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CSL
2007
Springer
15 years 3 months ago
Incorporating Tables into Proofs
We consider the problem of automating and checking the use of previously proved lemmas in the proof of some main theorem. In particular, we call the collection of such previously p...
Dale Miller, Vivek Nigam
CSL
2007
Springer
15 years 3 months ago
Relativizing Small Complexity Classes and Their Theories
Existing definitions of the relativizations of NC1 , L and NL do not preserve the inclusions NC1 ⊆ L, NL ⊆ AC1 . We start by giving the first definitions that preserve them....
Klaus Aehlig, Stephen Cook, Phuong Nguyen
CSL
2007
Springer
15 years 3 months ago
Qualitative Temporal and Spatial Reasoning Revisited
Abstract. Establishing local consistency is one of the main algorithmic techniques in temporal and spatial reasoning. In this area, one of the central questions for the various pro...
Manuel Bodirsky, Hubie Chen
CSL
2007
Springer
15 years 3 months ago
Not Enough Points Is Enough
Models of the untyped λ-calculus may be defined either as applicative structures satisfying a bunch of first order axioms, known as “λ-models”, or as (structures arising fr...
Antonio Bucciarelli, Thomas Ehrhard, Giulio Manzon...
CSL
2007
Springer
15 years 3 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel