Theorems · Definition · computer science
ContextFreeGrammar.Produces
{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.Produces u v means that one step of a context-free transformation by a rule from g sends
u to v.
- Defined in
- Mathlib.Computability.ContextFreeGrammar
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Symbolstatement and proof · cited by 47
- ContextFreeGrammarstatement and proof · cited by 39
- ContextFreeRuleproof · cited by 33
- ContextFreeGrammar.NTstatement and proof · cited by 30
- ContextFreeRule.Rewritesproof · cited by 16
- ContextFreeGrammar.rulesproof · cited by 9
Cited by18
Results whose statement or proof uses this declaration.
- ContextFreeGrammar.Derivesproof · cited by 19
- ContextFreeGrammar.Derives.trans_producesstatement and proof · cited by 3
- ContextFreeGrammar.Produces.singlestatement and proof · cited by 2
- ContextFreeGrammar.produces_reversestatement · cited by 1
- ContextFreeGrammar.Derives.reverseproof · cited by 1
- ContextFreeGrammar.Produces.append_leftstatement and proof · cited by 1
- ContextFreeGrammar.Produces.append_rightstatement and proof · cited by 1
- ContextFreeGrammar.Produces.exists_nonterminal_input_memstatement and proof · cited by 1
- ContextFreeGrammar.Produces.reversestatement · cited by 1
- ContextFreeGrammar.derives_iff_eq_or_headstatement · cited by 1
- ContextFreeGrammar.produces_reverse_commstatement · cited by 0
- ContextFreeGrammar.Derives.append_leftproof · cited by 0