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/- Copyright (c) 2026 Anand Nambakam. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Anand Nambakam -/ module public import QuantumInfo.States.Pure.Braket /-! # Bargmann Invariant and Geometric Phase The Bargmann invariant for three quantum states is the cyclic prod...
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/- Copyright (c) 2026 Anand Nambakam. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Anand Nambakam -/ module public import Mathlib.LinearAlgebra.CrossProduct public import Mathlib.Analysis.InnerProductSpace.PiL2 /-! # Bloch Sphere The Bloch sphere is the unit spher...
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/- Copyright (c) 2025 Alex Meiburg. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Alex Meiburg, Rodolfo Soldati -/ module public import QuantumInfo.ForMathlib.ContinuousLinearMap public import QuantumInfo.ForMathlib.ComplexLaplaceTransform public import QuantumInfo.F...
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/- Copyright (c) 2025 Alex Meiburg. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Alex Meiburg -/ module public import QuantumInfo.Channels.Bundled public import QuantumInfo.Channels.CPTP public import QuantumInfo.Channels.Dual public import QuantumInfo.Channels.Matr...
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/- Copyright (c) 2025 Sorrachai Yingchareonthawornhcai. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sorrachai Yingchareonthawornhcai, Eric Wieser -/ module public import Cslib.Init public import Mathlib.Algebra.Group.Defs /-! # TimeM: Time Complexity Monad `Time...
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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 Mathlib.Computability.Language /-! -/ @[expose] public section namespace Cslib.Automata /-- An `Acceptor` is a...
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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.Computability.Languages.OmegaLanguage /-! -/ @[expose] public section namespace Cslib.Automata /-- An `ωAcceptor` is a machine th...
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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, Ching-Tsun Chou -/ module public import Cslib.Computability.Automata.Acceptors.Acceptor public import Cslib.Computability.Automata.Acceptors.OmegaAcceptor public ...
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/- Copyright (c) 2025 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.Computability.Automata.DA.Basic /-! # Deterministic Buchi automata. -/ public section namespace Cslib.Automata.DA open scoped FinAc...
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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.Computability.Automata.DA.Basic public import Cslib.Computability.Languages.Congruences.RightCongruence /-! # Deterministic automaton ...
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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, Ching-Tsun Chou -/ module public import Cslib.Computability.Automata.DA.Basic public import Cslib.Foundations.Semantics.FLTS.Prod /-! # Product of deterministic ...
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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.Computability.Automata.DA.Basic public import Cslib.Computability.Automata.NA.Basic public import Cslib.Foundations.Semantics.FLTS.FL...
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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, Ching-Tsun Chou -/ module public import Cslib.Computability.Automata.NA.Basic public import Cslib.Foundations.Semantics.LTS.HasTau /-! # Nondeterministic automat...
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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.Computability.Automata.EpsilonNA.Basic public import Cslib.Foundations.Semantics.LTS.MapLabel /-! # Translation of εNA into NA -/ @...
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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.Computability.Automata.EpsilonNA.Basic /-! # Translation of εNA into εNA with a single accept state Defines the transformation `toS...
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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, Ching-Tsun Chou, Chris Henson -/ module public import Cslib.Computability.Automata.Acceptors.Acceptor public import Cslib.Computability.Automata.Acceptors.OmegaAc...
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/- Copyright (c) 2025 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.Computability.Automata.NA.Basic /-! # Equivalence of nondeterministic Buchi automata (NBAs). -/ @[expose] public section universe u ...
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/- Copyright (c) 2025 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.Computability.Automata.NA.Hist public import Cslib.Computability.Automata.NA.Prod public import Cslib.Foundations.Data.OmegaSequence.Te...
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/- Copyright (c) 2025 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.Computability.Automata.NA.Total public import Cslib.Foundations.Data.OmegaSequence.Temporal /-! # Concatenation of nondeterministic au...
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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.Computability.Automata.NA.Basic public import Cslib.Computability.Automata.Transducers.Transducer public import Cslib.Foundations.Sem...
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/- Copyright (c) 2025 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.Computability.Automata.NA.Basic /-! # Adding a history states to a nondeterministic automaton. The evolution of the history state can...
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/- Copyright (c) 2025 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.Computability.Automata.NA.Total public import Cslib.Foundations.Data.OmegaSequence.Temporal /-! # Loop construction on nondeterministi...
