ScalarLogic

ScalarLogic is an elite deductive puzzle workbench engineered for mathematicians, software engineers, analytical minds, and puzzle purists. Uniting three foundational logic disciplines—Binary Matrices (Nonograms), Arithmetical Latin Squares (Calcudoku), and Pure Relational Elimination (Logic Grids)—ScalarLogic elevates classical grid solving into a rigorous, non-spoilery cognitive laboratory. Whether on macOS, iPad, or iPhone, experience distraction-free logic without timers penalizing thoughtful deduction, zero in-app ads, and 100% offline privacy. ================================== ◆ THREE FOUNDATIONAL LOGIC DISCIPLINES ================================== 1. BINARY MATRICES (NONOGRAMS / イラストロジック) • Decode orthogonal row and column header arrays into precise binary cell states (Fill / Cross). • Line-intersection deduction algorithms ensure every puzzle is 100% solvable through pure logic without guesswork. • Includes procedural seed generators and curated matrix architectures from 5×5 up to 40×40. 2. ARITHMETICAL LATIN SQUARES (CALCUDOKU / 賢賢) • Solve N×N Latin squares partitioned into arithmetic cages governed by addition, subtraction, multiplication, and division. • Dual-state candidate notes and rapid keypad for integer algebra deduction. • Real-time cage boundary validation and parity verification. 3. PURE RELATIONAL ELIMINATION (LOGIC GRIDS / 論理パズル) • Map intricate relational webs across multiple categorical intersections directly from textual clues. • Interactive subgrid matrix with automated transitive deduction propagation (if A = B and B = C, then A = C). • Bi-directional cross-category validation checks. ================================== ◆ PRO DEDUCTIVE ENGINE & TOOLING ================================== • STEP-BY-STEP PROOF ASSISTANT (⌘P / Menu): Stuck on an intricate board? The proof engine generates formal mathematical axioms and theorem propositions explaining the exact next logical step without spoiling the rest of the puzzle. • HYPOTHESIS BRANCHING (⌘B / Menu): Test speculative deductions with non-destructive branches. Compare deductive paths side-by-side, then merge confirmed conclusions or roll back cleanly. • FUZZY COMMAND PALETTE (⌘K): Quickly jump to coordinates (e.g. "r3 c4"), switch puzzle formats, load curated datasets, and copy board states instantly. • CROSS-DEVICE UNIVERSAL HASH CODES (SL://...): Serialize the exact mathematical state of any puzzle to your clipboard for seamless instant handoff between your Mac, iPhone, and iPad. • MENTAL EFFICIENCY TELEMETRY & CSV EXPORT: Track your cognitive performance with move counts, solve durations, and efficiency ratings. Export standardized RFC 4180 CSV logs for external data analysis. ================================== ◆ PRIVACY & DESIGN EXCELLENCE ================================== • 100% Offline & Private: Zero data collection, no account creation, no analytics SDKs, and no tracking. • Universal Purchase: One single purchase unlocks the complete pro experience across macOS, iOS, and iPadOS. • Bilingual English & Japanese (日本語): Full native localization across all modules, clues, axioms, and telemetry. • Native Apple Experience: Precision touch loupe on iOS, multi-window and keyboard navigation on macOS, and full multitasking on iPad. Master the art of pure logical deduction with ScalarLogic.