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相关论文: Inductive Predicate Synthesis Modulo Programs (Ext…

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This paper presents a verification framework based on a new class of predicate Constraint Satisfaction Problems called pCSP where constraints are represented as clauses modulo first-order theories over function variables and predicate…

编程语言 · 计算机科学 2020-07-08 Hiroshi Unno , Yuki Satake , Tachio Terauchi , Eric Koskinen

Essential tasks for the verification of probabilistic programs include bounding expected outcomes and proving termination in finite expected runtime. We contribute a simple yet effective inductive synthesis approach for proving such…

计算机科学中的逻辑 · 计算机科学 2023-02-09 Kevin Batz , Mingshuai Chen , Sebastian Junges , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

Inductive Logic Programming (ILP) provides interpretable rule learning in relational domains, yet remains limited in its ability to induce and reason with numerical constraints. Classical ILP systems operate over discrete predicates and…

人工智能 · 计算机科学 2025-12-16 Nijesh Upreti , Vaishak Belle

We present a verification technique for program safety that combines Iterated Specialization and Interpolating Horn Clause Solving. Our new method composes together these two techniques in a modular way by exploiting the common Horn Clause…

计算机科学中的逻辑 · 计算机科学 2014-12-04 Emanuele De Angelis , Fabio Fioravanti , Jorge A. Navas , Maurizio Proietti

Verification problems of programs written in various paradigms (such as imperative, logic, concurrent, functional, and object-oriented ones) can be reduced to problems of solving Horn clause constraints on predicate variables that represent…

编程语言 · 计算机科学 2016-10-24 Hiroshi Unno , Sho Torii

Program verification and synthesis frameworks that allow one to customize the language in which one is interested typically require the user to provide a formally defined semantics for the language. Because writing a formal semantics can be…

编程语言 · 计算机科学 2024-09-10 Jiangyi Liu , Charlie Murphy , Anvay Grover , Keith J. C. Johnson , Thomas Reps , Loris D'Antoni

Inductive logic programming (ILP) has been a deeply influential paradigm in AI, enjoying decades of research on its theory and implementations. As a natural descendent of the fields of logic programming and machine learning, it admits the…

人工智能 · 计算机科学 2020-01-16 Vaishak Belle

We address the problem of verifying automatically procedural programs manipulating parametric-size arrays of integers, encoded as a constrained Horn clauses solving problem. We propose a new algorithmic method for synthesizing loop…

编程语言 · 计算机科学 2025-05-23 Ahmed Bouajjani , Wael-Amine Boutglay , Peter Habermehl

We propose a framework for synthesizing inductive invariants for incomplete verification engines, which soundly reduce logical problems in undecidable theories to decidable theories. Our framework is based on the counter-example guided…

编程语言 · 计算机科学 2018-01-15 Daniel Neider , Pranav Garg , P. Madhusudan , Shambwaditya Saha , Daejun Park

This paper describes a deductive approach to synthesizing imperative programs with pointers from declarative specifications expressed in Separation Logic. Our synthesis algorithm takes as input a pair of assertions---a pre- and a…

编程语言 · 计算机科学 2018-11-12 Nadia Polikarpova , Ilya Sergey

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…

编程语言 · 计算机科学 2025-02-21 Ziyi Yang , Ilya Sergey

Constraint-solving-based program invariant synthesis takes a parametric invariant template and encodes the (inductive) invariant conditions into constraints. The problem of characterizing the set of all valid parameter assignments is…

编程语言 · 计算机科学 2024-09-20 Hao Wu , Qiuye Wang , Bai Xue , Naijun Zhan , Lihong Zhi , Zhihong Yang

We report on work in progress on automatic procedures for proving properties of programs written in higher-order functional languages. Our approach encodes higher-order programs directly as first-order SMT problems over Horn clauses. It is…

计算机科学中的逻辑 · 计算机科学 2013-06-25 Nikolaj Bjorner , Ken McMillan , Andrey Rybalchenko

Interrupts have been widely used in safety-critical computer systems to handle outside stimuli and interact with the hardware, but reasoning about interrupt-driven software remains a difficult task. Although a number of static verification…

编程语言 · 计算机科学 2017-09-29 Chungha Sung , Markus Kusano , Chao Wang

The program synthesis problem within the Inductive Logic Programming (ILP) community has typically been seen as untyped. We consider the benefits of user provided types on background knowledge. Building on the Meta-Interpretive Learning…

人工智能 · 计算机科学 2021-02-26 Rolf Morel

Automated synthesis of inductive invariants is an important problem in software verification. Once all the invariants have been specified, software verification reduces to checking of verification conditions. Although static analyses to…

机器学习 · 计算机科学 2020-07-17 Sahil Bhatia , Saswat Padhi , Nagarajan Natarajan , Rahul Sharma , Prateek Jain

Interior point methods (IPMs) are a common approach for solving linear programs (LPs) with strong theoretical guarantees and solid empirical performance. The time complexity of these methods is dominated by the cost of solving a linear…

最优化与控制 · 数学 2022-02-04 Gregory Dexter , Agniva Chowdhury , Haim Avron , Petros Drineas

In deductive verification and software model checking, dealing with certain specification language constructs can be problematic when the back-end solver is not sufficiently powerful or lacks the required theories. One way to deal with this…

计算机科学中的逻辑 · 计算机科学 2024-12-10 Jesper Amilon , Zafer Esen , Dilian Gurov , Christian Lidström , Philipp Rümmer , Marten Voorberg

Semantics-Guided Synthesis (SemGuS) provides a framework to specify synthesis problems in a solver-agnostic and domain-agnostic way, by allowing a user to provide both the syntax and semantics of the language in which the desired program…

编程语言 · 计算机科学 2025-04-08 Charlie Murphy , Keith Johnson , Thomas Reps , Loris D'Antoni

We establish various complexity results for the entailment problem between formulas in Separation Logic with user-defined predicates denoting recursive data structures. The considered fragments are characterized by syntactic conditions on…

计算机科学中的逻辑 · 计算机科学 2025-07-23 Mnacho Echenim , Nicolas Peltier
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