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» Logic of Proofs for Bounded Arithmetic
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AIML
2004
15 years 1 months ago
A Lower Complexity Bound for Propositional Dynamic Logic with Intersection
This paper shows that satisfiability for Propositional Dynamic Logic with Intersection is EXPSPACE-hard. The proof uses a reduction from the word problem for alternating, exponent...
Martin Lange
APAL
2010
115views more  APAL 2010»
14 years 11 months ago
Kripke semantics for provability logic GLP
A well-known polymodal provability logic GLP is complete w.r.t. the arithmetical semantics where modalities correspond to reflection principles of restricted logical complexity in...
Lev D. Beklemishev
CADE
2003
Springer
15 years 12 months ago
Algorithms for Ordinal Arithmetic
Ordinals form the basis for termination proofs in ACL2. Currently, ACL2 uses a rather inefficient representation for the ordinals up to 0 and provides limited support for reasoning...
Panagiotis Manolios, Daron Vroon
CORR
2008
Springer
148views Education» more  CORR 2008»
14 years 10 months ago
Efficiently Simulating Higher-Order Arithmetic by a First-Order Theory Modulo
In deduction modulo, a theory is not represented by a set of axioms but by a congruence on propositions modulo which the inference rules of standard deductive systems--such as for ...
Guillaume Burel
LPAR
2010
Springer
14 years 9 months ago
On the Satisfiability of Two-Variable Logic over Data Words
Data trees and data words have been studied extensively in connection with XML reasoning. These are trees or words that, in addition to labels from a finite alphabet, carry labels ...
Claire David, Leonid Libkin, Tony Tan