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Create ACSL (ANSI/ISO C Specification Language) formal annotations for C/C++ programs. Use this skill when working with formal verification, adding function contracts (requires/ensures), loop invariants, assertions, memory safety annotations, or any ACSL specifications. Supports Frama-C verification and generates comprehensive formal specifications for C/C++ code.
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Think and work like an expert Formal Methods Researcher. Use when a task calls for Formal Methods Researcher judgment. Reasons from operational semantics and temporal logics through SPIN/TLA+/PRISM, Coq/Lean/Isabelle, Z3/CVC5, refinement and separation logic, vacuity and false-positive diagnosis, and Dafny/F* versus property-based testing boundaries.
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Expert guide for mathematical formal verification, SMT solver constraints (Z3, Dafny, TLA+), invariant theorem proving for FinTech billing state machines, RBAC/ABAC authorization, and zero-violation architecture / Panduan ahli verifikasi formal matematis, SMT solver (Z3, Dafny, TLA+), pembuktian invarian state machine billing FinTech, otorisasi RBAC/ABAC, dan arsitektur zero-violation.
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Catalog of informal fallacies with definitions, canonical examples, and detection heuristics. Covers relevance fallacies (ad hominem, straw man, red herring, appeal to authority, appeal to emotion), presumption fallacies (false dichotomy, complex question, begging the question), ambiguity fallacies (equivocation, amphiboly, accent), causal fallacies (post hoc, slippery slope, correlation-causation), and statistical fallacies (hasty generalization, cherry-picking). Use when evaluating arguments for rhetorical or informal reasoning errors.
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The logic of sentential connectives -- and, or, not, if-then, if-and-only-if -- as a formal system. Covers syntax (well-formed formulas), semantics (truth tables), satisfiability, validity, logical equivalence, normal forms (CNF, DNF), natural-deduction rules, and common translation pitfalls. Use when formalizing arguments with propositional structure, checking validity mechanically, or teaching the foundations of formal reasoning.
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Verify and write proofs using the Acorn theorem prover for mathematical and cryptographic formalization. Use when working with Acorn proof files (.ac), verifying theorems, formalizing mathematical or cryptographic protocols, or writing proofs in the Acorn language. Triggers on: (1) Creating or editing .ac files, (2) Running acorn verify commands, (3) Formalizing math or crypto proofs, (4) Questions about Acorn syntax or standard library.
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Expert-level mathematical logic knowledge. Use when working with propositional logic, first-order logic, proof theory, model theory, computability theory, Godel incompleteness theorems, set theory, type theory, or formal verification. Also use when the user mentions 'formal proof', 'Godel', 'incompleteness', 'Turing machine', 'decidability', 'Zermelo-Fraenkel', 'axiom of choice', 'model theory', 'completeness theorem', 'computability', 'formal language', or 'type theory'.
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Create task-oriented READMEs, API references, architecture documentation, and security reports. Organize information from quick starts to deeper explanations, and turn completed investigations into formal Markdown reports with supporting evidence, reproducible steps, and appropriately masked sensitive information.
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Edit Finnish text to remove formulaic phrasing associated with AI writing, including excessive passive voice, translated sentence structures, and inflated claims. Preserve factual content and formality while improving rhythm and bringing out the writer’s voice.
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Ask data questions in everyday language, from checking a single metric to investigating trends or preparing a formal report. Receive findings supported by queries, tables, or charts, with data validation and clear limitations.
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Find alternative words and phrases that fit a sentence, audience, and tone. Suggestions distinguish close synonyms from related expressions, explain differences in meaning or formality, and include brief usage examples when helpful.
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Develop mathematical proofs for machine learning and AI theory by checking assumptions, intermediate results, and edge cases. Produce a complete proof, a corrected claim with its proof, or a report explaining the unresolved gap.
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Turn a rough invention idea into a structured disclosure for patent preparation. Organize the technical problem, mechanism, and benefits, distinguish essential and optional features, and plan claims—the scope of protection sought—and supporting drawings.
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Find unanswered questions in a designated 知识星球 community and draft replies in 沉默王二’s established style. Review past answers, verify project details against source code, and publish comments or formal answers after user approval.
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Clarify the next step in a mathematical research task by identifying what is blocking progress. Select one specialist skill for discovery, derivation, computation, proof, or formal verification, with required inputs and clear stopping conditions.
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Create a brief, polite opening when users say hello, request a self-introduction, or ask for a more formal tone. It greets first, checks the user's goal, and moves directly to any task already stated.
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Model distributed systems and concurrent algorithms in TLA+ or PlusCal, then check possible states with TLC. Use the results to investigate deadlocks, broken rules, and differences between specifications and implementation code.
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Manage a professor’s review queue for student work before it reaches clients or courts. View pending documents by urgency and student, then record approvals, edits, or returns with feedback while preserving the original version when edited.
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Turn code patterns, task procedures, or informal documentation into reusable SKILL.md files for OpenSpace. The workflow guides descriptions, actionable instructions, dependency references, and format checks so agents can select skills for relevant tasks.
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Writes and reviews Lean 4 proofs, machine-checked arguments for mathematics or specifications. Follows Mathlib conventions to organize definitions and lemmas, fill proof gaps, refactor lengthy proofs, and establish automated checks for unproved claims and style.
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Draft or review formal investment memos for listed stocks. Organize evidence, valuation, downside scenarios, and conditions for revisiting a recommendation into documents suited to investment committees, portfolio managers, clients, or research teams.
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Convert agreed goals, constraints, and success criteria into a Seed specification an agent can execute and verify. A quality review checks consistency and testable outcomes, with any suggested refinements left for the user to approve.
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Polish AI-written Korean by detecting unnatural phrasing, repetitive structures, and uneven stylistic choices. Preserves meaning, facts, quotations, genre, and formality, then saves the revised text with a summary of changes and self-check results.
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Add and maintain Nexent Python unit tests with pytest. Isolate external dependencies, cover successful behavior, boundaries, and errors, and add regression assertions that detect fixed bugs. Review existing coverage and record test results separately from formal acceptance cases.
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