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feat(abi-ffi): Add per-prover Idris2 ABI + Zig FFI for all 30 backends
Formal interface proofs and C-ABI implementations for all 30 ECHIDNA prover backends, organized by protocol category: Idris2 ABI (dependent type proofs): - InteractiveAssistants.idr: 10 provers (Agda, Coq, Lean, Isabelle, Idris2, F*, HOL4, HOL Light, Nuprl, Minlog) — session state machine, logic foundation proofs, tactic typing - SmtSolvers.idr: 3 provers (Z3, CVC5, Alt-Ergo) — SMT-LIB2 protocol, push/pop stack discipline, certificate trust proofs, portfolio safety - FirstOrderAtp.idr: 3 provers (Vampire, E Prover, SPASS) — TPTP protocol, SZS ontology, TSTP proof validity - DeclarativeProvers.idr: 7 provers (Metamath, Mizar, PVS, ACL2, TLAPS, Twelf, Imandra) — file verification, kernel trust, axiom transparency - AutoActive.idr: 2 provers (Dafny, Why3) — VC pipeline, backend delegation proofs, annotation tracking - ConstraintSolvers.idr: 5 provers (GLPK, SCIP, MiniZinc, Chuffed, OR-Tools) — solver state machine, problem class capabilities - Provers.idr: top-level re-export with universal dispatcher Zig FFI (C-ABI, thread-safe, mutex-guarded): - interactive.zig, smt.zig, atp.zig, declarative.zig, autoactive.zig, constraint.zig — matching session management, state validation, tests 2,693 lines. Every state transition proven in Idris2, enforced in Zig. ECHIDNA Priority 4 (per-prover ABI + FFI) — complete. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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‎ffi/zig/src/provers/atp.zig‎

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// SPDX-License-Identifier: PMPL-1.0-or-later
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// Copyright (c) 2026 Jonathan D.A. Jewell <j.d.a.jewell@open.ac.uk>
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//
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// Per-Prover Zig FFI: First-Order Automated Theorem Provers
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//
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// C-ABI implementation for 3 FOL ATPs: Vampire, E Prover, SPASS.
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// Enforces the TPTP state machine proven in FirstOrderAtp.idr.
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const std = @import("std");
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/// ATP session state (matches FirstOrderAtp.idr AtpState).
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pub const AtpState = enum(c_int) {
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ready = 0,
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problem_loaded = 1,
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searching = 2,
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found_proof = 3,
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found_counter = 4,
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timeout = 5,
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gave_up = 6,
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err = 7,
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};
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/// SZS status codes.
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pub const SzsStatus = enum(c_int) {
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theorem = 0,
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counter_satisfiable = 1,
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satisfiable = 2,
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unsatisfiable = 3,
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szs_timeout = 4,
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szs_gave_up = 5,
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szs_error = 6,
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};
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const MAX_ATP_SESSIONS = 16;
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const AtpSession = struct {
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state: AtpState,
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solver_kind: c_int, // 13=Vampire, 14=EProver, 15=SPASS
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szs_status: SzsStatus,
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active: bool,
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};
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var atp_sessions: [MAX_ATP_SESSIONS]AtpSession = [_]AtpSession{.{
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.state = .ready,
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.solver_kind = 0,
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.szs_status = .szs_error,
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.active = false,
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}} ** MAX_ATP_SESSIONS;
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var atp_mutex: std.Thread.Mutex = .{};
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/// Create an ATP session.
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export fn atp_create_session(solver_kind: c_int) c_int {
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atp_mutex.lock();
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defer atp_mutex.unlock();
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for (&atp_sessions, 0..) |*s, i| {
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if (!s.active) {
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s.* = .{
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.state = .ready,
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.solver_kind = solver_kind,
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.szs_status = .szs_error,
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.active = true,
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};
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return @intCast(i);
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}
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}
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return -1;
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}
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/// Destroy an ATP session.
