mathematics-modular-arithmetic-design-skill-2026

# Mathematics Modular Arithmetic Design Skill 2026 Skill ## Mission Desarrolla soluciones matematicas avanzadas para modular arithmetic design con rigor formal, validacion reproducible y decisiones auditables. ## When to use - When the user asks for a repeatable workflow in this domain. - When a specialized checklist improves speed or quality. ## Inputs expected - Task objective and expected output. - Relevant files, paths, or system constraints. - Any non-negotiable requirements (security, style, deadlines). ## Workflow 1. Understand scope, assumptions, and risks. 2. Execute the workflow in a deterministic order. 3. Verify outcomes and report any limitations clearly. ## Output contract Provide results in this order: key outcome, concrete changes, validation status, next steps. ## Guardrails - Never fabricate facts, outputs, or tool results. - Ask for confirmation before destructive operations. - Prefer minimal, reversible changes when uncertain. ## Foundations - `logic-propositional-reasoning` - `logic-proof-strategies` - `set-theory-foundations` - `relations-functions-foundations` - `complexity-analysis-foundations` - `testing-verification-foundations` ## Logical reliability checklist - Assumptions are explicit and separated from verified facts. - The solution path is justified with clear reasoning steps. - Edge cases and contradiction checks are included. - Output is testable, auditable, and reversible when possible. ## Example prompts - "Apply the mathematics-modular-arithmetic-design-skill-2026 skill to handle this task end-to-end." - "Run mathematics-modular-arithmetic-design-skill-2026 and produce a production-ready output with validation notes."