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Answer for the clue "Logical system error mostly with unfruitful broken lab gear ", 15 letters:
boolean algebra

Word definitions for boolean algebra in dictionaries

Wikipedia Word definitions in Wikipedia
In abstract algebra , a Boolean algebra or Boolean lattice is a complemented distributive lattice . This type of algebraic structure captures essential properties of both set operations and logic operations. A Boolean algebra can be seen as a generalization ...

Usage examples of boolean algebra.

This was an animated introduction to sets, leading into Boolean Algebra, with color as an additional tool.

Amrita was retreating into a world of number theory and Boolean Algebra.

The actual content was zero, as honest metaphysics must be, but I loaded it with Boolean algebra, which (if solved) proved that Dzhugashvili was a murdering scoundrel.

It went through physics, astronomy, molecular biology, inorganic chemistry, differential calculus, and Boolean algebra like hydrochloric acid through gossamer.