complete

61 beliefs (34 IN, 27 OUT)

IN absence-and-outlist-form-complete-negative-semantics
The system has complete semantics for all forms of negation: structural absence produces emergent premise behavior and asymmetric fail modes, while explicit outlist entries provide conjunctive defeat with defined absent-node handling and persistence — together covering every mechanism by which beliefs can be negated or defeated.
IN belief-modification-is-bidirectionally-complete-and-traceable
Belief modification is complete in both directions: contradictions that create truth changes are resolved through traceable dependency-directed backtracking with consistent nogood IDs, AND defeats that suppress truth values reverse automatically through BFS propagation with surgical restoration hints — no truth change is either irresolvable or irreversible without full traceability.
OUT compact-output-is-structurally-complete-and-predictably-bounded
The compact module simultaneously achieves structural completeness — priority-ordered sections where later sections never displace earlier ones, infallible handling of all edge cases including empty networks and zero budgets, and pre-reserved footer guaranteeing auditability metadata — and predictable resource bounding through a pure deterministic function with guaranteed budget enforcement and self-reporting token counts, making compact a reliable building block for automated context-limited pipelines.
OUT complete-architecture-achieves-verified-production-correctness
The complete reasoning-and-revision architecture — deterministic in state trajectories, lifecycle-complete in monitoring, and architecturally grounded in invariant preservation — achieves verified production correctness across all operation types when propagation correctly tracks all dependents.
IN complete-architecture-is-backend-portable
The deterministic lifecycle-complete architecture — with its predictable state trajectories, gapless lifecycle monitoring, and uniform safety enforcement — operates identically across all storage backends, achieving full portability between SQLite and PostgreSQL.
IN complete-architecture-is-deterministic-and-lifecycle-complete
The complete reasoning-and-revision architecture is both deterministic in its state trajectories and lifecycle-complete in its monitoring coverage — no belief can escape either guarantee, creating a system where every belief is both predictably computed and fully tracked.
OUT complete-architecture-preserves-invariants-minimally
The complete reasoning-and-revision architecture preserves all system invariants through shared minimal foundations rather than through independent enforcement mechanisms — both architectural completeness (forward reasoning paired with backward revision) and invariant preservation (reactive contradiction resolution paired with proactive dialectical challenge) flow from the same outlist/disjunction primitives.
OUT complete-quality-lifecycle-spans-creation-through-egress
The complete belief quality lifecycle — automated self-correction maintaining consistency, explicit review validating derived beliefs, and governed resilient egress controlling all output — forms an unbroken chain where quality is enforced at creation, validated during maintenance, and preserved through output.
OUT complete-system-history-is-deterministic-and-traceable
Every state change throughout the system's operational history — intentional dialectical transformations and automated contradiction resolutions alike — follows deterministic paths and produces a complete traceable record, yielding a fully auditable deterministic history with no unrecorded transitions.
OUT complete-system-is-self-correcting
The system actively maintains its own consistency along two independent dimensions: the TMS core handles exceptional conditions (contradictions trigger deterministic resolution, propagation respects lifecycle state), while belief currency management detects and surfaces drift in source material — no inconsistency persists undetected or unresolved.
OUT complete-unified-system-is-production-ready
The fully unified minimal-dialectical-scalable system with end-to-end integrity is production-ready — all mutations produce correct state, all revision is reliable, all extensions compose safely — but only when every known fragility and bug is resolved.
IN contradiction-management-is-complete-and-traceable
The system provides complete contradiction management: the revision pipeline reliably resolves contradictions through outlist defeat and dependency-directed backtracking with guaranteed termination, while nogood resolution maintains a consistent referenceable history of all detected contradictions — enabling both automated resolution and post-hoc forensic analysis of belief conflicts.
IN contradiction-resolution-achieves-minimal-impact-complete-cascades
Contradiction resolution simultaneously achieves minimal disruption (least-entrenched culprit selection with surgical recovery hints targeting only cascade victims) and complete effect propagation (retraction cascades transitively through all dependent nodes with guaranteed termination) — the system minimizes blast radius while ensuring no node escapes the cascade.
OUT convergent-equilibria-have-complete-propagation-fidelity
System convergence to evaluation-invariant equilibria achieves complete propagation fidelity — every truth change cascades to every transitively dependent node including outlist dependents — and topology preservation covers all reference types, provided the dependency tracking assumption holds.
IN dedup-reflects-complete-dependency-graph
Deduplication survivor selection accurately reflects the complete dependency graph — the node with the most dependents survives each cluster, and that dependent count includes both antecedent-based and outlist-based dependency edges, ensuring the structurally most-connected node is always preserved.