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/- Copyright (c) 2025 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.Computability.Languages.RegularLanguage /-! # Languages determined by pairs of states -/ @[expose] public section namespace Cslib o...
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/- Copyright (c) 2025 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.Computability.Automata.NA.Basic /-! # Sum of nondeterministic automata. -/ @[expose] public section namespace Cslib.Automata.NA ope...
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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.Computability.Automata.DA.Basic public import Cslib.Computability.Automata.NA.Basic public import Cslib.Foundations.Semantics.FLTS.LT...
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/- Copyright (c) 2025 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.Computability.Automata.NA.Basic public import Cslib.Foundations.Semantics.LTS.Total /-! # Making a nondeterministic automaton total. -...
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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 /-! # Transducers -/ @[expose] public section namespace Cslib.Automata /-- A `Transducer` is an automaton that translates st...
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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.LTS.OmegaExecution /-! # Distributed algorithms for solving the consensus problem In the consensus problem, eac...
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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.Computability.Distributed.FLP.Algorithm public import Mathlib.Data.Set.Card /-! # Fault-tolerant consensus Roughly speaking, a distri...
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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.Computability.Distributed.FLP.Consensus public import Cslib.Foundations.Data.OmegaSequence.InfOcc public import Mathlib.Data.List.Reduc...
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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.Computability.Distributed.FLP.OnePseudoConsensus public import Cslib.Foundations.Data.OmegaSequence.InfOcc /-! # Impossibility of asyn...
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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.Computability.Distributed.FLP.PseudoConsensus /-! # 1-tolerant pseudo-consensus This file develops the theory of pseudo-consensus alg...
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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.Computability.Distributed.FLP.CanReachVia public import Cslib.Computability.Distributed.FLP.FairScheduler /-! # Fault-tolerant pseudo-...
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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.Computability.Distributed.FLP.Consensus public import Cslib.Foundations.Data.OmegaSequence.Temporal /-! # Asynchronous distributed con...
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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.Computability.Automata.NA.Pair public import Cslib.Foundations.Combinatorics.InfiniteGraphRamsey public import Cslib.Foundations.Data.S...
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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.Init public import Mathlib.Computability.Language /-! # Right Congruence This file contains basic definitions about right congruences...
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/- Copyright (c) 2025 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.Computability.Automata.NA.Basic /-! # An ω-regular language that is not accepted by any deterministic Buchi automaton This example is...
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/- Copyright (c) 2025 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.Init public import Mathlib.Computability.Language /-! # Language (additional definitions and theorems) This file contains additional ...
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/- Copyright (c) 2025 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.Computability.Languages.Language public import Cslib.Foundations.Data.OmegaSequence.Flatten public import Mathlib.Computability.Languag...
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/- Copyright (c) 2025 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.Computability.Automata.DA.Buchi public import Cslib.Computability.Automata.NA.BuchiEquiv public import Cslib.Computability.Automata.NA....
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/- Copyright (c) 2025 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.Computability.Automata.DA.Congr public import Cslib.Computability.Automata.DA.Prod public import Cslib.Computability.Automata.DA.ToNA p...
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/- Copyright (c) 2026 Christian Reitwiessner. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Christian Reitwiessner -/ module public import Mathlib.Data.Finset.Max public import Mathlib.Data.Int.Interval public import Mathlib.Algebra.Order.Group.Abs public import Mat...
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/- Copyright (c) 2026 Christian Reitwiessner. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Christian Reitwiessner -/ module public import Cslib.Computability.Machines.Turing.MultiTape.Deterministic /-! # Tape head visitation and space-usage lemmas This file colle...
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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, Bolton Bailey -/ module public import Cslib.Foundations.Data.BiTape /-! # Basic definitions for Turing Machines (TMs) -/ @[expose] public section namespace Csl...
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/- Copyright (c) 2026 Bolton Bailey. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Bolton Bailey, Pim Spelier, Daan van Gent -/ module public import Cslib.Foundations.Data.BiTape public import Cslib.Foundations.Data.RelatesInSteps public import Mathlib.Algebra.Polyn...
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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.Defs public import Cslib.Foundations.Data.RelatesInSteps public import Cslib.Computability.Automata.NA.Basic pub...
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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.Computability.URM.Defs public import Mathlib.Data.List.MinMax --public import Mathlib.Data.List.Fold /-! # URM Basic Lemmas This file contains...
