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Precondition inference is a non-trivial task with several applications in program analysis and verification. We present a novel iterative method for automatically deriving sufficient preconditions for safety and unsafety of programs which…

Logic in Computer Science · Computer Science 2018-11-19 Bishoksan Kafle , Graeme Gange , Peter Schachte , Harald Sondergaard , Peter J. Stuckey

Deep Learning architectures, and in particular Transformers, are conventionally viewed as a composition of layers. These layers are actually often obtained as the sum of two contributions: a residual path that copies the input and the…

In this paper, we explore different techniques to synthesize modular invariants for synchronous code encoded as Horn clauses. Modular invariants are a set of formulas that characterizes the validity of predicates. They are very useful for…

Logic in Computer Science · Computer Science 2014-12-04 Pierre-Loic Garoche , Arie Gurfinkel , Temesghen Kahsai

We present a novel probabilistic programming framework that couples directly to existing large-scale simulators through a cross-platform probabilistic execution protocol, which allows general-purpose inference engines to record and control…

We present a new technique for automatically inferring inductive invariants of parameterized distributed protocols specified in TLA+. Ours is the first such invariant inference technique to work directly on TLA+, an expressive, high level…

Logic in Computer Science · Computer Science 2022-10-04 William Schultz , Ian Dardik , Stavros Tripakis

Inductive Logic Programming (ILP) is a principled approach for generalizing regularities from data and constructing hypotheses as interpretable logic programs. However, a key limitation is its reliance on expert-crafted language bias - the…

Artificial Intelligence · Computer Science 2026-01-21 Yang Yang , Jiemin Wu , Yutao Yue

Loop-invariant synthesis is the basis of program verification. Due to the undecidability of the problem in general, a tool for invariant synthesis necessarily uses heuristics. Despite the common belief that the design of heuristics is vital…

Artificial Intelligence · Computer Science 2022-06-16 Minchao Wu , Takeshi Tsukada , Hiroshi Unno , Taro Sekiyama , Kohei Suenaga

The purpose of this paper is to develop and study recursive proofs of coinductive predicates. Such recursive proofs allow one to discover proof goals in the construction of a proof of a coinductive predicate, while still allowing the use of…

Logic in Computer Science · Computer Science 2018-02-21 Henning Basold

Invariant inference algorithms such as interpolation-based inference and IC3/PDR show that it is feasible, in practice, to find inductive invariants for many interesting systems, but non-trivial upper bounds on the computational complexity…

Programming Languages · Computer Science 2022-08-17 Yotam M. Y. Feldman , Sharon Shoham

As large language models (LLMs) advance, their inability to autonomously execute tasks by directly interacting with external tools remains a critical limitation. Traditional methods rely on inputting tool descriptions as context, which is…

Computation and Language · Computer Science 2025-04-01 Renxi Wang , Xudong Han , Lei Ji , Shu Wang , Timothy Baldwin , Haonan Li

We introduce LaviGen, a framework that repurposes 3D generative models for 3D layout generation. Unlike previous methods that infer object layouts from textual descriptions, LaviGen operates directly in the native 3D space, formulating…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Haoran Feng , Yifan Niu , Zehuan Huang , Yang-Tian Sun , Chunchao Guo , Yuxin Peng , Lu Sheng

We introduce the notion of porous invariants for multipath (or branching/nondeterministic) affine loops over the integers; these invariants are not necessarily convex, and can in fact contain infinitely many 'holes'. Nevertheless, we show…

Logic in Computer Science · Computer Science 2021-06-02 Engel Lefaucheux , Joël Ouaknine , David Purser , James Worrell

We present a technique to infer lower bounds on the worst-case runtime complexity of integer programs, where in contrast to earlier work, our approach is not restricted to tail-recursion. Our technique constructs symbolic representations of…

Logic in Computer Science · Computer Science 2020-09-29 Florian Frohn , Matthias Naaf , Marc Brockschmidt , Jürgen Giesl

Modern generative models achieve excellent quality in a variety of tasks including image or text generation and chemical molecule modeling. However, existing methods often lack the essential ability to generate examples with requested…

We introduce a new technique for inferring program invariants that uses symbolic states generated by symbolic execution. Symbolic states, which consist of path conditions and constraints on local variables, are a compact description of sets…

Software Engineering · Computer Science 2019-03-29 ThanhVu Nguyen , Matthew B. Dwyer , Willem Visser

We present ongoing work on a new automatic code generation approach for supporting quantized generative inference on LLMs such as LLaMA or OPT on off-the-shelf CPUs. Our approach is informed by the target architecture and a performance…

Machine Learning · Computer Science 2023-07-10 Tommaso Pegolotti , Elias Frantar , Dan Alistarh , Markus Püschel

Generative artificial intelligence (AI) technology is revolutionizing the computing industry. Not only its applications have broadened to various sectors but also poses new system design and optimization opportunities. The technology is…

Verification of programs operating on heap-allocated data structures, for instance lists or trees, poses significant challenges due to the potentially unbounded size of such data structures. We present time-indexed heap invariants, a novel…

Logic in Computer Science · Computer Science 2026-03-16 Zafer Esen , Philipp Rümmer , Tjark Weber

Recently, there has been considerable progress on designing algorithms with provable guarantees -- typically using linear algebraic methods -- for parameter learning in latent variable models. But designing provable algorithms for inference…

Machine Learning · Computer Science 2016-05-30 Sanjeev Arora , Rong Ge , Frederic Koehler , Tengyu Ma , Ankur Moitra

Transformers have been shown to emulate logical deduction over natural language theories (logical rules expressed in natural language), reliably assigning true/false labels to candidate implications. However, their ability to generate…

Computation and Language · Computer Science 2021-06-07 Oyvind Tafjord , Bhavana Dalvi Mishra , Peter Clark
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