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task 172: complete implementation
Session: sess_1781312776_63c955
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specs/172_connectives_hasand_hasor_full_primitives/.return-meta.json

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specs/172_connectives_hasand_hasor_full_primitives/plans/01_hasand-hasor-plan.md

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# Implementation Plan: HasAnd/HasOr Atomic Typeclasses
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- **Task**: 172 - connectives_hasand_hasor_full_primitives
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- **Status**: [IMPLEMENTING]
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- **Status**: [COMPLETED]
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- **Effort**: 1.5 hours
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- **Dependencies**: None (task 171 research complete; no code prerequisites)
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- **Research Inputs**: reports/01_team-research.md

specs/TODO.md

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**Dependency Waves**:
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| Wave | Tasks | Blocked by | Topics |
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|------|-------|------------|--------|
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| 1 | 36,37,62,127,139,146,147,160,169,170,171,172 | -- | Bimodal Porting, Modal PRs, Propositional Logic, ... |
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| 2 | 39,40,63,140,148,161,173 | 36,37,62,139,147,160,172 | Modal PRs, Propositional PRs, Temporal Logic, ... |
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| 3 | 41,64,141,149,162,174,175,176,178 | 39,40,63,140,148,161,173 | Foundations, Modal PRs, Propositional PRs, ... |
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| 4 | 128,129,142,150,177 | 141,146,149,175,176 | Modal PRs, Propositional PRs, Foundations Refactor |
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| 1 | 36,37,62,127,139,146,147,160,169,170,171,173 | -- | Bimodal Porting, Modal PRs, Propositional Logic, ... |
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| 2 | 39,40,63,140,148,161,174,175,176,178 | 36,37,62,139,147,160,173 | Modal PRs, Propositional PRs, Temporal Logic, ... |
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| 3 | 41,64,141,149,162,177 | 39,40,63,140,148,161,175,176 | Foundations, Modal PRs, Propositional PRs, ... |
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| 4 | 128,129,142,150 | 141,146,149 | Modal PRs, Propositional PRs |
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| 5 | 126,143,151,152,154,163 | 142,150,160 | Modal PRs, Propositional PRs, Temporal PRs |
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| 6 | 130,133,144,153,155,156 | 126,127,143,151,152,154 | Modal PRs, Propositional PRs |
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| 7 | 131,132,134,135,157 | 127,128,130,133,152,156 | Modal PRs, Propositional PRs |
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### Foundations Refactor
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172 [PLANNED] — Extend Cslib/Foundations/Logic/Connectives.lean for the hybrid fi
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└─ 173 [NOT STARTED] — Refactor Cslib/Logics/Propositional to the hybrid five-primitive
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└─ 174 [NOT STARTED] — Extend Cslib/Logics/Propositional/Semantics and Metalogic from th
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└─ 175 [NOT STARTED] — Propagate the hybrid five-primitive design to the Modal layer: Mo
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└─ 177 [NOT STARTED] — Propagate the hybrid five-primitive design to the Bimodal layer (
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└─ 176 [NOT STARTED] — Propagate the hybrid five-primitive design to the Temporal layer:
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└─ 177 [NOT STARTED] — Propagate the hybrid five-primitive design to the Bimodal layer ( (see above)
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└─ 178 [NOT STARTED] — Documentation and citation corrections from task 171 research: (1
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173 [NOT STARTED] — Refactor Cslib/Logics/Propositional to the hybrid five-primitive
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└─ 174 [NOT STARTED] — Extend Cslib/Logics/Propositional/Semantics and Metalogic from th
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└─ 175 [NOT STARTED] — Propagate the hybrid five-primitive design to the Modal layer: Mo
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└─ 177 [NOT STARTED] — Propagate the hybrid five-primitive design to the Bimodal layer (
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└─ 176 [NOT STARTED] — Propagate the hybrid five-primitive design to the Temporal layer:
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└─ 177 [NOT STARTED] — Propagate the hybrid five-primitive design to the Bimodal layer ( (see above)
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└─ 178 [NOT STARTED] — Documentation and citation corrections from task 171 research: (1
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## Tasks
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### 172. Connectives hasand hasor full primitives
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- **Status**: [PLANNED]
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- **Status**: [COMPLETED]
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- **Task Type**: cslib
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- **Topic**: Foundations Refactor
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- **Dependencies**: None
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- **Plan**: [172_connectives_hasand_hasor_full_primitives/plans/01_hasand-hasor-plan.md]
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- **Summary**: [172_connectives_hasand_hasor_full_primitives/summaries/01_hasand-hasor-summary.md]
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**Description**: Extend Cslib/Foundations/Logic/Connectives.lean for the hybrid five-primitive signature {atom, bot, imp, and, or}: add HasAnd and HasOr atomic typeclasses alongside HasBot/HasImp/HasBox/HasUntil/HasSince; update the bundled classes (PropositionalConnectives, ModalConnectives, TemporalConnectives, BimodalConnectives) to include them; revise or remove ImpBotDerived (the bot/imp-derived and/or defaults are classical-only per task 171 research and must not be presented as logic-neutral). Keep derived-connective defaults only for neg (A -> bot), top (bot -> bot), and iff, which are valid in minimal/intuitionistic/classical logic. Align design with fmontesi's PR #607 operator-typeclass direction (one class per operator, notation-level) to ease upstream reconciliation. Reference: specs/171_research_connective_basis_min_int_classical/reports/01_team-research.md.
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specs/state.json

