# Logic > Does it hold, and what follows from it? Record: `reason:math-type-logic` Kind: math-type Canonical: https://banes-lab.com/ontology/reasoning#reason-math-type-logic ## domain - [Logic](https://banes-lab.com/records/reason/math-domain-logic.md) ## contracts - [Semantic Operation Boundary](https://banes-lab.com/records/algo/semantic-operation-boundary.md) - [Domain Cache Validation](https://banes-lab.com/records/algo/domain-cache-validation.md) - [Principle Extraction](https://banes-lab.com/records/algo/principle-extraction.md) - [Phase Validation Requirement](https://banes-lab.com/records/algo/phase-validation-requirement.md) - [Validation Strategy Composition](https://banes-lab.com/records/algo/validation-strategy-composition.md) - [Semantic Compliance Validation](https://banes-lab.com/records/algo/semantic-compliance-validation.md) - [Algorithmic Embodiment Validation](https://banes-lab.com/records/algo/algorithmic-embodiment-validation.md) - [Agent Generation Completion](https://banes-lab.com/records/algo/agent-generation-completion.md) - [Hybrid Workflow Orchestration](https://banes-lab.com/records/algo/hybrid-workflow-orchestration.md) - [Context Forking Configuration](https://banes-lab.com/records/algo/context-forking-configuration.md) - [Verb-Based Execution Classification](https://banes-lab.com/records/algo/verb-based-execution-classification.md) - [Workflow Type Document Selection](https://banes-lab.com/records/algo/workflow-type-document-selection.md) - [Handoff Signal](https://banes-lab.com/records/algo/handoff-signal.md) - [Orchestrator Action](https://banes-lab.com/records/algo/orchestrator-action.md) - [Workflow Principles Mapping](https://banes-lab.com/records/algo/workflow-principles-mapping.md) - [Workflow Validation Gate](https://banes-lab.com/records/algo/workflow-validation-gate.md) - [Anti-Pattern Inversion](https://banes-lab.com/records/algo/anti-pattern-inversion.md) - [Architecture Smell Record](https://banes-lab.com/records/algo/architecture-smell-record.md) - [Architectural Force Classification](https://banes-lab.com/records/algo/architectural-force-classification.md) - [Conflict and Tension Resolution](https://banes-lab.com/records/algo/conflict-and-tension-resolution.md) - [Violation Detection](https://banes-lab.com/records/algo/violation-detection.md) - [Enforcement Gate](https://banes-lab.com/records/algo/enforcement-gate.md) - [Modular Boundary Compliance](https://banes-lab.com/records/algo/modular-boundary-compliance.md) - [Contract Compatibility](https://banes-lab.com/records/algo/contract-compatibility.md) - [Domain Boundary Governance](https://banes-lab.com/records/algo/domain-boundary-governance.md) - [Runtime Extensibility](https://banes-lab.com/records/algo/runtime-extensibility.md) - [Event and Messaging Consistency](https://banes-lab.com/records/algo/event-and-messaging-consistency.md) - [State and Transaction Safety](https://banes-lab.com/records/algo/state-and-transaction-safety.md) - [Correctness Verification](https://banes-lab.com/records/algo/correctness-verification.md) - [Resilience Policy](https://banes-lab.com/records/algo/resilience-policy.md) - [Security Governance](https://banes-lab.com/records/algo/security-governance.md) - [Control Plane Coordination](https://banes-lab.com/records/algo/control-plane-coordination.md) - [Metaprogramming Safety](https://banes-lab.com/records/algo/metaprogramming-safety.md) - [Model Architecture Governance](https://banes-lab.com/records/algo/model-lifecycle-governance.md) - [Relationship Schema Validation](https://banes-lab.com/records/algo/relationship-schema-validation.md) - [Constraints Over Shortcuts](https://banes-lab.com/records/algo/no-shortcuts.md) - [Forward Compatibility Over Backward Compatibility](https://banes-lab.com/records/algo/no-backward-compat.md) - [Fail-Fast Over Fallback](https://banes-lab.com/records/algo/no-fallback.md) - [Explicit Removal Over Deprecation](https://banes-lab.com/records/algo/no-deprecation.md) - [Greenfield Over Legacy](https://banes-lab.com/records/algo/no-legacy.md) - [Single-Path Determinism Over Dual-Path](https://banes-lab.com/records/algo/no-dual-path.md) - [Immediacy Over Deferring](https://banes-lab.com/records/algo/no-deferring.md) - [Mandatory