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» Logic of Proofs for Bounded Arithmetic
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AIML
2004
15 years 5 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»
15 years 4 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
16 years 4 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»
15 years 2 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
15 years 2 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