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JACM
2002
122views more  JACM 2002»
15 years 5 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
ICFP
2010
ACM
15 years 7 months ago
VeriML: typed computation of logical terms inside a language with effects
Modern proof assistants such as Coq and Isabelle provide high degrees of expressiveness and assurance because they support formal reasoning in higher-order logic and supply explic...
Antonis Stampoulis, Zhong Shao
JCT
2007
111views more  JCT 2007»
15 years 6 months ago
Removing even crossings
An edge in a drawing of a graph is called even if it intersects every other edge of the graph an even number of times. Pach and T´oth proved that a graph can always be redrawn so...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
MKM
2007
Springer
16 years 9 days ago
Context Aware Calculation and Deduction
We address some aspects of a proposed system architecture for mathematical assistants, integrating calculations and deductions by common infrastructure within the Isabelle theorem ...
Amine Chaieb, Makarius Wenzel
CORR
2007
Springer
141views Education» more  CORR 2007»
15 years 6 months ago
Acyclicity of Preferences, Nash Equilibria, and Subgame Perfect Equilibria: a Formal and Constructive Equivalence
Abstract. Sequential game and Nash equilibrium are basic key concepts in game theory. In 1953, Kuhn showed that every sequential game has a Nash equilibrium. The two main steps of ...
Stéphane Le Roux