Sorry, no online dictionaries contain the exact phrase movable cellular automata.
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Reverse dictionary results:
1. automaton
 2. pda
3. machines
4. cue
5. sets
6. gradient
7. collapse
8. glider
9. android
10. animatronics
 11. automatic
12. bot
13. huxley
14. robot
15. agent
16. compartment
17. curriculum
18. environment
19. factor
20. fuzzy
 21. interaction
22. learning
23. logic
24. module
25. mobile
26. backlash
27. bail
28. carrier
29. excursion
30. free
 31. freeing
32. semaphore
33. cell
34. hypodermis
35. nucleus
36. manumotive
37. tower
38. flesh
39. parenchyma
40. pumice

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You can look up the words in the phrase individually using these links:   movable ?   cellular ?   automata ?
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mova*to search for words beginning with mova, or
*matato search for words ending with mata
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