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Qualitative numerical planning is classical planning extended with non-negative real variables that can be increased or decreased "qualitatively", i.e., by positive indeterminate amounts. While deterministic planning with numerical…

Artificial Intelligence · Computer Science 2020-11-30 Blai Bonet , Hector Geffner

Along with the development of quantum technology, finding useful applications of quantum computers has been a central pursuit. Despite various quantum algorithms have been developed, many of them often require strong input assumptions,…

Quantum Physics · Physics 2026-02-25 Nhat A. Nghiem

Many reasoning, planning, and problem-solving tasks share an intrinsic algorithmic nature: correctly simulating each step is a sufficient condition to solve them correctly. We collect pairs of naturalistic and synthetic reasoning tasks to…

Quantum circuit compilation comprises many computationally hard reasoning tasks that nonetheless lie inside #$\mathbf{P}$ and its decision counterpart in $\mathbf{PP}$. The classical simulation of general quantum circuits is a core example.…

Quantum Physics · Physics 2024-03-13 Jingyi Mei , Marcello Bonsangue , Alfons Laarman

Quantum processing unit (QPU) has to satisfy highly demanding quantity and quality requirements on its qubits to produce accurate results for problems at useful scales. Furthermore, classical simulations of quantum circuits generally do not…

Emerging Technologies · Computer Science 2022-07-05 Wei Tang , Margaret Martonosi

Grounding is the task of reducing a first-order theory and finite domain to an equivalent propositional theory. It is used as preprocessing phase in many logic-based reasoning systems. Such systems provide a rich first-order input language…

Logic in Computer Science · Computer Science 2014-01-17 Johan Wittocx , Maarten Mariën , Marc Denecker

The paper introduces a novel representation for Generalized Planning (GP) problems, and their solutions, as C++ programs. Our C++ representation allows to formally proving the termination of generalized plans, and to specifying their…

Artificial Intelligence · Computer Science 2022-06-30 Javier Segovia-Aguas , Yolanda E-Martín , Sergio Jiménez

State-of-the-art inference approaches in probabilistic logic programming typically start by computing the relevant ground program with respect to the queries of interest, and then use this program for probabilistic inference using knowledge…

Artificial Intelligence · Computer Science 2019-11-19 Efthymia Tsamoura , Victor Gutierrez-Basulto , Angelika Kimmig

The inclusion of universal quantification and a form of implication in goals in logic programming is considered. These additions provide a logical basis for scoping but they also raise new implementation problems. When universal and…

Programming Languages · Computer Science 2007-05-23 Gopalan Nadathur , Bharat Jayaraman , Keehang Kwon

Satisfiability Testing (SAT) techniques are well-established in classical computing where they are used to solve a broad variety of problems, e.g., in the design of classical circuits and systems. Analogous to the classical realm, quantum…

Quantum Physics · Physics 2023-01-11 Lucas Berent , Lukas Burgholzer , Robert Wille

Satisfiability Modulo Theories (SMT) specifications often rely on quantifiers to remain concise and declarative. However, checking the satisfiability of such specifications directly can be inefficient. A common optimization is to ground the…

Logic in Computer Science · Computer Science 2026-02-24 Pierre Carbonnelle

This paper studies the possibilities made open by the use of Lazy Clause Generation (LCG) based approaches to Constraint Programming (CP) for tackling sequential classical planning. We propose a novel CP model based on seminal ideas on…

Artificial Intelligence · Computer Science 2023-07-18 Anubhav Singh , Miquel Ramirez , Nir Lipovetzky , Peter J. Stuckey

We present a new algorithm for deciding formula entailment in orthologic (a sound approximation of classical logic) that avoids the costly preprocessing phase of prior implementations while retaining the same $\mathcal{O}(n^2(1+|A|))$…

Logic in Computer Science · Computer Science 2026-05-19 Vladislas de Haldat , Simon Guilloud , Viktor Kunčak

Preparing problems for execution on quantum computers can require many compilation steps. Automated compilation software is useful not only for easier and faster problem execution, but also for facilitating the comparison between different…

Quantum Physics · Physics 2022-05-23 Nicolas PD Sawaya

Quantum machine learning is one of the many potential applications of quantum computing, each of which is hoped to provide some novel computational advantage. However, quantum machine learning applications often fail to outperform classical…

Quantum Physics · Physics 2025-11-07 Gennaro De Luca , Andrew Vlasic , Michael Vitz , Anh Pham

Ground state preparation is a central application of quantum algorithms for electronic structure. We introduce the classical reservoir approach, a low cost variational ansatz tailored to near-term hardware, requiring only nearest-neighbor…

Quantum Physics · Physics 2025-12-25 Zekun He , Dominika Zgid , A. F. Kemper , J. K. Freericks

Fully observable non-deterministic (FOND) planning is becoming increasingly important as an approach for computing proper policies in probabilistic planning, extended temporal plans in LTL planning, and general plans in generalized…

Artificial Intelligence · Computer Science 2018-06-26 Tomas Geffner , Hector Geffner

Quantum signal processing (QSP) has emerged as a unifying subroutine in quantum algorithms. In QSP, we are given a function $f$ and a unitary black-box $U$, and the goal is to construct a quantum circuit for implementing $f(U)$ to a given…

Quantum Physics · Physics 2025-01-14 Abhijeet Alase

The quantified Boolean formula problem (QBF) is a well-known PSpace-complete problem with rich expressive power, and is generally viewed as the SAT analogue for PSpace. Given that many problems today are solved in practice by reducing to…

Data Structures and Algorithms · Computer Science 2026-04-20 Leif Eriksson , Victor Lagerkvist , Sebastian Ordyniak , George Osipov , Fahad Panolan , Mateusz Rychlicki

Composition is something we take for granted in classical algorithms design, and in particular, we take it as a basic axiom that composing ``efficient'' algorithms should result in an ``efficient'' algorithm -- even using this intuition to…

Quantum Physics · Physics 2025-02-14 Stacey Jeffery