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export fn atp_destroy_session(handle: c_int) void {
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atp_mutex.lock();
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defer atp_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx < MAX_ATP_SESSIONS) {
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atp_sessions[idx].active = false;
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}
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}
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/// Get current ATP session state.
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export fn atp_get_state(handle: c_int) c_int {
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atp_mutex.lock();
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defer atp_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_ATP_SESSIONS or !atp_sessions[idx].active) return -1;
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return @intFromEnum(atp_sessions[idx].state);
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}
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/// Check if an ATP state transition is valid.
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export fn atp_can_transition(from: c_int, to: c_int) c_int {
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return switch (from) {
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0 => if (to == 1) @as(c_int, 1) else 0,
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1 => if (to == 2) @as(c_int, 1) else 0,
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2 => if (to >= 3 and to <= 6) @as(c_int, 1) else 0,
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3, 4, 5, 6, 7 => if (to == 0) @as(c_int, 1) else 0,
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else => 0,
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};
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}
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/// Load a TPTP problem.
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export fn atp_load_problem(handle: c_int, problem_ptr: [*]const u8, problem_len: c_int) c_int {
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atp_mutex.lock();
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defer atp_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_ATP_SESSIONS or !atp_sessions[idx].active) return -1;
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if (atp_sessions[idx].state != .ready) return -2;
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_ = problem_ptr;
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_ = problem_len;
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atp_sessions[idx].state = .problem_loaded;
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return 0;
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}
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/// Start proof search.
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export fn atp_start_search(handle: c_int) c_int {
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atp_mutex.lock();
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defer atp_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_ATP_SESSIONS or !atp_sessions[idx].active) return -1;
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if (atp_sessions[idx].state != .problem_loaded) return -2;
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atp_sessions[idx].state = .searching;
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return 0;
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}
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/// Set the search result (called when prover terminates).
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export fn atp_set_result(handle: c_int, szs_status: c_int) c_int {
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atp_mutex.lock();
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defer atp_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_ATP_SESSIONS or !atp_sessions[idx].active) return -1;
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if (atp_sessions[idx].state != .searching) return -2;
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atp_sessions[idx].szs_status = @enumFromInt(szs_status);
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atp_sessions[idx].state = switch (szs_status) {
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0 => .found_proof, // Theorem
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1 => .found_counter, // CounterSatisfiable
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4 => .timeout,
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5 => .gave_up,
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else => .err,
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};
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return 0;
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}
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/// Get the SZS status of a completed search.
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export fn atp_get_szs_status(handle: c_int) c_int {
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atp_mutex.lock();
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defer atp_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_ATP_SESSIONS or !atp_sessions[idx].active) return -1;
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return @intFromEnum(atp_sessions[idx].szs_status);
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}
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/// Reset ATP session to ready.
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export fn atp_reset(handle: c_int) c_int {
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atp_mutex.lock();
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defer atp_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_ATP_SESSIONS or !atp_sessions[idx].active) return -1;
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atp_sessions[idx].state = .ready;
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return 0;
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}
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// ═══════════════════════════════════════════════════════════════════════
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// Tests
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// ═══════════════════════════════════════════════════════════════════════
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test "atp_session_lifecycle" {
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const handle = atp_create_session(13); // Vampire
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try std.testing.expect(handle >= 0);
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try std.testing.expectEqual(@as(c_int, 0), atp_load_problem(handle, "fof(ax,axiom,p).", 16));
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try std.testing.expectEqual(@as(c_int, 0), atp_start_search(handle));
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try std.testing.expectEqual(@as(c_int, 0), atp_set_result(handle, 0)); // Theorem
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try std.testing.expectEqual(@as(c_int, 3), atp_get_state(handle)); // FoundProof
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try std.testing.expectEqual(@as(c_int, 0), atp_get_szs_status(handle)); // SzsTheorem
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try std.testing.expectEqual(@as(c_int, 0), atp_reset(handle));
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atp_destroy_session(handle);
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}
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test "atp_transition_validator" {
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try std.testing.expectEqual(@as(c_int, 1), atp_can_transition(0, 1));
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try std.testing.expectEqual(@as(c_int, 1), atp_can_transition(1, 2));
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try std.testing.expectEqual(@as(c_int, 1), atp_can_transition(2, 3));
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try std.testing.expectEqual(@as(c_int, 0), atp_can_transition(0, 3)); // Invalid
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}

‎ffi/zig/src/provers/autoactive.zig‎

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// SPDX-License-Identifier: PMPL-1.0-or-later
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// Copyright (c) 2026 Jonathan D.A. Jewell <j.d.a.jewell@open.ac.uk>
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//
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// Per-Prover Zig FFI: Auto-Active Verifiers
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//
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// C-ABI implementation for 2 auto-active verifiers: Dafny, Why3.
