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Program synthesis is the task of automatically generating expressions that satisfy a given specification. Program synthesis techniques have been used to automate the generation of loop invariants in code, synthesize function summaries, and…

Logic in Computer Science · Computer Science 2020-10-13 Elizabeth Polgreen , Sanjit A. Seshia

Logic program transformation by the unfold/fold method ad- vocates the writing of correct logic programs via the application of some rules to a naive program. This work focuses on how to overcome subgoal- introduction difficulties in…

Programming Languages · Computer Science 2018-10-05 Manuel Hernández

In this paper, we identify a fragment of second-order logic with restricted quantification that is expressive enough to capture numerous static analysis problems (e.g. safety proving, bug finding, termination and non-termination proving,…

Logic in Computer Science · Computer Science 2015-09-01 Cristina David , Daniel Kroening , Matt Lewis

We study the oritatami model for molecular co-transcriptional folding. In oritatami systems, the transcript (the "molecule") folds as it is synthesized (transcribed), according to a local energy optimisation process, which is similar to how…

Computational Geometry · Computer Science 2018-07-16 Cody Geary , Pierre-Étienne Meunier , Nicolas Schabanel , Shinnosuke Seki

The use of origami in engineering has significantly expanded in recent years, spanning deployable structures across scales, folding robotics, and mechanical metamaterials. However, finding foldable paths can be a formidable task as the…

Soft Condensed Matter · Physics 2024-09-30 Matthew Grasinger , Andrew Gillman , Philip Buskohl

Program Synthesis is the mapping of a specification of what a computer program is supposed to do, into a computer program that does what the specification says to do. This is equivalent to constructing any computer program and a sound proof…

Logic in Computer Science · Computer Science 2015-01-08 Charles Volkstorf

Testing algorithms across a wide range of problem instances is crucial to ensure the validity of any claim about one algorithm's superiority over another. However, when it comes to inference algorithms for probabilistic logic programs,…

Logic in Computer Science · Computer Science 2020-09-14 Paulius Dilkas , Vaishak Belle

Self-folding origami, structures that are engineered flat to fold into targeted, three-dimensional shapes, have many potential engineering applications. Though significant effort in recent years has been devoted to designing fold patterns…

Soft Condensed Matter · Physics 2022-03-25 M. E. Lee-Trimble , Ji-Hwan Kang , Ryan C. Hayward , Christian D. Santangelo

In this research summary we present our recent work on implementing functional patterns with inverse functions in the lazy functional-logic programming language Curry. Our goal is the synthesis of the inverse of any given function in Curry…

Programming Languages · Computer Science 2020-09-23 Finn Teegen

This paper considers program synthesis in the context of computational hardness, asking the question: How hard is it to determine whether a given synthesis problem has a solution or not? To answer this question, this paper studies program…

Logic in Computer Science · Computer Science 2024-05-28 Jinwoo Kim

Formal synthesis is the process of generating a program satisfying a high-level formal specification. In recent times, effective formal synthesis methods have been proposed based on the use of inductive learning. We refer to this class of…

Artificial Intelligence · Computer Science 2016-05-24 Susmit Jha , Sanjit A. Seshia

We present a novel bottom-up method for the synthesis of functional recursive programs. While bottom-up synthesis techniques can work better than top-down methods in certain settings, there is no prior technique for synthesizing recursive…

Programming Languages · Computer Science 2021-12-10 Anders Miltner , Adrian Trejo Nuñez , Ana Brendel , Swarat Chaudhuri , Isil Dillig

Program Synthesis is the task of generating a program from a provided specification. Traditionally, this has been treated as a search problem by the programming languages (PL) community and more recently as a supervised learning problem by…

Artificial Intelligence · Computer Science 2018-06-11 Riley Simmons-Edler , Anders Miltner , Sebastian Seung

We propose a novel method for automatic program synthesis. P-Tree Programming represents the program search space through a single probabilistic prototype tree. From this prototype tree we form program instances which we evaluate on a given…

Artificial Intelligence · Computer Science 2017-07-13 Christian Oesch

First-order model counting (FOMC) is a computational problem that asks to count the models of a sentence in finite-domain first-order logic. In this paper, we argue that the capabilities of FOMC algorithms to date are limited by their…

Logic in Computer Science · Computer Science 2023-06-08 Paulius Dilkas , Vaishak Belle

This paper deals with themes such as approximate counting/evaluation of the total number of flat-foldings for random origami diagrams, evaluation of the values averaged over various instances, obtaining forcing sets for general origami…

Statistical Mechanics · Physics 2024-09-06 Chihiro Nakajima

Origami as a deployable structure offers the unique advantage of achieving compact stowage via flat-folding while forming a well-defined surface composed of rigid panels upon deployment. However, since origami consists of flat facets, it is…

Soft Condensed Matter · Physics 2025-11-27 Byoung-Gyu Kim , Geon Hee Cho , Hak-Tae Lee , Jinkyu Yang

Reactive synthesis, the problem of automatically constructing a hardware circuit from a logical specification, is a long-standing challenge in formal verification. It is elusive for two reasons: It is algorithmically hard, and writing…

The problem of automatically generating a computer program from some specification has been studied since the early days of AI. Recently, two competing approaches for automatic program learning have received significant attention: (1)…

Artificial Intelligence · Computer Science 2017-03-23 Jacob Devlin , Jonathan Uesato , Surya Bhupatiraju , Rishabh Singh , Abdel-rahman Mohamed , Pushmeet Kohli

We present a method for synthesizing recursive functions that satisfy both a functional specification and an asymptotic resource bound. Prior methods for synthesis with a resource metric require the user to specify a concrete expression…

Programming Languages · Computer Science 2021-05-27 Qinheping Hu , John Cyphert , Loris D'Antoni , Thomas Reps