TASK: Write a deterministic, language-agnostic specification for TTE computation.

INPUT DATA:
- MODEL_SPEC.events and MODEL_SPEC.tte_definition from Prompt 1
- A simulated time grid t_k = t0 + k*dt, k=0..K
- Arrays sampled at each grid point:
  V_term[k], z[k], Δ[k]

METHODOLOGY:
1) Define event signals:
   gV[k] = V_term[k] - V_cut
   gz[k] = z[k] - 0
   gΔ[k] = Δ[k] - 0
2) Crossing rule:
   A crossing occurs for event e when g_e[k-1] > 0 and g_e[k] ≤ 0.
3) Interpolated crossing time for event e:
   t_e* = t[k-1] + (0 - g_e[k-1])*(t[k]-t[k-1])/(g_e[k]-g_e[k-1])
   (If denominator = 0, set t_e* = t[k].)
4) Multi-event tie-breaking:
   If multiple events cross in the same step, compute each t_e* and choose the smallest.
   If equal within 1e-9, prioritize in this order:
      DELTA_ZERO > V_CUTOFF > SOC_ZERO
5) Output:
   - TTE_seconds = t* - t0
   - termination_reason
   - termination_step_index k
   - termination_values at t* using linear interpolation for (V_term, z, Δ)

DELIVERABLES:
A) “TTE_SPEC” section: the above as precise pseudocode with no ambiguity.
B) A minimal test suite (exact numeric arrays) containing 3 tests:
   Test 1: voltage cutoff triggers
   Test 2: SOC hits zero first
   Test 3: Δ hits zero first (power infeasible)
For each test, provide expected outputs exactly (TTE_seconds, reason, t*).

VALIDATION:
- Must detect the correct earliest event (by construction of tests).
- Must reproduce expected t* to within absolute error ≤ 1e-9 in the tests.
- Must never take sqrt of negative Δ during event evaluation (use sampled Δ).

OUTPUT FORMAT (strict):
1) Header line: "TTE_SPEC_v1"
2) Pseudocode block
3) "TESTS_v1" as JSON with {tests:[...]} including expected outputs
No additional text.