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[Merged by Bors] - feat(Computability/DFA): implement isRegular_iff#19940

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[Merged by Bors] - feat(Computability/DFA): implement isRegular_iff#19940
lambda-fairy wants to merge 3 commits intomasterfrom
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An alternative is to use Fin and Fintype.equivFin, which are available via the existing import of Data.Fintype.Card. However, since Fin _ : Type 0, it needs to be wrapped in ULift to be universe-polymorphic, so the result is messier than the Small approach.


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@github-actions github-actions bot added the new-contributor This PR was made by a contributor with at most 5 merged PRs. Welcome to the community! label Dec 13, 2024
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github-actions bot commented Dec 13, 2024

PR summary 08730e9764

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.Computability.DFA 661 665 +4 (+0.61%)
Import changes for all files
Files Import difference
3 files Mathlib.Computability.DFA Mathlib.Computability.NFA Mathlib.Computability.EpsilonNFA
4

Declarations diff

+ Language.isRegular_iff

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.


No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@github-actions github-actions bot added the t-computability Computability theory (TMs, DFAs, languages, grammars, etc) label Dec 13, 2024
⟨σ', Fintype.ofEquiv σ f, M.reindex f, hM ▸ DFA.accepts_reindex M f⟩

/--
A language is regular if and only if is defined by a DFA with finite states.
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I am not sure what the comment should be. Somebody else please review it.

@madvorak
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Thanks!

lambda-fairy and others added 2 commits December 14, 2024 01:39
Co-authored-by: Martin Dvořák <martin.dvorak@matfyz.cz>
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kim-em commented Jan 11, 2025

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Jan 11, 2025
mathlib-bors bot pushed a commit that referenced this pull request Jan 11, 2025
An alternative is to use `Fin` and `Fintype.equivFin`, which are available via the existing import of `Data.Fintype.Card`. However, since `Fin _ : Type 0`, it needs to be wrapped in `ULift` to be universe-polymorphic, so the result is messier than the `Small` approach.
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mathlib-bors bot commented Jan 11, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Computability/DFA): implement isRegular_iff [Merged by Bors] - feat(Computability/DFA): implement isRegular_iff Jan 11, 2025
@mathlib-bors mathlib-bors bot closed this Jan 11, 2025
@mathlib-bors mathlib-bors bot deleted the lambda-fairy/isregular-iff branch January 11, 2025 03:43
Julian added a commit that referenced this pull request Jan 12, 2025
* origin/master: (88 commits)
  chore(scripts): update nolints.json (#20672)
  chore: de-simp `map_eq_zero_iff_eq_one` (#20662)
  feat(Combinatorics/SimpleGraph): add independent sets (#18608)
  chore(CategoryTheory/Limits/Cones): functoriality of `mapCone` (#20641)
  feat(Algebra/Category/ModuleCat): pullback of presheaves of modules (#17366)
  feat(AlgebraicTopology): model categories (#19158)
  chore(CategoryTheory): make NormalEpi/MonoCategory and RegularEpi/MonoCategory props (#19548)
  feat(Data/List/ReduceOption): add replicate theorems (#20644)
  feat: approximate subgroups (#20050)
  feat: use scoped trace nodes in linarith (#19855)
  feat: disjoint union of charted spaces (#20619)
  feat: add some term elaborators for reduction (#15192)
  feat(Topology/Category): category of delta-generated spaces (#19499)
  add a variable_alias for Quantale and AddQuantale (#19282)
  feat(Computability/DFA): implement `isRegular_iff` (#19940)
  chore: unpin and bump batteries and importgraph (#20651)
  chore: split `Mathlib/Algebra/Group/Int` (#20624)
  feat: three lemmas related to Hausdorff distance (#20585)
  chore: `initialize_simps_projections` for `Submodule` (#20582)
  feat(Order): Boolean algebra structure on idempotents (#20618)
  chore(CategoryTheory): moving/renaming Subpresheaf (#20583)
  refactor(IntermediateField/Adjoin): Split off relation to `Algebra.adjoin` (#20630)
  feat: sets of doubling strictly less than 3/2 (#20572)
  chore(TensorProduct): universe polymorphism in EquationalCriterion (#20452)
  feat: `s \ t ∩ u = (s ∩ u) \ t` (#20298)
  feat: product of subalgebras (#20202)
  feat: `Submodule.restrictScalars` commutes with `pow` (#20581)
  feat: `a ∈ s ^ n` iff there exists a sequence `f` of `n` elements of `s` such that `∏ i, f i = a` (#20580)
  chore: make `FooHom.coe_id` a `norm_cast` lemma (#20576)
  chore: use ofNat more (#20546)
  feat(CategoryTheory/Shift/Opposite and CategoryTheory/Shift/Pullback): `CommShift` structures on adjunctions are compatible with opposites and pullbacks (#20363)
  feat(FieldTheory/Differential/Liouville): prove the algebraic case of Liouville's theorem (#16797)
  refactor: remove the `CompactSpace` field from `Unique{NonUnital}ContinuousFunctionalCalculus` (#20590)
  feat: Make `PNat.recOn` induction eliminator (#20617)
  feat(Analysis/SpecialFunctions/Pow/Real): add some lemmas (#20608)
  feat: If `s ∆ t` is finite, then `s ∆ u` is finite iff `t ∆ u` is (#20574)
  feat: `⨅ i, f i ≤ ⨆ i, f i` (#20573)
  chore(Geometry/Manifold): move SmoothManifoldWithCorners.lean to IsManifold.lean (#20611)
  feat: AbsoluteValue.IsNontrivial (#20588)
  chore(Data/Finsupp): split off extensionality from `Defs.lean` (#19092)
  chore(Data/Set): split the `CoeSort` instance to its own file (#19031)
  feat(Algebra/Order/Archimedean/Basic): powers between two elements (#20612)
  feature(Algebra/Ring/Idempotents): product of an idempotent and its complement (#20286)
  chore: cleanup more `erw` (#20601)
  chore(GroupTheory/CoprodI): shorten proof of lift_word_prod_nontrivial_of_not_empty (#20587)
  chore: cleanup imports in PrimePow/Divisors (#20626)
  chore: split Algebra/BigOperators/Group/List (#20625)
  chore: reduce Topology->Order imports by moving content (#20627)
  chore(Algebra/Lie/DirectSum): shorten proof of lieAlgebraOf.map_lie' (#20592)
  refactor: Split `FieldTheory/Adjoin.lean` into `Defs.lean` and `Basic.lean` (#20333)
  ...
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