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» Logics Capturing Local Properties
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POPL
2006
ACM
14 years 5 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
13 years 11 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
13 years 11 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
13 years 9 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