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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.Computability.URM.Execution /-! # URM-Computable Functions This file defines the notion of URM-computability for partial functions on natural ...
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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.Init public import Mathlib.Data.Finset.Insert /-! # URM Core Definitions This file contains the core definitions for Unlimited Register Machin...
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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.Computability.URM.Defs public import Cslib.Foundations.Relation.Confluence public import Mathlib.Data.Part /-! # URM Execution Semantics Singl...
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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.Computability.URM.StraightLine /-! # Standard Form Programs This file defines standard-form programs (those with bounded jump targets) and pro...
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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.Computability.URM.Basic public import Cslib.Computability.URM.Execution /-! # Straight-Line Programs This file defines straight-line programs ...
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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.Crypto.Protocols.PerfectSecrecy.Defs public import Cslib.Crypto.Protocols.PerfectSecrecy.Internal.PerfectSecrecy /-! # Perfect S...
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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.Crypto.Protocols.PerfectSecrecy.Encryption public import Cslib.Probability.PMF public import Mathlib.Probability.ProbabilityMassF...
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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 /-! # Private-Key Encryption Schemes (Information-Theoretic...
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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.Distributions.Uniform /-! # One-Time Pad: Internal proofs The OTP ciphertext distributio...
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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.Crypto.Protocols.PerfectSecrecy.Defs public import Mathlib.Probability.Distributions.Uniform /-! # Perfect Secrecy: Internal pro...
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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.Crypto.Protocols.PerfectSecrecy.Basic public import Cslib.Crypto.Protocols.PerfectSecrecy.Internal.OneTimePad public import Mathl...
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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.Probability.PMF public import Cslib.Crypto.Protocols.SecretSharing.Scheme /-! # Secret Sharing: Definitions Privacy for secret ...
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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.Data.Finset.Basic public import Mathlib.Probability.ProbabilityMassFunction.Constructions /-! # Secre...
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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.LinearAlgebra.Lagrange /-! # Shamir Secret Sharing: Polynomial Utilities This file contains the Sham...
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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.Crypto.Protocols.SecretSharing.Scheme public import Mathlib.Probability.Distributions.Uniform public import Cslib.Crypto.Protocol...
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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.Init public import Mathlib.Algebra.Order.Group.Nat public import Mathlib.Data.Fintype.Pigeonhole public import Mathlib.Data.Set.Finite....
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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 -/ module public import Cslib.Foundations.Control.Monad.Free public import Mathlib.Control.Monad.Cont /-! # Free Monad This file defines several canonical instances on the...
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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 -/ module public import Cslib.Foundations.Control.Monad.Free /-! # Free Monad Catamorphism This file defines the fold operation for free monads and proves its universal pr...
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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, Eric Wieser -/ module public import Cslib.Init /-! # Free Monad This file defines a general `FreeM` monad construction for representing effectful programs as pure syntax ...
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/- Copyright (c) 2026 Bolton Bailey. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Bolton Bailey -/ module public import Cslib.Foundations.Data.StackTape public import Mathlib.Computability.TuringMachine.Tape public import Mathlib.Data.Finset.Attr public import Math...
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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 /-! -/ @[expose] public section namespace Cslib /-- Equality to `Zero` is decidable for all elements of a type (`α`). -/ abb...
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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, Xueying Qin -/ module public import Cslib.Init public import Mathlib.Data.Finset.Filter public import Mathlib.Data.Finset.Lattice.Basic /-! # Finite functions G...
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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.Data.FinFun.Basic public import Cslib.Foundations.Data.DecidableEqZero public import Mathlib.Data.Finset.SDiff /-! # Upd...
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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, Kenny Lau -/ module -- shake: keep-downstream public import Cslib.Init public import Mathlib.Analysis.Normed.Field.Lemmas meta import Lean.Elab.ConfigEval import ...
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/- Copyright (c) 2025 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.Init public import Mathlib.Algebra.Order.Sub.Basic public import Mathlib.Data.Nat.Nth /-! # Segments defined by a strictly monotonic f...
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/- Copyright (c) 2025 Ching-Tsun Chou. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Ching-Tsun Chou, Fabrizio Montesi -/ module public import Cslib.Init public import Mathlib.Data.FunLike.Basic public import Mathlib.Logic.Function.Iterate /-! # Definition of `ωSeq...
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/- Copyright (c) 2025 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.Data.Nat.Segment public import Cslib.Foundations.Data.OmegaSequence.Init /-! # Flattening an infinite sequence of lists G...
