UNASSISTED COGNITIVE RECONSTRUCTION • ZERO MULTIPLE-CHOICE

Stop recognizing answers. Start reconstructing them.

Most study tools test whether you can spot an answer in a list. OctaveRecall tests whether you can derive the code and conceptual proofs from a blank slate. Review right before you forget, and stability doubles across harmonic octave intervals.

Start Learning→Explore Workbench ↓
Harmonic Retention Model
FSRS v4 Mathematical Invariant
100%90%90% Trigger0%Day 0Day 1Day 4Day 12Day 32 (8va)Without Recall: -35%
Memory Stability (S):14.5 days
Elapsed Days (t):14.5 days
R(t): 90.0%
90% Horizon: 14.5d
✛TOPOLOGICAL CURRICULA // DIRECTED ACYCLIC GRAPHS

Curricula are Graphs, Not Linear Decks

Traditional flashcard apps shuffle cards in isolation. OctaveRecall structures knowledge as a directed acyclic graph topologically sorted via Kahn's algorithm. Foundations strictly gate downstream challenges.

TIER 1 • MASTERED (98%)
Memory Barriers
Acquire-release fences & compiler barriers.
TIER 2 • RETAINED (94%)
Atomic Flags & CAS
Compare-and-swap loops & atomic test-and-set.
TIER 3 • ACTIVE TARGET (89%)
Spinlock Safety
Mutual exclusion without happens-before race bugs.
TIER 4 • LOCKED (R ≥ 90%)
Lock-Free Queue
Gated until Spinlock reaches 90% retrievability.
TOPOLOGICAL SORTING

Curricula are resolved as acyclic prerequisite graphs. Concepts cannot be presented until their parent fundamentals have been proven.

INVARIANT GATING

Downstream challenges remain locked until foundation retrievability R ≥ 90%. No guessing, no premature advances into complex material.

AUTONOMOUS REMEDIATION

Misconceptions in foundational proofs automatically branch the queue into Tier 1 remediation challenges without penalizing existing progress.

✛03 // RECONSTRUCTION WORKBENCH // ZERO MULTIPLE-CHOICE GUESSING

The Reconstruction Workbench

Direct unassisted reconstruction without guessing from options. Contrast master-level exemplar solutions with flawed attempts to see how semantic rubrics diagnose prerequisite gaps.

Decay Horizon: Day 0100% R
✓ATTEMPT A // MASTER-LEVEL EXEMPLAR RECONSTRUCTION
SCORE: 98% (HIGH MASTERY)
TOPIC: C11 STDATOMIC SPINLOCK & ACQUIRE-RELEASE INVARIANTSspinlock.c
#include <stdatomic.h>

// Lock acquisition with acquire memory order
void spinlock_acquire(atomic_flag *lock) {
    // Acquire order: ensures subsequent critical-section reads and writes
    // cannot be reordered before this atomic test-and-set operation.
    while (atomic_flag_test_and_set_explicit(lock, memory_order_acquire)) {
        #if defined(__x86_64__) || defined(_M_X64)
        __builtin_ia32_pause(); // yield pipeline execution slot to reduce bus contention
        #endif
    }
}

// Lock release with release memory order
void spinlock_release(atomic_flag *lock) {
    // Release order: guarantees all prior memory operations in the
    // critical section are visible to other threads before clearing.
    atomic_flag_clear_explicit(lock, memory_order_release);
}
SEMANTIC RUBRIC VERIFICATION
✓
Acquire-Release Semantics Verified
Synchronizes-with relation established between release unlock and subsequent acquire lock.
✓
Progress Guarantee Satisfied
Zero spurious wake deadlock; memory barriers prevent instruction reordering.
✓
Prerequisite Reconstruction Intact
All upstream DAG dependency concepts properly integrated without logical gaps.
STABILITY GROWTH:S: 2.4d → 12.1d (+404%)
DIAGNOSTIC GAP & REMEDIATION DEMO
✗ATTEMPT B // FLAWED SUBMISSION WITH DIAGNOSTIC GAP
SCORE: 28% (REMEDIATION TRIGGERED)
CHALLENGE: C11 STDATOMIC SPINLOCK & ACQUIRE-RELEASE INVARIANTSspinlock.c
#include <stdatomic.h>

// Flawed: relaxed ordering provides no memory synchronization!
void spinlock_acquire(atomic_flag *lock) {
    while (atomic_flag_test_and_set_explicit(lock, memory_order_relaxed)) {
        // busy spin without barrier
    }
}

void spinlock_release(atomic_flag *lock) {
    atomic_flag_clear_explicit(lock, memory_order_relaxed);
}
⚠️ INVARIANT VIOLATION:Uses memory_order_relaxed for synchronization; relaxed ordering guarantees only individual variable atomicity, not memory visibility order, allowing critical-section memory operations to leak outside the lock.
DIAGNOSTIC MISCONCEPTION ANALYSIS
✗
Happens-Before Barrier Violation
Uses memory_order_relaxed for synchronization; relaxed ordering guarantees only individual variable atomicity, not memory visibility order, allowing critical-section memory operations to leak outside the lock.
🔗 TOPOLOGICAL PREREQUISITE GAP IDENTIFIED:
Prerequisite Gap: C11/C++20 Acquire-Release Semantics & Happens-Before Edges (Tier 2)
Critical concurrency failure. memory_order_relaxed enforces atomicity on the flag itself but establishes NO happens-before relation. The compiler and CPU out-of-order execution engine are permitted to reorder critical section memory writes outside the lock, causing silent data races on multi-core systems.
SCHEDULING ACTION:Targeted Review at Day 1.0 (Reset)