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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 <command> [arguments]\n\n" ++
"Commands:\n" ++
" init <dir> Create a new knowledge base repository.\n" ++
" add type <name> [extends <p>] Define a new type.\n" ++
" add instance <name> : <type> Declare an instance.\n" ++
" add prop <name> : <d> -> <r> Add a property.\n" ++
" add rel <name> : <d1> -> <d2> -> Prop Add a relation.\n" ++
" add fact <fact> Add a fact.\n" ++
" add rule <name> : <statement> Add a logical rule.\n" ++
" add def <name> <params> : <t> := <body> Define a shortcut.\n" ++
" rm <name> Remove a declaration.\n" ++
" list <types|instances|props|rels|facts|defs> [of <filter>] List.\n" ++
" show def <name> Show a shortcut definition.\n" ++
" eval <expr> Evaluate a computable expression.\n" ++
" query <prop> Ask whether a proposition is provable.\n" ++
" check Run `lake build` to verify consistency.\n" ++
" commit <message> 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
|