Over Optional](https://banes-lab.com/records/algo/no-optional.md) - [Now Over For-Now](https://banes-lab.com/records/algo/no-for-now.md) - [Observed Execution Over Unobserved](https://banes-lab.com/records/algo/no-unobserved.md) - [Compression Over Repetition](https://banes-lab.com/records/algo/no-uncompressed.md) - [Approved Evolution Over Unapproved](https://banes-lab.com/records/algo/no-unapproved.md) - [Enforced Feedback Over Ignored](https://banes-lab.com/records/algo/no-ignored-feedback.md) - [Single Owner Over Shared Ownership](https://banes-lab.com/records/algo/no-shared-ownership.md) - [Bounded Lifetime Over Unbounded](https://banes-lab.com/records/algo/no-unbounded.md) - [Enforced Symmetry Over Asymmetric Lifecycle](https://banes-lab.com/records/algo/no-asymmetric.md) - [Explicit Retention Over Implicit](https://banes-lab.com/records/algo/no-implicit-retention.md) - [Structural Release Over Discipline](https://banes-lab.com/records/algo/no-discipline-release.md) - [Immutable Data Over Mutable State](https://banes-lab.com/records/algo/no-mutable.md) - [Errors As Language Over Silent Errors](https://banes-lab.com/records/algo/no-silent.md) - [Explicit Invalidity Over Hidden](https://banes-lab.com/records/algo/no-hidden-invalidity.md) - [Event Emission Over Parent Callbacks](https://banes-lab.com/records/algo/no-callbacks.md) - [Monotonic Growth Over Retraction](https://banes-lab.com/records/algo/no-retraction.md) - [Semantic Addressing Over Location Addressing](https://banes-lab.com/records/algo/no-location.md) - [Ordinal Time Over Timestamps](https://banes-lab.com/records/algo/no-timestamps.md) - [Homoiconicity Over Separation](https://banes-lab.com/records/algo/no-separation.md) - [Bounded Complexity Over Unlimited](https://banes-lab.com/records/algo/no-unlimited.md) - [Computed Health Over Metric Health](https://banes-lab.com/records/algo/no-metrics.md) - [Secret Store Over Hardcoded Secrets](https://banes-lab.com/records/algo/no-hardcoded-secrets.md) - [Boundary Validation Over Unvalidated Input](https://banes-lab.com/records/algo/no-unvalidated-input.md) - [Least Privilege Over Broad Privilege](https://banes-lab.com/records/algo/no-broad-privilege.md) - [Config Externalization Over Env Fallback](https://banes-lab.com/records/algo/no-env-fallback.md) - [Profile-First Over Unmeasured Optimization](https://banes-lab.com/records/algo/no-unmeasured-optimization.md) - [Rule As Code Over Convention](https://banes-lab.com/records/algo/no-convention-enforcement.md) - [Design By Contract Over Implicit Contract](https://banes-lab.com/records/algo/no-implicit-contract.md) - [Versioned Evolution Over Breaking Change](https://banes-lab.com/records/algo/no-breaking-change.md) - [Schema-Validated Boundary Over Untyped](https://banes-lab.com/records/algo/no-untyped-boundary.md) - [Atomic Boundary Over Partial Commit](https://banes-lab.com/records/algo/no-partial-commit.md) - [Saga Compensation Over Distributed 2PC](https://banes-lab.com/records/algo/no-distributed-2pc.md) - [Async Events Over Synchronous Cross-Boundary](https://banes-lab.com/records/algo/no-sync-cross-boundary.md) - [Observable Signals Over Opaque Runtime](https://banes-lab.com/records/algo/no-opaque-runtime.md) - [Injected Dependency Over Hidden](https://banes-lab.com/records/algo/no-hidden-dependency.md) - [Convention Discovery Over Hardcoded Wiring](https://banes-lab.com/records/algo/no-hardcoded-wiring.md) - [Declarative Config Over Imperative](https://banes-lab.com/records/algo/no-imperative-config.md) - [Anti-Corruption Layer Over Cross-Context Leak](https://banes-lab.com/records/algo/no-leaky-context.md) - [Injected Nondeterminism Over Hidden](https://banes-lab.com/records/algo/no-hidden-nondeterminism.md) - [Pattern By Fit Over Speculative Pattern](https://banes-lab.com/records/algo/no-speculative-pattern.md) - [Document Truth Alignment](https://banes-lab.com/records/algo/document-truth-alignment.md) - [Interface Contract](https://banes-lab.com/records/algo/interface-contract.md) - [Substitutability](https://banes-lab.com/records/algo/substitutability.md) - [Extension Point](https://banes-lab.com/records/algo/extension-point.md) - [Behavioral