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The classical formulation of the program-synthesis problem is to find a program that meets a correctness specification given as a logical formula. Recent work on program synthesis and program optimization illustrates many potential benefits of allowing the user to supplement the logical specification with a syntactic template that constrains the space of allowed implementation. The motivation is twofold. First, narrowing the space of implementations makes the synthesis problem more tractable. Second, providing a specific syntax can potentially lead to better optimizations.

The Problem

A Syntax-Guided Synthesis problem (SyGuS, in short) is specified with respect to a background theory $$ \mathbb{T} $$, such as Linear-Integer-Arithmetic (LIA), that fixes the types of variables, operations on types, and their interpretation.

To synthesize a function $$ f $$ of a given type, the input consists of two constraints:
(1) a semantic constraint given as a formula $$ \varphi $$ built from symbols in theory $$ \mathbb{T} $$ along with $$ f $$, and (2) a syntactic constraint given as a (possibly infinite) set $$ \mathcal{E} $$ of expressions from $$ \mathbb{T} $$ specified by a context-free grammar.
The computational problem then is to find an implementation for the function $$ f $$, i.e. an expression $$ e \in \mathcal{E} $$ such that the formula $$ \varphi[f \leftarrow e] $$ is valid.

The Competition

The SyGuS competition (SyGuS-Comp) will allow solvers for syntax-guided synthesis problems to compete on a large collection of benchmarks. The motivation behind the competition is to propagate and advance research and tools on the subject.

Planning for the 6th SyGuS-Comp will commence around January 2019. Feel free to reach us at sygus-organizers@seas.upenn.edu with questions and suggestions.

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