IN defeat-reversal-is-topology-complete-with-guided-recovery
Automatic defeat reversal with surgical recovery guidance propagates through topology-complete inconsistency-safe cascades — recovery reaches all transitively affected nodes including outlist-connected ones, handles dangling references gracefully, and provides restoration hints targeting only cascade victims with surviving premises.
OUT derive-pipeline-has-complete-coverage
The derive pipeline achieves complete coverage along three axes: safety (fail-soft validation, Jaccard retraction guards, environment isolation), completeness (exhaustive exploration with guaranteed termination), and production-readiness (accurate proportional budgets, roundtrippable prompt format).
OUT derive-pipeline-is-safe-and-complete
The derive pipeline simultaneously provides safety (fail-soft validation, Jaccard retraction guards, environment isolation) and completeness (exhaustive exploration with guaranteed cycle-free termination), ensuring LLM-driven belief generation discovers all derivable conclusions without corruption risk.
OUT derive-pipeline-is-safe-complete-and-efficient
The derive pipeline simultaneously achieves safety (fail-soft validation with Jaccard retraction guards and environment isolation), completeness (exhaustive exploration with guaranteed termination via cycle guards), and efficiency (linear O(N) budget accumulation with a floor of 5 beliefs per agent preventing representation starvation).
IN dialectical-revision-is-deterministic-reliable-and-complete
The dialectical revision system achieves three independent trustworthiness properties simultaneously: determinism (through semantic transparency inheriting uniform evaluation rules), reliability (through safe crash-free premise-to-justified transformation), and semantic completeness with controlled irreversibility (comprehensive negative semantics where all defeats reverse but identity transformation is permanent) — making dialectical operations fully production-trustworthy.
OUT dialectics-complete-the-revision-system
The system handles both automated belief revision (outlist defeat for proactive retraction, dependency-directed backtracking for reactive contradiction resolution) and interactive dialectics (challenge/defend for human-driven contestation) — both operating atomically through the same outlist primitive with transparent, uniform evaluation semantics.
IN dialectics-inherit-complete-outlist-semantics
The recursive challenge/defend dialectical system inherits fully-specified semantics from the outlist primitive: conjunction over multiple outlists, absent-means-OUT permissiveness, and persistence guarantees all apply to dialectical structures without additional rules.
OUT dispute-resolution-is-complete-and-reliable
Both dispute resolution mechanisms — intentional (dialectical challenge/defend with irreversible premise transformation) and automated (contradiction detection with dependency-directed backtracking) — are individually fully reliable, crash-safe, and traceable, leaving no dispute pathway that could silently fail or lose history.
IN dual-backend-atomicity-is-feature-complete
Both storage backends provide atomic isolated operations with complete API coverage — the SQLite backend's context-managed mutations and PgApi's per-method transactions cover the same full set of operations
IN edge-case-uniformity-reinforces-complete-negative-semantics
Uniform handling of all semantic edge cases — vacuous premises, asymmetric absence, empty antecedents — reinforces the completeness and recoverability of negative semantics: every edge case within the negation lifecycle (missing outlist nodes treated as OUT, challenge of already-justified nodes, recovery from outlist defeat) is handled by the same minimal evaluation rules that ensure reversibility.
OUT equilibria-are-negation-transparent-with-complete-fidelity
The system's convergent equilibria simultaneously satisfy two independent completeness criteria: negation transparency (the final stable state is uniquely determined by declarative semantics with no hidden procedural effects from negation) and complete propagation fidelity (every truth change cascades to every transitively dependent node with topology preservation and guided recovery).
IN evaluation-purity-enables-complete-minimal-architecture
Evaluation purity — uniform, deterministic, side-effect-free justification validity checking — is the concrete computational property that makes the completeness-minimality unification possible: purity simultaneously grounds context-agnosticism (enabling the minimal primitive set to handle all cases uniformly) and ensures that architectural completeness follows from rather than despite minimality (because pure evaluation needs no case-specific logic).
IN external-belief-lifecycle-is-complete
The system manages external beliefs across their full lifecycle: import/sync provides dual reconciliation modes with heterogeneous truth state handling and namespace auto-wiring, while staleness checking detects source drift for CI gating — beliefs are tracked from initial ingestion through ongoing validity monitoring.
OUT external-belief-management-is-complete
External beliefs are managed across their entire lifecycle with no gap between any management phase: safely integrated through defensive validation pipelines, lifecycle-managed across dual import/sync reconciliation modes, and actively kept current through staleness detection and derive pipeline refresh — providing complete external belief management from ingestion through retirement.
IN external-lifecycle-is-complete-and-automatically-maintained
External beliefs achieve both complete lifecycle management (dual reconciliation modes with heterogeneous truth state handling and staleness detection) and automated ongoing maintenance (idempotent sync with cascade preservation and full source staleness coverage), enabling zero-touch external belief management
OUT external-lifecycle-receives-quality-complete-self-correction
External beliefs follow deterministic trust-bounded lifecycles AND receive self-correction that is complete across all quality dimensions — grounded in source integrity, documented with referenceable artifacts, convergent on accurate topology, and evolution-tolerant — ensuring external beliefs are not merely contained but actively maintained at the same quality standard as internal beliefs.
