import Lean open Lean IO -------------------------------------------------------------------------------- -- 1. Data structures for commands and knowledge base state -------------------------------------------------------------------------------- inductive KBCommand where | Init (dir : String) | AddType (name : String) (parent : Option String) | AddInstance (name : String) (typeName : String) | AddProp (name : String) (domain : String) (range : String) | AddRel (name : String) (dom1 : String) (dom2 : String) | AddFact (fact : String) | AddRule (name : String) (statement : String) | AddDef (name : String) (params : String) (type : String) (body : String) | Remove (name : String) | List (what : String) (filter : Option String) | ShowDef (name : String) | Eval (expr : String) | Query (prop : String) | Check | Commit (msg : String) | Status | Domains -- new: show domain hierarchy | DomainsStats -- new: show statistics per domain (stub) | Help | Exit deriving Repr structure KBState where root : System.FilePath -------------------------------------------------------------------------------- -- 2. Command parsing (simple, based on whitespace) -------------------------------------------------------------------------------- def parseCommand (line : String) : Option KBCommand := let parts := line.trim.splitOn " " |>.filter (not ∘ String.isEmpty) match parts with | ["init", dir] => some (.Init dir) | ["add", "type", name] => some (.AddType name none) | ["add", "type", name, "extends", parent] => some (.AddType name (some parent)) | ["add", "instance", name, ":", typeName] => some (.AddInstance name typeName) | ["add", "prop", name, ":", domain, "->", range] => some (.AddProp name domain range) | ["add", "rel", name, ":", dom1, "->", dom2, "->", "Prop"] => some (.AddRel name dom1 dom2) | ["add", "fact", _] => some (.AddFact (line.drop 9)) -- drop "add fact " | ["add", "rule", name, ":", _] => let n := 9 + name.length + 2 some (.AddRule name (line.drop n)) | ["add", "def", name, params, ":", type, ":=", body] => some (.AddDef name params type body) | ["rm", name] => some (.Remove name) | ["list", what] => some (.List what none) | ["list", what, "of", filter] => some (.List what (some filter)) | ["show", "def", name] => some (.ShowDef name) | ["eval", expr] => some (.Eval expr) | ["query", prop] => some (.Query prop) | ["check"] => some .Check | ["commit", msg] => some (.Commit msg) | ["status"] => some .Status | ["domains"] => some .Domains -- new | ["domains", "stats"] => some .DomainsStats -- new | ["help"] => some .Help | ["exit"] => some .Exit | _ => none -------------------------------------------------------------------------------- -- 3. Handlers (stubs with informative output) -------------------------------------------------------------------------------- def addType (name : String) (parent : Option String) : IO Unit := do let parentMsg := match parent with | some p => s!" extending '{p}'" | none => "" println s!"[Stub] Adding type '{name}'{parentMsg}" println " Would append to appropriate .lean file and run `lake build`." def addInstance (name : String) (typeName : String) : IO Unit := do println s!"[Stub] Adding instance '{name} : {typeName}'" def addProp (name domain range : String) : IO Unit := do println s!"[Stub] Adding property '{name} : {domain} -> {range}'" def addRel (name dom1 dom2 : String) : IO Unit := do println s!"[Stub] Adding relation '{name} : {dom1} -> {dom2} -> Prop'" def addFact (fact : String) : IO Unit := do println s!"[Stub] Adding fact: {fact}" def addRule (name stmt : String) : IO Unit := do println s!"[Stub] Adding rule '{name} : {stmt}'" def addDef (name params type body : String) : IO Unit := do println s!"[Stub] Adding definition '{name} {params} : {type} := {body}'" def removeDecl (name : String) : IO Unit := do println s!"[Stub] Removing declaration '{name}' (checking dependencies)" def listDecls (what : String) (filter : Option String) : IO Unit := do let filterMsg := match filter with | some f => s!" of {f}" | none => "" println s!"[Stub] Listing {what}{filterMsg}" def showDef (name : String) : IO Unit := do println s!"[Stub] Showing definition of '{name}'" def evalExpr (expr : String) : IO Unit := do println s!"[Stub] Evaluating: {expr}" println " Would run `#eval` in a temporary Lean file and return result." def queryProp (prop : String) : IO Unit := do println s!"[Stub] Querying: {prop}" println " Would attempt to prove with `aesop` and return Yes/No/Unknown." def checkKB : IO Unit := do println "Running `lake build` to verify knowledge base..." let child ← IO.Process.spawn { cmd := "lake", args := #["build"] } let exitCode ← child.wait if exitCode == 0 then println "Consistent (build succeeded)." else println "Inconsistent! Build failed." def commitChanges (msg : String) : IO Unit := do println s!"[Stub] Committing with message: {msg}" println " Would run `git add . && git commit -m \"...\"` after `kb check`." def status : IO Unit := do println "[Stub] Showing git status and unverified changes." def initKB (dir : String) : IO Unit := do println s!"