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/- Copyright (c) 2025 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.Data.Nat.Segment public import Cslib.Foundations.Data.OmegaSequence.Defs public import Mathlib.Data.Fintype.Pigeonhole publ...
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/- Copyright (c) 2025 Ching-Tsun Chou. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Ching-Tsun Chou, Fabrizio Montesi -/ module public import Cslib.Foundations.Data.OmegaSequence.Defs public import Mathlib.Algebra.Order.Group.Nat public import Mathlib.Algebra.Order...
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/- Copyright (c) 2025 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.Data.OmegaSequence.Init public import Mathlib.Order.Filter.AtTopBot.Basic /-! # Temporal reasoning over infinite sequences...
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/- Copyright (c) 2026 Quang Dao. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Quang Dao -/ module public import Cslib.Init public import Mathlib.Data.PFunctor.Univariate.Basic /-! # Free Monad of a Polynomial Functor We define the free monad on a **polynomial fun...
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/- Copyright (c) 2025 Bolton Bailey. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Bolton Bailey -/ module public import Cslib.Init public import Mathlib.Logic.Relation /-! # Relations Across Steps This file defines `Relation.RelatesInSteps` (and `Relation.Relates...
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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.Init public import Mathlib.Order.SetNotation public import Mathlib.Data.Set.Basic /-! # Saturation -/ @[expose] public section names...
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/- Copyright (c) 2026 Bolton Bailey. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Bolton Bailey -/ module public import Cslib.Init /-! # StackTape: Infinite, eventually-`none` lists of `Option`s This file defines `StackTape`, a stack-like data structure of `Optio...
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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 Batteries.Tactic.Lint.Basic public import Lean.Message namespace Cslib.Lint open Lean Meta Std Batteries.Tactic.Lint -- TODO: adapt `topNamespac...
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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 /-! # Inference systems This module defines the basic classes and notation for *inference systems* -- systems for deriving con...
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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 Cslib.Foundations.Syntax.Congruence public import Cslib.Foundations.Logic.InferenceSystem /...
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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, Thomas Waring -/ module public import Cslib.Init /-! # Logical operators This module contains typeclasses and associated notation for common logical operators: ...
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/- Copyright (c) 2025 Fabrizio Montesi and Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Thomas Waring, Chris Henson -/ module public import Cslib.Init public import Lean.Elab.Command public import Mathlib.Util.Notation3 public impor...
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/- Copyright (c) 2025 Fabrizio Montesi and Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Thomas Waring, Chris Henson -/ module public import Cslib.Foundations.Relation.Defs public import Mathlib.Data.List.TFAE public import Mathlib.O...
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/- Copyright (c) 2025 Fabrizio Montesi and Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Thomas Waring, Chris Henson -/ module public import Cslib.Init public import Mathlib.Data.Set.CoeSort public import Mathlib.Logic.Relation publi...
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/- Copyright (c) 2025 Fabrizio Montesi and Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Thomas Waring, Chris Henson -/ module public import Cslib.Foundations.Relation.Defs public import Mathlib.Data.Set.Basic /-! # Relations: Domai...
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/- Copyright (c) 2025 Fabrizio Montesi and Thomas Waring. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Fabrizio Montesi, Thomas Waring, Chris Henson -/ module public import Cslib.Foundations.Relation.Restriction public import Mathlib.Data.Fintype.EquivFin public im...
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/- Copyright (c) 2026 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.Defs public import Cslib.Foundations.Relation.Domain /-! # Relations: Properties on set restrictions ## References * ...
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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 /-! # Functional Labelled Transition System (FLTS) A Functional Labelled Transition System is a special case of an `LTS` where...
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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.FLTS.Basic public import Cslib.Foundations.Semantics.LTS.Basic /-! Converting from `FLTS` to `LTS` -/ @[expos...
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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.FLTS.Basic public import Cslib.Foundations.Semantics.LTS.Basic /-! Converting from `LTS` to `FLTS` -/ @[expos...
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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: Ching-Tsun Chou, Fabrizio Montesi -/ module public import Cslib.Foundations.Semantics.FLTS.Basic /-! # Product of functional labelled transition systems -/ @[expose] public secti...
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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.Relation.Defs public import Mathlib.Data.Set.Finite.Basic public import Mathlib.Order.SetNotation /-! # Labelled Transit...