IN governance-is-topology-source-and-traceability-complete
Rich governance simultaneously achieves completeness across three independent output dimensions — topology-complete in reach, source-verified in integrity, and metadata-enriched in traceability — so every governance action produces a verifiable, traceable, source-grounded state transition.
IN graph-traversal-is-complete-and-terminating-in-both-directions
Both forward truth propagation and backward retraction cascades achieve complete graph traversal (reaching all transitively affected nodes through all relationship types including outlists) with guaranteed termination, ensuring the system converges from both assertion and retraction operations.
IN grounded-dialectics-achieve-complete-bidirectional-assurance
Dialectical operations achieve both semantic grounding (through evaluation purity and uniform semantics) and operational completeness (forward reliability of challenge/defend with backward recovery of defeat reversal) — grounding ensures the operations are well-founded while bidirectional reliability ensures they work correctly in both directions.
IN identity-transformation-is-complete-and-reliable
Premise identity is bidirectionally transformable (challenge destroys premise identity, convert-to-premise restores it) and the destructive direction achieves full reliability through crash-safe semantics-preserving propagation — making identity transformation a complete and reliable lifecycle operation in both directions.
IN import-provides-complete-reconciliation
The import subsystem provides complete reconciliation coverage: heterogeneous truth states are handled correctly on initial load, dual modes support additive import and remote-wins sync for different operational needs, and the colon-based namespace convention with auto-wiring prevents ID collisions across agents.
IN incremental-propagation-is-fully-complete
Incremental truth propagation reaches every node whose truth value should change — including nodes that depend via outlist entries — without requiring periodic full recomputation, because safe terminating BFS traversal operates over a dependents index that tracks both antecedent and outlist relationships.
IN metadata-governance-has-topology-complete-propagation
The rich lifecycle state carried in metadata — retraction flags, stale reasons, access tags — participates in topology-complete robust propagation that reaches all transitively dependent nodes under all graph conditions, ensuring lifecycle governance decisions cascade completely through the network rather than stopping at direct dependents.
IN metadata-governed-modifications-are-bidirectional-and-topology-complete
Bidirectional belief modifications — contradiction resolution and defeat reversal — propagate metadata-governed lifecycle state (retraction flags, stale reasons, access tags) topology-completely within a deterministic lifecycle, ensuring every modification in either direction carries complete metadata through the entire dependency graph with no governance gap between forward and backward changes.
IN migrated-retraction-dispute-resolution-is-complete-and-reliable-j0
Invalid: traceability not established for dialectical path (defeats dispute-resolution-is-complete-and-reliable justification 0)
IN negative-semantics-are-complete-reversible-and-recoverable
The system's negative semantics form a complete belief modification lifecycle: complete semantics cover all negation forms (structural absence and explicit outlist defeat), all defeat mechanisms reverse automatically through BFS propagation cascades, and surgical restoration hints target only cascade victims with surviving premises — every belief retraction can be undone with guided recovery.
OUT output-governance-is-complete-authorized-and-ci-ready
All system output is simultaneously structurally complete (priority-ordered compact summaries with predictable bounds), authorized (access-tag subset gating with transitive inheritance), resource-constrained (accurate bidirectional token budgets), and machine-parseable (deterministic CI-ready staleness reports with nonzero exit codes).
OUT pg-multi-tenancy-is-referentially-complete
PgApi's multi-tenant isolation with composite primary keys and application-level BFS propagation prevents all cross-project data leakage and ensures consistent truth maintenance — unless antecedent references stored as JSONB arrays lack foreign key constraints, allowing phantom node references within a project.
OUT pgapi-is-complete-sql-reimplementation
PgApi is a complete SQL-native reimplementation of the in-memory Network: it re-implements core algorithms (BFS propagation, entrenchment scoring, nogood resolution) directly in SQL with multi-tenant composite keys and per-method transaction semantics, achieving full behavioral parity.
IN propagation-is-topology-complete-and-inconsistency-safe
Truth propagation is both topologically complete — reaching all transitively dependent nodes including those connected through outlist entries, not just antecedent references — and safe under graph inconsistency, skipping dangling dependent references with structured warnings rather than crashing, ensuring correct cascading even in networks with imperfect structural integrity such as nodes deleted without full reference cleanup.
OUT quality-lifecycle-is-complete-and-resource-efficient
The complete LLM-driven quality lifecycle — creation via derive with defensive validation, classification via list-negative with batch scalability, and validation via review with read-only fault tolerance — operates within resource-efficient bounds spanning zero-dependency packaging through lazy-loading startup through bounded runtime execution, ensuring quality assurance scales sustainably with belief network size.