[Stub] Initializing new knowledge base in '{dir}'" println " Would create directory structure and lakefile.lean." -------------------------------------------------------------------------------- -- 4. Domain hierarchy (extracted from the original help text) -------------------------------------------------------------------------------- def domainHierarchy : String := "Domain classification (initial curated structure):\n" ++ "- Mathematics\n" ++ " • Elementary Math (Arithmetic, Fractions, Percentages)\n" ++ " • Algebra\n" ++ " • Geometry (Plane, Solid, Coordinate, Transformations, High‑D, Packing, Curves, Polyforms, Topology, Tilings)\n" ++ " • Plotting (Functions, Equations, Parametric, Inequalities, Number Lines, Polar)\n" ++ " • Calculus (Integrals, Derivatives, Limits, Sequences, Products, Series, Sums, Vector Analysis, Transforms, Applications, Continuity, Domain/Range)\n" ++ " • Differential Equations\n" ++ " • Statistics (Descriptive, Inference, Regression, Random Variables)\n" ++ " • Functions (Domain/Range, Injectivity/Surjectivity, Continuity, Periodic, Odd/Even, Special, Number Theoretic, Representation)\n" ++ "- Science & Technology\n" ++ " • Physics (Mechanics, Oscillations, Statistical Physics, Thermodynamics, Electricity & Magnetism, Optics, Relativity, Nuclear, Quantum, Particle, Astrophysics, Constants, Principles, Effects, Fluid Mechanics)\n" ++ " • Chemistry\n" ++ " • Units & Measures\n" ++ " • Engineering (Aerospace, Energy, Electrical, Control Systems, Mechanical, Civil, Fluid Mechanics, Sound, Steam Tables, Measurement)\n" ++ " • Computational Sciences (Cellular Automata, Substitution Systems, Turing Machines, Complexity, Algebraic Codes, Fractals, Image Processing, Hashing)\n" ++ " • Earth Sciences\n" ++ " • Life Sciences (Human Anatomy, Animal Anatomy, Neuroscience, Genomics, Molecular Biology, Animals & Plants)\n" ++ " • Space & Astronomy\n" ++ "- Society & Culture\n" ++ " • People\n" ++ " • Arts & Media\n" ++ " • History\n" ++ " • Words & Linguistics (Word Properties, Languages, Document Length, Notable Texts, Transliterations, Morse, Soundex, Encodings, Emotions)\n" ++ " • Money & Finance (Stock Data, Mortgages, Salaries, Bonds, Derivatives, Income Tax, Sales Tax)\n" ++ " • Dates & Times\n" ++ " • Food & Nutrition\n" ++ " • Demographics (Health, Age/Sex, Gender, Business, Citizenship, Crime, Education, Income, Language, Race, Marriage, Mobility, Religion, Military, HDI)\n" ++ "- Everyday Life\n" ++ " • Personal Health (Exercise, Nutrition, Child Growth)\n" ++ " • Personal Finance (Mortgages, Stocks, Currency, Cost of Living, Gas, Food, Electricity)\n" ++ " • Entertainment\n" ++ " • Household Science\n" ++ " • Household Math\n" ++ " • Programming\n" ++ " • Hobbies\n" ++ " • Today's World (Economy, Finland Economy, Weather)\n" -------------------------------------------------------------------------------- -- 5. Help text (now includes the new commands) -------------------------------------------------------------------------------- def helpText : String := "Lean4 Knowledge Base CLI (kb)\n" ++ "Usage: kb [arguments]\n\n" ++ "Commands:\n" ++ " init Create a new knowledge base repository.\n" ++ " add type [extends

] Define a new type.\n" ++ " add instance : Declare an instance.\n" ++ " add prop : -> Add a property.\n" ++ " add rel : -> -> Prop Add a relation.\n" ++ " add fact Add a fact.\n" ++ " add rule : Add a logical rule.\n" ++ " add def : := Define a shortcut.\n" ++ " rm Remove a declaration.\n" ++ " list [of ] List.\n" ++ " show def Show a shortcut definition.\n" ++ " eval Evaluate a computable expression.\n" ++ " query Ask whether a proposition is provable.\n" ++ " check Run `lake build` to verify consistency.\n" ++ " commit Commit all changes.\n" ++ " status Show git status.\n" ++ " domains Show the hierarchical domain classification.\n" ++ " domains stats Show statistics per domain (stub).\n" ++ " help Show this help.\n" ++ " exit Exit the CLI.\n" -------------------------------------------------------------------------------- -- 6. Domain command handlers -------------------------------------------------------------------------------- def listDomains : IO Unit := do println domainHierarchy def domainsStats : IO Unit := do println "[Stub] Domain statistics (would show counts of types/instances per domain)" -------------------------------------------------------------------------------- -- 7. Main loop -------------------------------------------------------------------------------- partial def processCommand (stateRef : IO.Ref KBState) (line : String) : IO Unit := do let _ := stateRef -- silence unused warning match parseCommand line with | none => println "Invalid command. Type 'help' for usage." | some cmd => match cmd with | .Init dir => initKB dir | .AddType name parent => addType name parent | .AddInstance name ty => addInstance name ty | .AddProp name dom ran => addProp name dom ran | .AddRel name d1 d2 => addRel name d1 d2 | .AddFact fact => addFact fact | .AddRule name stmt => addRule name stmt | .AddDef name params ty body => addDef name params ty body | .Remove name => removeDecl name | .List what filt => listDecls what filt | .ShowDef name => showDef name | .Eval expr => evalExpr expr | .Query prop => queryProp prop | .Check => checkKB | .Commit msg => commitChanges msg | .Status => status | .Domains => listDomains | .DomainsStats => domainsStats | .Help => println helpText | .Exit => throw (IO.userError "exit") partial def main : IO Unit := do println "Lean4 Knowledge Base CLI" println "Type 'help' for commands." let initialState : KBState := { root := System.FilePath.mk "." } let stateRef ← IO.mkRef initialState let rec loop : IO Unit := do IO.print "kb> " let line ← (← IO.getStdin).getLine let trimmed := line.trim if trimmed.isEmpty then loop else try processCommand stateRef trimmed if trimmed == "exit" then return () else loop catch e => if e.toString == "exit" then return () else do println s!"Error: {e}" loop loop