09461 Abstracts Collection -- Algorithms and Applications for Next Generation SAT Solvers

From 8th to 13th November 2009, the Dagstuhl Seminar 09461 "Algorithms and Applications for Next Generation SAT Solvers" was held in Schloss Dagstuhl--Leibniz Center for Informatics. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts, slides or full papers are provided, if available

Narrating psychological distress: Associations between cross-clausal integration and mental health difficulties

Psychological research has emphasized the importance of narrative for a person’s sense of self. Building a coherent narrative of past events is one objective of psychotherapy. However, in guided self-help therapy the patient has to develop this narrative autonomously. Identifying patients’ narrative skills in relation to psychological distress could provide useful information about their suitability for self-help. The aim of this study was to explore whether the syntactic integration of clauses into narrative in texts written by prospective psychotherapy patients was related to mild to moderate psychological distress. Cross-clausal syntax of texts by 97 people who had contacted a primary care mental health service was analyzed. Severity of symptoms associated with mental health difficulties was assessed by a standardized scale (Clinical Outcomes in Routine Evaluation outcome measure). Cross-clausal syntactic integration was negatively correlated with the severity of symptoms. A multiple regression analysis confirmed that the use of simple sentences, finite complement clauses, and coordinated clauses was associated with symptoms (R2 = .26). The results suggest that the analysis of cross-clausal syntax can provide information on patients’ narrative skills in relation to distressing events and can therefore provide additional information to support treatment decisions

Universal Dependencies Parsing for Colloquial Singaporean English

Singlish can be interesting to the ACL community both linguistically as a major creole based on English, and computationally for information extraction and sentiment analysis of regional social media. We investigate dependency parsing of Singlish by constructing a dependency treebank under the Universal Dependencies scheme, and then training a neural network model by integrating English syntactic knowledge into a state-of-the-art parser trained on the Singlish treebank. Results show that English knowledge can lead to 25% relative error reduction, resulting in a parser of 84.47% accuracies. To the best of our knowledge, we are the first to use neural stacking to improve cross-lingual dependency parsing on low-resource languages. We make both our annotation and parser available for further research.Comment: Accepted by ACL 201

Efficient Certified Resolution Proof Checking

We present a novel propositional proof tracing format that eliminates complex processing, thus enabling efficient (formal) proof checking. The benefits of this format are demonstrated by implementing a proof checker in C, which outperforms a state-of-the-art checker by two orders of magnitude. We then formalize the theory underlying propositional proof checking in Coq, and extract a correct-by-construction proof checker for our format from the formalization. An empirical evaluation using 280 unsatisfiable instances from the 2015 and 2016 SAT competitions shows that this certified checker usually performs comparably to a state-of-the-art non-certified proof checker. Using this format, we formally verify the recent 200 TB proof of the Boolean Pythagorean Triples conjecture

A theory of resolution

We review the fundamental resolution-based methods for first-order theorem proving and present them in a uniform framework. We show that these calculi can be viewed as specializations of non-clausal resolution with simplification. Simplification techniques are justified with the help of a rather general notion of redundancy for inferences. As simplification and other techniques for the elimination of redundancy are indispensable for an acceptable behaviour of any practical theorem prover this work is the first uniform treatment of resolution-like techniques in which the avoidance of redundant computations attains the attention it deserves. In many cases our presentation of a resolution method will indicate new ways of how to improve the method over what was known previously. We also give answers to several open problems in the area