things that are in here:

## general things

### [Logic.Parse](Parse.hs)

- generic sequence parser

### [Logic.Graph](Graph.hs)

- generic breadth-first search
- verify graph paths reach the goal and have all extant edges

## statement things

### [Logic.Statement.Parse](Statement/Serialize.hs)

- parse string -> statement
- serialize a statement -> plaintext, LaTeX

### [Logic.Language.Impl.L](Language/Impl/L.hs)

- serialize a statement -> L (the formal language)
- parse L (the formal language) string -> statement

## semantic statement things

### [Logic.Statement.Eval](Statement/Eval.hs)

- assign truth values and evaluate statements
- determine tautology, contradiction, or contingent

### [Logic.Statement.Serialize](Statement/Serialize.hs)

- generate a LaTeX truth table from a statement

## syntactic things

### [Logic.Statements.Laws](Statements/Laws.hs)

- match/replace patterns in statements (e.g. logical laws)
- verify logical-law equivalence of statements
- find logical-law equivalence of statements with breadth-first search (slow)

### [Logic.Language](Language.hs)

- implement formal languages (symbols, axioms schemas, and inference rules)
  with a clunky api, see also
  <https://en.wikipedia.org/wiki/Post_canonical_system>

### [Logic.Language.Derivation](Language/Derivation.hs)

- verify derivations in formal languages

### formal languages

- [the MIU system](Language/Impl/MIU.hs) (from "Gödel, Escher, Bach")
- [L](Language/Impl/L.hs)