telltale_language/ast/

convert.rs

//! Conversion utilities between DSL AST types and theory types.
//!
//! This module provides bidirectional conversion between choreography DSL types
//! (Protocol, LocalType) and the formal theory types (GlobalType, LocalTypeR)
//! from `telltale-types`.
//!
//! ## Supported Conversions
//!
//! - `Protocol → GlobalType`: For protocols using the common subset (Send, Choice, Rec, Var, End)
//! - `LocalType → LocalTypeR`: For comparison of projection results
//!
//! ## Unsupported DSL Features
//!
//! The following DSL features cannot be converted to theory types:
//! - `Broadcast`: Use `desugar_broadcast` first to convert to nested Sends
//! - `Loop`: Use `desugar_loop` first to convert to Rec/Var
//! - `Parallel`: No theory equivalent
//! - `Extension`: No theory equivalent
//! - `LocalChoice`: DSL-only feature for local decisions

use super::{Branch, Choreography, LocalType, MessageType, NonEmptyVec, Protocol};
use crate::ast::Condition;
use telltale_types::{GlobalType as GlobalTypeCore, Label, LocalTypeR, PayloadSort};
use thiserror::Error;

/// Errors that can occur during conversion.
#[derive(Debug, Clone, Error)]
pub enum ConversionError {
    /// Protocol contains unsupported DSL feature
    #[error("unsupported DSL feature: {feature}. {hint}")]
    UnsupportedFeature { feature: String, hint: String },

    /// Empty choice branches
    #[error("choice has no branches")]
    EmptyChoice,

    /// Invalid choice structure (branches don't start with Send from decider)
    #[error("invalid choice: branch '{label}' does not start with Send from decider")]
    InvalidChoice { label: String },

    /// Inconsistent choice receivers
    #[error("choice has inconsistent receivers: expected all branches to send to {expected}, but branch '{label}' sends to {actual}")]
    InconsistentReceivers {
        expected: String,
        actual: String,
        label: String,
    },
}

/// Result type for conversion operations.
pub type ConversionResult<T> = Result<T, ConversionError>;

// ============================================================================
// Protocol → GlobalType conversion
// ============================================================================

/// Convert a Choreography to a GlobalType (theory type).
///
/// This converts the common subset of protocols that are expressible in both
/// the DSL and the formal theory.
///
/// # Errors
///
/// Returns an error if the protocol uses DSL-only features.
pub fn choreography_to_global(choreography: &Choreography) -> ConversionResult<GlobalTypeCore> {
    protocol_to_global(&choreography.protocol)
}

/// Convert a Protocol to a GlobalType (theory type).
///
/// # Supported Protocol Variants
///
/// - `Send`: Converts to `GlobalType::Comm` with single branch
/// - `Choice`: Converts to `GlobalType::Comm` with multiple branches
/// - `Rec`: Converts to `GlobalType::Mu`
/// - `Var`: Converts to `GlobalType::Var`
/// - `End`: Converts to `GlobalType::End`
///
/// # Errors
///
/// Returns `UnsupportedFeature` for: Broadcast, Loop, Parallel, Extension
// RECURSION_SAFE: structural recursion over finite protocol AST depth.
pub fn protocol_to_global(protocol: &Protocol) -> ConversionResult<GlobalTypeCore> {
    match protocol {
        Protocol::End => Ok(GlobalTypeCore::End),

        Protocol::Var(ident) => Ok(GlobalTypeCore::var(ident.to_string())),

        Protocol::Rec { label, body } => {
            let body_global = protocol_to_global(body)?;
            Ok(GlobalTypeCore::mu(label.to_string(), body_global))
        }

        Protocol::Send {
            from,
            to,
            message,
            continuation,
            ..
        } => convert_protocol_send(from, to, message, continuation),

        Protocol::Choice {
            role: decider,
            branches,
            ..
        } => convert_protocol_choice(decider, branches),

        Protocol::Broadcast { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "Broadcast".to_string(),
            hint: "Desugar to nested Sends using desugar_broadcast() first".to_string(),
        }),

        Protocol::Loop { condition, body } => convert_protocol_loop(condition.as_ref(), body),

        Protocol::Parallel { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "Parallel".to_string(),
            hint: "Parallel composition has no theory equivalent".to_string(),
        }),

