geolog-zeta-fork/examples/geolog/petri_trace_coverage_test.geolog

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2026-02-26 11:50:51 +01:00
// Test: Trace coverage axiom (simplified)
theory PetriNet {
P : Sort;
T : Sort;
out : Sort;
out/src : out -> T;
out/tgt : out -> P;
}
theory (N : PetriNet instance) Trace {
F : Sort;
F/of : F -> N/T;
output_terminal : Sort;
output_terminal/src : output_terminal -> [firing : F, arc : N/out];
// Simplified ax5: for every arc and firing, if the arc's source is the firing's transition,
// create an output terminal
ax5 : forall f : F, arc : N/out. |- exists o : output_terminal. o output_terminal/src = [firing: f, arc: arc];
}
instance SimpleNet : PetriNet = {
A : P;
B : P;
t : T;
arc_out : out;
arc_out out/src = t;
arc_out out/tgt = B;
}
// Trace with just a firing - chase should create a terminal
instance TestTrace : SimpleNet Trace = chase {
f1 : F;
f1 F/of = SimpleNet/t;
}