAndUpdate_agrees (proved), get_agrees (proved), kernel_agrees (proved), make_agrees (proved), modifySome_agrees (proved), modify_agrees (proved), modify_callback_agrees (proved), ref_steps_agree (proved), setAndGet_agrees (proved), set_agrees (proved), updateAndGet_agrees (proved), updateSomeAndGet_agrees (proved), updateSome_agrees (proved), update_agrees (proved), releaseStep_agrees (proved), semaphore_steps_agree (proved), takeIfAvailableStep_agrees (proved), Semaphore. (proved), visitStep_agrees (proved), Semaphore. (proved), Semaphore. (proved), release_attempt (proved), takeIfAvailable_attempt (proved), Semaphore. (proved), Semaphore. (proved), Semaphore. (proved), Semaphore. (proved), visit_attempt (proved), visit_attempt_minted (proved), arrayStep_agrees (proved), queue_built_program (proved), queue_elaborates (proved), queue_main_eq (proved), queue_main_some (proved), queue_refs_nil (proved), workers_built_program (proved), workers_elaborates (proved), workers_main_eq (proved), workers_main_some (proved), workers_refs_nil (proved), accounted_of_ledger (proved), exit_eq (proved), fed_perm (proved), filterMap_gave (proved), flatMap_offers (proved), heldWithin_of_ledger (proved), held_of_shows (proved), ledger_opened (proved), opened_exit (proved), jobs_step (goal), held_within_fed (modulo), queueWorkers (modulo), infrastructure_escapes (proved), routing (modulo), tagIs_pair (proved), retries_declared (goal) | jobs_step, logs_history, rest_step, request_leads, retries_declared |
| R11 | open | runState_complete (proved), runState_restore (proved), runState_prefix (proved), close_twice (proved), close_reentrant_add (proved), closeOrder_eq (proved), saved_mask_restoration (proved) | replace_sum (proved), replace_sum_le_omitted (proved), finalizerOr_debit (proved), getCont_le (proved), step_debit (proved), getCont_spec (proved), StackLedger. (proved), saved_mask_chain_runs (proved), saved_mask_pop_discipline (proved), saved_mask_region_bracket (proved), close_refuses (proved), drain_waits (proved), giveBack_front (proved), giveBack_once (proved), FinalizerRun. (proved), once_placed_pushes_once (goal), starts_le_pushes (proved), LedgerFinalizer. (proved), evaluateNative_maskChain (proved), evaluateNative_under (proved), evaluatePrim_producer (proved), evaluatePrim_under (proved), iteration_currentOpCount (proved), iteration_under (proved), AdministrativeKept. (proved), AdministrativeQueue. (proved), armE (proved), failure_stack_eq (proved), getCont_cause (proved), popFrom_cause (proved), resumeCause (proved), CommandClosure. (proved), joined (proved), read (proved), after_add_code_credits (proved), async_route_credits (proved), close_program_credits (proved), compile_credits (proved), emit_credits (proved), fin_program_credits (proved), load_credits (proved), load_funded (proved), prog_of_credits (proved), registration_template (proved), response_credits_bounded (proved), source_op_credits (proved), stack_before_action (proved), stack_before_iterator (proved), stack_before_push (proved), stack_before_suspend (proved), stack_credits_bounded (proved), update_credits (proved), add_memo_credits (proved), bind_service_credits (proved), build_scope_credits (proved), combine_credits (proved), constant_push_credits (proved), constant_stack_credits (proved), constant_start (proved), contA_credits (proved), contE_credits (proved), context_credits (proved), exit_credits (proved), failure_fiber_le (proved), failure_stack_le (proved), forced_yield_iteration (proved), forced_yield_loop_funded (proved), layer_compile_credits (proved), layer_construction_credits (proved), layer_inner_credits (proved), layer_resolve_credits (proved), layer_with_credits (proved), layer_zero_credits (proved), loop_top_credits (proved), merge_context_credits (proved), provide_body_credits (proved), provide_layer_credits (proved), provide_then_credits (proved), region_credits (proved), resolve_credits (proved), service_lookup_credits (proved), store_contA_credits (proved), store_contE_credits (proved), store_exit_credits (proved), suspend_credits (proved), update_body_credits (proved), yield_wrapper_credits (proved), Execution. (proved), Execution. (proved), outer_custody (proved), ready_emit (proved), ready_update (proved), armA_counts (proved), armE_counts (proved), finalizerEvents_no_push (proved), frame_failure_le (proved), getCont_no_push (proved), interp_loopEnter (proved), interp_suspend (proved), joinPushed_no_push (proved), noPush_append (proved), noPush_counts (proved), passEvents_no_push (proved), passPushed_no_push (proved), popFrom_no_push (proved), push_onSuccess (proved), registrations_append (proved), resumeCause_counts (proved), resumeValue_counts (proved), stack_full (proved), starts_append (proved), FrameDebit. (proved), sync_stack_le (proved), withFiber_suspend_le (proved), FrameSequencing. (proved), decision (proved), fold_lift (proved), deliver (proved), loop (proved), sync_op (proved), NativeIterationDebit. (proved), NativeMachineShape. (proved), NativeMachineShape. (proved), primitive (proved), NativeScopeDebit. (proved), action_noAdd (proved), action_not_finished (proved), action_returned (proved), countdown_noAdd (proved), exit_pop_noAdd (proved), finalizer_returned (proved), frame_step (proved), iteration_returned (proved), loop_top (proved), loop_top_source (proved), native_returned (proved), primitive_returned (proved), returned_clean (proved), scoped_exit_returned (proved), step_frame (proved), armA (proved), getCont_value (proved), resumeValue (proved), value_cap (proved), answerOf_clean (proved), armA_noAdd (proved), armE_noAdd (proved), constant_push_kept (proved), ensure_noAdd (proved), forced_unwrap (proved), getCont_cause_kept (proved), getCont_noAdd (proved), getCont_value_finalizer (proved), noAdd_append (proved), noAdd_cons (proved), noAdd_tail (proved), passPushed_noAdd (proved), popFrom_cause_kept (proved), popFrom_noAdd (proved), popFrom_value_finalizer (proved), resumeCause_clean (proved), resumeCause_kept (proved), resumeValue_clean (proved), resumeValue_kept (proved), resumeValue_kept_clear (proved), cancel (proved), closeSeq_credits (proved), interp_contA (proved), interp_contE (proved), interp_iter (proved), interp_loopResume (proved), iterator_future (proved), loopFinish_credits (proved), loopNext_credits (proved), loopResume_credits (proved), runStmts_credits (proved), store_cancel (proved), yieldOf_credits (proved), terminal (proved), RuntimeShape. (proved), close (proved), link (proved), syncOp (proved), acquired_registration (proved), async_noAdd (proved), async_producer (proved), forced_push (proved), forced_wrapper (proved), interrupt (proved), Sequencing. (proved), noAdd_asyncFinalizer (proved), noAdd_empty (proved), noAdd_full (proved), noAdd_mask (proved), opaque_noAdd (proved), raw_yield_excluded (proved), registration_step (proved), resume_command (proved), resume_frame_debit (proved), saved_resume (proved), stable_cause (proved), stable_full (proved), stable_refGet (proved), stable_value (proved), value_response (proved), yield_producer (proved), yield_response_full (proved), yield_stable (proved), add_open (proved), after_add_exit (proved), after_add_exit_credit (proved), after_add_unit (proved), after_add_unit_credit (proved), close_chain_transfer (proved), close_scope (proved), close_seq_command (proved), close_seq_start (proved), foreign_suspension (proved), release_loop_debit (proved), release_start (proved), release_start_count (proved), release_start_debit (proved), release_start_registered (proved), scope_add_closed (proved), scope_add_open (proved), StackRegion. (proved), compiled_region_bracket_of_prefix (proved), drive (proved), settle_callback (proved), clause_closeScope (proved), clause_scoped (proved), foreignFinalizer_ambient (proved), saved_mask_restoration (proved), compiled_mask_chain_runs (proved), compiled_region_bracket (proved), guarded_driveStep_liveTransports (proved), stepped_live (proved), log_debits (goal), cleans_once (modulo), crew_acquire_once_placed (proved), queueCrew_acquire_once_placed (proved), queue_acquisition_sites (proved), queue_placement (proved), workers_acquisition_sites (proved), workers_placement (proved), cleanup_step (modulo), logs_history (goal), registrations (proved), releases (proved), QueueWorkers. (modulo), cleanup_keeps (goal), logs_step (goal), registrations_step (proved), releases_step (proved), Workers. (modulo) | once_placed_pushes_once, log_debits, logs_history, cleanup_keeps, logs_step |
| R12 | open | fairTape_unarmed (proved), frontier_empty_iff_deadlocked (proved), rows_loop_frontier (proved), rows_loop_frontier_host (proved) | driveState_loop (proved), iteration_below_budget (proved), loop_of_iteration (proved), bounded (proved), complete_unique (proved), select_takes_first (proved), first_run_flags (proved), first_run_inv (proved), first_step_inv (proved), rows_loop_frontier (proved), rows_loop_frontier_host (proved), visit_selects_earliest (proved), visit_stops_iff (proved), quiet_nil (proved), settled_of_ledger (proved), settled_of_view (proved), spent_one (proved), within_one (proved), rest_step (goal), fed_accounted (modulo), queue_settled (modulo) | rest_step, jobs_step |
| R13 | open | journal_replays (proved) | reached (proved), reached_history (proved), tapeFrom_append (proved), tapeFrom_cut (proved), tapeFrom_cut_replays (proved), tapeFrom_position_replays (proved), history (proved), keeps (proved), replays (proved) | — |
| R14 | open | lattice_minimal (proved), holes_conservative (proved), sketch_weakening (proved), hole_hasTy (proved), NodeHasTy. (proved), replace_envAt (proved), check_closed (proved), Program. (proved), hasTy_extSlotEnv (proved), callAt_rowTy (proved), Program. (proved), Sketch. (proved), table_fill (proved), reached_view (proved), check_filled_module (proved) | max_assoc (proved), max_comm (proved), max_idem (proved), max_le (proved), max_mono (proved), closed (proved), checkAction_eq (proved), checkEffs_eq (proved), checkLayer_eq (proved), checkLayers_eq (proved), checkStmt_eq (proved), checkStmts_eq (proved), check_alg_agreeOn (proved), check_eq (proved), Annotate. (proved), bodyAt_typed (proved), BodiesHasTy. (proved), matchArgsB_monotone (proved), checkAction_rebase (proved), checkEffs_rebase (proved), checkLayer_rebase (proved), checkLayers_rebase (proved), checkStmt_rebase (proved), checkStmt_step_binds (proved), checkStmts_rebase (proved), check_rebase (proved), append (proved), nil (proved), push (proved), closed_arms (proved), ext (proved), feed_coherent (proved), feed_keeps (proved), feed_repaint (proved), feed_shown (proved), feed_spliced (proved), feed_undo (proved), open_coherent (proved), reached_coherent (proved), reached_view (proved), run_coherent (proved), run_keeps (proved), view_refusals (proved), view_type (proved), eq_defs_of_isBlock (proved), ne_defs_of_isBlock (proved), partAt_plain (proved), partAt_resig (proved), actionAll_onRef (proved), allTypes_append (proved), allTypes_nil (proved), allTypes_singleton (proved), allTypes_zipIdx_map (proved), annotationsAll_expandRefs (proved), annotationsClosed_of_formed (proved), annotations_closed (proved), argsAnnotations_all (proved), argumentAnnotations_all (proved), causeAnnotations_all (proved), closed_of_formed (proved), closed_of_nodes (proved), declAnnotations_all (proved), effAll_onRef (proved), effsAll_onRef (proved), forall_mem_none (proved), forall_mem_some (proved), formed_sites_iff (proved), inputFormed_program (proved), inputFormed_services (proved), layerAll_of_layerAt (proved), layerAll_onRef (proved), layersAll_onRef (proved), mem_nodes_field (proved), mem_nodes_item (proved), nodeAnnotations_all (proved), optionTerm_all (proved), programAnnotations_all (proved), services_closed (proved), stmtAll_onRef (proved), stmtsAll_onRef (proved), termAnnotations_all (proved), closed_genAnswer (proved), closed_joinAnswerT (proved), closed_merge (proved), closed_seq (proved), isBlock (proved), all_of_dropWhile_nil (proved), all_of_takeWhile_length (proved), dropWhile_eq_nil_of_all (proved), cause_cases_of_below (proved), cause_closed (proved), cause_least (proved), cause_monotone (proved), cause_reads (proved), cause_upper (proved), exit_closed (proved), exit_eliminator (proved), exit_one (proved), fiber_closed (proved), fiber_eliminator (proved), fiber_one (proved), list_closed (proved), list_eliminator (proved), list_one (proved), option_closed (proved), option_eliminator (proved), CustomScheme. (proved), Scheme. (proved), closed_monoApply (proved), closed_projectProduct (proved), closed_typeOf (proved), spec_answersClosed (proved), addresses_eq_cons (proved), at_append (proved), at_child (proved), at_layers_nil (proved), at_replaceAt_below (proved), at_stmts_nil (proved), childEnv_replace_kept (proved), child_add_three (proved), envAt_append (proved), envAt_child (proved), exists_at_of_mem_foldList (proved), foldList_cases (proved), mem_foldList_iff (proved), replaceAt_append (proved), replaceAt_cons_isBlock (proved), replaceAt_defs_body (proved), replaceAt_defs_main (proved), replaceAt_eff (proved), replaceAt_effs_head (proved), replaceAt_effs_tail (proved), setChild_isBlock (proved), sizeOf_child_lt (proved), stmtsHead_replace_kept (proved), child_step (proved), NodeHasTy. (proved), replace_envAt (proved), bodyAt_resig (proved), bodyAt_sig (proved), closed_check (proved), closed_fieldOf (proved), closed_fieldType (proved), closed_setOf (proved), closed_setType (proved), closed_tagArms (proved), withHoles_extends (proved), withHoles_nil (proved), withHoles_rowOf (proved), withHoles_withHoles (proved), extends_withDefs (proved), Sketch. (proved), check_fill (proved), check_fill_focusAt (proved), check_fill_kept (proved), check_filled (proved), check_filled_module (proved), Sketch. (proved), check_more_holes (proved), check_omit (proved), check_omit_focusAt (proved), check_program (proved), decode_encode (proved), decode_exact (proved), fillAt_of_replaceAt (proved), fillAt_some (proved), focusAt_at (proved), focusAt_more_holes (proved), Sketch. (proved), hole_hasTy (proved), hole_hasTy_focus (proved), Sketch. (proved), Sketch. (proved), refusals_of_check (proved), sigAt_extends (proved), sigAt_nil (proved), sigAt_part (proved), tableEntry_path (proved), table_fill (proved), Sketch. (proved), table_more_holes (proved), table_omit (proved), table_result_refusal_none (proved), bodies_eq (proved), bodies_mem_under (proved), bodies_restrict (proved), bodies_splice (proved), bodies_under (proved), bodyEntry_head (proved), bodyEntry_nil (proved), bodyEntry_nodecl (proved), bodyEntry_tail (proved), mem_splice (proved), moduleLayers_restrict (proved), splice_all_under (proved), splice_append_out_left (proved), splice_append_out_right (proved), splice_three (proved), typedAt_table (proved), typedAt_table_nil (proved), typedAt_table_of_focusAt (proved), under_append (proved), under_prefix_false (proved), under_self (proved), under_sibling_false (proved), closed_project (proved), closed_typeAt (proved), closedSubst_matchArgsB (proved), closed_cands (proved), closed_diffTag (proved), closed_instantiate (proved), closed_joinCands (proved), closed_payloadOf (proved), closed_payloadTy (proved), mem_of_lookup (proved), subN_causeOf_iff (proved), subN_exitOf_iff (proved), subN_fiberOf_iff (proved), subN_list_iff (proved), subN_option_iff (proved), adjoint (proved), adjoint_le (proved), extendAll_adjoint (proved), extendAll_bot (proved), extendAll_isSome_iff (proved), extendAll_laws (proved), extendAll_least (proved), extendAll_lift (proved), extendAll_mono (proved), extendAll_upper (proved), extend_adjoint (proved), extend_bot (proved), extend_isSome_iff (proved), extend_laws (proved), extend_least (proved), extend_liftOne (proved), extend_mono (proved), extend_upper (proved), liftOne_answers (proved), liftOne_isSome_iff (proved), liftOne_mono (proved), Eliminator. (proved), Eliminator. (proved), Eliminator. (proved), monotone (proved), lift_sound (proved), below_of_upper (proved), closed_join (proved), extendAll_agrees (proved), extendAll_closed (proved), extendAll_closed_pair (proved), extendAll_eq_some_iff (proved), extendAll_never (proved), extendAll_of_extend (proved), extendAll_refused (proved), extend_agrees (proved), extend_closed (proved), extend_closed_pair (proved), extend_eq_some_iff (proved), extend_never (proved), extend_refused (proved), extend_two (proved), foldl_all (proved), foldl_join_normalize (proved), foldl_join_pair (proved), foldl_join_pair_start (proved), foldl_join_start (proved), foldl_keeps (proved), joinAll_all (proved), joinAll_keeps (proved), joinAll_le (proved), joinAll_normalize (proved), join_normalize_right (proved), le_joinAll (proved), liftOne_congr (proved), liftOne_eq (proved), liftOne_eq_some_iff (proved), liftOne_member (proved), liftOne_never (proved), liftOne_some (proved), liftOne_two (proved), lift_all (proved), lift_closed (proved), lift_closed_pair (proved), lift_congr (proved), lift_laws (proved), UnionRule. (proved), lift_member (proved), UnionRule. (proved), lift_never (proved), lift_transfer (proved), lift_union (proved), lift_union_eq (proved), lift_union_eq_of (proved), lift_union_eq_of_antisymm (proved), lift_union_eq_pair (proved), lift_unique (proved), lift_unique_pair (proved), UnionRule. (proved), mapM_answer (proved), mapM_cons_eq_some (proved), mapM_source (proved), mapM_total (proved), members_union (proved), normal_ofMembers (proved), prod_antisymm (proved), subN_iff_le (proved), actionHasTy_closed (proved), actionHasTy_replace (proved), actionHasTy_sigProgram (proved), addresses_eff_head (proved), addresses_eq_foldList (proved), annotateModule_fill (proved), annotateModule_fill_body (proved), annotateModule_fill_layers (proved), annotateModule_fill_main (proved), annotateModule_fill_plain (proved), annotateModule_plain (proved), annotateModule_restrict (proved), Program. (proved), argTy_closed (proved), argsTy_closed (proved), bodiesHasTy_sigProgram (proved), callAt_rowTy (proved), causeInputError_causeOf (proved), causeInputError_exitOf (proved), causeInputError_upper (proved), causeTy_closed (proved), cause_mono (proved), checkBodies_restrict (proved), checkModule_ext (proved), checkModule_programFocusAt (proved), checkModule_replace_programFocusAt (proved), checkModule_restrict (proved), checkRow_rowBindings (proved), check_closed (proved), Program. (proved), check_replace (proved), check_replace_focusAt (proved), childAddresses_map_tableEntryAt (proved), closedSig_app (proved), closedSig_native (proved), closed_catchIfError (proved), closed_causeInputError (proved), closed_exitOf (proved), closed_fiberTy (proved), closed_getD (proved), closed_joinAnswer (proved), closed_listOf (proved), closed_litArgTy (proved), closed_nativeAtomTy (proved), closed_nativeServiceTy (proved), closed_optionTy (proved), closed_rowTy (proved), closed_serviceTy (proved), effTy_map_of_hasTy (proved), effTy_of_check (proved), effsHasTy_closed (proved), effsHasTy_replace (proved), effsHasTy_sigProgram (proved), exitOf_exitOf (proved), exitOf_upper (proved), fiberTy_fiberOf (proved), fiberTy_upper (proved), focusAt_eq_some (proved), Program. (proved), focusAt_typed (proved), foldMapAt_action_base (proved), foldMapAt_action_fuse (proved), foldMapAt_action_hom (proved), foldMapAt_action_paths_cons (proved), foldMapAt_action_paths_shift (proved), foldMapAt_eff_base (proved), foldMapAt_eff_fuse (proved), foldMapAt_eff_hom (proved), foldMapAt_eff_paths_cons (proved), foldMapAt_eff_paths_shift (proved), foldMapAt_effs_base (proved), foldMapAt_effs_fuse (proved), foldMapAt_effs_hom (proved), foldMapAt_effs_paths_cons (proved), foldMapAt_effs_paths_shift (proved), foldMapAt_layer_base (proved), foldMapAt_layer_fuse (proved), foldMapAt_layer_hom (proved), foldMapAt_layer_paths_cons (proved), foldMapAt_layer_paths_shift (proved), foldMapAt_layers_base (proved), foldMapAt_layers_fuse (proved), foldMapAt_layers_hom (proved), foldMapAt_layers_paths_cons (proved), foldMapAt_layers_paths_shift (proved), foldMapAt_stmt_base (proved), foldMapAt_stmt_fuse (proved), foldMapAt_stmt_hom (proved), foldMapAt_stmt_paths_cons (proved), foldMapAt_stmt_paths_shift (proved), foldMapAt_stmts_base (proved), foldMapAt_stmts_fuse (proved), foldMapAt_stmts_hom (proved), foldMapAt_stmts_paths_cons (proved), foldMapAt_stmts_paths_shift (proved), foldMapAt_term_fuse (proved), foldMapAt_terms_fuse (proved), hasTy_closed (proved), hasTy_extSlotEnv (proved), hasTy_focusAt (proved), hasTy_replace (proved), hasTy_replace_focusAt (proved), hasTy_sigProgram (proved), holes_conservative (proved), layerHasTy_closed (proved), layerHasTy_replace (proved), layerHasTy_sigProgram (proved), layersHasTy_closed (proved), layersHasTy_cons (proved), layersHasTy_replace (proved), layersHasTy_sigProgram (proved), listOf_list (proved), listOf_upper (proved), mem_addresses_iff (proved), moduleHasTy_partAt_typed (proved), moduleHasTy_programFocusAt (proved), moduleHasTy_replace_programFocusAt (proved), moduleHasTy_sigProgram (proved), nodeAnswer_replace_kept (proved), optionTy_eq_normal (proved), optionTy_option (proved), optionTy_upper (proved), Program. (proved), Program. (proved), refusals_of_hasTy (proved), sigOkKey_of_serviceTy (proved), sketch_more_holes (proved), sketch_reads_its_holes (proved), sketch_weakening (proved), stmtsHasTy_closed (proved), stmtsHasTy_replace (proved), stmtsHasTy_sigProgram (proved), subN_causeOf_causeUpper (proved), subN_exitOf_causeUpper (proved), tableAt_eq_cons (proved), tableAt_mem_path (proved), tableAt_none (proved), tableAt_path (proved), tableAt_perform (proved), tableAt_rebase (proved), tableAt_splice (proved), tableEntryAt_nil (proved), table_eq_tableAt (proved), Program. (proved), table_result_refusal_none_of_hasTy (proved), table_splice (proved), termTy_closed (proved), termTy_of_term? (proved), typeOfProgram_closed (proved), typeOfProgram_closed_app (proved), yieldAt_addressYield (proved), drop_le (proved), drop_le_of_subset (proved), exists_mem_subslices (proved), failed_rest (proved), failed_snoc (proved), filter_mem_sublists (proved), firstDrop_append (proved), firstDrop_length (proved), instIsPreorder (proved), instLawfulOrderInf (proved), instLawfulOrderSup (proved), le_drop (proved), le_of_mem_subslices (proved), not_mem_drop (proved), omitted_anti (proved), omitted_full (proved), omitted_subset (proved), restart_append (proved), restart_eq_sweep (proved), restart_of_none (proved), restart_of_some (proved), sublists_subset (proved), sweepAsked_length (proved), sweepFreeAsked_sublist (proved), sweepFree_congr (proved), sweepFree_eq_sweep (proved), sweep_congr (proved), sweep_kept_needed (proved), sweep_sublist (proved), sweep_valid (proved), keeps_above (proved), needs (proved), of_same_sites (proved), contribution_le (proved), contribution_lub (proved), contribution_valid (proved), decide_valid_up (proved), descendTree_asks (proved), descendTree_eq_descend (proved), descendTree_minimal (proved), descend_asks (proved), descend_eq_restart (proved), descend_le (proved), descend_minimal (proved), descend_sublist (proved), descend_valid (proved), exists_minimal_below (proved), isMinimal_iff (proved), lattice_minimal (proved), minimal_iff_drop (proved), minimal_refine (proved), minimals_complete (proved), minimals_sound (proved), ofOmitted_full (proved), parentOmitted_sound (proved), valid_max (proved), valid_refine (proved), valid_up (proved), ofJson_exact (proved), read_exact (proved), canonicalHex?_exact (proved), natOfBinary64_exact (proved), natOfBinary64_finite (proved), readFields_exact (proved), readIn_exact (proved), readList_exact (proved), tagOfName_exact (proved), except_error_bind (proved), except_ok_bind (proved), except_pure (proved) | — |
Next goals (11): countdown_parks_positional, shop_stages, log_debits, request_leads, cleanup_keeps, retries_declared, logs_step, jobs_step, logs_history, rest_step, once_placed_pushes_once
Open parts, with no planned goal (87), by state:
- Not triaged
- 36
- Worded as a proposed claim
- 27
- Waits on a ruling
- 13
- Needs a definition
- 6
- After other work
- 5
- R1: The signature is a parameter: one located refusal admits Σ_app, and every milestone statement takes it
- R2: Extension is conservative: C1–C8 over DI-47's relation on Σ_app
- R3: Data: the type language closed under records and variants as Ty growth
- R4: State: the world types every cell at any type, with rows as templates
- R5: Services: the service table, layers and provision
- R6: The host: a lawful HostSpec, receipt and application, DI-57's table-aware reference
- R7: Retained behaviour: a resolved code entry is typed at its reference's type
- R8: Runs and faces as named connections: equal to the reference inside a profile, refused outside it
- R9: Never goes wrong: M7a–c on M7Fragment (the empty host table, answer-free tapes)
- R10: Library code inherits theorems: a composed module's law is Agrees profile module expansion
- R11: Resources are released: at most once per registration, exactly once in close order
- R12: Frontiers name what they await
- R13: A run's inputs are data: equal recorded inputs give equal replay observations
- R14: A sketch checks and explains its types: holes and the gap, graduality, the focus, minimal type slices and total marking