Theorems · Definition · computer science
ContextFreeGrammar.Derives
{T : Type u_1} → (g : ContextFreeGrammar T) → List (Symbol T g.NT) → List (Symbol T g.NT) → PropGiven a context-free grammar g and strings u and v
g.Derives u v means that g can transform u to v in some number of rewriting steps.
- Defined in
- Mathlib.Computability.ContextFreeGrammar
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Relation.ReflTransGenproof · cited by 104
- Symbolstatement · cited by 47
- ContextFreeGrammarstatement and proof · cited by 39
- ContextFreeGrammar.NTstatement · cited by 30
- ContextFreeGrammar.Producesproof · cited by 17
Cited by20
Results whose statement or proof uses this declaration.
- ContextFreeGrammar.Derives.trans_producesstatement and proof · cited by 3
- ContextFreeGrammar.Generatesproof · cited by 3
- ContextFreeGrammar.Derives.transstatement and proof · cited by 2
- ContextFreeGrammar.Produces.singlestatement · cited by 2
- ContextFreeGrammar.Derives.reversestatement and proof · cited by 1
- ContextFreeGrammar.derives_iff_eq_or_headstatement · cited by 1
- ContextFreeGrammar.derives_reversestatement and proof · cited by 1
- ContextFreeGrammar.generates_reverseproof · cited by 1
- ContextFreeGrammar.language_reverseproof · cited by 1
- ContextFreeGrammar.Derives.append_leftstatement and proof · cited by 0
- ContextFreeGrammar.Derives.append_rightstatement and proof · cited by 0
- ContextFreeGrammar.Derives.eq_or_headstatement and proof · cited by 0