Reduced variants of stream ciphers What are "reduced variants" of stream ciphers and how do they relate to lightweight cryptography?

How do their internal states compare to those of non-reduced variants? Security aspects?
I am aware of reduced variants of Salsa20 (Salsa20/12 and Salsa20/8). These are variants of Salsa20 using reduced number of hashing rounds (12 and 8 instead of standard 20).

This is the same idea as reducing number of rounds of a block cipher - you get better performance by undermining security.