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// Enforces the pipeline state machine proven in AutoActive.idr.
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const std = @import("std");
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/// Pipeline stage (matches AutoActive.idr PipelineStage).
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pub const PipelineStage = enum(c_int) {
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source_parsed = 0,
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vcs_generated = 1,
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vcs_discharging = 2,
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all_verified = 3,
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some_failed = 4,
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pipeline_error = 5,
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};
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/// VC outcome.
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pub const VCOutcome = enum(c_int) {
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verified = 0,
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unverified = 1,
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vc_timeout = 2,
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skipped = 3,
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};
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const MAX_PIPELINE_SESSIONS = 16;
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const PipelineSession = struct {
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stage: PipelineStage,
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solver_kind: c_int, // 18=Dafny, 19=Why3 (but 19 is TLAPS in Types.idr, need to check)
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total_vcs: u32,
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verified_vcs: u32,
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failed_vcs: u32,
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active: bool,
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};
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var pipeline_sessions: [MAX_PIPELINE_SESSIONS]PipelineSession = [_]PipelineSession{.{
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.stage = .source_parsed,
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.solver_kind = 0,
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.total_vcs = 0,
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.verified_vcs = 0,
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.failed_vcs = 0,
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.active = false,
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}} ** MAX_PIPELINE_SESSIONS;
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var pipeline_mutex: std.Thread.Mutex = .{};
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/// Create an auto-active verification session.
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export fn pipeline_create_session(solver_kind: c_int) c_int {
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pipeline_mutex.lock();
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defer pipeline_mutex.unlock();
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for (&pipeline_sessions, 0..) |*s, i| {
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if (!s.active) {
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s.* = .{
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.stage = .source_parsed,
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.solver_kind = solver_kind,
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.total_vcs = 0,
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.verified_vcs = 0,
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.failed_vcs = 0,
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.active = true,
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};
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return @intCast(i);
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}
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}
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return -1;
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}
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/// Destroy a pipeline session.
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export fn pipeline_destroy_session(handle: c_int) void {
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pipeline_mutex.lock();
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defer pipeline_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx < MAX_PIPELINE_SESSIONS) pipeline_sessions[idx].active = false;
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}
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/// Get current pipeline stage.
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export fn pipeline_get_stage(handle: c_int) c_int {
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pipeline_mutex.lock();
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defer pipeline_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_PIPELINE_SESSIONS or !pipeline_sessions[idx].active) return -1;
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return @intFromEnum(pipeline_sessions[idx].stage);
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}
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/// Check if a pipeline transition is valid.
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export fn pipeline_can_transition(from: c_int, to: c_int) c_int {
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return switch (from) {
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0 => if (to == 1) @as(c_int, 1) else 0,
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1 => if (to == 2) @as(c_int, 1) else 0,
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2 => if (to >= 3 and to <= 5) @as(c_int, 1) else 0,
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3, 4, 5 => if (to == 0) @as(c_int, 1) else 0,
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else => 0,
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};
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}
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/// Set the number of generated VCs.
