Sorry, no online dictionaries contain the exact phrase algebra & logic.
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Reverse dictionary results:
1. algebraic statistics
 2. elementary algebra
3. abstract algebra
4. universal algebra
5. algebraic analysis
6. pseudoalgebra
7. algebraization
8. linear algebra
9. algebraic graph theory
10. algebraicity
 11. algebraizability
12. algebraic function
13. algebraic structure
14. simple algebra
15. prealgebra
16. algebraic equation
17. algebrization
18. algebraic geometry
19. algebraic notation
20. σ-algebra
 21. algebraism
22. alternative algebra
23. algebraic combinatorics
24. abelian algebra
25. algebraic variety
26. algebraic number theory
27. antialgebra
28. algebraic integer
29. modern algebra
30. commutative algebra
 31. matrix algebra
32. vector algebra
33. universal arithmetic
34. identity
35. albert algebra
36. boolean algebra
37. algebraic number
38. associative algebra
39. unknown
40. composition algebra

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You can look up the words in the phrase individually using these links:   algebra ?   & ?   logic ?
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