PPT-Relational Proofs Logical Entailment

A set of premises Δ logically entails a conclusion ϕ Δ ϕ if and only if every interpretation that satisfies Δ also satisfies ϕ Propositional Truth Assignments With . Peter Clark. Allen Institute for Artificial Intelligence (AI2). Mission: . achieve scientific breakthroughs by constructing AI systems with reasoning, learning, and reading capabilities. . 2. Overall Goals. Proofs. Asher Stern,. . Amnon. . Lotan. , . Shachar. . Mirkin. , . Eyal. . Shnarch. , . Lili. . Kotlerman. , Jonathan . Berant. . and . Ido. Dagan. TAC. November 2011, NIST, Gaithersburg, Maryland, USA. QA4MRE, . and Machine Reading. Peter Clark. Vulcan Inc.. What is . Machine Reading?. Not (just). parsing + word senses. Construction of a . coherent representation. of the scene the text describes. Chapter 1, Part III: Proofs. Summary. Proof Methods. Proof Strategies. Introduction to Proofs. Section 1.7. Section Summary. Mathematical Proofs. Forms of Theorems. Direct Proofs. Indirect Proofs. Proof of the . Randy . Goebel. Alberta Innovates Centre for Machine Learning. Department of Computing Science. University of Alberta. Edmonton, Alberta . Canada. rgoebel@ualberta.ca. Fuji-san. BIRS. Science or Engineering?. Asher Stern & . Ido. Dagan. ISCOL. June 2011, Israel. 1. Recognizing Textual Entailment (RTE). Given a text, . T. , and a hypothesis, . H. Does . T. entail . H. 2. T. : . An explosion caused by gas took place at a . (Excitement Project). Bernardo Magnini. (on behalf of the Excitement consortium). 1. STS workshop, NYC March 12-13 2012. Excitement Project. EXploring. Customer Interactions through Textual . EntailMENT. Peter Clark. Allen Institute for Artificial Intelligence (AI2). Mission: . achieve scientific breakthroughs by constructing AI systems with reasoning, learning, and reading capabilities. . 2. Overall Goals. 1.1 Propositional Logic. 1.2 Propositional Equivalences. 1.3 Predicates and Quantifiers. 1.4 Nested Quantifiers. 1.5 Rules of Inference. 1.6 Introduction to Proofs. 1.7 Proof Methods and Strategy. 1. 1.1 Propositional Logic. 1.2 Propositional Equivalences. 1.3 Predicates and Quantifiers. 1.4 Nested Quantifiers. 1.5 Rules of Inference. 1.6 Introduction to Proofs. 1.7 Proof Methods and Strategy. We wish to establish the truth of. 1.1 Propositional Logic. 1.2 Propositional Equivalences. 1.3 Predicates and Quantifiers. 1.4 Nested Quantifiers. 1.5 Rules of Inference. 1.6 Introduction to Proofs. 1.7 Proof Methods and Strategy. To prove an argument is valid or the conclusion follows . Chapter 1, Part III: Proofs. Summary. Proof Methods. Proof Strategies. Introduction to Proofs. Section 1.7. Section Summary. Mathematical Proofs. Forms of Theorems. Direct Proofs. Indirect Proofs. Proof of the . Omer Levy . Ido. Dagan Jacob Goldberger. Bar-. Ilan. University, . Israel. Open IE. Extracts propositions from text. “…which makes aspirin relieve headaches.”. No supervision. No pre-defined schema. Asher Stern & . Ido. Dagan. ISCOL. June 2011, Israel. 1. Recognizing Textual Entailment (RTE). Given a text, . T. , and a hypothesis, . H. Does . T. entail . H. 2. T. : . An explosion caused by gas took place at a .