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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Thomas Waring -/ module public import Cslib.Foundations.Relation.Domain public import Cslib.Foundations.Semantics.LTS.Simulation public import Cslib.Foundations.S...
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IsWeakBisimulation lts₁ lts₃ (Relation.Comp r1 r2) := by simp_all only [IsWeakBisimulation] exact h1.comp h2 /-- The composition of two sw-bisimulations is an sw-bisimulation. -/ theorem IsSWBisimulation.comp [HasTau Label] {lts₁ : LTS State₁ Label} {lts₂ : LTS State₂ Label} {lts₃ : LTS State₃ Label} (h1 :...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Semantics.LTS.HasTau public import Cslib.Foundations.Semantics.LTS.OmegaExecution /-! # Divergence of LTS -/ @[expose] ...
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/- Copyright (c) 2026 Samuel Schlesinger. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Samuel Schlesinger -/ module public import Cslib.Foundations.Semantics.LTS.Termination public import Mathlib.Order.WellFounded /-! # Examples separating boundedness, termination...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Ching-Tsun Chou -/ module public import Cslib.Foundations.Semantics.LTS.Basic /-! # Finite executions of LTS -/ @[expose] public section namespace Cslib.LTS v...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Semantics.LTS.Relation /-! # LTS with a special "internal" transition `τ`. -/ @[expose] public section namespace Cslib...
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/- Copyright (c) 2026 Ayberk Tosun (Zeroth Research). All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Ayberk Tosun -/ module public import Mathlib.CategoryTheory.Category.Basic public import Cslib.Foundations.Semantics.LTS.Basic public import Mathlib.Control.Basic /-...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Semantics.LTS.Basic /-! # Label map operation for LTS. -/ @[expose] public section namespace Cslib.LTS section MapLa...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Chris Henson -/ module public import Cslib.Foundations.Semantics.LTS.Relation /-! # Notations about LTS -/ namespace Cslib.LTS public meta section open Lean E...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Ching-Tsun Chou -/ module public import Cslib.Foundations.Data.OmegaSequence.Flatten public import Cslib.Foundations.Semantics.LTS.Execution /-! # Infinite execu...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Semantics.LTS.Basic /-! # Conversions between `LTS` and `Relation`. -/ @[expose] public section namespace Cslib.LTS v...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Semantics.LTS.HasTau /-! # IsSimulation and Similarity A simulation is a binary relation on the states of two `LTS`s: i...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Relation.Confluence public import Cslib.Foundations.Semantics.LTS.Execution public import Mathlib.Data.Fintype.Card publi...
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/- Copyright (c) 2026 Ching-Tsun Chou. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Ching-Tsun Chou -/ module public import Cslib.Foundations.Semantics.FLTS.Basic public import Cslib.Foundations.Semantics.LTS.OmegaExecution /-! # Total LTS This file defines, and ...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Semantics.LTS.Basic public import Cslib.Foundations.Semantics.LTS.Simulation /-! # Trace Equivalence Definitions and re...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Semantics.LTS.Basic /-! # Union of LTSs Note: there is a nontrivial balance between ergonomics and generality here. The...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Syntax.Context public import Mathlib.Algebra.Order.Monoid.Unbundled.Defs /-! Typeclass for congruence over a context. -/...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Init /-! Typeclasses for contexts, with heterogeneous and homogeneous variants. -/ @[expose] public section namespace Cslib /-- C...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Init /-! Notation typeclass for α-equivalence. -/ public section namespace Cslib /-- Typeclass for the α-equivalence notation `x ...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Init /-! Notation typeclass for substitution. -/ public section namespace Cslib /-- Typeclass for substitution relations and acce...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Init /-! Notation typeclass for well-formedness. -/ public section namespace Cslib /-- Typeclass for types equipped with a well-f...
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/- Copyright (c) 2025 Jesse Alama. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jesse Alama -/ module -- shake: keep-downstream, shake: keep-all public import Cslib.Foundations.Lint.Basic public import Mathlib.Init public import Mathlib.Tactic.Common /-! # CSLib I...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Syntax.Context public import Mathlib.Tactic.ToAdditive public import Mathlib.Tactic.ToDual /-! # Calculus of Communicati...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Semantics.LTS.Bisimulation public import Cslib.Foundations.Syntax.Congruence public import Cslib.Languages.CCS.Semantics ...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Semantics.LTS.HasTau public meta import Cslib.Foundations.Semantics.LTS.Notation public import Cslib.Languages.CCS.Basic ...
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/- Copyright (c) 2025 Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Thomas Waring -/ module public import Cslib.Languages.CombinatoryLogic.Defs /-! # Basic results for the SKI calculus ## Main definition - `Polynomial`: the type of SKI terms with f...
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/- Copyright (c) 2025 Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Thomas Waring -/ module public import Cslib.Languages.CombinatoryLogic.Defs public import Cslib.Foundations.Relation.Confluence /-! # SKI reduction is confluent This file proves the...
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/- Copyright (c) 2025 Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Thomas Waring -/ module public import Cslib.Foundations.Relation.Attr public import Cslib.Foundations.Relation.Defs public meta import Mathlib.Tactic.ToDual /-! # SKI Combinatory Log...
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/- Copyright (c) 2025 Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Thomas Waring -/ module public import Cslib.Languages.CombinatoryLogic.Confluence public import Cslib.Languages.CombinatoryLogic.Recursion /-! # Evaluation results This file formali...
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/- Copyright (c) 2026 Jesse Alama. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jesse Alama -/ module public import Cslib.Languages.CombinatoryLogic.Recursion /-! # Church-Encoded Lists in SKI Combinatory Logic Church-encoded lists for proving SKI ≃ TM equivalenc...
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/- Copyright (c) 2025 Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Thomas Waring, Jesse Alama -/ module public import Cslib.Languages.CombinatoryLogic.Basic public import Mathlib.Data.Nat.Pairing /-! # General recursion in the SKI calculus In this ...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Foundations.Syntax.HasWellFormed public import Mathlib.Data.Finset.Dedup public import Mathlib.Data.List.Sigma /-! # λ-calculus Contexts a...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Foundations.Data.HasFresh public import Cslib.Languages.LambdaCalculus.LocallyNameless.Context /-! # λ-calculus The λ-calculus with polymor...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Foundations.Syntax.HasSubstitution public import Cslib.Languages.LambdaCalculus.LocallyNameless.Fsub.Basic /-! # λ-calculus The λ-calculus ...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Foundations.Relation.Attr public import Cslib.Languages.LambdaCalculus.LocallyNameless.Fsub.Opening /-! # λ-calculus The λ-calculus with po...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Fsub.Typing /-! # λ-calculus The λ-calculus with polymorphism and subtyping, with a locally namele...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Fsub.WellFormed /-! # λ-calculus The λ-calculus with polymorphism and subtyping, with a locally na...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Fsub.Reduction public import Cslib.Languages.LambdaCalculus.LocallyNameless.Fsub.Subtype /-! # λ-ca...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Fsub.Opening /-! # λ-calculus The λ-calculus with polymorphism and subtyping, with a locally namel...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Context public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.Properties /-! # λ-cal...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Stlc.Basic public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.FullBeta public impo...
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/- Copyright (c) 2025 David Wegmann. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: David Wegmann -/ module public import Cslib.Foundations.Data.HasFresh public import Cslib.Languages.LambdaCalculus.LocallyNameless.Stlc.Basic public import Cslib.Languages.LambdaCalcu...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Foundations.Data.HasFresh public import Cslib.Foundations.Syntax.HasSubstitution /-! # λ-calculus The untyped λ-calculus, with a locally na...
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/- Copyright (c) 2026 Maximiliano Onofre Martínez. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Maximiliano Onofre Martínez -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.CallByName /-! # Redex Positions This module defines β-reduc...
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/- Copyright (c) 2026 Maximiliano Onofre Martínez. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Maximiliano Onofre Martínez -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.FullBeta public import Cslib.Languages.LambdaCalculus.LocallyN...
