Ponens Policy Language

Version: 0.2 · companion to POLICY_SPEC_v0_2

A policy is a machine-checkable rule over a trace. Each policy carries a formula written in this language and is evaluated over a trace as a conformance check — the trace either satisfies the formula (pass), violates it (fail), or contains nothing the policy applies to (not_applicable).

The language is LTLf — linear temporal logic over finite traces — extended with scoped-past operators and first-order structural predicates over the typed artifact graph. Formulas that use only standard temporal operators and action-type propositions are plain propositional LTLf; formulas that use quantifiers, set comprehensions, or lineage predicates require a richer evaluation engine. Every policy declares which fragment it uses in its language_level field (see §3).

This is the reader-friendly operator reference. The canonical, typed definition of the language lives in POLICY_SPEC_v0_2 §9–13 (the OCaml / IML form); this companion presents the same operators as tables and worked examples — the two are kept in lock-step at the same version.

Notation. Policy formula fields in the gallery use the unicode surface shown here (→, ∧, ∨, ¬, P_target); POLICY_SPEC §10 gives the equivalent ASCII / OCaml form (->, /\, \/, not, typed constructors like PTarget). They denote the same language.

1. Design rationale

Why LTL as the foundation

A bespoke JSON DSL (must_have_prior_action, must_derive_from_artifact_type, …) encodes temporal meaning implicitly. Every rule type becomes a one-off encoding of a temporal pattern, which leads to:

a growing vocabulary of rule types as new patterns appear;
ambiguous semantics (what exactly does “prior” mean — anywhere? in the dependency chain?);
no composition model (how do you negate or combine rules?);
no connection to existing verification tooling.

LTL supplies the temporal foundation instead:

a small set of operators covers all temporal patterns;
the semantics are mathematically precise;
formulas compose naturally with ∧, ∨, ¬;
established model checkers and runtime monitors can evaluate traces against LTL properties.

Beyond plain LTL

Not every trace policy is a purely propositional temporal property. Some need:

scoped temporality — “previously on the same file” vs “previously anywhere in the trace”;
quantification over artifacts or inputs — ∀ input ∈ inputs(a);
graph reachability over the artifact DAG — ancestors(derived_from);
data-aware checks — target_artifact_id ∈ {a.id | a.type = IMLModel}.

The policy language is therefore LTL extended with scoped operators and first-order predicates over traces.

Specification-level notation

The formula field holds a specification-level formula with precise semantics — it is not the concrete input syntax of any one tool. Compilation to a model checker’s language or to a runtime monitor is a separate implementation step. ponens ships a reference evaluator that runs the check offline.

2. Operators

2.1 Future-time operators

Operator	Name	Meaning
`G φ`	Globally	`φ` holds at every position in the trace
`F φ`	Finally	`φ` holds at some future position
`X φ`	Next	`φ` holds at the next position
`φ U ψ`	Until	`φ` holds at every position until `ψ` holds

2.2 Past-time operators

Past-time LTL (PLTL) is especially natural for trace policies, since most rules look backwards from a triggering event.

Operator	Name	Meaning
`P φ`	Previously	`φ` held at some earlier position
`H φ`	Historically	`φ` held at every earlier position
`φ S ψ`	Since	`φ` has held at every position since `ψ` last held
`φ S_last ψ`	Since last	`φ` held at some point since the most recent `ψ` (or trace start if no `ψ`)

2.3 Scoped past-time operators

Plain P φ means “at some earlier position.” That is often too weak. For policies that require relevant prior work — not just any prior work — scoped operators restrict the search:

Operator	Name	Meaning
`P_target φ`	Previously (same target)	`φ` held at some earlier position targeting the same file, module, or artifact
`P_chain φ`	Previously (dependency chain)	`φ` held at some earlier position in the artifact lineage of the current action
`H_target φ`	Historically (same target)	`φ` held at every earlier same-target position
`H_chain φ`	Historically (dependency chain)	`φ` held at every earlier position in the dependency chain

Choosing the right scope:

P (global) — any prior match suffices. Use for coarse workflow checks like tests_before_commit.
P_target — the prior match must concern the same file or artifact. Use for research_before_edit.
P_chain — the prior match must lie in the artifact dependency chain. Use for reasoning_required_for_high_stakes.

2.4 Boolean connectives

Operator	Name
`¬φ`	Negation
`φ ∧ ψ`	Conjunction
`φ ∨ ψ`	Disjunction
`φ → ψ`	Implication

2.5 Atomic propositions

Atomic propositions are evaluated at each position (action) in the trace:

Action types — EditFile, ReadFile, GitCommit, RunTests, DeleteFile, CreateFile, SearchCode, AnalyzeCode, ReadDocumentation, Formalize, Verify, DefineVG, Decompose, GenerateTests, …
Action categories — gateway, reasoning, activity
Status predicates — completed, failed
Field predicates — rationale ≠ ∅
Path predicates — high_stakes_path (matches configured path patterns)
Trace-level predicates — start_event, end_event

2.6 Structural predicates

These go beyond propositional LTL — they read the typed artifact graph and require a richer evaluation engine.

