🔱 trident

the provable
language

every program compiles to prime-field arithmetic and produces a proof — zheng on nox by default, STARK on Triton — post-quantum, no trusted setup.

The weapon is their language. They gave it all to us. If you learn it, when you really learn it, you begin to perceive time the way that they do. So you can see what's to come.

$ cargo install trident-lang cyber-joy

the compiler + joy, the nox warrior · then: trident build · run · prove · verify · audit · bench

write once, prove anywhere
4 msto prove a program
on nox (zheng)
1.3 KBthe proof — verified
without re-running
1reduction per
field operation
0trusted setup,
elliptic curves
2targets: nox (default)
and Triton VM

hello, proof

program hello_proof

fn main() -> Field {
    let a: Field = divine()
    let b: Field = divine()
    a + b
}

a cryptographic proof that a + b = 20 without revealing a or b.

$ trident build hello.tri
  Compiled -> hello.nox
$ trident prove hello.tri --secret 7,13
  Proved in 8 ms: 17 reductions, 1387 bytes
$ trident verify hello.zheng
  Verification: PASS (zheng proof) · output: [20]
$ trident audit transfer.tri
  All 3 properties verified (0.2s)
  No counterexample exists for any input

bounded loops, no recursion, finite fields — verification is decidable, so audit proves correctness automatically.

why a new language

provable VMs are not CPUs. the machine word is a field element, not a byte — Rust compiled to RISC-V wraps every field operation in byte-level emulation. trident's word is the field element itself. on nox, the default target, a program is a formula over 18 reduction patterns: every field operation is one reduction, the execution trace is the zheng witness, and the cost report before you run equals the reduction count after. on Triton VM the same source compiles to TASM, and the gap to byte-emulating zkVMs is not marginal:

operationtrident on nox (default)trident on Triton VMRust on SP1Rust on RISC Zero
one hash (Poseidon2 / Tip5 / SHA-256)25 reductions1 cycle~3,000~1,000
Merkle path (depth 32)1,906 reductions (825 in hashes)~100 cycles~96,000~32,000

units are the machine's own: a nox reduction is one trace row — one CCS step the prover folds — so the number is the proving bill (a hash is 24 Poseidon2 rounds + 1 squeeze row, and the Merkle path above is 33 of them plus limb plumbing); a Triton cycle is one instruction across six tables. both are exact and static, from trident build --costs. the zkVM columns are cycle counts of RISC-V code emulating field arithmetic.

built different

field elements all the way down

Field · Digest · XField map directly to what the VM computes. costs are known before you run: trident build --costs bills reductions on nox, instructions on Triton — statically.

formal verification, decidable

annotate #[requires] / #[ensures], run trident audit — the compiler proves correctness for every input in Field. no manual proof construction.

content-addressed code

every function's identity is the hash of its normalized AST. names are metadata; certificates travel with the hash, not the name.

the trust chain, broken

the compiler self-hosts and emits a proof that compilation was faithful. Ken Thompson's 1984 backdoor dies here — not audited, proven.

the rosetta stone

one lookup table over Goldilocks reads four ways: hash S-box, neural activation, FHE bootstrap, STARK lookup. quantum · privacy · AI — one field.

proofs compose, calls don't

a proof verifies another proof inside itself. any chain of transactions collapses into a single cryptographic check.

one source, 21 targets

a trident program is written once against field elements; the target is a config, not a rewrite. 21 engines are declared in vm/, each at an honest integration level — declared → documented → lowering → costed → tested. trident build --target <engine> picks one.

tested — end-to-end, proofs land

nox (default · zheng via joy · Goldilocks) · triton (Triton VM · STARK via trisha) · miden (Miden VM · Goldilocks)

costed — scaffold backend + static cost model, not yet tested

sp1 (Mersenne31) · openvm · cairo (Starknet field)

lowering — pipeline wired, emission still stubbed, no cost model

arm64 · x86-64 · riscv (native) · nock (Nockchain)

declared + documented — config and reference, no lowering

risczero · jolt · aztec · avm (Aleo) · evm · wasm · sbpf (Solana) · movevm · polkavm · ckb · tvm (TON)

above the engines sit 25 unions — the operating systems and chains a program can be deployed into, each binding an engine: neptune (bound: runtime bindings in trident, on triton) · linux macos android browser wasi on native and wasm engines · ethereum arbitrum solana polkadot ton near cosmwasm icp sui aptos starknet aztec aleo miden nervos nockchain succinct boundless openvm-network — declared and documented, awaiting bindings. the honest map is reference/targets.md.

the same formula, on silicon

a nox formula is a tree over 18 patterns — small enough to hand-emit for any machine. trident compile -t <backend> turns the very formula joy proves into native code for 28 backends: every one below emitted real output for hello.nox today. honest scope: the emitters cover the atom-level patterns (axis, quote, branch, field arithmetic, bitwise) — programs using hash, divine, structs or state reads are refused with UnsupportedPattern — and they emit code, not traces: execution and proving on this hardware are not wired. the point is that one program already speaks to all of it; making it run and prove there is the next tier.

CPU

x86-64 arm64 (JIT) rv64 rv32 (ESP32) rvv (RISC-V vector) thumb2 (Cortex-M · STM32 · RP2040) hexagon (Qualcomm DSP)

GPU

ptx (CUDA) tensor-cores (wmma) wgsl (WebGPU) spirv (Vulkan)

accelerators

ane (Apple Neural Engine) amx (Apple matrix) intel-amx xla (TPU) onnx cerebras (wafer-scale CSL) upmem (processing-in-memory)

kernel · web

ebpf (Linux kernel) wasm (browser · WASI · every wasm chain)

quantum

qasm (OpenQASM 3.0 circuits) qir (Quantum IR · Azure Quantum)

hardware

verilog (FPGA) systemverilog (ASIC) vhdl

where it runs today

soft3 — the default. trident build emits a nox formula; the joy warrior executes it on nox, proves it with zheng (SuperSpartan + Brakedown + HyperNova folding — hash-based, post-quantum, no trusted setup), reads state from bbg with proofs. one algebra (strata), one hash (hemera), one field, from source to proof.

Neptune Cash--target triton. the only blockchain with recursive STARK proofs in production. trident is its native language, targeting Triton VM: fungible tokens, cards, locks and type scripts are specified in trident, compile to TASM today, and pass tests. the architecture expands targets over time without changing what a trident program is.