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/- Copyright (c) 2026 Maximiliano Onofre Martínez. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Maximiliano Onofre Martínez -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.Properties /-! # Congruence for the λ-calculus -/ public sec...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Foundations.Relation.Attr public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.Properties public import Cslib.Languages.Lambd...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.FullBeta public import Cslib.Foundations.Relation.Confluence /-! # β-confluence for the λ-c...
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/- Copyright (c) 2026 Maximiliano Onofre Martínez. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Maximiliano Onofre Martínez, Yijun Leng -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.FullBetaConfluence public import Cslib.Languages.L...
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/- Copyright (c) 2026 Maximiliano Onofre Martínez. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Maximiliano Onofre Martínez -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.FullBetaConfluence public import Cslib.Languages.LambdaCalculu...
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/- Copyright (c) 2026 Maximiliano Onofre Martínez. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Maximiliano Onofre Martínez -/ module public import Cslib.Foundations.Relation.Attr public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.Properties publi...
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/- Copyright (c) 2026 Maximiliano Onofre Martínez. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Maximiliano Onofre Martínez -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.FullEta public import Cslib.Foundations.Relation.Confluence /...
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/- Copyright (c) 2026 Elimia (Sehun Kim). All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Elimia (Sehun Kim) -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.Basic /-! Alternative Definitions for LC: This module defines `LcAt k M`, a m...
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/- Copyright (c) 2026 Maximiliano Onofre Martínez. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Maximiliano Onofre Martínez -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.StandardReduction /-! # The Leftmost Reduction Theorem ## Re...
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/- Copyright (c) 2025 David Wegmann. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: David Wegmann -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.FullBeta /-! Multiple application for untyped lambda calculus. -/ set_option linter.unu...
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/- Copyright (c) 2025 David Wegmann. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: David Wegmann -/ module public import Cslib.Foundations.Data.HasFresh public import Cslib.Foundations.Syntax.HasSubstitution public import Cslib.Languages.LambdaCalculus.LocallyNamel...
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/- Copyright (c) 2025 Chris Henson. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Chris Henson -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.LcAt /-! General properties of opening and substitution in untyped lambda calculus terms. -...
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/- Copyright (c) 2026 Maximiliano Onofre Martínez. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Maximiliano Onofre Martínez -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.BetaAt /-! # Standard Reduction and the Standardization Theor...
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/- Copyright (c) 2025 David Wegmann. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: David Wegmann -/ module public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.FullBeta public import Cslib.Languages.LambdaCalculus.LocallyNameless.Untyped.MultiApp pub...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Data.HasFresh public import Cslib.Foundations.Syntax.HasAlphaEquiv public import Cslib.Foundations.Syntax.HasSubstitution...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Init public import Mathlib.Data.Finset.Basic /-! # Choreography A choreography defines the collective behaviour of a system of comm...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Foundations.Syntax.HasSubstitution /-! # Local expressions, stores, and evaluation Choreographic programming and associated languag...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Languages.Mech.LocalComputation public import Cslib.Foundations.Semantics.LTS.Basic set_option linter.style.header false in set_opti...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Languages.StatefulProcesses.Basic public import Cslib.Foundations.Syntax.HasSubstitution /-! # Networks of stateful processes and th...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Marco Peressotti, Alexandre Rademaker -/ module public import Cslib.Foundations.Semantics.LTS.Bisimulation public import Cslib.Foundations.Logic.Operators public ...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Logics.HML.Basic public import Cslib.Foundations.Logic.LogicalEquivalence /-! # Logical Equivalence in HML This module defines logi...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Init public import Cslib.Foundations.Syntax.Context public import Cslib.Foundations.Logic.InferenceSystem public import Cslib.Foundat...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Logics.LinearLogic.CLL.Basic /-! -/ @[expose] public section namespace Cslib.Logic.CLL open Cslib.Logic.InferenceSystem /-- A `C...
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/- Copyright (c) 2025 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Logics.LinearLogic.CLL.Basic /-! # η-expansion for Classical Linear Logic (CLL) -/ @[expose] public section namespace Cslib.Logic....
