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» Proof Terms for Simply Typed Higher Order Logic
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LMCS
2007
132views more  LMCS 2007»
13 years 7 months ago
The Complexity of Model Checking Higher-Order Fixpoint Logic
Higher-Order Fixpoint Logic (HFL) is a hybrid of the simply typed λ-calculus and the modal µ-calculus. This makes it a highly expressive temporal logic that is capable of express...
Roland Axelsson, Martin Lange, Rafal Somla
CADE
2010
Springer
13 years 8 months ago
Analytic Tableaux for Higher-Order Logic with Choice
Abstract. While many higher-order interactive theorem provers include a choice operator, higher-order automated theorem provers currently do not. As a step towards supporting autom...
Julian Backes, Chad E. Brown
LICS
2007
IEEE
14 years 1 months ago
Higher-Order Matching, Games and Automata
Higher-order matching is the problem given t = u where t, u are terms of simply typed λ-calculus and u is closed, is there a substitution θ such that tθ and u have the same nor...
Colin Stirling
FLOPS
2010
Springer
14 years 2 months ago
Code Generation via Higher-Order Rewrite Systems
Abstract. We present the meta-theory behind the code generation facilities of Isabelle/HOL. To bridge the gap between the source (higherorder logic with type classes) and the many ...
Florian Haftmann, Tobias Nipkow
CORR
2010
Springer
151views Education» more  CORR 2010»
13 years 7 months ago
Redundancies in Dependently Typed Lambda Calculi and Their Relevance to Proof Search
Dependently typed -calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types"...
Zachary Snow, David Baelde, Gopalan Nadathur