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| Content Provider | ACM Digital Library |
|---|---|
| Author | Kuncak, Viktor Gulwani, Sumit Madhavan, Ravichandhran Mayer, Mikaƫl |
| Abstract | We consider from a practical perspective the problem of checking equivalence of context-free grammars. We present techniques for proving equivalence, as well as techniques for finding counter-examples that establish non-equivalence. Among the key building blocks of our approach is a novel algorithm for efficiently enumerating and sampling words and parse trees from arbitrary context-free grammars; the algorithm supports polynomial time random access to words belonging to the grammar. Furthermore, we propose an algorithm for proving equivalence of context-free grammars that is complete for LL grammars, yet can be invoked on any context-free grammar, including ambiguous grammars. Our techniques successfully find discrepancies between different syntax specifications of several real-world languages, and are capable of detecting fine-grained incremental modifications performed on grammars. Our evaluation shows that our tool improves significantly on the existing available state of the art tools. In addition, we used these algorithms to develop an online tutoring system for grammars that we then used in an undergraduate course on computer language processing. On questions involving grammar constructions, our system was able to automatically evaluate the correctness of 95% of the solutions submitted by students: it disproved 74% of cases and proved 21% of them. |
| Starting Page | 183 |
| Ending Page | 200 |
| Page Count | 18 |
| File Format | |
| ISSN | 03621340 15581160 |
| DOI | 10.1145/2858965.2814304 |
| Journal | ACM SIGPLAN Notices (SIGP) |
| Volume Number | 50 |
| Issue Number | 10 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 1983-05-01 |
| Publisher Place | New York |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Proof system Equivalence Counter-examples Context-free grammars Tutoring system |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Graphics and Computer-Aided Design Software |
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