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We present a novel approach to differential cost analysis that, given a program revision, attempts to statically bound the difference in resource usage, or cost, between the two program versions. Differential cost analysis is particularly…

Programming Languages · Computer Science 2022-04-08 Đorđe Žikelić , Bor-Yuh Evan Chang , Pauline Bolignano , Franco Raimondi

Relational program verification is a variant of program verification where one can reason about two programs and as a special case about two executions of a single program on different inputs. Relational program verification can be used for…

Programming Languages · Computer Science 2019-10-23 Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Pierre-Yves Strub

Relational type systems have been designed for several applications including information flow, differential privacy, and cost analysis. In order to achieve the best results, these systems often use relational refinements and relational…

Programming Languages · Computer Science 2020-11-18 Ezgi Çiçek , Weihao Qu , Gilles Barthe , Marco Gaboardi , Deepak Garg

Several relational program logics have been introduced for integrating reasoning about relational properties of programs and measurement of quantitative difference between computational effects. Towards a general framework for such logics,…

Programming Languages · Computer Science 2023-08-28 Tetsuya Sato , Shin-ya Katsumata

Relational reasoning is the ability to infer relations that jointly bind multiple entities, attributes, or variables. This ability is central to scientific reasoning, but existing evaluations of relational reasoning in large language models…

Artificial Intelligence · Computer Science 2026-04-15 Lukas Fesser , Yasha Ektefaie , Ada Fang , Sham M. Kakade , Marinka Zitnik

We present Decalf, a directed, effectful cost-aware logical framework for studying quantitative aspects of functional programs with effects. Like Calf, the language is based on an internal phase distinction between the behavior of a program…

Programming Languages · Computer Science 2026-05-22 Harrison Grodin , Yue Niu , Jonathan Sterling , Robert Harper

Symbolic execution is a classical program analysis technique used to show that programs satisfy or violate given specifications. In this work we generalize symbolic execution to support program analysis for relational specifications in the…

Programming Languages · Computer Science 2019-08-05 Gian Pietro Farina , Stephen Chong , Marco Gaboardi

Hoare-style program logics are a popular and effective technique for software verification. Relational program logics are an instance of this approach that enables reasoning about relationships between the execution of two or more programs.…

Programming Languages · Computer Science 2022-09-09 Robert Dickerson , Qianchuan Ye , Michael K. Zhang , Benjamin Delaware

This article presents a type-based analysis for deriving upper bounds on the expected execution cost of probabilistic programs. The analysis is naturally compositional, parametric in the cost model, and supports higher order functions and…

Programming Languages · Computer Science 2020-09-23 Di Wang , David M Kahn , Jan Hoffmann

This article is concerned with automated complexity analysis of term rewrite systems. Since these systems underlie much of declarative programming, time complexity of functions defined by rewrite systems is of particular interest. Among…

Logic in Computer Science · Computer Science 2011-06-02 Nao Hirokawa , Georg Moser

A standard informal method for analyzing the asymptotic complexity of a program is to extract a recurrence that describes its cost in terms of the size of its input, and then to compute a closed-form upper bound on that recurrence. We give…

Programming Languages · Computer Science 2022-08-09 Norman Danner , Daniel R. Licata

This paper introduces a formal method to model the level of demand on control when executing cognitive processes. The cost of cognitive control is parsed into an intensity cost which encapsulates how much additional input information is…

Neurons and Cognition · Quantitative Biology 2017-06-02 Kayhan Ozcimder , Biswadip Dey , Sebastian Musslick , Giovanni Petri , Nesreen K. Ahmed , Theodore L. Willke , Jonathan D. Cohen

Many interesting program properties involve the execution of multiple programs, including observational equivalence, noninterference, co-termination, monotonicity, and idempotency. One strategy for verifying such relational properties is to…

Programming Languages · Computer Science 2025-03-13 Robert Dickerson , Prasita Mukherjee , Benjamin Delaware

Practitioners often navigate LLM performance trade-offs by plotting Pareto frontiers of optimal accuracy-cost trade-offs. However, this approach offers no way to compare between LLMs with distinct strengths and weaknesses: for example, a…

Artificial Intelligence · Computer Science 2025-07-08 Michael J. Zellinger , Matt Thomson

Most existing methods determine relation types only after all the entities have been recognized, thus the interaction between relation types and entity mentions is not fully modeled. This paper presents a novel paradigm to deal with…

Computation and Language · Computer Science 2018-11-12 Ryuichi Takanobu , Tianyang Zhang , Jiexi Liu , Minlie Huang

Widespread adoption of AI systems hinges on their ability to generate economic value that outweighs their inference costs. Evaluating this tradeoff requires metrics accounting for both performance and costs. Building on production theory,…

Artificial Intelligence · Computer Science 2026-02-27 Mehmet Hamza Erol , Batu El , Mirac Suzgun , Mert Yuksekgonul , James Zou

We introduce a framework for automatically choosing data structures to support efficient computation of analytical workloads. Our contributions are twofold. First, we introduce a novel low-level intermediate language that can express the…

Databases · Computer Science 2021-12-28 Amir Shaikhha , Marios Kelepeshis , Mahdi Ghorbani

Difference constraints have been used for termination analysis in the literature, where they denote relational inequalities of the form x' <= y + c, and describe that the value of x in the current state is at most the value of y in the…

Programming Languages · Computer Science 2015-08-21 Moritz Sinn , Florian Zuleger , Helmut Veith

Language models can be used to identify relationships between financial entities in text. However, while structured output mechanisms exist, prompting-based pipelines still incur autoregressive decoding costs and decouple graph construction…

Computation and Language · Computer Science 2026-04-14 Yingjie Niu , Changhong Jin , Rian Dolphin , Ruihai Dong

Document-level relation extraction (RE) aims to extract the relations between entities from the input document that usually containing many difficultly-predicted entity pairs whose relations can only be predicted through relational…

Computation and Language · Computer Science 2022-11-29 Liang Zhang , Jinsong Su , Yidong Chen , Zhongjian Miao , Zijun Min , Qingguo Hu , Xiaodong Shi
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