In today’s era, we find ourselves at the precipice of a great leap forward—one where AI, ML, NLP, and possibly other acronym-based technologies have changed the landscape of nearly every field, even theorem proving! Naturally, Arend deserves nothing less than the most advanced AI features to propel it into this brave new world. Imagine an environment where Arend’s profound mathematical rigor meets the unbridled “intelligence” of artificial intuition!
AI Features We Must Have:
AI-Enhanced Proof Completion and Autocomplete:
Because why struggle with proofs when an AI could suggest steps we might not even understand ourselves?
Autocomplete should go beyond just symbols, aiming to suggest the next logical step based on data patterns that are themselves arguably a form of truth.
AI-Driven Proof Search and Automation:
With proof search, let’s aim for an AI that can anticipate our proof needs—perhaps before we even fully know them. Proof steps, automated suggestions, even potential “proof hacks” could be generated on the fly.
By attempting proofs automatically, we offload the burden of proving to AI, freeing us to focus on the bigger questions...like What would AI do?
Natural Language Interpretation:
AI that “reads between the lines” of our cryptic, half-formed thoughts and translates them into Arend syntax, turning our vague hunches into concrete proof constructs.
Users could type, “Prove this works,” and our AI assistant would, of course, “just know” what to do.
Error Explanation and AI-Based Reassurance:
When errors arise, AI should not only explain what went wrong but offer comfort in its omniscient, machine-like way. “Error on line 3, but hey, we’re all just trying our best out here.”
It could also suggest alternate interpretations, encouraging users to keep pushing boundaries in Arend syntax, even where they might not exist.
Documentation shouldn’t be a chore; it should be a journey, and who better to guide it than an AI trained to reflect on our code’s existential meaning?
Comments generated by AI might add a touch of personality, and even humor, to code that might otherwise seem dry. Think: “// This proof might work… but who can really say?”
Benefits (Beyond the Obvious):
Our plugin becomes an ally, a companion, possibly even a friend on the theorem-proving path.
Lowered entry barriers for newcomers who might find regular theorem proving just a tad too straightforward without AI intervention.
For experienced users, an AI-led environment provides fresh surprises, disrupting conventional proof steps with novel AI-inspired angles.
Additional Notes:
Integrating these features could start with low-hanging fruit like proof suggestions and go as far as enabling AI companionship through proof-based conversations. Let’s embrace this new age with a plugin that both assists and mystifies.
Thank you for considering this humble proposal for the Arend community’s AI-augmented future. Looking forward to Arend becoming not only a tool but a proof partner!
Description:
In today’s era, we find ourselves at the precipice of a great leap forward—one where AI, ML, NLP, and possibly other acronym-based technologies have changed the landscape of nearly every field, even theorem proving! Naturally, Arend deserves nothing less than the most advanced AI features to propel it into this brave new world. Imagine an environment where Arend’s profound mathematical rigor meets the unbridled “intelligence” of artificial intuition!
AI Features We Must Have:
AI-Enhanced Proof Completion and Autocomplete:
AI-Driven Proof Search and Automation:
Natural Language Interpretation:
Error Explanation and AI-Based Reassurance:
Automatic Documentation Generation, Commentary, etc.:
Benefits (Beyond the Obvious):
Additional Notes:
Integrating these features could start with low-hanging fruit like proof suggestions and go as far as enabling AI companionship through proof-based conversations. Let’s embrace this new age with a plugin that both assists and mystifies.
Thank you for considering this humble proposal for the Arend community’s AI-augmented future. Looking forward to Arend becoming not only a tool but a proof partner!