Dispatch](https://banes-lab.com/records/algo/behavioral-dispatch.md) - [Port Adapter](https://banes-lab.com/records/algo/port-adapter.md) - [Transaction Boundary](https://banes-lab.com/records/algo/transaction-boundary.md) - [Idempotent Side Effect](https://banes-lab.com/records/algo/idempotent-side-effect.md) - [Deterministic Core](https://banes-lab.com/records/algo/deterministic-core.md) - [Error Boundary](https://banes-lab.com/records/algo/error-boundary.md) - [Cache Correctness](https://banes-lab.com/records/algo/cache-correctness.md) - [Security Policy](https://banes-lab.com/records/algo/security-policy.md) - [Control Plane](https://banes-lab.com/records/algo/control-plane.md) - [Model Lifecycle Governance](https://banes-lab.com/records/algo/ai-model-governance.md) - [Universal Architectural Concern Template](https://banes-lab.com/records/algo/universal-architectural-concern-template.md) - [Consumer Config SSOT](https://banes-lab.com/records/algo/consumer-config-ssot.md) - [Runtime-Neutral Automation Boundary](https://banes-lab.com/records/algo/runtime-neutral-automation-boundary.md) - [Intentional Static Separation](https://banes-lab.com/records/algo/intentional-static-separation.md) - [Extension Interface Discovery](https://banes-lab.com/records/algo/extension-interface-discovery.md) - [Performance-Aware Discovery Design](https://banes-lab.com/records/algo/performance-aware-discovery-design.md) - [Dynamic Extension Architecture](https://banes-lab.com/records/algo/dynamic-extension-architecture.md) - [Cache Invalidation Strategy](https://banes-lab.com/records/algo/cache-invalidation-strategy.md) - [Dynamic Failure Isolation](https://banes-lab.com/records/algo/dynamic-failure-isolation.md) - [Measured-vs-Estimated Validation](https://banes-lab.com/records/algo/measured-vs-estimated-validation.md) - [Architecture Validation Before Persistence](https://banes-lab.com/records/algo/architecture-validation-before-persistence.md) - [Automation Completion Status](https://banes-lab.com/records/algo/automation-completion-status.md) - [Runtime-Agnostic Adapter Boundary](https://banes-lab.com/records/algo/runtime-agnostic-adapter-boundary.md) - [Pattern Classification](https://banes-lab.com/records/algo/pattern-classification.md) - [Refactor Intent Classification](https://banes-lab.com/records/algo/refactor-intent-classification.md) - [Architecture Compliance Targeting](https://banes-lab.com/records/algo/architecture-compliance-targeting.md) - [Existing Solution Conflict](https://banes-lab.com/records/algo/existing-solution-conflict.md) - [Additive Debt Gate](https://banes-lab.com/records/algo/additive-debt-gate.md) - [Pattern-Specific Validation](https://banes-lab.com/records/algo/pattern-specific-validation.md) - [Zero-Duplication Verification](https://banes-lab.com/records/algo/zero-duplication-verification.md) - [Completion Truthfulness](https://banes-lab.com/records/algo/completion-truthfulness.md) - [Trust Anchor](https://banes-lab.com/records/algo/trust-anchor.md) - [Intent & Directionality Normalization](https://banes-lab.com/records/algo/intent-directionality-normalization.md) - [Planning Stage](https://banes-lab.com/records/algo/planning-stage.md) - [Principle Activation](https://banes-lab.com/records/algo/principle-activation.md) - [Protocol Semantic Selection](https://banes-lab.com/records/algo/protocol-semantic-selection.md) - [Loop Class Labeling](https://banes-lab.com/records/algo/loop-class-labeling.md) - [Codebase Pattern Enforcement](https://banes-lab.com/records/algo/codebase-pattern-enforcement.md) - [Validator Coverage](https://banes-lab.com/records/algo/validator-coverage.md) - [Structured Observability Context](https://banes-lab.com/records/algo/structured-observability-context.md) - [Cross-Cutting Surface Coverage](https://banes-lab.com/records/algo/cross-cutting-surface-coverage.md) - [Legacy Elimination](https://banes-lab.com/records/algo/legacy-elimination.md) - [Validation Stage](https://banes-lab.com/records/algo/validation-stage.md) - [Semantic Debt Policy](https://banes-lab.com/records/algo/semantic-debt-policy.md) - [Evidence-Based Claim Verification](https://banes-lab.com/records/algo/evidence-based-claim-verification.md) - [Validation