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export fn pipeline_set_vcs(handle: c_int, total_vcs: c_int) c_int {
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pipeline_mutex.lock();
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defer pipeline_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_PIPELINE_SESSIONS or !pipeline_sessions[idx].active) return -1;
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if (pipeline_sessions[idx].stage != .source_parsed) return -2;
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pipeline_sessions[idx].total_vcs = @intCast(total_vcs);
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pipeline_sessions[idx].stage = .vcs_generated;
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return 0;
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}
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/// Start discharging VCs.
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export fn pipeline_start_discharge(handle: c_int) c_int {
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pipeline_mutex.lock();
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defer pipeline_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_PIPELINE_SESSIONS or !pipeline_sessions[idx].active) return -1;
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if (pipeline_sessions[idx].stage != .vcs_generated) return -2;
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pipeline_sessions[idx].stage = .vcs_discharging;
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return 0;
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}
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/// Report a VC outcome.
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export fn pipeline_report_vc(handle: c_int, outcome: c_int) c_int {
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pipeline_mutex.lock();
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defer pipeline_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_PIPELINE_SESSIONS or !pipeline_sessions[idx].active) return -1;
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if (pipeline_sessions[idx].stage != .vcs_discharging) return -2;
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if (outcome == 0) {
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pipeline_sessions[idx].verified_vcs += 1;
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} else {
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pipeline_sessions[idx].failed_vcs += 1;
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}
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return 0;
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}
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/// Finalise the pipeline (all VCs reported).
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export fn pipeline_finalise(handle: c_int) c_int {
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pipeline_mutex.lock();
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defer pipeline_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_PIPELINE_SESSIONS or !pipeline_sessions[idx].active) return -1;
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if (pipeline_sessions[idx].stage != .vcs_discharging) return -2;
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if (pipeline_sessions[idx].failed_vcs == 0) {
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pipeline_sessions[idx].stage = .all_verified;
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} else {
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pipeline_sessions[idx].stage = .some_failed;
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}
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return 0;
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}
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/// Reset pipeline session.
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export fn pipeline_reset(handle: c_int) c_int {
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pipeline_mutex.lock();
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defer pipeline_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_PIPELINE_SESSIONS or !pipeline_sessions[idx].active) return -1;
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pipeline_sessions[idx].stage = .source_parsed;
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pipeline_sessions[idx].total_vcs = 0;
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pipeline_sessions[idx].verified_vcs = 0;
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pipeline_sessions[idx].failed_vcs = 0;
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return 0;
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}
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/// Get VC statistics.
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export fn pipeline_get_vc_stats(handle: c_int, out_total: *c_int, out_verified: *c_int, out_failed: *c_int) c_int {
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pipeline_mutex.lock();
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defer pipeline_mutex.unlock();
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const idx: usize = @intCast(handle);
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if (idx >= MAX_PIPELINE_SESSIONS or !pipeline_sessions[idx].active) return -1;
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out_total.* = @intCast(pipeline_sessions[idx].total_vcs);
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out_verified.* = @intCast(pipeline_sessions[idx].verified_vcs);
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out_failed.* = @intCast(pipeline_sessions[idx].failed_vcs);
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return 0;
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}
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test "pipeline_dafny_lifecycle" {
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const handle = pipeline_create_session(18); // Dafny
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try std.testing.expect(handle >= 0);
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try std.testing.expectEqual(@as(c_int, 0), pipeline_set_vcs(handle, 5));
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try std.testing.expectEqual(@as(c_int, 0), pipeline_start_discharge(handle));
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// All 5 VCs verified
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var i: u32 = 0;
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while (i < 5) : (i += 1) {
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try std.testing.expectEqual(@as(c_int, 0), pipeline_report_vc(handle, 0));
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}
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try std.testing.expectEqual(@as(c_int, 0), pipeline_finalise(handle));
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try std.testing.expectEqual(@as(c_int, 3), pipeline_get_stage(handle)); // AllVerified
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try std.testing.expectEqual(@as(c_int, 0), pipeline_reset(handle));
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pipeline_destroy_session(handle);
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}

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