        Protocol::Begin { .. }
        | Protocol::Await { .. }
        | Protocol::Resolve { .. }
        | Protocol::Invalidate { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "CommitmentLifecycle".to_string(),
            hint:
                "Explicit commitment lifecycle requires protocol-machine lowering instead of theory conversion"
                    .to_string(),
        }),

        Protocol::Let { continuation, .. } => protocol_to_global(continuation),

        Protocol::Case { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "Case".to_string(),
            hint: "Authority-local case/of must be lowered to explicit protocol choices first"
                .to_string(),
        }),

        Protocol::Timeout { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "Timeout".to_string(),
            hint: "Timeout blocks must be lowered to explicit protocol choices before theory conversion"
                .to_string(),
        }),

        Protocol::Publish { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "Publish".to_string(),
            hint: "Publication surfaces must be erased or lowered before theory conversion"
                .to_string(),
        }),

        Protocol::PublishAuthority { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "PublishAuthority".to_string(),
            hint: "Canonical publication requires protocol-machine lowering before theory conversion"
                .to_string(),
        }),

        Protocol::Materialize { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "Materialize".to_string(),
            hint:
                "Materialization requires protocol-machine lowering before theory conversion"
                    .to_string(),
        }),

        Protocol::Handoff { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "Handoff".to_string(),
            hint: "Semantic handoff must be lowered before theory conversion".to_string(),
        }),

        Protocol::DependentWork { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "DependentWork".to_string(),
            hint: "Dependent work declarations must be lowered before theory conversion"
                .to_string(),
        }),

        Protocol::Extension { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "Extension".to_string(),
            hint: "Protocol extensions have no theory equivalent".to_string(),
        }),
    }
}

fn convert_protocol_send(
    from: &super::Role,
    to: &super::Role,
    message: &MessageType,
    continuation: &Protocol,
) -> ConversionResult<GlobalTypeCore> {
    let cont_global = protocol_to_global(continuation)?;
    let label = message_to_label(message);
    Ok(GlobalTypeCore::send(
        from.name().to_string(),
        to.name().to_string(),
        label,
        cont_global,
    ))
}

fn convert_protocol_choice(
    decider: &super::Role,
    branches: &NonEmptyVec<Branch>,
) -> ConversionResult<GlobalTypeCore> {
    let first_receiver = extract_receiver(&branches[0], decider)?;
    let mut global_branches = Vec::with_capacity(branches.len());
    for branch in branches {
        let (label, cont) = convert_choice_branch(branch, decider, &first_receiver)?;
        global_branches.push((label, cont));
    }
    Ok(GlobalTypeCore::comm(
        decider.name().to_string(),
        first_receiver,
        global_branches,
    ))
}

/// Extract the receiver from a choice branch's initial Send.
fn extract_receiver(branch: &Branch, decider: &super::Role) -> ConversionResult<String> {
    match &branch.protocol {
        Protocol::Send { from, to, .. } => {
            if from.name() != decider.name() {
                return Err(ConversionError::InvalidChoice {
                    label: branch.label.to_string(),
                });
            }
            Ok(to.name().to_string())
        }
        _ => Err(ConversionError::InvalidChoice {
            label: branch.label.to_string(),
        }),
    }
}

/// Convert a choice branch to a (Label, GlobalType) pair.
fn convert_choice_branch(
    branch: &Branch,
    decider: &super::Role,
    expected_receiver: &str,
) -> ConversionResult<(Label, GlobalTypeCore)> {
    match &branch.protocol {
        Protocol::Send {
            from,
            to,
            message,
            continuation,
            ..
        } => {
            if from.name() != decider.name() {
                return Err(ConversionError::InvalidChoice {
                    label: branch.label.to_string(),
                });
            }
            if *to.name() != expected_receiver {
                return Err(ConversionError::InconsistentReceivers {
                    expected: expected_receiver.to_string(),
                    actual: to.name().to_string(),
                    label: branch.label.to_string(),
                });
            }

            let label = Label::new(branch.label.to_string());
            let cont_global = if branch.label == message.name {
                protocol_to_global(continuation)?
            } else {
                protocol_to_global(&branch.protocol)?
            };
            Ok((label, cont_global))
        }
        _ => Err(ConversionError::InvalidChoice {
            label: branch.label.to_string(),
        }),
    }
}