Suite Battery](https://banes-lab.com/records/algo/validation-suite-battery.md) - [Verification Execution](https://banes-lab.com/records/algo/verification-execution.md) - [Violation Classification](https://banes-lab.com/records/algo/violation-classification.md) - [Reverification Gate](https://banes-lab.com/records/algo/reverification-gate.md) - [Evidence-Gated Claim Verification](https://banes-lab.com/records/algo/evidence-gated-claim-verification.md) - [Environment Capability Verification](https://banes-lab.com/records/algo/environment-capability-verification.md) - [Behavioral Self-Test](https://banes-lab.com/records/algo/behavioral-self-test.md) - [Adversarial Input Testing](https://banes-lab.com/records/algo/adversarial-input-testing.md) - [Safe Arithmetic Contract](https://banes-lab.com/records/algo/safe-arithmetic-contract.md) - [Type-Keyed Appearance](https://banes-lab.com/records/algo/type-keyed-appearance.md) - [Plan Phase Verification](https://banes-lab.com/records/algo/plan-phase-verification.md) - [Delta Capture](https://banes-lab.com/records/algo/delta-capture.md) - [Mode Contract Validation](https://banes-lab.com/records/algo/mode-contract-validation.md) - [PAG Handoff Gate](https://banes-lab.com/records/algo/pag-validation-gate.md) - [PAG Explicit Control Flow](https://banes-lab.com/records/algo/pag-explicit-control-flow.md) - [PAG Ambiguity Reduction](https://banes-lab.com/records/algo/pag-ambiguity-reduction.md) - [PAG Well-Formedness Validation](https://banes-lab.com/records/algo/pag-well-formedness-validation.md) - [Anti-Pattern Classification](https://banes-lab.com/records/algo/anti-pattern-classification.md) - [Abstraction Boundary Principle](https://banes-lab.com/records/algo/abstraction-boundary-principle.md) - [Base-Class Candidate Selection](https://banes-lab.com/records/algo/base-class-candidate-selection.md) - [Anti-Pattern Elimination Verification](https://banes-lab.com/records/algo/anti-pattern-elimination-verification.md) - [Completion Truthfulness](https://banes-lab.com/records/algo/pattern-distillation-completion-truthfulness.md) - [Canonical Config Resolution](https://banes-lab.com/records/algo/canonical-config-resolution.md) - [Machine Verdict Derivation](https://banes-lab.com/records/algo/machine-verdict-derivation.md) - [Concern Classification](https://banes-lab.com/records/algo/concern-classification.md) - [Discovery Verification](https://banes-lab.com/records/algo/discovery-verification.md) - [Taxonomy Completion](https://banes-lab.com/records/algo/taxonomy-completion.md) - [Uncovered Gap Derivation](https://banes-lab.com/records/algo/uncovered-gap-derivation.md) - [Evidence Verdict](https://banes-lab.com/records/algo/evidence-verdict.md) - [Coverage Completion](https://banes-lab.com/records/algo/coverage-completion.md) ## referenced-by - [Reasoning](https://banes-lab.com/records/reason/axis-reasoning.md) - [Verification](https://banes-lab.com/records/reason/axis-verification.md) - [Ont Meaning](https://banes-lab.com/records/reason/node-ont-meaning.md) - [Ana Sequential](https://banes-lab.com/records/reason/node-ana-sequential.md) - [Ana Semantic](https://banes-lab.com/records/reason/node-ana-semantic.md) - [Rea Description](https://banes-lab.com/records/reason/node-rea-description.md) - [Rea Comparison](https://banes-lab.com/records/reason/node-rea-comparison.md) - [Ver Evidence](https://banes-lab.com/records/reason/node-ver-evidence.md) - [Ver Ground Truth](https://banes-lab.com/records/reason/node-ver-ground-truth.md) - [Ver Falsification](https://banes-lab.com/records/reason/node-ver-falsification.md) - [Ver Refutation](https://banes-lab.com/records/reason/node-ver-refutation.md) - [Ver Standing](https://banes-lab.com/records/reason/node-ver-standing.md) - [Ver Refusal](https://banes-lab.com/records/reason/node-ver-refusal.md) - [Ter Block](https://banes-lab.com/records/reason/node-ter-block.md) - [Ter Publication](https://banes-lab.com/records/reason/node-ter-publication.md) - [Difference](https://banes-lab.com/records/reason/substrate-node-difference.md) - [Difference](https://banes-lab.com/records/reason/substrate-node-difference.md) - [Sequential](https://banes-lab.com/records/reason/lens-sequential.md)