Artifact types — VerificationGoal, VerificationResult, IMLModel, Decomposition, GeneratedTests, UserApproval, Observation (a monitor’s evidence, Trace Spec 1.12 §10.11)
Result status — proved, refuted, sat, unknown
Evidence attribution (ORACLE_SPEC v0.2 §6) — read from the attribution block of the artifacts an action produced: strength_at_least(s) (the result’s honest evidence_strength is at least s; false when unranked), oracle_type(t) (the producing oracle’s mechanism is t, or specializes it), produced_by(id) (the producing oracle’s id), conforms_to(ref) (the action produced conformance evidence judged against the reference artifact ref — TRACE_SPEC §11.2; the argument is taken verbatim up to the closing paren, and an unversioned id such as ref:atlas:mifir-rts22-art4 matches any version). Oracle invocations are also atoms by their typed action: Verify, Test, Analyze, Observe, Judge, Attest.
Lineage — ancestors(derived_from), the transitive closure of derived_from over the artifact DAG
Reference integrity — target_artifact_id ∈ {a.id | a.type = T}
Set operations — inputs(a), outputs(b), target(a), and set comprehensions {… | …}

2.7 Quantifiers

Used in structural policies that reason over collections:

∀ x ∈ S — for all elements in set S
∃ x ∈ S — there exists an element in set S
∃! x ∈ S — there exists exactly one element in set S

2.8 Interpretation over traces

A trace τ = a₀, a₁, …, aₙ is a finite sequence of actions over an artifact graph. A formula φ is evaluated at position i:

(τ, i) ⊨ G φ iff for all j ≥ i, (τ, j) ⊨ φ
(τ, i) ⊨ F φ iff there exists j ≥ i such that (τ, j) ⊨ φ
(τ, i) ⊨ P φ iff there exists j < i such that (τ, j) ⊨ φ
(τ, i) ⊨ H φ iff for all j < i, (τ, j) ⊨ φ
(τ, i) ⊨ φ S ψ iff there exists j < i with (τ, j) ⊨ ψ and for all k, j < k < i, (τ, k) ⊨ φ

Scoped operators restrict the witnessing position j to those sharing the current action’s target (P_target, H_target) or lying in its derived_from lineage (P_chain, H_chain).

3. Language levels

Every policy declares the fragment it uses in its language_level field. This tells the evaluator (and the reviewer) how much machinery a check needs.

`language_level`	Uses	Example
`pure_temporal`	future/past operators + atomic propositions only	`tests_before_commit`
`scoped_temporal`	adds scoped-past operators (`P_target`, `P_chain`, …)	`research_before_edit`
`structural`	adds quantifiers, set comprehensions, and lineage predicates	`data_flow_integrity`

4. Standard encodings

Real policies from the gallery, with their language_level:

tests_before_commit — pure temporal

G(GitCommit → P(RunTests ∧ completed))

Every commit is preceded by a test run that completed.

research_before_edit — scoped temporal

G(EditFile → P_target(ReadFile ∨ ReadDocumentation ∨ SearchCode ∨ AnalyzeCode))

No edit without first reading or searching the relevant code (same target).

reasoning_required_for_high_stakes — scoped temporal

G(EditFile ∧ high_stakes_path → P_chain(VerificationResult(proved ∨ sat) ∨ Decomposition))

On a high-stakes path, an edit must be backed — somewhere in its lineage — by a proof, a SAT result, or a decomposition.

data_flow_integrity — structural

G(∀ input ∈ inputs(a) → ∃! b . b < a ∧ input ∈ outputs(b))

Every input an action consumes was produced by exactly one earlier action — the lineage DAG has no dangling or ambiguous edges.

no_open_critical_residuals — structural

¬∃ r ∈ residuals . r.severity = Critical ∧ r.status = Open

The trace cannot ship with an unresolved critical gap on its residual surface.

5. Evaluation semantics

Evaluating a policy against a trace yields one of three results:

pass — the formula holds over the trace.
fail — the formula is violated; the evaluator reports the witnessing position(s).
not_applicable — the policy’s trigger never occurs (e.g. a commit policy on a trace with no commit). N/A results are excluded when a grade renormalizes compliance.

Evaluation may occur:

once for the whole trace, after completion;
incrementally as actions are appended (runtime monitoring);
at specific checkpoints (e.g. before a commit action is permitted).

For runtime monitoring, past-time formulas are evaluated incrementally: each new action requires only local computation against the current state and a finite set of accumulated obligations. This makes PLTL well suited to online policy enforcement during agent execution — blocking an action before it violates a policy.

6. Relationship to other work

Conformance checking of finite execution traces against temporal-logic constraints is the foundation of DECLARE / declarative process mining and of runtime verification. The Ponens Policy Language applies that established machinery to the traces produced by AI coding agents, and extends it with the scoped-past and structural operators needed to talk about a typed artifact graph (files, models, verification results, lineage) rather than a flat event log.

See also the Policy Specification (the policy object, selectors, and evaluation records) and the Trace Specification (the actions and artifacts these formulas range over).