fn append_global_continuation(
    global: GlobalTypeCore,
    continuation: GlobalTypeCore,
) -> GlobalTypeCore {
    match global {
        GlobalTypeCore::End => continuation,
        GlobalTypeCore::Comm {
            sender,
            receiver,
            branches,
        } => GlobalTypeCore::Comm {
            sender,
            receiver,
            branches: branches
                .into_iter()
                .map(|(label, branch)| {
                    (
                        label,
                        append_global_continuation(branch, continuation.clone()),
                    )
                })
                .collect(),
        },
        GlobalTypeCore::Mu { var, body } => GlobalTypeCore::Mu {
            var,
            body: Box::new(append_global_continuation(*body, continuation)),
        },
        GlobalTypeCore::Var(var) => GlobalTypeCore::Var(var),
    }
}

fn repeat_global(body: &Protocol, iterations: usize) -> ConversionResult<GlobalTypeCore> {
    if iterations == 0 {
        return Ok(GlobalTypeCore::End);
    }

    let body_global = protocol_to_global(body)?;
    let mut repeated = GlobalTypeCore::End;
    for _ in 0..iterations {
        repeated = append_global_continuation(body_global.clone(), repeated);
    }
    Ok(repeated)
}

fn convert_protocol_loop(
    condition: Option<&Condition>,
    body: &Protocol,
) -> ConversionResult<GlobalTypeCore> {
    match condition {
        Some(Condition::Count(iterations))
        | Some(Condition::Fuel(iterations))
        | Some(Condition::YieldAfter(iterations)) => repeat_global(body, *iterations),
        Some(Condition::RoleDecides(_)) => Err(ConversionError::UnsupportedFeature {
            feature: "Loop".to_string(),
            hint: "Role-decides loops should be desugared to choice+recursion before theory conversion"
                .to_string(),
        }),
        Some(Condition::Custom(_)) | Some(Condition::YieldWhen(_)) | None => {
            Err(ConversionError::UnsupportedFeature {
                feature: "Loop".to_string(),
                hint: "Only finite counted loops currently lower to GlobalType; use recursion for open-ended loops"
                    .to_string(),
            })
        }
    }
}

/// Convert a MessageType to a Label.
fn message_to_label(message: &MessageType) -> Label {
    // Use the message name as the label name
    // If there's a type annotation, we could map it to PayloadSort
    let name = message.name.to_string();

    // Default to Unit sort; type annotations would map to other PayloadSort variants
    Label::with_sort(name, PayloadSort::Unit)
}

// ============================================================================
// LocalType → LocalTypeR conversion
// ============================================================================

/// Convert a LocalType (DSL) to a LocalTypeR (theory type).
///
/// # Supported LocalType Variants
///
/// - `Send`: Converts to `LocalTypeR::Send`
/// - `Receive`: Converts to `LocalTypeR::Recv`
/// - `Select`: Converts to `LocalTypeR::Send` (internal choice)
/// - `Branch`: Converts to `LocalTypeR::Recv` (external choice)
/// - `Mu`/`Var`: Convert directly
/// - `End`: Converts to `LocalTypeR::End`
///
/// # Errors
///
/// Returns error for: `LocalChoice`, `Loop` (DSL-only features)
// RECURSION_SAFE: structural recursion over finite local-type AST depth.
pub fn local_to_local_r(local: &LocalType) -> ConversionResult<LocalTypeR> {
    match local {
        LocalType::End => Ok(LocalTypeR::End),

        LocalType::Var(ident) => Ok(LocalTypeR::Var(ident.to_string())),

        LocalType::Send {
            to,
            message,
            continuation,
        } => convert_local_send(to, message, continuation),

        LocalType::Receive {
            from,
            message,
            continuation,
        } => convert_local_receive(from, message, continuation),

        LocalType::Select { to, branches } => convert_local_select(to, branches),

        LocalType::Branch { from, branches } => convert_local_branch(from, branches),

        LocalType::Rec { label, body } => {
            let body_r = local_to_local_r(body)?;
            Ok(LocalTypeR::mu(label.to_string(), body_r))
        }

