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README.md

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+# KRIPKE
+
+## Setup
+
+To install dependencies:
+
+```bash
+bun install
+```
+
+To run:
+
+```bash
+bun run index.ts
+```
+
+This project was created using `bun init` in bun v1.1.33. [Bun](https://bun.sh) is a fast all-in-one JavaScript runtime.
+
+## Rules
+
+* A Kripke frame with 4 worlds are generated,
+* You have a total of 10 moves. In each move you can do one of the following:
+    - Enter a modal formula.
+      - The game tells you in how many worlds the formula is valid (for every valuation).
+    - Guess the Kripke frame.
+      - If your frame is equal or isomorphic to the secret frame, you win.
+* You lose when you run out of moves.
+
+A typical gameplay looks like this:
+```
+Run !help for available commands.
+A new Kripke frame is created! It has 4 worlds and 4 relations.
+[10] Lp -> p
+valid in 1 worlds, invalid in the rest.
+[9] ~L0
+valid in 3 worlds, invalid in the rest.
+[8] ML0
+valid in 1 worlds, invalid in the rest.
+[7] (Lp -> p) & ML0
+invalid.
+[6] M(Lp -> p) & ML0
+invalid.
+[5] M(Lp -> p)
+valid in 2 worlds, invalid in the rest.
+[4] !guess aRa, bRc, bRd, dRa
+incorrect.
+[3] !guess aRa, bRc, dRa, dRb
+incorrect.
+[2] !guess aRa, bRc, dRa, dRc
+incorrect.
+[1] !guess aRa, bRc, dRa, aRd
+correct! congratuations!!
+id: 389
+a ==> a
+a ==> c
+b ==> d
+c ==> a
+```
+
+## Syntax
+
+See `syntax.ts` for details.
+
+### Formulae
+
+You may use the following symbols:
+* propositional variables, `p`, `q`, `r`, `s` (four are enough)
+* verum: `T`, `⊤`, `1`, `\top`
+* falsum: `F`, `⊥`, `0`, `\bot`
+* negation: `~`, `¬`, `\neg`, `\lnot`
+* box modality: `[]`, `□`, `L`, `\Box`
+* diamond modality: `<>`, `⋄`, `M`, `\Diamond`
+* conjunction: `&`, `^`, `∧`, `\wedge`, `\land`
+* disjunction: `|`, `v`, `∨`, `\vee`, `\lor`
+* implication: `->`, `→`, `\rightarrow`, `\to`, `\implies`
+* equivalence: `<->`, `↔`, `\leftrightarrow`, `\iff`
+* parentheses: `(`, `)`
+
+All operators are right associative.
+
+### Frames
+
+You may use the following symbols:
+* worlds: `a`, `b`, `c`, `d`
+* accessibility relation: `R`, `<`, `≺`, `\prec`
+* comma: `,` (to separate relations)
+
+## License
+
+MIT