This paper presents Calf, a dependent type theory for cost verification, which synthesizes the physicist's and banker's views on amortized analysis using potential functions and credit annotations.

The paper proposes integrating dependent pattern matching into the unification process in dependently typed languages to synthesize functions defined by case analysis, addressing the limitation of exi…

This paper provides translations between two graded coeffect systems, enabling the transfer of results and ideas between them.

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.

The paper proposes Fresco, a novel bidirectional type inference approach for first-class polymorphism that enables local type information to flow back and forth between functions and arguments.

This paper introduces the because-calculus, a calculus that structurally separates registration and attestation using dual effect rows and level-indexed typing, and proves the Conflation Theorem.

This paper introduces Generalized Constraint Projection (GCP), a zero-annotation inference framework for dynamically typed languages, which separates sources of evidence for function parameters and pr…

The paper establishes that for quantifier-free dependence logic formulas, the property of k-coherence is equivalent to first-order rewritability, and analyzes the computational complexity of checking…

This paper develops distributive laws for parallel composition in a rely/guarantee style theory for reasoning about concurrent programs.

This paper provides a focused, preparatory introduction to sheaves and topoi, establishing the necessary structural background to understand the advanced sheaf-theoretic framework used in cryptographi…

This paper introduces a new way to represent finite posets as subwords of finite words in categories, and characterizes the monic categories that admit this representation.

The paper analyzes a fragment of Higher-Order Datalog, showing that restricting recursion to a linear form shifts its expressive power from time complexity to space complexity, specifically capturing…

This paper introduces the Value Causal Markov Condition (v-CMC) for linking causality and utility, and develops its foundations.

FPMoE introduces a sparse Mixture-of-Experts (MoE) architecture to improve functional code generation across multiple functional programming languages, achieving state-of-the-art performance with fewe…

The paper provides a constructive, intuitionistically valid proof of Rice's Theorem and the Halting Problem undecidability by reducing the problem to the undecidability of Hilbert's Tenth Problem (MRD…

This paper introduces an activation hierarchy and proves a Predictor-Impossibility Theorem, showing that no effective predictor family can determine all stage languages. It also establishes a slice th…