Establishes a complete axiomatization for probabilistic Boolean circuits via Markov kernel semantics, using intermediate completeness theorems for partial Boolean circuits and probabilistic Boolean tapes in rig categories.
In: Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science , LICS ’18, Association for Comput- ing Machinery, New York, NY, USA, pp
3 Pith papers cite this work. Polarity classification is still indexing.
verdicts
UNVERDICTED 3representative citing papers
Generalizes PDL to OPDL by distinguishing programs from traces via arbitrary operational semantics and proves cut-elimination for a non-wellfounded sequent calculus.
The qufinite ZXW calculus is complete for the category FHilb of finite-dimensional Hilbert spaces, as any diagram rewrites to a unique normal form.
citing papers explorer
-
Completeness for Probabilistic Boolean Tapes
Establishes a complete axiomatization for probabilistic Boolean circuits via Markov kernel semantics, using intermediate completeness theorems for partial Boolean circuits and probabilistic Boolean tapes in rig categories.
-
On Propositional Dynamic Logic and Concurrency
Generalizes PDL to OPDL by distinguishing programs from traces via arbitrary operational semantics and proves cut-elimination for a non-wellfounded sequent calculus.
-
Completeness of qufinite ZXW calculus, a graphical language for finite-dimensional quantum theory
The qufinite ZXW calculus is complete for the category FHilb of finite-dimensional Hilbert spaces, as any diagram rewrites to a unique normal form.