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Separation Logic with inductive definitions is a well-known approach for deductive verification of programs that manipulate dynamic data structures. Deciding verification conditions in this context is usually based on user-provided lemmas…

Logic in Computer Science · Computer Science 2015-07-21 Constantin Enea , Mihaela Sighireanu , Zhilin Wu

Dynamic program slicing can significantly reduce the code developers need to inspect by narrowing it down to only a subset of relevant program statements. However, despite an extensive body of research showing its usefulness, dynamic…

Software Engineering · Computer Science 2022-01-04 Bogdan Alexandru Stoica , Swarup K. Sahoo , James R. Larus , Vikram S. Adve

We present Lilac, a separation logic for reasoning about probabilistic programs where separating conjunction captures probabilistic independence. Inspired by an analogy with mutable state where sampling corresponds to dynamic allocation, we…

Programming Languages · Computer Science 2023-05-29 John M. Li , Amal Ahmed , Steven Holtzen

Separation logic and its variants can describe various properties on pointer programs. However, when it comes to properties on sequences, one may find it hard to formalize. To deal with properties on variable-length sequences and multilevel…

Logic in Computer Science · Computer Science 2023-02-09 Tianyue Cao , Bowen Zhang , Zhao Jin , Yongzhi Cao , Hanpin Wang

We propose Splinter, a new technique for proving properties of heap-manipulating programs that marries (1) a new separation logic-based analysis for heap reasoning with (2) an interpolation-based technique for refining heap-shape invariants…

Logic in Computer Science · Computer Science 2015-01-20 Aws Albarghouthi , Josh Berdine , Byron Cook , Zachary Kincaid

All classifiers, including state-of-the-art vision models, possess invariants, partially rooted in the geometry of their linear mappings. These invariants, which reside in the null-space of the classifier, induce equivalent sets of inputs…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Harel Yadid , Meir Yossef Levi , Roy Betser , Guy Gilboa

We define a new decidable logic for expressing and checking invariants of programs that manipulate dynamically-allocated objects via pointers and destructive pointer updates. The main feature of this logic is the ability to limit the…

Logic in Computer Science · Computer Science 2007-06-13 Greta Yorsh , Alexander Rabinovich , Mooly Sagiv , Antoine Meyer , Ahmed Bouajjani

Pointer arithmetic is widely used in low-level programs, e.g. memory allocators. The specification of such programs usually requires using pointer arithmetic inside inductive definitions to define the common data structures, e.g. heap lists…

Logic in Computer Science · Computer Science 2024-03-05 Wanyun Su , Zhilin Wu , Mihaela Sighireanu

Slicing is a program analysis technique originally developed for imperative languages. It facilitates understanding of data flow and debugging. This paper discusses slicing of Constraint Logic Programs. Constraint Logic Programming (CLP) is…

Software Engineering · Computer Science 2007-05-23 Gyongyi Szilagyi , Tibor Gyimothy , Jan Maluszynski

In this paper, we present a novel marriage of static and dynamic analysis. Given a large code base with many functions and a mature test suite, we propose using static analysis to find functions 1) with assertions or other evident…

Software Engineering · Computer Science 2016-09-22 Mohammad Amin Alipour , Alex Groce , Chaoqiang Zhang , Anahita Sanadaji , Gokul Caushik

Separation Logic is an effective Program Logic for proving programs that involve pointers. Reasoning with pointers becomes difficult especially when there is aliasing arising due to several pointers to a given cell location. In this paper,…

Logic in Computer Science · Computer Science 2017-04-07 Abhishek Kr Singh , Raja Natrajan

Logical reasoning about program data often requires dealing with heap structures as well as scalar data types. Recent advances in Satisfiability Modular Theory (SMT) already offer efficient procedures for dealing with scalars, yet they lack…

Logic in Computer Science · Computer Science 2013-03-12 Juan Antonio Navarro-Pérez , Andrey Rybalchenko

Program invariants are important for defect detection, program verification, and program repair. However, existing techniques have limited support for important classes of invariants such as disjunctions, which express the semantics of…

Software Engineering · Computer Science 2019-04-17 ThanhVu Nguyen , Deepak Kapur , Westley Weimer , Stephanie Forrest

Answer set programming (ASP) and planning are two widely used paradigms for solving logic programs with declarative programming. In both cases, the quality of the input programs has a major influence on the quality and performance of the…

Logic in Computer Science · Computer Science 2019-05-09 Patrick Lühne

Separation logic is a substructural logic which has proved to have numerous and fruitful applications to the verification of programs working on dynamic data structures. Recently, Barthe, Hsu and Liao have proposed a new way of giving…

Cryptography and Security · Computer Science 2024-05-21 Ugo Dal Lago , Davide Davoli , Bruce M. Kapron

Inference scaling methods for LLMs often rely on decomposing problems into steps (or groups of tokens), followed by sampling and selecting the best next steps. However, these steps and their sizes are often predetermined or manually…

Separation logic's compositionality and local reasoning properties have led to significant advances in scalable static analysis. But program analysis has new challenges -- many programs display computational effects and, orthogonally,…

Logic in Computer Science · Computer Science 2024-03-15 Noam Zilberstein , Angelina Saliling , Alexandra Silva

We describe SLING, a framework for parsing natural language into semantic frames. SLING supports general transition-based, neural-network parsing with bidirectional LSTM input encoding and a Transition Based Recurrent Unit (TBRU) for output…

Computation and Language · Computer Science 2017-10-20 Michael Ringgaard , Rahul Gupta , Fernando C. N. Pereira

The problem of learning logical rules from examples arises in diverse fields, including program synthesis, logic programming, and machine learning. Existing approaches either involve solving computationally difficult combinatorial problems,…

Artificial Intelligence · Computer Science 2019-06-26 Xujie Si , Mukund Raghothaman , Kihong Heo , Mayur Naik

Automatic differentiation is a technique which allows a programmer to define a numerical computation via compositions of a broad range of numeric and computational primitives and have the underlying system support the computation of partial…

Mathematical Software · Computer Science 2017-06-02 Samer Abdallah
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