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Abductive reasoning generates explanatory hypotheses for new observations using prior knowledge. This paper investigates the use of forgetting, also known as uniform interpolation, to perform ABox abduction in description logic (ALC)…

Artificial Intelligence · Computer Science 2018-11-14 Warren Del-Pinto , Renate A. Schmidt

Commutativity of program code (i.e. the equivalence of two code fragments composed in alternate orders) is of ongoing interest in many settings such as program verification, scalable concurrency, and security analysis. While some have…

Programming Languages · Computer Science 2024-11-27 Jared Pincus , Eric Koskinen

We introduce a new symbolic representation based on an original generalization of counter abstraction. Unlike classical counter abstraction (used in the analysis of parameterized systems with unordered or unstructured topologies) the new…

Logic in Computer Science · Computer Science 2015-03-20 Ahmed Rezine

The symbolic-heap fragment of separation logic has been actively developed and advocated for verifying the memory-safety property of computer programs. At present, one of its biggest challenges is to effectively prove entailments containing…

Logic in Computer Science · Computer Science 2017-11-09 Quang-Trung Ta , Ton Chanh Le , Siau-Cheng Khoo , Wei-Ngan Chin

The entailment between separation logic formulae with inductive predicates, also known as symbolic heaps, has been shown to be decidable for a large class of inductive definitions. Recently, a 2-EXPTIME algorithm was proposed and an…

Logic in Computer Science · Computer Science 2020-04-17 Mnacho Echenim , Radu Iosif , Nicolas Peltier

ASP programs are a convenient tool for problem solving, whereas with large problem instances the size of the state space can be prohibitive. We consider abstraction as a means of over-approximation and introduce a method to automatically…

Logic in Computer Science · Computer Science 2018-09-19 Zeynep G. Saribatur , Thomas Eiter

Assumption-based Argumentation (ABA) is a well-known structured argumentation formalism, whereby arguments and attacks between them are drawn from rules, defeasible assumptions and their contraries. A common restriction imposed on ABA…

Artificial Intelligence · Computer Science 2024-01-09 Markus Ulbricht , Nico Potyka , Anna Rapberger , Francesca Toni

Static analysis by abstract interpretation aims at automatically proving properties of computer programs. To do this, an over-approximation of program semantics, defined as the least fixpoint of a system of semantic equations, must be…

Programming Languages · Computer Science 2013-05-02 Olivier Bouissou , Yassamine Seladji , Alexandre Chapoutot

We consider the verification of parameterized networks of replicated processes whose architecture is described by hyperedge-replacement graph grammars. Due to the undecidability of verification problems such as reachability or coverability…

Formal Languages and Automata Theory · Computer Science 2025-02-24 Marius Bozga , Radu Iosif , Arnaud Sangnier , Neven Villani

We present an approach to automatically synthesise recursive predicates in Separation Logic (SL) from concrete data structure instances using Inductive Logic Programming (ILP) techniques. The main challenges to make such synthesis effective…

Programming Languages · Computer Science 2025-02-21 Ziyi Yang , Ilya Sergey

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2008-11-04 David Monniaux

The distributed representations currently used are dense and uninterpretable, leading to interpretations that themselves are relative, overcomplete, and hard to interpret. We propose a method that transforms these word vectors into reduced…

Computation and Language · Computer Science 2024-11-14 Biraj Silwal

This is a motivating tutorial introduction to a semantic analysis of programming languages using a graphical language as the representation of terms, and graph rewriting as a representation of reduction rules. We show how the graphical…

Programming Languages · Computer Science 2021-02-05 Dan R. Ghica

Motivated by considerations in the foundations of quantum mechanics and inspired by the literature on vague predicates, we introduce the concept of an opaque predicate. While in the case of vague predicates there is a kind of indeterminacy…

Quantum Physics · Physics 2007-05-23 Decio Krause , Steven French

The system PL permits the translation of abstract proofs of program correctness into programs in a variety of programming languages. A programming language satisfying certain axioms may be the target of such a translation. The system PL…

Software Engineering · Computer Science 2007-05-23 David A. Plaisted

We formalize the semantics of hybrid systems as sets of hybrid trajectories, including those generated by an hybrid transition system. We study the abstraction of hybrid trajectory semantics for verification, static analysis, and…

Logic in Computer Science · Computer Science 2022-09-30 Patrick Cousot

Probabilistic abstract interpretation is a theory used to extract particular properties of a computer program when it is infeasible to test every single inputs. In this paper we apply the theory on neural networks for the same purpose: to…

Artificial Intelligence · Computer Science 2026-03-27 Zhuofan Zhang , Herbert Wiklicky

Synthesizing programs from examples requires searching over a vast, combinatorial space of possible programs. In this search process, a key challenge is representing the behavior of a partially written program before it can be executed, to…

Programming Languages · Computer Science 2021-04-21 Maxwell Nye , Yewen Pu , Matthew Bowers , Jacob Andreas , Joshua B. Tenenbaum , Armando Solar-Lezama

We present abstraction-refinement algorithms for model checking safety properties of timed automata. The abstraction domain we consider abstracts away zones by restricting the set of clock constraints that can be used to define them, while…

Formal Languages and Automata Theory · Computer Science 2019-05-27 Victor Roussanaly , Ocan Sankur , Nicolas Markey

In this paper we revisit the well-known technique of predicate abstraction to characterise performance attributes of system models incorporating probability. We recast the theory using expectation transformers, and identify transformer…

Logic in Computer Science · Computer Science 2010-06-29 Ukachukwu Ndukwu , Annabelle McIver
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