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Logics.LinearLogic.CLL.Basic public import Cslib.Foundations.Logic.InferenceSystem /-! # Multiplicative Classical Linear Logic (MLL)...
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/- Copyright (c) 2025 Tanner Duve. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Tanner Duve, Bhavik Mehta -/ module public import Mathlib.Algebra.Group.Pointwise.Set.Basic public import Mathlib.Algebra.Group.Idempotent public import Mathlib.Order.Closure public imp...
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/-! ## Interpretation of propositions -/ /-- The interpretation of a CLL proposition in a phase space, given a valuation of atoms to facts. -/ def interpProp [PhaseSpace M] (v : Atom → Fact M) : Proposition Atom → Fact M | .atom a => v a | .atomDual a => (v a)ᗮ | .one => 1 | .zero => 0...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Marianna Girlando -/ module public import Cslib.Foundations.Logic.Operators public import Cslib.Foundations.Logic.InferenceSystem public import Mathlib.Data.Set.B...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Marianna Girlando -/ module public import Cslib.Logics.Modal.Basic /-! # Modal Logic Cube This module formalises the Modal Cube, including all the 15 foundation...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Logics.Modal.Basic /-! # Denotational semantics for Modal Logic A denotational semantics for modal logic, inspired by the one for H...
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/- Copyright (c) 2026 Fabrizio Montesi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi -/ module public import Cslib.Logics.Modal.Basic public import Cslib.Foundations.Logic.LogicalEquivalence /-! # Logical Equivalence in Modal Logic This module de...
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/- Copyright (c) 2025 Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Thomas Waring -/ module public import Cslib.Foundations.Logic.Operators public import Cslib.Foundations.Logic.InferenceSystem public import Mathlib.Data.FunLike.Basic public import Ma...
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/- Copyright (c) 2025 Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Thomas Waring -/ module public import Cslib.Logics.Propositional.Defs public import Cslib.Foundations.Logic.InferenceSystem public import Mathlib.Data.Finset.Insert public import Mathl...
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/- Copyright (c) 2025 Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Thomas Waring -/ module public import Cslib.Logics.Propositional.NaturalDeduction.Basic /-! # Results on propositional theories In this file we prove the expected results that `IPL A...
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/- Copyright (c) 2026 Samuel Schlesinger. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Samuel Schlesinger -/ module public import Cslib.Init public import Mathlib.MeasureTheory.Measure.MeasureSpace public import Mathlib.MeasureTheory.Constructions.Pi public import ...
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/-- `sampleComplexity_mono_C` for a learnable class (learnability at the *larger* class `C'` is the hypothesis). -/ theorem IsPACLearnable.sampleComplexity_mono_C {C C' : ConceptClass α β} {𝒟 : Set (Measure (α × β))} (hL : IsPACLearnable C' 𝒟) (hC : C ⊆ C') {ε δ : Set.Ioo (0 : ℝ≥0) 1} : sampleComplexity I...
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/- Copyright (c) 2026 Samuel Schlesinger. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Samuel Schlesinger -/ module public import Cslib.MachineLearning.PACLearning.Defs public import Mathlib.Combinatorics.SetFamily.Shatter /-! # VC Dimension for Concept Classes T...
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/- Copyright (c) 2026 Dhruv Gupta. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Dhruv Gupta -/ module public import Cslib.MachineLearning.PACLearning.Defs public import Mathlib.MeasureTheory.Measure.Dirac public import Mathlib.MeasureTheory.Measure.Map /-! # Versi...
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/- Copyright (c) 2026 Dhruv Gupta. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Dhruv Gupta -/ module public import Cslib.MachineLearning.PACLearning.VersionSpace public import Mathlib.Data.Fin.Tuple.Basic public import Mathlib.Data.Set.Card public import Mathlib.D...
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/- Copyright (c) 2026 Samuel Schlesinger. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Samuel Schlesinger -/ module public import Cslib.Init public import Mathlib.Probability.ProbabilityMassFunction.Monad public import Mathlib.Probability.Distributions.Uniform /-!...