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6 templates · Petri net

Concurrent Systems Petri Net Examples

Petri nets model concurrency formally — places hold tokens, transitions fire when their input places have tokens, and the result is a precise model of parallel, non-deterministic, and synchronized systems.

Standard Murata 1989 + ISO/IEC 15909-1Engine schematex-petriExport SVG · PNG · PDF
How to

How to use a petri net template.

  1. 01Define the places and their initial tokens

    Name each state (place) and say how many tokens start there — these represent the initial system state.

  2. 02Add the transitions

    Name each event that changes state — transitions connect input places (conditions) to output places (effects).

  3. 03Draw the arcs

    Describe which places feed into which transitions and which transitions produce tokens in which places.

  4. 04Verify liveness and safety

    Ask the AI to check for deadlocks (no enabled transitions) or unsafe places (more tokens than expected) in your model.

FAQ

Questions about petri net templates

What is a Petri net?

A mathematical modeling language for concurrent and distributed systems. Circles (places) represent states; rectangles (transitions) represent events; arrows connect them; tokens in places represent system state.

What makes Petri nets better than flowcharts for concurrency?

Petri nets formally model parallelism, synchronization, and non-determinism — concepts that flowcharts cannot represent precisely. Multiple tokens can exist simultaneously, enabling analysis of deadlocks and race conditions.

What does it mean for a transition to "fire"?

A transition fires when all its input places have the required tokens. Firing consumes one token from each input place and produces one token in each output place — changing the system state.