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Understanding why a model makes a certain prediction can be as crucial as the prediction's accuracy in many applications. However, the highest accuracy for large modern datasets is often achieved by complex models that even experts struggle…

Artificial Intelligence · Computer Science 2017-11-28 Scott Lundberg , Su-In Lee

The main goal of concept-oriented programming (COP) is describing how objects are represented and accessed. It makes references (object locations) first-class elements of the program responsible for many important functions which are…

Software Engineering · Computer Science 2014-09-16 Alexandr Savinov

Unsupervised learning allows us to leverage unlabelled data, which has become abundantly available, and to create embeddings that are usable on a variety of downstream tasks. However, the typical lack of interpretability of unsupervised…

Machine Learning · Computer Science 2023-09-29 Gregory Scafarto , Madalina Ciortan , Simon Tihon , Quentin Ferre

Answer Set Programming with Quantifiers (ASP(Q)) has been introduced to provide a natural extension of ASP modeling to problems in the polynomial hierarchy (PH). However, ASP(Q) lacks a method for encoding in an elegant and compact way…

Artificial Intelligence · Computer Science 2025-01-22 Giuseppe Mazzotta , Francesco Ricca , Mirek Truszczynski

Constructing complex computation from simpler building blocks is a defining problem of computer science. In algebraic automata theory, we represent computing devices as semigroups. Accordingly, we use mathematical tools like products and…

Group Theory · Mathematics 2025-05-06 Attila Egri-Nagy , Chrystopher L. Nehaniv

Rules in logic programming encode information about mutual interdependencies between literals that is not captured by any of the commonly used semantics. This information becomes essential as soon as a program needs to be modified or…

Artificial Intelligence · Computer Science 2011-03-02 Martin Slota , João Leite

We introduce an operational rewriting-based semantics for strictly positive nested higher-order (co)inductive types. The semantics takes into account the "limits" of infinite reduction sequences. This may be seen as a refinement and…

Logic in Computer Science · Computer Science 2023-06-22 Łukasz Czajka

There are two possible computational interpretations of second-order arithmetic: Girard's system F or Spector's bar recursion and its variants. While the logic is the same, the programs obtained from these two interpretations have a…

Logic in Computer Science · Computer Science 2018-04-04 Valentin Blot

Recent research in mechanistic interpretability has attempted to reverse-engineer Transformer models by carefully inspecting network weights and activations. However, these approaches require considerable manual effort and still fall short…

Machine Learning · Computer Science 2023-11-01 Dan Friedman , Alexander Wettig , Danqi Chen

Logic programming is sometimes described as relational programming: a paradigm in which the programmer specifies and composes n-ary relations using systems of constraints. An advanced logic programming environment will provide tools that…

Programming Languages · Computer Science 2009-03-16 Andy King

A method for selecting solution constructors in narrowing is presented. The method is based on a sort discipline that describes regular sets of ground constructor terms as sorts. It is extended to cope with regular sets of ground…

Formal Languages and Automata Theory · Computer Science 2019-04-19 Jochen Burghardt

In this work, we study two types of constraints on two-dimensional binary arrays. In particular, given $p,\epsilon>0$, we study (i) The $p$-bounded constraint: a binary vector of size $m$ is said to be $p$-bounded if its weight is at most…

Information Theory · Computer Science 2022-08-22 Tuan Thanh Nguyen , Kui Cai , Han Mao Kiah , Kees A. Schouhamer Immink , Yeow Meng Chee

Graph translation is very promising research direction and has a wide range of potential real-world applications. Graph is a natural structure for representing relationship and interactions, and its translation can encode the intrinsic…

Machine Learning · Computer Science 2021-03-17 Tianxiang Zhao , Xianfeng Tang , Xiang Zhang , Suhang Wang

The purpose of a program analysis is to compute an abstract meaning for a program which approximates its dynamic behaviour. A compositional program analysis accomplishes this task with a divide-and-conquer strategy: the meaning of a program…

Programming Languages · Computer Science 2013-10-15 Azadeh Farzan , Zachary Kincaid

This short paper describes a simple and intuitive Prolog program, a metainterpreter, that computes the bottom up meaning of a simple positive Horn clause definition. It involves a simple transformation of the object program rules into…

Programming Languages · Computer Science 2025-02-14 David S. Warren

We investigate program equivalence for linear higher-order(sequential) languages endowed with primitives for computational effects. More specifically, we study operationally-based notions of program equivalence for a linear…

Programming Languages · Computer Science 2021-06-25 Ugo Dal Lago , Francesco Gavazzo

In this paper, we show that while almost all functions require exponential size branching programs to compute, for all functions $f$ there is a branching program computing a doubly exponential number of copies of $f$ which has linear size…

Computational Complexity · Computer Science 2017-02-23 Aaron Potechin

Human cognition excels at symbolic reasoning, deducing abstract rules from limited samples. This has been explained using symbolic and connectionist approaches, inspiring the development of a neuro-symbolic architecture that combines both…

Artificial Intelligence · Computer Science 2024-05-24 Mohamed Mejri , Chandramouli Amarnath , Abhijit Chatterjee

Deep neural networks have been well-known for their superb handling of various machine learning and artificial intelligence tasks. However, due to their over-parameterized black-box nature, it is often difficult to understand the prediction…

Machine Learning · Computer Science 2022-07-18 Xuhong Li , Haoyi Xiong , Xingjian Li , Xuanyu Wu , Xiao Zhang , Ji Liu , Jiang Bian , Dejing Dou

Question answering requiring discrete reasoning, e.g., arithmetic computing, comparison, and counting, over knowledge is a challenging task. In this paper, we propose UniRPG, a semantic-parsing-based approach advanced in interpretability…

Computation and Language · Computer Science 2022-10-18 Yongwei Zhou , Junwei Bao , Chaoqun Duan , Youzheng Wu , Xiaodong He , Tiejun Zhao