        LocalType::LocalChoice { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "LocalChoice".to_string(),
            hint: "LocalChoice (local decisions without communication) has no theory equivalent"
                .to_string(),
        }),

        LocalType::Loop { condition, body } => convert_local_loop(condition.as_ref(), body),

        LocalType::Timeout { .. } => Err(ConversionError::UnsupportedFeature {
            feature: "Timeout".to_string(),
            hint: "Timeout is a DSL extension with no theory equivalent".to_string(),
        }),
    }
}

fn convert_local_send(
    to: &super::Role,
    message: &MessageType,
    continuation: &LocalType,
) -> ConversionResult<LocalTypeR> {
    let cont_r = local_to_local_r(continuation)?;
    let label = message_to_label(message);
    Ok(LocalTypeR::send(to.name().to_string(), label, cont_r))
}

fn convert_local_receive(
    from: &super::Role,
    message: &MessageType,
    continuation: &LocalType,
) -> ConversionResult<LocalTypeR> {
    let cont_r = local_to_local_r(continuation)?;
    let label = message_to_label(message);
    Ok(LocalTypeR::recv(from.name().to_string(), label, cont_r))
}

fn convert_local_select(
    to: &super::Role,
    branches: &[(proc_macro2::Ident, LocalType)],
) -> ConversionResult<LocalTypeR> {
    let mut r_branches = Vec::with_capacity(branches.len());
    for (ident, cont) in branches {
        // Flatten nested Send that duplicates the choice label
        // DSL produces: Select { Accept -> Send(Accept, End) }
        // Theory expects: Send { (Accept, End) }
        let cont_r = match cont {
            LocalType::Send {
                to: send_to,
                message,
                continuation,
            } if send_to.name() == to.name() && message.name == *ident => {
                local_to_local_r(continuation)?
            }
            _ => local_to_local_r(cont)?,
        };
        r_branches.push((Label::new(ident.to_string()), None, cont_r));
    }
    Ok(LocalTypeR::Send {
        partner: to.name().to_string(),
        branches: r_branches,
    })
}

fn convert_local_branch(
    from: &super::Role,
    branches: &[(proc_macro2::Ident, LocalType)],
) -> ConversionResult<LocalTypeR> {
    let mut r_branches = Vec::with_capacity(branches.len());
    for (ident, cont) in branches {
        // Flatten nested Receive that duplicates the choice label
        // DSL produces: Branch { Accept -> Recv(Accept, End) }
        // Theory expects: Recv { (Accept, End) }
        let cont_r = match cont {
            LocalType::Receive {
                from: recv_from,
                message,
                continuation,
            } if recv_from.name() == from.name() && message.name == *ident => {
                local_to_local_r(continuation)?
            }
            _ => local_to_local_r(cont)?,
        };
        r_branches.push((Label::new(ident.to_string()), None, cont_r));
    }
    Ok(LocalTypeR::Recv {
        partner: from.name().to_string(),
        branches: r_branches,
    })
}

fn append_local_r_continuation(local: LocalTypeR, continuation: LocalTypeR) -> LocalTypeR {
    match local {
        LocalTypeR::End => continuation,
        LocalTypeR::Send { partner, branches } => LocalTypeR::Send {
            partner,
            branches: branches
                .into_iter()
                .map(|(label, payload, branch)| {
                    (
                        label,
                        payload,
                        append_local_r_continuation(branch, continuation.clone()),
                    )
                })
                .collect(),
        },
        LocalTypeR::Recv { partner, branches } => LocalTypeR::Recv {
            partner,
            branches: branches
                .into_iter()
                .map(|(label, payload, branch)| {
                    (
                        label,
                        payload,
                        append_local_r_continuation(branch, continuation.clone()),
                    )
                })
                .collect(),
        },
        LocalTypeR::Mu { var, body } => LocalTypeR::Mu {
            var,
            body: Box::new(append_local_r_continuation(*body, continuation)),
        },
        LocalTypeR::Var(var) => LocalTypeR::Var(var),
    }
}

fn repeat_local_r(body: &LocalType, iterations: usize) -> ConversionResult<LocalTypeR> {
    if iterations == 0 {
        return Ok(LocalTypeR::End);
    }

