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» On the Proof Theory of the Existence Predicate
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RTA
2005
Springer
13 years 11 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
WDAG
2001
Springer
122views Algorithms» more  WDAG 2001»
13 years 10 months ago
Computation Slicing: Techniques and Theory
We generalize the notion of slice introduced in our earlier paper [6]. A slice of a distributed computation with respect to a global predicate is the smallest computation that cont...
Neeraj Mittal, Vijay K. Garg
BIRTHDAY
2010
Springer
13 years 6 months ago
Decidable Expansions of Labelled Linear Orderings
Let M = (A, <, P) where (A, <) is a linear ordering and P denotes a finite sequence of monadic predicates on A. We show that if A contains an interval of order type or -, an...
Alexis Bès, Alexander Rabinovich
COCO
2004
Springer
79views Algorithms» more  COCO 2004»
13 years 11 months ago
Relativized NP Search Problems and Propositional Proof Systems
An NP search problem is the problems of finding a witness to the given NP predicate, and TFNP is the class of total NP search problems. TFNP contains a number of subclasses conta...
Josh Buresh-Oppenheim, Tsuyoshi Morioka
RTA
2009
Springer
14 years 9 days ago
The Existential Fragment of the One-Step Parallel Rewriting Theory
It is known that the first-order theory with a single predicate → that denotes one-step rewriting reduction on terms is undecidable already for formulae with ∃∀ prefix. Sev...
Aleksy Schubert