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{
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"project_number": 172,
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"project_name": "connectives_hasand_hasor_full_primitives",
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"status": "planned",
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"status": "completed",
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"task_type": "cslib",
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"topic": "Foundations Refactor",
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"dependencies": [],
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"description": "Extend Cslib/Foundations/Logic/Connectives.lean for the hybrid five-primitive signature {atom, bot, imp, and, or}: add HasAnd and HasOr atomic typeclasses alongside HasBot/HasImp/HasBox/HasUntil/HasSince; update the bundled classes (PropositionalConnectives, ModalConnectives, TemporalConnectives, BimodalConnectives) to include them; revise or remove ImpBotDerived (the bot/imp-derived and/or defaults are classical-only per task 171 research and must not be presented as logic-neutral). Keep derived-connective defaults only for neg (A -> bot), top (bot -> bot), and iff, which are valid in minimal/intuitionistic/classical logic. Align design with fmontesi's PR #607 operator-typeclass direction (one class per operator, notation-level) to ease upstream reconciliation. Reference: specs/171_research_connective_basis_min_int_classical/reports/01_team-research.md.",
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"created": "2026-06-13T00:28:47Z",
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"last_updated": "2026-06-13T01:04:32Z",
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"session_id": "sess_1781312396_0c26a5",
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"last_updated": "2026-06-13T01:16:36Z",
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"session_id": "sess_1781312776_63c955",
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"artifacts": [
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{
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"path": "specs/172_connectives_hasand_hasor_full_primitives/plans/01_hasand-hasor-plan.md",
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"type": "plan",
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"summary": "3-phase implementation plan for HasAnd/HasOr typeclasses, ImpBotDerived trim, and docstring updates in Connectives.lean"
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},
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{
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"path": "specs/172_connectives_hasand_hasor_full_primitives/summaries/01_hasand-hasor-summary.md",
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"type": "summary",
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"summary": "Three phases implemented: HasAnd/HasOr standalone typeclasses added, ImpBotDerived trimmed to neg/top, module docstring updated to five-primitive design rationale. PropositionalConnectives bundled extension deferred to task 173 (abbrev-pathway does not auto-resolve in Lean 4 typeclass synthesizer)."
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}
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],
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"plan_metadata": {
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"integrated_date": "2026-06-12"
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}
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]
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}
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},
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"completion_summary": "Added HasAnd/HasOr atomic typeclasses to Connectives.lean, trimmed ImpBotDerived to neg/top (removed classical-only Lukasiewicz and/or defaults), updated module docstring to five-primitive design rationale. PropositionalConnectives bundled extension deferred to task 173 (abbrev-pathway resolution failed). Full build, checkInitImports, and lint-style all passed; 0 sorries."
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},
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{
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"project_number": 173,

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