The paper presents two results on the randomized communication complexity of composed functions, providing new composition lower bounds and strengthening previous results.

This paper introduces Abstract Lipschitz Continuity (ALC), a property of functions that relates bounded input differences to output differences.

This paper presents exact quantum algorithms for block compositions of total Boolean functions.

This paper studies the expressive power of tree-structured compositions of EML functions for function approximation.

The paper develops a general framework to exactly characterize the composition of mechanisms satisfying multiple differential privacy constraints, extending known results to arbitrary numbers of const…

This paper introduces classes of functions that compute the k-th solution for certain types of problems and proves their inter-reducibility with corresponding classes for different order functions. It…

This paper presents a new method to convert any function inversion scheme into an efficient preimage reporting scheme.

A novel calculus is introduced that models first-class environments and function application using standard record types.

This paper identifies a technical oversight in Mossel and Peres (2005) theorem on designing Bernoulli factories for multivariable functions and provides a counterexample.

The paper introduces a new term expansion for a calculus with explicit substitutions, allowing the relation of a lambda-calculus with explicit substitutions to Boudol's resource aware lambda-calculus.

This paper formalizes the semantics of a popular property-based testing framework and introduces a restricted version with a compositional semantics.

This paper characterizes the gap between neural network performance and their neural tangent kernel limit on compositional tasks, attributing it to a mismatch between kernel smoothness bias and target…

A novel intersection type system for a λ-calculus with algebraic effects and handlers is introduced.

The paper establishes bijections between tree records, girth of connected endofunctions, and genesis sequences, deriving generating functions for tree and forest record numbers using Cayley's tree fun…

This paper presents a polymorphic calculus with first-class environments that conservatively extends System F with a small-step environment semantics.