    let body_r = local_to_local_r(body)?;
    let mut repeated = LocalTypeR::End;
    for _ in 0..iterations {
        repeated = append_local_r_continuation(body_r.clone(), repeated);
    }
    Ok(repeated)
}

fn convert_local_loop(
    condition: Option<&Condition>,
    body: &LocalType,
) -> ConversionResult<LocalTypeR> {
    match condition {
        Some(Condition::Count(iterations))
        | Some(Condition::Fuel(iterations))
        | Some(Condition::YieldAfter(iterations)) => repeat_local_r(body, *iterations),
        Some(Condition::RoleDecides(_)) => Err(ConversionError::UnsupportedFeature {
            feature: "Loop".to_string(),
            hint: "Role-decides loops should be desugared to choice+recursion before theory conversion"
                .to_string(),
        }),
        Some(Condition::Custom(_)) | Some(Condition::YieldWhen(_)) | None => {
            Err(ConversionError::UnsupportedFeature {
                feature: "Loop".to_string(),
                hint: "Only finite counted loops currently lower to LocalTypeR; use recursion for open-ended loops"
                    .to_string(),
            })
        }
    }
}

// ============================================================================
// Comparison utilities
// ============================================================================

/// Compare two LocalTypeR values for structural equivalence.
///
/// This compares the structure, ignoring payload sorts (which are often Unit
/// in DSL-generated types).
// RECURSION_SAFE: synchronized structural recursion over finite type trees.
pub fn local_types_equivalent(lt1: &LocalTypeR, lt2: &LocalTypeR) -> bool {
    match (lt1, lt2) {
        (LocalTypeR::End, LocalTypeR::End) => true,

        (LocalTypeR::Var(v1), LocalTypeR::Var(v2)) => v1 == v2,

        (LocalTypeR::Mu { var: v1, body: b1 }, LocalTypeR::Mu { var: v2, body: b2 }) => {
            // Syntactic equality (not alpha-equivalence); requires matching variable names
            v1 == v2 && local_types_equivalent(b1, b2)
        }

        (
            LocalTypeR::Send {
                partner: p1,
                branches: bs1,
            },
            LocalTypeR::Send {
                partner: p2,
                branches: bs2,
            },
        ) => {
            p1 == p2
                && bs1.len() == bs2.len()
                && bs1
                    .iter()
                    .zip(bs2.iter())
                    .all(|((l1, _vt1, c1), (l2, _vt2, c2))| {
                        l1.name == l2.name && local_types_equivalent(c1, c2)
                    })
        }

        (
            LocalTypeR::Recv {
                partner: p1,
                branches: bs1,
            },
            LocalTypeR::Recv {
                partner: p2,
                branches: bs2,
            },
        ) => {
            p1 == p2
                && bs1.len() == bs2.len()
                && bs1
                    .iter()
                    .zip(bs2.iter())
                    .all(|((l1, _vt1, c1), (l2, _vt2, c2))| {
                        l1.name == l2.name && local_types_equivalent(c1, c2)
                    })
        }

        _ => false,
    }
}

#[cfg(test)]
mod tests {
    use super::super::annotation::Annotations;
    use super::super::NonEmptyVec;
    use super::*;
    use proc_macro2::Ident;
    use proc_macro2::Span;

    fn ident(s: &str) -> Ident {
        Ident::new(s, Span::call_site())
    }

    fn role(name: &str) -> super::super::Role {
        super::super::Role::new(ident(name)).unwrap()
    }

    fn message(name: &str) -> MessageType {
        MessageType {
            name: ident(name),
            type_annotation: None,
            payload: None,
        }
    }

    #[test]
    fn test_simple_send_conversion() {
        // A -> B: msg. end
        let protocol = Protocol::Send {
            from: role("A"),
            to: role("B"),
            message: message("msg"),
            continuation: Box::new(Protocol::End),
            annotations: Annotations::new(),
            from_annotations: Annotations::new(),
            to_annotations: Annotations::new(),
        };

        let global = protocol_to_global(&protocol).unwrap();
        assert!(
            matches!(global, GlobalTypeCore::Comm { sender, receiver, .. }
            if sender == "A" && receiver == "B")
        );
    }

