system

28 beliefs (3 IN, 25 OUT)

OUT both-revision-paths-preserve-system-invariants
Both forms of belief modification — reactive contradiction resolution (backtracking to least-entrenched premise, skipping retracted nodes) and proactive dialectical challenge (irreversible premise transformation with inherited outlist semantics) — preserve system invariants despite operating through fundamentally different mechanisms, confirming that invariant preservation is architectural rather than mechanism-specific.
OUT defense-in-depth-spans-llm-and-system-boundaries
Defense-in-depth is enforced at every external interface through two independently-established layers: LLM integration applies layered defenses across application and process isolation boundaries (bounded execution, fail-soft handling, subprocess isolation), while all system boundaries simultaneously enforce strict validation, evolution tolerance, and resource constraints.
OUT full-system-integrity-is-gap-free
The system achieves gap-free integrity — enforced across all architectural layers, lifecycle states, and mutation paths — only when the dependents reverse index is reliably maintained and propagation handles dangling references gracefully.
IN migrated-retraction-both-revision-paths-preserve-system-invariants-j0
Invalid: over-generalizes from 2 specific properties to all system invariants (defeats both-revision-paths-preserve-system-invariants justification 0)
IN non-monotonic-system-is-single-reversible-primitive
The entire non-monotonic reasoning system — challenges, kill-switches, supersession, and dialectics — is built on a single primitive (outlist) that is inherently reversible, with no dedicated machinery for any defeat pattern.
OUT revision-system-is-reliable-and-auditable
The revision system achieves two independent trustworthiness properties simultaneously: end-to-end reliability across logical and infrastructure layers with no blind spots, and complete auditability with traceable correction history spanning all belief origins.
OUT system-achieves-full-correctness
The system achieves correctness at every level: deterministic conservative truth maintenance, a single reversible primitive for all non-monotonic features, and data integrity spanning all architectural layers — the system is sound end-to-end.
OUT system-achieves-tripartite-operational-assurance
The system achieves a complete operational profile across three independent assurance dimensions: externally controlled (bounded interfaces with defensive ingestion), internally self-correcting (contradiction resolution and staleness detection), and query-resilient (graceful degradation across all access paths) — ensuring no operational scenario is unaddressed.
IN system-artifacts-maintain-consistent-identification
Both automatically-generated dialectical structures (challenge nodes with deterministic auto-ID generation) and contradiction records (nogoods with unconditional recording) maintain consistent, referenceable identification schemes — system-generated artifacts are as addressable as user-created beliefs.
OUT system-assurance-is-universal-and-multidimensional
The system's operational assurance spans all dimensions — temporal completeness of self-correction, end-to-end reliability of read and write paths, and external control through bidirectional bounds and defensive ingestion — and holds universally across all architectural layers, storage backends, and adverse graph conditions including vacuous premises, asymmetric absence, and empty antecedents.
OUT system-assurance-spans-correction-reliability-and-control
The system's operational assurance spans three independent dimensions: temporal completeness of self-correction (creation-time contradiction resolution and maintenance-time staleness detection), resource sustainability (bounded token budgets preventing exhaustion), and external controllability (bidirectional interface bounds with defensive ingestion) — no assurance gap exists along any axis.
OUT system-boundaries-are-evolution-tolerant-and-reference-safe
The system handles boundary interactions safely along two independent dimensions: format and schema evolution is tolerated gracefully (derive parser fallbacks, forward-compatible metadata lines, SQLite schema migration via try/except), while reference validation prevents invalid IDs from crossing any boundary (import normalization drops unknown refs, nogoods skip missing nodes, LLM hallucination filtering discards phantom IDs)
OUT system-boundaries-are-validating-and-evolution-tolerant
All system boundaries simultaneously enforce strict input validation (typed exceptions, referential integrity checks, hallucination filtering) and tolerate evolution gracefully (dual format parsers, forward-compatible metadata, schema-tolerant loading) — boundaries are both strict about current invariants and adaptive to future changes.
OUT system-boundary-enforcement-spans-validation-resilience-and-resources
All system boundaries simultaneously enforce three independent properties: strict input validation through typed exceptions and referential integrity checks that reject malformed or dangling references, forward-compatible resilience that tolerates format and schema evolution without requiring coordinated upgrades, and resource governance through accurate bidirectional token budgets with transitive subset-gated access control — boundaries serve as gates for correctness, adapters for evolution, and constraints on resource consumption.
