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Despite significant progress in post-hoc explanation methods for neural networks, many remain heuristic and lack provable guarantees. A key approach for obtaining explanations with provable guarantees is by identifying a cardinally-minimal…

Investigating the reasoning abilities of transformer models, and discovering new challenging tasks for them, has been a topic of much interest. Recent studies have found these models to be surprisingly strong at performing deductive…

计算与语言 · 计算机科学 2021-12-17 Kyle Richardson , Ashish Sabharwal

The dramatic improvements in combinatorial optimization algorithms over the last decades have had a major impact in artificial intelligence, operations research, and beyond, but the output of current state-of-the-art solvers is often hard…

计算机科学中的逻辑 · 计算机科学 2022-09-27 Stephan Gocht , Jakob Nordström

This paper presents a detailed analysis of the scalability and parallelization of local search algorithms for the Satisfiability problem. We propose a framework to estimate the parallel performance of a given algorithm by analyzing the…

分布式、并行与集群计算 · 计算机科学 2024-05-15 Alejandro Arbelaez , Charlotte Truchet , Philippe Codognet

In this paper, I propose to implement syllabification in OT as a parser. I propose several innovations that result in a finite and small candidate set. The candidate set problem is handled with several moves: i) MAX and DEP violations are…

cmp-lg · 计算机科学 2007-05-23 Michael Hammond

Sets with atoms serve as an alternative to ZFC foundations for mathematics, where some infinite, though highly symmetric sets, behave in a finitistic way. Therefore, one can try to carry over analysis of the classical algorithms from finite…

计算机科学中的逻辑 · 计算机科学 2021-01-26 Michał R. Przybyłek

Over the last two decades, we have seen a dramatic improvement in the efficiency of conflict-driven clause-learning Boolean satisfiability (CDCL SAT) solvers on industrial problems from a variety of domains. The availability of such…

计算机科学中的逻辑 · 计算机科学 2020-05-28 Saeed Nejati , Vijay Ganesh

SMT-based model checkers, especially IC3-style ones, are currently the most effective techniques for verification of infinite state systems. They infer global inductive invariants via local reasoning about a single step of the transition…

计算机科学中的逻辑 · 计算机科学 2020-05-28 Hari Govind V K , YuTing Chen , Sharon Shoham , Arie Gurfinkel

We present a systematic approach to logical predicates based on universal coalgebra and higher-order abstract GSOS, thus making a first step towards a unifying theory of logical relations. We first observe that logical predicates are…

计算机科学中的逻辑 · 计算机科学 2024-01-15 Sergey Goncharov , Alessio Santamaria , Lutz Schröder , Stelios Tsampas , Henning Urbat

Finding exact circuit size is a notorious optimization problem in practice. Whereas modern computers and algorithmic techniques allow to find a circuit of size seven in blink of an eye, it may take more than a week to search for a circuit…

人工智能 · 计算机科学 2022-04-28 Alexander S. Kulikov , Danila Pechenev , Nikita Slezkin

This paper presents a Prolog interface to the MiniSat satisfiability solver. Logic program- ming with satisfiability combines the strengths of the two paradigms: logic programming for encoding search problems into satisfiability on the one…

编程语言 · 计算机科学 2010-09-03 Michael Codish , Vitaly Lagoon , Peter J. Stuckey

In this paper, we propose a first application of data mining techniques to propositional satisfiability. Our proposed Mining4SAT approach aims to discover and to exploit hidden structural knowledge for reducing the size of propositional…

人工智能 · 计算机科学 2013-04-17 Said Jabbour , Lakhdar Sais , Yakoub Salhi

We propose an innovative Parallel Quantum Local Search (PQLS) methodology that leverages the capabilities of small-scale quantum computers to efficiently address complex combinatorial optimization problems. Traditional Quantum Local Search…

量子物理 · 物理学 2024-06-11 Chen-Yu Liu , Kuan-Cheng Chen

We consider an extension of linear-time temporal logic (LTL) with both local and remote data constraints interpreted over a concrete domain. This extension is a natural extension of constraint LTL and the Temporal Logic of Repeating Values,…

计算机科学中的逻辑 · 计算机科学 2022-06-06 Ashwin Bhaskar

In this paper, we define locally matchable subsets of a group which is extracted from the concept of matchings in groups and used as a tool to give alternative proofs for existing results in matching theory. We also give the linear analogue…

群论 · 数学 2019-10-28 Mohsen Aliabadia , Mano Vikash Janardhanan

The saturation-based reasoning methods are among the most theoretically developed ones and are used by most of the state-of-the-art first-order logic reasoners. In the last decade there was a sharp increase in performance of such systems,…

人工智能 · 计算机科学 2008-02-18 Alexandre Riazanov

The ability to model search in a constraint solver can be an essential asset for solving combinatorial problems. However, existing infrastructure for defining search heuristics is often inadequate. Either modeling capabilities are extremely…

人工智能 · 计算机科学 2012-03-07 Tom Schrijvers , Guido Tack , Pieter Wuille , Horst Samulowitz , Peter J. Stuckey

Satisfiability checking for Linear Temporal Logic (LTL) is a fundamental step in checking for possible errors in LTL assertions. Extant LTL satisfiability checkers use a variety of different search procedures. With the sole exception of LTL…

计算机科学中的逻辑 · 计算机科学 2014-04-30 Jianwen Li , Geguang Pu , Lijun Zhang , Moshe Y. Vardi , Jifeng He

In the last two decades, modal and description logics have been applied to numerous areas of computer science, including knowledge representation, formal verification, database theory, distributed computing and, more recently, semantic web…

计算机科学中的逻辑 · 计算机科学 2014-01-16 Roberto Sebastiani , Michele Vescovi

The one of the most interesting problem of discrete mathematics is the SAT (satisfiability) problem. Good way in SAT solver developing is to transform the SAT problem to the problem of continuous search of global minimums of the functional…

密码学与安全 · 计算机科学 2009-07-13 R. T. Faizullin , I. G. Khnykin , V. I. Dylkeyt