← Church Machine

Figure 8 — Pure Church Processor Block Diagram

Three-block architecture proving computational completeness with zero Turing-domain hardware. The Lambda Reducer executes 6 Church instructions with no ALU. The Capability Validator enforces dual-gate TSB security. The I/O Mediator is the sole physical interface. Everything absent from conventional processors is absent by design.

Block 1: Lambda Reducer Pure lambda calculus execution engine — no arithmetic hardware Instruction Decode (5-bit opcode + ARM-style 4-bit condition) 6 Church Instructions LOAD c-list → CR (L perm) SAVE CR → c-list (S perm) CALL domain crossing (E perm) LAMBDA fast path (X perm) RETURN exit abstraction TPERM attenuate permissions Fused Instructions (cycle reduction) ELOADCALL (LOAD+CALL) XLOADLAMBDA (LOAD+LAMBDA) CR0-CR7 (Context Registers) Machine Status (λ regs) Block 2: Capability Validator (Dual-Gate TSB) Trusted Security Base — the only hardware that touches Golden Tokens mLoad (Read Gate) Permission (R/W/X/L/S/E) Bounds Check Version Match MAC/Seal Verify G-bit Reset (G←0) CR Write + Thread Shadow mSave (Write Gate) Version Match Seal Validation Target Bounds + B-bit F-bit Detection G-bit Reset (G←0) Seal Recompute + Commit → FAULT on any failure Block 3: I/O Mediator (Sole Physical Interface) Only path between the processor and the outside world Namespace c-list storage Memory Bus unified addr space Device I/O MSB 0xFE segment All access gated by mLoad/mSave — no ungated bus transactions LOAD/SAVE/CALL request validated GT / FAULT gated access request namespace / memory data Absent by Design ✗ No ALU ✗ No barrel shifter ✗ No condition flags ✗ No branch unit ✗ No integer multiply ✗ No FPU ✗ No data registers ✗ No privilege modes ✗ No MMU/TLB ✗ No interrupts ✗ No cache hierarchy ✗ No speculative exec ✗ No microcode ✗ No pipeline hazards ✗ No Turing ISA Present ✓ Lambda reducer ✓ 6 instructions ✓ 2 fused instrs ✓ 8 context regs ✓ Machine status ✓ Dual-gate TSB ✓ G-bit (GC) ✓ B-bit (bind) ✓ GT type field ✓ Call stack ✓ FAULT handler ✓ Cond execution ✓ Unified addr space ✓ Version counter ✓ I/O mediator Computational Completeness Without Turing Hardware Lambda calculus is computationally complete (Church-Turing thesis). Every computable function can be expressed as lambda terms. The Pure Church Machine proves this in hardware: 6 instructions + dual-gate security + capability GTs = complete, secure computation Data Flow Lambda Reducer decode + dispatch Capability Validator mLoad / mSave gate I/O Mediator namespace + bus External memory / devices Every external access passes through both the Capability Validator and the I/O Mediator — no bypass path exists
Lambda Reducer (6 instructions)
Capability Validator (dual-gate TSB)
I/O Mediator (sole physical interface)
Absent by design