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Proving Unrealizability for Syntax-Guided Synthesis We consider the problem of automatically establishing that a given syntax-guided-synthesis (SyGuS) problem is unrealizable (i.e., has no solution). Existing techniques have quite limited…

Programming Languages · Computer Science 2019-07-25 Qinheping Hu , Jason Breck , John Cyphert , Loris D'Antoni , Thomas Reps

Syntax-guided synthesis (SyGuS) is a recently proposed framework for program synthesis problems. The SyGuS problem is to find an expression or program generated by a given grammar that meets a correctness specification. Correctness…

Logic in Computer Science · Computer Science 2016-11-02 Benjamin Caulfield , Markus N. Rabe , Sanjit A. Seshia , Stavros Tripakis

We study the problem of synthesizing programs from nonlinear real arithmetic (NRA) specifications. Existing techniques, such as syntax-guided synthesis (SyGuS), fail to synthesize programs when the specification is unrealizable. We argue…

Programming Languages · Computer Science 2026-05-26 S. Akshay , Supratik Chakraborty , R. Govind , Aniruddha R. Joshi

Syntax-Guided Synthesis (SyGuS) is the computational problem of finding an implementation f that meets both a semantic constraint given by a logical formula phi in a background theory T, and a syntactic constraint given by a grammar G,…

Software Engineering · Computer Science 2017-12-01 Rajeev Alur , Dana Fisman , Rishabh Singh , Armando Solar-Lezama

This paper develops a new framework for program synthesis, called semantics-guided synthesis (SemGuS), that allows a user to provide both the syntax and the semantics for the constructs in the language. SemGuS accepts a recursively defined…

Programming Languages · Computer Science 2020-11-12 Jinwoo Kim , Qinheping Hu , Loris D'Antoni , Thomas Reps

Syntax-guided synthesis (SyGuS) is the computational problem of finding an implementation $f$ that meets both a semantic constraint given by a logical formula $\phi$ in a background theory $\mathbb{T}$, and a syntactic constraint given by a…

Programming Languages · Computer Science 2019-04-16 Rajeev Alur , Dana Fisman , Saswat Padhi , Rishabh Singh , Abhishek Udupa

Syntax-Guided Synthesis (SyGuS) is the computational problem of finding an implementation f that meets both a semantic constraint given by a logical formula $\varphi$ in a background theory T, and a syntactic constraint given by a grammar…

Programming Languages · Computer Science 2016-02-04 Rajeev Alur , Dana Fisman , Rishabh Singh , Armando Solar-Lezama

The classical formulation of the program-synthesis problem is to find a program that meets a correctness specification given as a logical formula. Syntax-guided synthesis (SyGuS) is a standardized format for specifying the correctness…

Programming Languages · Computer Science 2023-12-12 Saswat Padhi , Elizabeth Polgreen , Mukund Raghothaman , Andrew Reynolds , Abhishek Udupa

Syntax-Guided Synthesis (SyGuS) is the computational problem of finding an implementation f that meets both a semantic constraint given by a logical formula $\varphi$ in a background theory T, and a syntactic constraint given by a grammar…

Software Engineering · Computer Science 2016-11-24 Rajeev Alur , Dana Fisman , Rishabh Singh , Armando Solar-Lezama

We consider the problem of establishing that a program-synthesis problem is unrealizable (i.e., has no solution in a given search space of programs). Prior work on unrealizability has developed some automatic techniques to establish that a…

Programming Languages · Computer Science 2025-03-04 Jinwoo Kim , Loris D'Antoni , Thomas Reps

In syntax-guided synthesis (SyGuS), a synthesizer's goal is to automatically generate a program belonging to a grammar of possible implementations that meets a logical specification. We investigate a common limitation across…

Programming Languages · Computer Science 2019-06-11 Saswat Padhi , Todd Millstein , Aditya Nori , Rahul Sharma

We present a language to specify syntax guided synthesis (SyGuS) problems. Syntax guidance is a prominent theme in contemporary program synthesis approaches, and SyGuS was first described in [1]. This paper describes concretely the input…

Programming Languages · Computer Science 2016-10-25 Mukund Raghothaman , Abhishek Udupa

The unrealizability of a specification is often due to the assumption that the behavior of the environment is unrestricted. In this paper, we present algorithms for synthesis in bounded environments, where the environment can only generate…

Logic in Computer Science · Computer Science 2021-01-01 Rayna Dimitrova , Bernd Finkbeiner , Hazem Torfah

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…

Programming Languages · Computer Science 2025-04-08 Charlie Murphy , Keith Johnson , Thomas Reps , Loris D'Antoni

Program synthesis has seen many new applications in recent years, in large part thanks to the introduction of SyGuS. However, no existing SyGuS solvers have support for synthesizing recursive functions. We introduce an multi-phase algorithm…

Programming Languages · Computer Science 2021-08-20 Shmuel Berman , Mark Santolucito

The reactive synthesis problem consists of automatically producing correct-by-construction operational models of systems from high-level formal specifications of their behaviours. However, specifications are often unrealisable, meaning that…

Software Engineering · Computer Science 2023-04-17 Matías Brizzio , Maxime Cordy , Mike Papadakis , César Sánchez , Nazareno Aguirre , Renzo Degiovanni

Regular expressions are pervasive in modern systems. Many real-world regular expressions are inefficient, sometimes to the extent that they are vulnerable to complexity-based attacks, and while much research has focused on detecting…

Programming Languages · Computer Science 2022-09-30 Jedidiah McClurg , Miles Claver , Jackson Garner , Jake Vossen , Jordan Schmerge , Mehmet E. Belviranli

Programming-by-example (PBE) is a synthesis paradigm that allows users to generate functions by simply providing input-output examples. While a promising interaction paradigm, synthesis is still too slow for realtime interaction and more…

Machine Learning · Computer Science 2020-02-10 Kairo Morton , William Hallahan , Elven Shum , Ruzica Piskac , Mark Santolucito

We identify a decidable synthesis problem for a class of programs of unbounded size with conditionals and iteration that work over infinite data domains. The programs in our class use uninterpreted functions and relations, and abide by a…

Programming Languages · Computer Science 2020-07-24 Paul Krogmeier , Umang Mathur , Adithya Murali , P. Madhusudan , Mahesh Viswanathan

We give an overview of recent techniques for implementing syntax-guided synthesis (SyGuS) algorithms in the core of Satisfiability Modulo Theories (SMT) solvers. We define several classes of synthesis conjectures and corresponding…

Logic in Computer Science · Computer Science 2017-11-30 Andrew Reynolds , Cesare Tinelli
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