    #[test]
    fn test_recursive_conversion() {
        // rec Loop { A -> B: msg. Loop }
        let protocol = Protocol::Rec {
            label: ident("Loop"),
            body: Box::new(Protocol::Send {
                from: role("A"),
                to: role("B"),
                message: message("msg"),
                continuation: Box::new(Protocol::Var(ident("Loop"))),
                annotations: Annotations::new(),
                from_annotations: Annotations::new(),
                to_annotations: Annotations::new(),
            }),
        };

        let global = protocol_to_global(&protocol).unwrap();
        assert!(matches!(global, GlobalTypeCore::Mu { var, .. } if var == "Loop"));
    }

    #[test]
    fn test_broadcast_unsupported() {
        let protocol = Protocol::Broadcast {
            from: role("A"),
            to_all: NonEmptyVec::from_head_tail(role("B"), vec![role("C")]),
            message: message("msg"),
            continuation: Box::new(Protocol::End),
            annotations: Annotations::new(),
            from_annotations: Annotations::new(),
        };

        let result = protocol_to_global(&protocol);
        assert!(
            matches!(result, Err(ConversionError::UnsupportedFeature { feature, .. }) if feature == "Broadcast")
        );
    }

    #[test]
    fn test_loop_unsupported() {
        let protocol = Protocol::Loop {
            condition: None,
            body: Box::new(Protocol::End),
        };
        let result = protocol_to_global(&protocol);
        assert!(
            matches!(result, Err(ConversionError::UnsupportedFeature { feature, .. }) if feature == "Loop")
        );
    }

    #[test]
    fn test_parallel_unsupported() {
        let protocol = Protocol::Parallel {
            protocols: NonEmptyVec::from_head_tail(Protocol::End, vec![Protocol::End]),
        };
        let result = protocol_to_global(&protocol);
        assert!(
            matches!(result, Err(ConversionError::UnsupportedFeature { feature, .. }) if feature == "Parallel")
        );
    }

    #[test]
    fn test_local_type_conversion() {
        // Send to B: msg. End
        let local = LocalType::Send {
            to: role("B"),
            message: message("msg"),
            continuation: Box::new(LocalType::End),
        };

        let local_r = local_to_local_r(&local).unwrap();
        assert!(matches!(local_r, LocalTypeR::Send { partner, .. } if partner == "B"));
    }

    #[test]
    fn test_localchoice_unsupported() {
        let local = LocalType::LocalChoice {
            branches: vec![(ident("L"), LocalType::End)],
        };
        let result = local_to_local_r(&local);
        assert!(
            matches!(result, Err(ConversionError::UnsupportedFeature { feature, .. }) if feature == "LocalChoice")
        );
    }

    #[test]
    fn test_timeout_unsupported() {
        let local = LocalType::Timeout {
            duration: std::time::Duration::from_millis(100),
            body: Box::new(LocalType::End),
            on_timeout: Box::new(LocalType::End),
            on_cancel: None,
        };
        let result = local_to_local_r(&local);
        assert!(
            matches!(result, Err(ConversionError::UnsupportedFeature { feature, .. }) if feature == "Timeout")
        );
    }

    #[test]
    fn test_message_conversion_uses_unit_payload_sort() {
        let protocol = Protocol::Send {
            from: role("A"),
            to: role("B"),
            message: MessageType {
                name: ident("payload_msg"),
                type_annotation: None,
                payload: Some(quote::quote! { Vec<u8> }),
            },
            continuation: Box::new(Protocol::End),
            annotations: Annotations::new(),
            from_annotations: Annotations::new(),
            to_annotations: Annotations::new(),
        };

        let global = protocol_to_global(&protocol).expect("conversion should succeed");
        match global {
            GlobalTypeCore::Comm { branches, .. } => {
                let (label, _) = &branches[0];
                assert_eq!(label.sort, PayloadSort::Unit);
            }
            _ => panic!("expected comm"),
        }
    }

    #[test]
    fn test_equivalence_check() {
        let lt1 = LocalTypeR::send("B", Label::new("msg"), LocalTypeR::End);
        let lt2 = LocalTypeR::send("B", Label::new("msg"), LocalTypeR::End);
        let lt3 = LocalTypeR::send("C", Label::new("msg"), LocalTypeR::End);

        assert!(local_types_equivalent(&lt1, &lt2));
        assert!(!local_types_equivalent(&lt1, &lt3));
    }
}