Home International 1 • Amy P. Felty, Aart Middeldorp's Automated Deduction - CADE-25: 25th International Conference PDF

Amy P. Felty, Aart Middeldorp's Automated Deduction - CADE-25: 25th International Conference PDF

By Amy P. Felty, Aart Middeldorp

This booklet constitutes the lawsuits of the twenty fifth foreign convention on computerized Deduction, CADE-25, held in Berlin, Germany, in August 2015.

The 36 revised complete papers awarded ( 24 complete papers and 12 process descriptions) have been conscientiously reviewed and chosen from eighty five submissions. CADE is the most important discussion board for the presentation of analysis in all features of computerized deduction, together with foundations, functions, implementations and functional experience.

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Extra info for Automated Deduction - CADE-25: 25th International Conference on Automated Deduction, Berlin, Germany, August 1-7, 2015, Proceedings

Example text

Such a size bounded resolution strategy would also obtain some proofs that DPLL could not obtain. What is the complexity of this approach, and how does it compare to the complexity of DPLL on such clause sets? Say a resolution (C1 , C2 , C) or a factoring (C1 , C) is d-size bounded if all literals in C have maximum literal size slin bounded by d. Define Πr on resolutions and factorings by Πr ((C1 , C2 , C3 )) = C3 and Πr ((C1 , C2 )) = C2 . Extend Πr to sets elementwise. Let Rlin,d (S) be the set of d-size bounded resolutions and factorings in R(S).

Then at depth 2 there will be at most (p1 (n) + n)(p1 (n) + n − 1)/2 ∗ 25 + 10p1 (n) clauses and factors because the clauses at depth 1 may have 5 literals each. This is a polynomial p2 (n) of degree 4 for the number of clauses. The dag sizes of the clauses may be at most 4s. In general at depth D there will be at most pD (n) clauses for a polynomial pD (n) which is of degree 2D , and the dag sizes of the clauses are at most 2D s. So the total work WRES (RD (S)) is bounded by the sum of pi (n)2i s for i less than or equal to D.

The disconnection calculus, Inst-Gen, and DCTP are all somewhat in the style of clause linking, while OSHL and Equinox are more in the style of SATCHMO, though OSHL permits semantic guidance to select ground intances. Perhaps it would be worthwhile to reimplement SATCHMO with a very high inference rate. It appears that instancebased methods have even been incorporated in Vampire to some extent, showing their increasing importance in the field. Instance-based methods appear to perform particularly well on function-free clause sets, and these have some important applications.

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