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» Extended First-Order Logic
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LPAR
2012
Springer
12 years 2 months ago
The TPTP Typed First-Order Form with Arithmetic
Abstract. The TPTP World is a well established infrastructure supporting research, development, and deployment of Automated Theorem Proving systems. Recently, the TPTP World has be...
Geoff Sutcliffe, Stephan Schulz, Koen Claessen, Pe...
CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 7 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard
CADE
1997
Springer
13 years 11 months ago
A Practical Integration of First-Order Reasoning and Decision Procedures
Nikolaj Bjørner, Mark E. Stickel, Tom&aacut...
BIRTHDAY
2006
Springer
13 years 11 months ago
Many-Valued Non-deterministic Semantics for First-Order Logics of Formal (In)consistency
Abstract. A paraconsistent logic is a logic which allows non-trivial inconsistent theories. One of the oldest and best known approaches to the problem of designing useful paraconsi...
Arnon Avron, Anna Zamansky
FOSSACS
2005
Springer
14 years 27 days ago
From Separation Logic to First-Order Logic
Separation logic is a spatial logic for reasoning locally about heap structures. A decidable fragment of its assertion language was presented in [1], based on a bounded model prope...
Cristiano Calcagno, Philippa Gardner, Matthew Hagu...