Download PDF by Franz Baader: Automated deduction, CADE-19: 19th International Conference

By Franz Baader

ISBN-10: 3540405593

ISBN-13: 9783540405597

The refereed lawsuits of the nineteenth overseas convention on computerized Deduction, CADE 2003, held in Miami seashore, FL, united states in July 2003. The 29 revised complete papers and seven process description papers awarded including an invited paper and three abstracts of invited talks have been rigorously reviewed and chosen from eighty three submissions. All present facets of automatic deduction are mentioned, starting from theoretical and methodological concerns to the presentation of latest theorem provers and structures.

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Additional info for Automated deduction, CADE-19: 19th International Conference on Automated Deduction, Miami Beach, FL, USA, July 28-August 2, 2003 : proceedings

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E[ f1 (p∗1 , f2 (p∗2 , f3 (t∗i1 , q3∗ ), q2∗ ), q1∗ ), . . , f1 (p∗1 , f2 (p∗2 , f3 (t∗ik , q3∗ ), q2∗ ), q1∗ ) ]. The f1 -rules used to create context E are in Rule f1 ,f2 ,f3 (α) = Rule f1 ,f2 (β1 )∪ . ∪Rule f1 ,f2 (βc ), where Rule f2 ,f3 (α) = {β1 , . . , βc }. Computing Rule f1 ,f2 ,f3 (α) would be required for compatibility sequences of four function symbols f0 , f1 , f2 , f3 . In a term of the form f0 (p∗0 , f1 (. ), q0∗ ), we would also have to demand Exc f0 ,f1 ∩ Rule f1 ,f2 ,f3 (α) = ∅ for all f3 -rules α ∈ / Exc f2 ,f3 in order to guarantee that in an f3 -induction, all resulting contexts are propagated outwards.

In [8], we considered general quantifier-free conjectures with such equations as atomic formulas. Our approach is based on compatibility between functions. Using this information, we identify those subterms which might appear in subgoals during a proof attempt and we require that these terms satisfy the no-theory condition. Then all subgoals can be safely generalized to formulas over a decidable theory. Deciding Inductive Validity of Equations 31 Checking whether an equation belongs to DEC can be done efficiently, since it mainly depends on the definitions of functions.

Tim )) if t = f (t1 , . . , tn ) and π(f ) = [i1 , . . , im ]. Thus, an argument filtering is used to replace function symbols by one of their arguments or to eliminate certain arguments of function symbols. In Section 5 we consider argument filterings that are partially defined. , a transitive and reflexive relation on terms which is closed under contexts and substitutions) and a compatible well-founded order > which is closed under substitutions. Compatibility means that the inclusion · > ⊆ > or the inclusion > · ⊆ > holds.

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Automated deduction, CADE-19: 19th International Conference on Automated Deduction, Miami Beach, FL, USA, July 28-August 2, 2003 : proceedings by Franz Baader

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