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» On the Theory of Structural Subtyping
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ICALP
2007
Springer
15 years 3 months ago
Model Theory Makes Formulas Large
Gaifman’s locality theorem states that every first-order sentence is equivalent to a local sentence. We show that there is no elementary bound on the length of the local sentenc...
Anuj Dawar, Martin Grohe, Stephan Kreutzer, Nicole...
CORR
2007
Springer
98views Education» more  CORR 2007»
14 years 9 months ago
Transforming structures by set interpretations
We consider a new kind of interpretation over relational structures: finite sets interpretations. Those interpretations are defined by weak monadic second-order (WMSO) formulas w...
Thomas Colcombet, Christof Löding
SEFM
2006
IEEE
15 years 3 months ago
A Theory of Singly-Linked Lists and its Extensible Decision Procedure
The key to many approaches to reason about pointerbased data structures is the availability of a decision procedure to automatically discharge proof obligations in a theory encomp...
Silvio Ranise, Calogero G. Zarba
TOCL
2012
235views Formal Methods» more  TOCL 2012»
13 years 4 days ago
Topological and Simplicial Models of Identity Types
racting these leads us to introduce the notion of a path object category. This is a relatively simple axiomatic framework, which is nonetheless sufficiently strong to allow the con...
Benno van den Berg, Richard Garner
LICS
1999
IEEE
15 years 2 months ago
First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
Albert Atserias, Phokion G. Kolaitis