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» Logics Capturing Local Properties
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POPL
2006
ACM
14 years 11 months ago
A fixpoint calculus for local and global program flows
We define a new fixpoint modal logic, the visibly pushdown ?-calculus (VP-?), as an extension of the modal ?-calculus. The models of this logic are execution trees of structured p...
Rajeev Alur, Swarat Chaudhuri, P. Madhusudan
FOSSACS
2007
Springer
14 years 5 months ago
Logical Reasoning for Higher-Order Functions with Local State
Abstract. We introduce an extension of Hoare logic for call-by-value higherorder functions with ML-like local reference generation. Local references may be generated dynamically an...
Nobuko Yoshida, Kohei Honda, Martin Berger
CSL
2007
Springer
14 years 5 months ago
The Power of Counting Logics on Restricted Classes of Finite Structures
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
Anuj Dawar, David Richerby
CSL
2001
Springer
14 years 3 months ago
Capture Complexity by Partition
We show in this paper a special extended logic, partition logic based on so called partition quantifiers, is able to capture some important complexity classes NP, P and NL by its ...
Yijia Chen, Enshao Shen