The ability to integrate biological signals and execute a functional response when appropriate is critical for sophisticated cell engineering using synthetic biology. Although the CRISPR-Cas system has been harnessed for synthetic manipulation of the genome, it has not been fully utilized for complex environmental signal sensing, integration, and actuation. Here, we develop a split dCas12a platform and show that it allows for the construction of multi-input, multi-output logic circuits in mammalian cells. The system is highly programmable and can generate expandable AND gates with two, three, and four inputs. It can also incorporate NOT logic by using anti-CRISPR proteins as an OFF switch. By coupling the split dCas12a design to multiple tumor-relevant promoters, we provide a proof of concept that the system can implement logic gating to specifically detect breast cancer cells and execute therapeutic immunomodulatory responses.