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By Jack Minker (auth.), Esra Erdem, Joohyung Lee, Yuliya Lierler, David Pearce (eds.)

ISBN-10: 3642307426

ISBN-13: 9783642307423

ISBN-10: 3642307434

ISBN-13: 9783642307430

This Festschrift released in honor of Vladimir Lifschitz at the social gathering of his sixty fifth birthday provides 39 articles via colleagues from around the world with whom Vladimir Lifschitz had cooperation in quite a few respects. The 39 contributions mirror the breadth and the intensity of the paintings of Vladimir Lifschitz in common sense programming, circumscription, default common sense, motion conception, causal reasoning and solution set programming.

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Additional info for Correct Reasoning: Essays on Logic-Based AI in Honour of Vladimir Lifschitz

Example text

Given a sentence and its meaning and knowing the meaning of several words in the sentence our algorithm can be used to obtain the meaning of the other words in that sentence. In particular the two algorithms take as input two FOL-lambda formulas G and H and compute a FOL-lambda formula F such that F with input G, denoted by F @G, is H; respectively, G@F = H. We then illustrate our algorithm and present soundness, completeness and complexity results, and briefly mention the use of our algorithm in a NL Semantics system that translates sentences from English to formulas in formal languages.

For r1 , first we have to check if S3 |= body(r1 ) \ pos(r1 ), that is if S3 |= not g = 1, not h = 0. Extended literal not g = 1 is satisfied by S3 only if S3 |= g = 1. Because g = 1 is a seed literal, it is satisfied by S3 if g = 1 ∈ S3 . Since g = 1 ∈ S3 , we conclude that S3 |= g = 1 and thus not g = 1 is satisfied by S3 . In a similar way, we conclude that S3 |= not h = 0. Hence, S3 |= body(r1 ) \ pos(r1 ). Therefore, the reduct of r1 is p ← f = 2. For the reduct of r2 , notice that not g = 2 is not satisfied by S3 .

Cn ), where r ∈ R, and ci ’s are constants. , A). A t-atom is an expression of the form f = g, where f is a term and g is either a term or a constant. We call seed t-atom a t-atom of the form f = v, where v is a constant. Any t-atom that is not a seed t-atom is a dependent t-atom. Thus, given a signature with C = {a, b, 0, 1, 2, 3, 4} and F = {occupancy, seats}, expressions occupancy(a) = 2 and seats(b) = 4 are seed t-atoms, while occupancy(b) = seats(b) is a dependent t-atom. A “Conservative” Approach to Extending Answer Set Programming 27 A regular literal is an atom a or its strong negation ¬a.

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Correct Reasoning: Essays on Logic-Based AI in Honour of Vladimir Lifschitz by Jack Minker (auth.), Esra Erdem, Joohyung Lee, Yuliya Lierler, David Pearce (eds.)


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