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» The First-Order Isomorphism Theorem
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ECOOP
1998
Springer
13 years 11 months ago
An Imperative, First-Order Calculus with Object Extension
This paper presents an imperative object calculus designed to support class-based programming via a combination of extensible objects and encapsulation. This calculus simplifies th...
Viviana Bono, Kathleen Fisher
FROCOS
2005
Springer
14 years 1 months ago
Connecting a Logical Framework to a First-Order Logic Prover
We present one way of combining a logical framework and first-order logic. The logical framework is used as an interface to a first-order theorem prover. Its main purpose is to k...
Andreas Abel, Thierry Coquand, Ulf Norell
LICS
1999
IEEE
13 years 11 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
LPAR
2012
Springer
12 years 3 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...
TAP
2010
Springer
134views Hardware» more  TAP 2010»
13 years 5 months ago
Testing First-Order Logic Axioms in Program Verification
Program verification systems based on automated theorem provers rely on user-provided axioms in order to verify domain-specific properties of code. However, formulating axioms corr...
Ki Yung Ahn, Ewen Denney