IN reasoning-and-revision-form-complete-architecture
The system provides a complete reasoning-and-revision architecture: the deterministic reversible engine reliably computes truth states in the forward direction, while the comprehensive minimal revision system handles all forms of belief change (outlist defeat, contradiction resolution, dialectical challenge) in the corrective direction — together covering the full lifecycle of belief management.
OUT retraction-reporting-reflects-complete-cascades
The retraction reporting system provides accurate effect coverage across all cascade paths — structured before/after diffs capture every truth-value change, restoration hints target only cascade victims with surviving premises, and the cascade itself transitively reaches all dependent nodes — but only when the dependents index tracks all relationship types including outlists, ensuring no outlist-mediated cascade victims produce unreported effects.
OUT revision-achieves-complete-trustworthiness
The revision system simultaneously achieves three independent trustworthiness properties: verifiable soundness (complete two-dimensional provenance/temporal coverage with reliable propagation), end-to-end reliability (across logical and infrastructure layers), and complete auditability (every correction leaves traceable history).
IN revision-has-complete-semantics-with-controlled-irreversibility
The belief revision system is simultaneously comprehensive and minimal, with complete negative semantics exhibiting a controlled asymmetry: all defeat mechanisms (challenge, kill-switch, supersession) are truth-value reversible, but the identity transformation during challenge (premise-to-justified) is permanent — the system can undo the effects of any defeat but cannot restore a node's original unjustified status.
IN rich-governance-encompasses-topology-complete-transitions
Rich governance — deterministic from revision through source integrity, exception-safe across all failure modes, and source-grounded — encompasses topology-complete state transitions, ensuring every belief modification propagates richly-governed metadata-enriched state changes completely through the dependency graph with deterministic recoverable outcomes.
IN rich-governance-is-deterministic-and-lifecycle-complete
The deterministic lifecycle-complete architecture governs state richer than binary truth values — deterministic reasoning ensures predictable state trajectories and gapless lifecycle monitoring ensures no belief escapes management, while metadata-enabled governance extends these guarantees to retraction reasons, staleness tracking, and access control beyond IN/OUT.
OUT self-correction-has-complete-traceable-history
The system's self-correction is both temporally complete (spanning creation-time contradiction resolution and maintenance-time staleness detection) and historically traceable (nogoods recorded consistently with stable IDs), ensuring corrections can be audited and understood after the fact.
OUT self-correction-is-temporally-complete-and-resource-sustainable
Self-correction operates deterministically across all temporal dimensions — creation-time contradiction resolution and maintenance-time staleness detection alike — AND is resource-sustainable with gapless lifecycle coverage, enabling the system to maintain consistency indefinitely without resource exhaustion or temporal blind spots.
OUT system-is-self-sustaining-auditable-and-invariant-complete
The system simultaneously achieves three ultimate properties: self-sustainability through minimality's fixed-point, comprehensive invariant preservation, and complete operational auditability for every maintenance action — a single closed architecture that maintains itself, preserves all guarantees, and traces every action.
OUT system-output-is-complete-bounded-and-ci-ready
The system's two primary output mechanisms — compact belief summaries and staleness reports — both meet production standards: structurally complete with priority ordering, predictably bounded by token budgets, and CI-pipeline ready with deterministic sorted output, nonzero exit codes, and machine-parseable schemas.
IN system-semantics-are-minimal-and-complete
The entire TMS — both monotonic truth maintenance and non-monotonic defeat — derives from a minimal set of uniform primitives: emergent truth rules (disjunction over conjunction, premise-from-absence) combined with a single reversible outlist mechanism that underlies all defeat features, with no additional machinery required.
OUT topology-accurate-self-correction-is-quality-complete
Self-correction achieves quality completeness on accurate convergent topology — every correction is grounded, documented, convergent, evolution-tolerant, and propagates through complete dependency tracking to deterministic stable states.
IN topology-complete-governance-produces-rich-traceable-state
Every topology-complete transition within the rich governance framework produces metadata-enriched traceable state — transitions that reach all transitively dependent nodes simultaneously govern richer state than binary truth values, including retraction flags, stale reasons, access tags, and supersession metadata.
IN topology-complete-transitions-are-exception-safe
Every belief state transition is simultaneously topology-complete (reaching all transitively dependent nodes including outlist-connected ones), traceable (producing deterministic structured diffs), exception-safe (handling contradictions and challenges without corruption), and recoverable (providing guided restoration hints for cascade victims).
IN topology-complete-transitions-within-rich-governance
Every topology-complete exception-safe state transition operates within a richly-governed revision system extending beyond binary truth — transitions are doubly exception-safe at both the propagation mechanics and governance framework levels.