2 papers
math.LO2025
Continuous Algebra: Algebraic Semantics for Continuous Propositional Logic
Purbita Jana, Prateek
We present algebraic semantics for Continuous Propositional Logic, CPL, introduced by Itai Ben Yaacov, viewed as Łukasiewicz propositional logic with a reversed truth-falsity orien…
math.AP2024
Boundary fractional Hardy's inequality in dimension one: The critical case
Adimurthi, Purbita Jana, Prosenjit Roy
We prove fractional boundary Hardy's inequality in dimension one for the critical case . Optimality of the inequality is obtained for any . The extra logarithmic correcti…