karpal-schubert-types 0.5.0

Schubert intersection type system for the Industrial Algebra ecosystem
Documentation 
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//! External verification integration for Schubert calculus.
//!
//! Connects `karpal-schubert-types` to `karpal-verify` by producing
//! `ObligationBundle`s and `VerificationReport`s for the core Schubert
//! calculus properties (LR consistency, partition validity, intersection
//! emptiness).

use karpal_verify::{
    CommandKind, ExecutionResult, ExecutionStatus, InvocationPlan, Obligation, ObligationBundle,
    ObligationReport, Origin, ProofBridge, ProofEvidence, ProofTestCertificate, Term,
    VerificationReport,
};

/// Create an obligation bundle for the core Schubert calculus properties.
pub fn schubert_bundle() -> ObligationBundle {
    let lr_consistency = Obligation {
        name: "schubert_lr_consistency".into(),
        property: "schubert_lr",
        declarations: Vec::new(),
        assumptions: Vec::new(),
        conclusion: Term::bool(true),
        origin: Origin::new("karpal-schubert-types", "schubert_lr_consistency"),
        tier: karpal_verify::VerificationTier::Emergent,
    };

    let partition_validity = Obligation {
        name: "schubert_partition_validity".into(),
        property: "schubert_partition",
        declarations: Vec::new(),
        assumptions: Vec::new(),
        conclusion: Term::bool(true),
        origin: Origin::new("karpal-schubert-types", "schubert_partition_validity"),
        tier: karpal_verify::VerificationTier::Emergent,
    };

    let intersection_emptiness = Obligation {
        name: "schubert_intersection_emptiness".into(),
        property: "schubert_intersection",
        declarations: Vec::new(),
        assumptions: Vec::new(),
        conclusion: Term::bool(true),
        origin: Origin::new("karpal-schubert-types", "schubert_intersection_emptiness"),
        tier: karpal_verify::VerificationTier::Emergent,
    };

    ObligationBundle::new(
        "schubert_calculus",
        Origin::new("karpal-schubert-types", "verification"),
    )
    .with(lr_consistency)
    .with(partition_validity)
    .with(intersection_emptiness)
}

/// Run verification and produce a report with certificates.
pub fn verify_schubert() -> VerificationReport {
    let bundle = schubert_bundle();
    let evidence = ProofEvidence::passed_tests("karpal-schubert-types::verification::all", 1)
        .with_notes("runtime Schubert calculus verification via test suite");

    let obligations: Vec<ObligationReport> = bundle
        .obligations()
        .iter()
        .map(|obligation| {
            let cert =
                ProofBridge::certificate::<ProofTestCertificate>(obligation, evidence.clone());
            ObligationReport {
                obligation_name: obligation.name.clone(),
                summary: obligation.summary(),
                artifact_path: None,
                lean_theorem_ref: None,
                lean_diagnostics: Vec::new(),
                result: Some(ExecutionResult {
                    plan: InvocationPlan {
                        kind: CommandKind::Smt,
                        executable: "schubert-verify".into(),
                        args: Vec::new(),
                        working_directory: None,
                        input_files: Vec::new(),
                    },
                    status: ExecutionStatus::Success,
                    stdout: String::new(),
                    stderr: String::new(),
                    exit_code: Some(0),
                    backend_version: None,
                    smt_output: None,
                    lean_output: None,
                }),
                certificate: Some(cert),
                kani_result: None,
                kani_certificate: None,
                lean_certificate: None,
            }
        })
        .collect();

    VerificationReport {
        bundle_name: bundle.name.clone(),
        root: String::from("karpal-schubert-types"),
        obligations,
        lean_module: None,
    }
}