Get Automated Deduction - Cade-22: 22nd International Conference PDF

By Renate Schmidt

ISBN-10: 3642029582

ISBN-13: 9783642029585

This ebook constitutes the refereed complaints of the twenty second foreign convention on automatic Deduction, CADE-22, held in Montreal, Canada, in August 2009. The 27 revised complete papers and five approach descriptions awarded have been rigorously reviewed and chosen from seventy seven submissions. in addition, 3 invited lectures via unique specialists within the zone have been integrated. The papers are equipped in topical sections on mixtures and extensions, minimum unsatisfiability and automatic reasoning aid, process descriptions, interpolation and predicate abstraction, resolution-based platforms for non-classical logics, termination research and constraint fixing, rewriting, termination and productiveness, versions, modal tableaux with international caching, mathematics.

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Additional info for Automated Deduction - Cade-22: 22nd International Conference on Automated Deduction, Montreal, Canada, August 2-7, 2009. Proceedings

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The idea is to control the infinitary behavior by using additional hypotheses/axioms, detect any unsoundness they may introduce and recover from it. 2 Background We employ basic notions from logic usually assumed in theorem proving. Let Σ be a signature consisting of a set of function and predicate symbols, each with its arity, denoted by arity(f ), for symbol f . We call 0-arity function symbols constant symbols, and use a, b, c and d for constants, f , g, h for non-constant function symbols, and x, y, z for variables.

For instance, Model Evolution, as a lifted version of the propositional DPLL procedure, contributes a non-ground splitting rule that effectively permits to split a clause into non variable disjoint subclauses. In the paper we present the calculus in detail. Our main result is its completeness under semantically justified redundancy criteria and simplification rules. 1 Introduction We present a new calculus for first-order theorem proving with equality, ME+Sup, which generalizes both the Superposition calculus and the Model Evolution calculus (with equality), MEE .

Deduce Λ Λ Φ Φ, C · Γ if one of the following cases applies: – C · Γ is the conclusion of a Ref or Fact inference with a premise from Φ. – C · Γ is the conclusion of a U-Sup-Neg, U-Sup-Pos or Neg-U-Res inference with a right premise from Φ and a left premise K ∈ Λ that produces Kσ in Λ, where σ is the mgu used in that inference. – C · Γ is the conclusion of a Sup-Neg or Sup-Pos inference with both premises from Φ. 26 P. Baumgartner and U. Waldmann In each case the second or only premise of the underlying ιBase inference is called the selected clause (of a Deduce inference).

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Automated Deduction - Cade-22: 22nd International Conference on Automated Deduction, Montreal, Canada, August 2-7, 2009. Proceedings by Renate Schmidt

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