OUT system-converges-from-addition-and-removal
The system reaches deterministic stable states from both directions: import reconciliation converges through fixpoint iteration and dual reconciliation modes when beliefs are added, while retraction cascades terminate through BFS with stop-on-unchanged when beliefs are removed — bidirectional convergence guarantees that no sequence of additions or removals leaves the network in an oscillating or indeterminate state.
OUT system-efficiency-spans-packaging-and-runtime
Resource efficiency is enforced at every system phase: zero external dependencies with lazy loading minimize the static footprint at packaging and startup, while O(1) per-line budget tracking with chars/4 token estimation minimize computational overhead during runtime belief distillation.
OUT system-guarantees-are-universal-and-permanent
The system's ultimate properties are both permanent (maintained indefinitely without temporal degradation) and universal (extending fully to all beliefs regardless of origin) — no belief can escape the system's guarantees along either the time or scope dimension.
OUT system-guarantees-are-universal-permanent-and-verifiable
The system's ultimate guarantees are simultaneously universal (extending fully to all belief types including externally-integrated ones), permanent (maintained indefinitely without temporal degradation), and independently verifiable (origin-agnostic observability enables external audit without requiring trust in the system's internal state).
OUT system-history-is-consistently-referenceable
Every event in the system's operational history follows a deterministic path with complete traceability AND produces consistently-identifiable artifacts (auto-generated challenge IDs, unconditionally-recorded nogoods), making the complete history both causally traceable and individually referenceable by stable identifiers.
OUT system-is-minimal-sound-and-scalable
The entire system — from single-node truth semantics through multi-agent operation — achieves semantic minimality (all features derive from uniform primitives), operational soundness (deterministic reversible truth maintenance), and safe scalability (isolated multi-agent operation) simultaneously.
OUT system-is-unified-minimal-dialectical-and-scalable
The entire system — minimal primitives, sound multi-agent scaling, and complete dialectical revision — forms a unified design where every feature derives from the same core outlist/disjunction semantics with deterministic, reversible behavior.
OUT system-operations-never-crash
Every system operation is crash-free: atomic mutations prevent partial state corruption, deterministic reversible reasoning prevents oscillation and ambiguity, and uniform evaluation prevents dispatch errors — provided no dangling dependent references exist in the graph.
OUT system-output-is-comprehensively-governed
All system output is simultaneously normalized (uniform fail-safe schemas with deterministic structure), authorized (access-tag subset gating with transitive inheritance), and resource-constrained (accurate token budgets enforced bidirectionally) — achieving comprehensive output governance across all independent quality dimensions.
OUT system-properties-are-indefinitely-maintained
The system's three ultimate properties — self-sustainability, comprehensive auditability, and complete invariant preservation — extend beyond external beliefs to unlimited temporal scope: resource-sustainable self-correction within a deterministic lifecycle ensures these properties hold not just now but indefinitely, provided propagation correctness is maintained.
OUT system-properties-emerge-from-unified-design
All four primary system properties — integrity, scalability, extensibility, and robustness — emerge from a single unified architectural design rather than requiring independent engineering effort; integrity and scalability are complementary consequences of unified internal/external integrity with sound multi-agent scaling, while extensibility and robustness are jointly yielded by minimality, and the design that produces both pairs is the same.
OUT system-properties-extend-fully-to-external-beliefs
The system's three ultimate properties — self-sustainability through minimality's fixed-point, comprehensive auditability through fully-characterized maintenance, and complete invariant preservation — extend fully to externally-sourced beliefs through self-sustaining invariant preservation that dynamically encompasses external beliefs as first-class participants.
OUT system-reliability-spans-internal-and-external
The system is reliable along both internal and external dimensions: internally, both read paths (comprehensive staleness detection) and write paths (crash-free propagation) are reliable; externally, interfaces are bidirectionally bounded with budget-constrained output and comprehensive staleness-gated input.
OUT unified-system-maintains-end-to-end-integrity
The fully unified system — minimal primitives, sound multi-agent scaling, and complete dialectical revision — also maintains end-to-end integrity across all internal and external operations, meaning the design's unification extends from semantic minimality through operational safety to produce a system where every component inherits both the expressiveness and the integrity guarantees of the core.