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We introduce Deep Adaptive Semantic Logic (DASL), a novel framework for automating the generation of deep neural networks that incorporates user-provided formal knowledge to improve learning from data. We provide formal semantics that…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Karan Sikka , Andrew Silberfarb , John Byrnes , Indranil Sur , Ed Chow , Ajay Divakaran , Richard Rohwer

We present a program synthesis method based on unfold/fold transformation rules which can be used for deriving terminating definite logic programs from formulas of the Weak Monadic Second Order theory of one successor (WS1S). This synthesis…

Programming Languages · Computer Science 2007-05-23 F. Fioravanti , A. Pettorossi , M. Proietti

An approach for encoding abstract dialectical frameworks and their semantics into classical higher-order logic is presented. Important properties and semantic relationships are formally encoded and proven using the proof assistant…

Logic in Computer Science · Computer Science 2026-04-08 Antoine Martina , Alexander Steen

We present a logical framework for the verification of relational properties in imperative programs. Our work is motivated by relational properties which come from security applications and often require reasoning about formulas with…

Logic in Computer Science · Computer Science 2019-08-13 Gilles Barthe , Renate Eilers , Pamina Georgiou , Bernhard Gleiss , Laura Kovacs , Matteo Maffei

We study the problem of learning probabilistic first-order logical rules for knowledge base reasoning. This learning problem is difficult because it requires learning the parameters in a continuous space as well as the structure in a…

Artificial Intelligence · Computer Science 2017-11-28 Fan Yang , Zhilin Yang , William W. Cohen

We present a method of generating first-order logic statements whose complexity can be controlled along multiple dimensions. We use this method to automatically create several datasets consisting of questions asking for the truth or falsity…

Machine Learning · Computer Science 2025-02-21 Shokhrukh Ibragimov , Arnulf Jentzen , Benno Kuckuck

It is now well-admitted that formal methods are helpful for many issues raised in the Web service area. In this paper we present a framework for the design and verification of WSs using process algebras and their tools. We define a two-way…

Artificial Intelligence · Computer Science 2007-05-23 Andrea Ferrara

An FOL-program consists of a background theory in a decidable fragment of first-order logic and a collection of rules possibly containing first-order formulas. The formalism stems from recent approaches to tight integrations of ASP with…

Programming Languages · Computer Science 2014-05-15 Yi Bi , Jia-Huai You , Zhiyong Feng

We encode arrays as functions which, in turn, are encoded as sets of ordered pairs. The set cardinality of each of these functions coincides with the length of the array it is representing. Then we define a fragment of set theory that is…

Logic in Computer Science · Computer Science 2026-05-12 Maximiliano Cristiá , Gianfranco Rossi

Programs written in C/C++ often include inline assembly: a snippet of architecture-specific assembly code used to access low-level functionalities that are impossible or expensive to simulate in the source language. Although inline assembly…

Programming Languages · Computer Science 2024-09-04 Paulo Emílio de Vilhena , Ori Lahav , Viktor Vafeiadis , Azalea Raad

Thanks to recent advances, AI Planning has become the underlying technique for several applications. Figuring prominently among these is automated Web Service Composition (WSC) at the "capability" level, where services are described in…

Artificial Intelligence · Computer Science 2014-01-16 Jörg Hoffmann , Piergiorgio Bertoli , Malte Helmert , Marco Pistore

The Weak Completion Semantics (WCS) is a computational cognitive theory that has shown to be successful in modeling episodes of human reasoning. As the WCS is a recently developed logic programming approach, this paper investigates the…

Artificial Intelligence · Computer Science 2019-10-17 Emmanuelle-Anna Dietz Saldanha , Jorge Fandinno

In this work, we introduce Contextual Analog Logic with Multimodality (CALM). CALM unites symbolic reasoning with neural generation, enabling systems to make context-sensitive decisions grounded in real-world multi-modal data. Background:…

Artificial Intelligence · Computer Science 2025-06-19 Maxwell J. Jacobson , Corey J. Maley , Yexiang Xue

This talk describes how a combination of symbolic computation techniques with first-order theorem proving can be used for solving some challenges of automating program analysis, in particular for generating and proving properties about the…

Programming Languages · Computer Science 2017-04-17 Laura Kovacs

Matching Logic is a framework for specifying programming language semantics and reasoning about programs. Its formulas are called patterns and are built with variables, symbols, connectives and quantifiers. A pattern is a combination of…

Logic in Computer Science · Computer Science 2018-11-16 Andrei Arusoaie , Dorel Lucanu

In a recent paper by Hellerstein [15], a tight relationship was conjectured between the number of strata of a Datalog${}^\neg$ program and the number of "coordination stages" required for its distributed computation. Indeed, Ameloot et al.…

Databases · Computer Science 2013-12-11 Daniel Zinn , Todd J Green , Bertram Ludäscher

Verifying a real-world program's functional correctness can be decomposed into (1) a refinement proof showing that the program implements a more abstract high-level program and (2) an algorithm correctness proof at the high level.…

Programming Languages · Computer Science 2025-08-22 Shushu Wu , Xiwei Wu , Qinxiang Cao

Logics of limited belief aim at enabling computationally feasible reasoning in highly expressive representation languages. These languages are often dialects of first-order logic with a weaker form of logical entailment that keeps reasoning…

Artificial Intelligence · Computer Science 2017-05-05 Christoph Schwering

Procedural planning, which entails decomposing a high-level goal into a sequence of temporally ordered steps, is an important yet intricate task for machines. It involves integrating common-sense knowledge to reason about complex and often…

We present the Flow-Limited Authorization First-Order Logic (FLAFOL), a logic for reasoning about authorization decisions in the presence of information-flow policies. We formalize the FLAFOL proof system, characterize its proof-theoretic…

Cryptography and Security · Computer Science 2020-12-11 Andrew K. Hirsch , Pedro H. Azevedo de Amorim , Ethan Cecchetti , Ross Tate , Owen Arden
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