Bounded-retry agent — the verified-termination poster child
A naive `failed -> working` retry arrow creates a livelock the model checker would reject. Here the retry COUNT lives in memory and the loop is bounded, so the machine always reaches succeeded or exhausted. Run: SOMA_LLM_MOCK=echo soma run bounded_retry.cell --signal attempt "flaky-op" 2 Test: SOMA_LLM_MOCK=echo soma test bounded_retry.cell
A Soma program from the agents part of the verified corpus: 60 lines, cells Retrier, RetryTests. It passes soma check with soma 3.2.4.
How it is built
The cell Retrier declares 1 signal in its face: attempt(name: String, fail_times: Int) -> Map. Its state machine run starts in idle and allows 4 transitions: idle -> working, working -> succeeded, working -> exhausted and * -> failed. exhausted, failed and succeeded are terminal. Handlers: attempt (line 24).
The file also holds 1 test cell (RetryTests) with 5 assertions, run by soma test.
The source
soma.toml
[package]
name = "agents-corpus"
version = "0.1.0"
description = "Verified AI-agent example cells (training corpus)"
# Agent LLM config. `mock = "echo"` keeps every example in this directory
# hermetic: `soma test` / `soma run` need no network and no API key, and
# results are deterministic. For a live run, delete the `mock` line (or
# override with SOMA_LLM_MOCK) and provide the key via env.
[agent]
provider = "anthropic"
model = "claude-opus-4-6"
key = "${ANTHROPIC_API_KEY}"
mock = "echo"
# Termination proof for verified_termination.cell's `workflow` machine:
# every path eventually reaches a terminal, no deadlocks.
# `cells` scopes these properties to Solver — the other agents in this
# directory have their own state names and must not inherit them.
[verify]
cells = ["Solver"]
deadlock_free = true
eventually = ["done", "failed"]
[verify.after.understanding]
eventually = ["solving", "failed"]
[verify.after.solving]
eventually = ["verifying", "failed"]
[verify.after.verifying]
eventually = ["done", "failed"]bounded_retry.cell
// Bounded-retry agent — the verified-termination poster child.
// A naive `failed -> working` retry arrow creates a livelock the model
// checker would reject. Here the retry COUNT lives in memory and the loop
// is bounded, so the machine always reaches succeeded or exhausted.
//
// Run: SOMA_LLM_MOCK=echo soma run bounded_retry.cell --signal attempt "flaky-op" 2
// Test: SOMA_LLM_MOCK=echo soma test bounded_retry.cell
cell agent Retrier {
face {
signal attempt(name: String, fail_times: Int) -> Map
}
state run {
initial: idle
idle -> working
working -> succeeded
working -> exhausted
* -> failed
}
// Simulates an operation that fails `fail_times`, then succeeds.
// The loop is bounded by max_tries, so it cannot run forever.
on attempt(name: String, fail_times: Int) {
let id = to_string(next_id())
transition(id, "working")
let max_tries = 5
let tries = 0
let ok = false
while tries < max_tries {
tries = tries + 1
if tries > fail_times {
ok = true
break
}
}
if ok {
transition(id, "succeeded")
return map("status", "succeeded", "op", name, "tries", tries)
}
transition(id, "exhausted")
map("status", "exhausted", "op", name, "tries", tries)
}
}
cell test RetryTests {
rules {
// Fails twice then succeeds on the 3rd try.
assert attempt("op", 2).status == "succeeded"
assert attempt("op", 2).tries == 3
// Fails more than the bound → exhausted, but still terminates.
assert attempt("op", 9).status == "exhausted"
assert attempt("op", 9).tries == 5
// Succeeds immediately.
assert attempt("op", 0).tries == 1
}
}What the toolchain says
$ soma check bounded_retry.cell
✓ All checks passed.$ soma test bounded_retry.cell
test RetryTests ...
✓ assert attempt("op", 2).status == "succeeded"
✓ assert attempt("op", 2).tries == 3
✓ assert attempt("op", 9).status == "exhausted"
✓ assert attempt("op", 9).tries == 5
✓ assert attempt("op", 0).tries == 1
5 tests: 5 passed, 0 failed$ soma verify bounded_retry.cell
Verifying bounded_retry.cell...
note: soma.toml [verify] cells names 'Solver', which this file does not define — its properties are not checked here
State machine 'run': 5 states, initial 'idle'
States: [exhausted, failed, idle, succeeded, working]
✓ 5 states, 7 transitions
✓ all states reachable from 'idle'
✓ terminal states: [failed]
✓ no deadlocks
✓ liveness: every state can eventually reach a terminal state
✓ wildcard transitions: * -> [failed]
⚠ `* -> failed` also adds exhausted -> failed, succeeded -> failed — so exhausted, succeeded are not final. If they should stay final, write `* -> failed except [exhausted, succeeded]`
✓ think-isolated: CTL safety properties hold regardless of LLM output (1 handlers, 3 literal transitions, 0 dynamic)
⚠ handler `attempt`: while-loop without provable termination bound (write `while [loop_bound(N)] cond { … }`, or a for-loop over a bounded range)
⚠ refinement: declared transition `* → failed` is never reached by any handler — spec may be aspirational or stale
✓ refinement: handler `attempt` ⟶ {working, succeeded [if ok], exhausted}
· transition sources: `attempt` calls transition(id, target) without declaring the source — the runtime refuses a move the graph forbids, but the proof does not see where the handler starts; `transition(id, from, to)` names the edge (checked by `soma check`, refused at run time from any other state)
8 passed, 3 warnings, 0 failures
Temporal properties for 'run':
✓ deadlock_free — no deadlocks in any reachable state
soma.toml: 4 user-defined properties loaded — NONE applies to this file ([verify] cells = ["Solver"] names no cell of it)
Temporal: 1 passed, 0 failed
VERIFY OK