7,482 papers · page 20 of 375
The representation of functions in higher-order languages includes both the function’s code and an environment structure that captures the bindings of the function’s free variables. This paper explores caller-provided environments, where instead of packaging the entirety of a fun…
We study row polymorphism for records types in systems with set-theoretic types, specifically, union, intersection, and negation types. We consider record types that embed row variables and define a subtyping relation by interpreting record types into sets of record values, and r…
Kleene Algebra with Tests (KAT) provides an elegant algebraic framework for describing non-deterministic finite-state computations. Using a small finite set of non-deterministic programming constructs (sequencing, non-deterministic choice, and iteration) it is able to express all…
Embedding Multimode Type Theory (MTT) as a library enables the usage of additional reasoning principles in off-the-shelf proof assistants without risking soundness or compatibility. Moreover, by interpreting embedded MTT terms in an internally constructed model of MTT, we can ext…
The human ability to think about thinking ("theory of mind") is a fundamental object of study in many disciplines. In recent decades, researchers across these disciplines have converged on a rich computational paradigm for modeling theory of mind, grounded in recursive probabilis…
The Satisfiability Modulo Theory (SMT) problem over floating-point operations presents a significant challenge. State-of-the-art SMT solvers often run into difficulties when dealing with large, complex floating-point constraints. Recently, a new approach to floating-point constra…
Code style transformation models built on code Language Models (code LMs) have achieved remarkable success. However, they typically focus on basis style transformations, where the target style follows a single criterion, and often struggle with combination styles, where the targe…
We introduce a novel decision procedure for solving the class of position string constraints, which includes string disequalities, ¬prefixof, ¬suffixof, str.at, and ¬str.at. These constraints are generated frequently in almost any application of string constraint solving. Our pro…
Version space algebra (VSA) is an effective data structure for representing sets of programs and has been extensively used in program synthesis. Despite this success, a crucial shortcoming of VSA-based synthesis is its inefficiency when processing many examples. Given a set of IO…
Image processing workflows typically consist of a series of different functions, each working with “image” inputs and outputs in an abstract sense. However, the specific in-memory representation of images differs between and sometimes within libraries. Conversion is therefore nec…
Confidential computing (CC), designed for security-critical scenarios, uses remote attestation to guarantee code integrity on cloud servers. However, CC alone cannot provide assurance of high-level security properties (e.g., no data leak) on the code. In this paper, we introduce …
Advanced probabilistic programming languages (PPLs) using hybrid particle filtering combine symbolic exact inference and Monte Carlo methods to improve inference performance. These systems use heuristics to partition random variables within the program into variables that are enc…
We study the problem of automated hypersafety verification of infinite-state recursive programs . We propose an infinite class of product programs , specifically designed with recursion in mind, that reduce the hypersafety verification of a recursive program to standard safety ve…
Despite recent development of quantum program verification, it is still in its early stage, where many quantum programs are hard to verify due to their inherent probabilistic nature and parallelism in quantum superposition. We propose Qafny c , a system that compiles quantum prog…
Multi-stage programming is a popular approach to typed meta-programming, reducing abstraction overhead and producing performant programs. However, the traditional quote-and-splice staging syntax, as introduced by Rowan Davies in 1996, can introduce complexities in managing expres…
Probabilistic inference is fundamentally hard, yet many tasks require optimization on top of inference, which is even harder. We present a new optimization-via-compilation strategy to scalably solve a certain class of such problems. In particular, we introduce a new intermediate …
In formal hardware verification, particularly for Register-Transfer Level (RTL) designs in Verilog, model checking has been the predominant technique. However, it suffers from state explosion, limited expressive power, and a large trusted computing base (TCB). Deductive verificat…
In this paper, we develop and study the following perspective - just as higher-order functions give exponentials, higher-order continuations give coexponentials. From this, we design a language that combines exponentials and coexponentials, producing a duality of lambda abstracti…
Program text is rendered using impoverished typographic styles. Beyond choice of fonts and syntax-highlighting colors, code editors and related tools utilize very few text decorations. These limited styles are, furthermore, applied in monolithic fashion, regardless of the program…
We present a novel characterization of stable mergesort functions using relational parametricity, and show that it implies the functional correctness of mergesort. As a result, one can prove the correctness of several variations of mergesort (e.g., top-down, bottom-up, tail-recur…