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cs.LO2025
Basis-Sensitive Quantum Typing via Realisability
Alejandro Díaz-Caro, Octavio Malherbe, Rafael Romero
We present , a quantum-control -calculus that refines previous basis-sensitive systems by allowing abstractions to be expressed with respect to arbitrary -- possibly entang…
cs.LO2025
An Algebraic Extension of Intuitionistic Linear Logic: The -Calculus and Its Categorical Model
Alejandro Díaz-Caro, Malena Ivnisky, Octavio Malherbe
We introduce the -calculus, a linear lambda-calculus extended with scalar multiplication and term addition, that acts as a proof language for intuitionistic linear logic (IL…