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» Herbrand's theorem and term induction
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LPNMR
2005
Springer
14 years 1 months ago
An Algebraic Account of Modularity in ID-Logic
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
Joost Vennekens, Marc Denecker
APAL
2010
98views more  APAL 2010»
13 years 7 months ago
Classical proof forestry
Classical proof forests are a proof formalism for first-order classical logic based on Herbrand's Theorem and backtracking games in the style of Coquand. First described by M...
Willem Heijltjes
HICSS
1994
IEEE
105views Biometrics» more  HICSS 1994»
13 years 11 months ago
A Methodology for Equational Reasoning
1 This paper presents a methodology to guide equational reasoning in a goal directed way. Suggested by rippling methods developed in the eld of inductive theorem proving we use att...
Jürgen Cleve, Dieter Hutter
ICFP
2008
ACM
14 years 7 months ago
Pattern minimization problems over recursive data types
In the context of program verification in an interactive theorem prover, we study the problem of transforming function definitions with ML-style (possibly overlapping) pattern mat...
Alexander Krauss
TPHOL
2005
IEEE
14 years 1 months ago
Alpha-Structural Recursion and Induction
The nominal approach to abstract syntax deals with the issues of bound names and α-equivalence by considering constructions and properties that are invariant with respect to permu...
Andrew M. Pitts