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Synthesis is the automatic construction of a system from its specification. In classical synthesis algorithms, it is always assumed that the system is "constructed from scratch" rather than composed from reusable components. This, of…

Logic in Computer Science · Computer Science 2015-07-01 Sumit Nain , Yoad Lustig , Moshe Y Vardi

Program synthesis techniques construct or infer programs from user-provided specifications, such as input-output examples. Yet most specifications, especially those given by end-users, leave the synthesis problem radically ill-posed,…

Artificial Intelligence · Computer Science 2020-10-22 Yewen Pu , Kevin Ellis , Marta Kryven , Josh Tenenbaum , Armando Solar-Lezama

Program synthesis--the automated generation of executable code from high-level specifications--has been a central goal of computer science for over fifty years. This thesis provides a comparative literature review of the main paradigms that…

Programming Languages · Computer Science 2025-08-04 Zurabi Kobaladze , Anna Arnania , Tamar Sanikidze

Program correctness (in imperative and functional programming) splits in logic programming into correctness and completeness. Completeness means that a program produces all the answers required by its specification. Little work has been…

Logic in Computer Science · Computer Science 2014-11-13 Wlodzimierz Drabent

Existing refinement calculi provide frameworks for the stepwise development of imperative programs from specifications. This paper presents a refinement calculus for deriving logic programs. The calculus contains a wide-spectrum logic…

Software Engineering · Computer Science 2007-05-23 Ian Hayes , Robert Colvin , David Hemer , Paul Strooper , Ray Nickson

Program synthesis is the generation of a program from a specification. Correct synthesis is difficult, and methods that provide formal guarantees suffer from scalability issues. On the other hand, neural networks are able to generate…

Logic in Computer Science · Computer Science 2020-01-28 Elizabeth Polgreen , Ralph Abboud , Daniel Kroening

Program synthesis from incomplete specifications (e.g. input-output examples) has gained popularity and found real-world applications, primarily due to its ease-of-use. Since this technology is often used in an interactive setting,…

Programming Languages · Computer Science 2017-03-13 Vu Le , Daniel Perelman , Oleksandr Polozov , Mohammad Raza , Abhishek Udupa , Sumit Gulwani

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

We study the problem of completely automatically verifying uninterpreted programs---programs that work over arbitrary data models that provide an interpretation for the constants, functions and relations the program uses. The verification…

Programming Languages · Computer Science 2020-08-27 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

When giving automated feedback to a student working on a beginner's exercise, many programming tutors run into a completeness problem. On the one hand, we want a student to experiment freely. On the other hand, we want a student to write…

Human-Computer Interaction · Computer Science 2020-11-17 Niek Mulleners , Johan Jeuring , Bastiaan Heeren

Provably correct software is one of the key challenges in our softwaredriven society. While formal verification establishes the correctness of a given program, the result of program synthesis is a program which is correct by construction.…

Logic in Computer Science · Computer Science 2021-03-08 Andreas Humenberger , Laura Kovacs

We prove that certain formulations of program synthesis and reachability are equivalent. Specifically, our constructive proof shows the reductions between the template-based synthesis problem, which generates a program in a pre-specified…

Programming Languages · Computer Science 2019-03-29 ThanhVu Nguyen , Westley Weimer , Deepak Kapur , Stephanie Forrest

Controller synthesis is the process of constructing a correct system automatically from its specification. This often requires assumptions about the behaviour of the environment. It is difficult for the designer to identify the assumptions…

Logic in Computer Science · Computer Science 2016-04-13 Romain Brenguier

Reactive synthesis transforms a specification of a reactive system, given in a temporal logic, into an implementation. The main advantage of synthesis is that it is automatic. The main disadvantage is that the implementation is usually very…

Logic in Computer Science · Computer Science 2021-01-01 Tom Baumeister , Bernd Finkbeiner , Hazem Torfah

In formal synthesis of reactive systems an implementation of a system is automatically constructed from its formal specification. The great advantage of synthesis is that the resulting implementation is correct by construction; therefore…

Logic in Computer Science · Computer Science 2019-01-04 Hadas Kress-Gazit , Hazem Torfah

The unification algorithm has long been a target for program synthesis research, but a fully automatic derivation remains a research goal. In deductive program synthesis, computer programming is phrased as a task in theorem proving; a…

Logic in Computer Science · Computer Science 2025-09-16 Richard Waldinger

This article presents resource-guided synthesis, a technique for synthesizing recursive programs that satisfy both a functional specification and a symbolic resource bound. The technique is type-directed and rests upon a novel type system…

Programming Languages · Computer Science 2019-04-19 Tristan Knoth , Di Wang , Nadia Polikarpova , Jan Hoffmann

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

The synthesis problem asks to automatically generate, if it exists, an algorithm from a specification of correct input-output pairs. In this paper, we consider the synthesis of computable functions of infinite words, for a classical Turing…

Formal Languages and Automata Theory · Computer Science 2024-02-09 Emmanuel Filiot , Sarah Winter

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